CHAPTER XIV.

_COMETS AND COMET-SEEKING._

Ideas concerning Comets.—Appearance.—Large number

visible.—Nature of Apparition.—Tenuity of Comets.—Differences

of Orbit.—Discoveries of Comets.—Large Comets.—Periodical

Comets.—The Comets of Halley, Encke, Biela, Brorsen, Faye,

D’Arrest, Pons-Winnecke, and Tuttle.—Grouping.—Further Observations

required.—Nomenclature of Comets.—Curiosities of Comets.—Naked-eye

Comets.—Comet-seeking.—English weather.—Aperture and Power

required.—Annual rate of Discovery.—Telescopic Comets and

Nebulæ.—Ascertaining Positions.—Dr. Doberck’s hints.—Prizes.

Superstitious ideas with regard to comets as the harbingers of disaster

have long since been discarded for more rational opinions. They are no

longer looked upon as ill-omened presages of evil, or as

“From Saturnius sent,

To fright the nations with a dire portent.”

Many references are to be found among old writings to the supposed evil

influence of these bodies, and to the dread which their appearance

formerly incited in the popular mind. Shakespeare makes an allusion to

the common belief:—

“Hung be the heavens with black, yield day to night!

Comets, importing change of time and states,

Brandish your crystal tresses in the sky;”

and in relation to the habit of connecting historical events with their

apparition, he further says:—

“When beggars die, there are no comets seen;

The heavens themselves blaze forth the death of princes.”

But, happily, the notions prevalent in former times have been

superseded by the more enlightened views naturally resulting from

the acquirement and diffusion of knowledge; so that comets, though

still surrounded by a good deal of mystery, are now regarded with

considerable interest, and welcomed, not only as objects devoid of

malevolent character, but as furnishing many useful materials for

study. Mere superstition has been put aside as an impediment to real

progress, and a more intelligent age has recognized the necessity of

dealing only with _facts_ and explaining them according to the laws of

nature; for it is on facts, and their just interpretation, that all

true searchers after knowledge must rely. Comets are properly regarded

as bodies which, though far from being thoroughly understood in all the

details of their physical structure and behaviour, have yet a wonderful

history, and one which, could it be clearly elucidated, would unfold

some new and marvellous facts. Under these circumstances we need evince

no surprise that these visitors are invariably hailed with enthusiasm,

not only by scientific men, who make them the special subjects of close

observation, but by everyone who regards celestial “sights and signs”

with occasional attention.

_Appearance._—From whatever point of view a large comet is considered,

it deserves all the interest manifested in it and all the labour

expended in its investigation. Whilst its grand appearance in the

firmament arrests the notice of all classes alike, and is the subject

of much curious speculation amongst the uninformed, it merits, apart

from other considerations, the most assiduous observation on account

of the singular features it displays and the striking variations they

undergo. Indeed, the visible deportment of a comet during its rapid

career near perihelion is so extraordinary as to form a problem, the

solution of which continues to defy the most ingenious theories. The

remarkable changes in progress, the quickness and apparent irregularity

of their development, are the immediate result of a combination of

forces, the operations of which can neither be defined nor foreseen.

Jets of flame and wreaths of vapour start from the brilliant nucleus;

while, streaming away from the latter, in a direction opposite to the

Sun, is the fan-shaped tail, often traceable over a large span of the

heavens and commingling its extreme fainter limits with the star-dust

in the background.

_Large number visible._—The orbits of 400 comets have now been

computed, and more than 500 others have been observed; so that these

bodies are extremely plentiful. Kepler described them to be as numerous

as the fishes in the sea, and no doubt the allegory is justly applied.

Their vagaries of form, size, and place are equally noteworthy; and

those who enter upon the discussion of facts relating to these objects

will find an endless store of interesting materials, opening up a wide

field for conjecture.

_Nature of Apparition._—The apparition of a comet may be either gradual

or sudden. Usually the telescope gives us the earliest intimation

that one of these bodies is approaching us[41]. It is first seen as

a small round nebulosity, with probably a central condensation or

stellar nucleus of the 10th or 11th mag. The whole object brightens and

expands as its distance grows less, and it assumes an elongated form

preparatory to the formation of a tail. The latter varies greatly in

different instances: it may either be a narrow ray, as shown in the

southern comet of January 1887, or a fan-shaped extension like that of

the great comet of 1744. Barnard’s Comet of December 1886 exhibited

a duple tail. Occasionally a fine comet bursts upon us suddenly,

like that of 1843 or 1861. The former was sufficiently bright to be

discovered when only 4° from the Sun, and the latter presented itself

quite unexpectedly as a magnificent object even in the strong twilight

of a June sky.

_Tenuity of Comets._—Comets are noteworthy for the extreme thinness of

their material. The smallest stars may be discerned through the denser

portions of the head, without suffering any apparent diminution of

light. Yet such stars would be quite obscured by the interposition of

a minute speck of cloud or by a little fog or any vapour of trifling

density. Comets are visible in the form of transparent nebulosities;

and their mass must be inconceivably small relatively to the enormous

space over which they frequently extend. Sir J. Herschel has described

the “all but spiritual texture” of comets; and other authorities have

referred to them as feeble wreaths of vapour, which, though obeying

the laws of gravitation and suffering much perturbation, are yet

themselves incapable of exercising any disturbing influence upon the

other bodies near which they pass. It has been asserted that comets

would show phases were they rendered luminous by reflected sunlight,

and that, such features being absent, these bodies must possess a

phosphorescence of their own sufficient to cause the glow observed.

This idea, however, is hardly consistent with our present knowledge.

Comets are not compact and coherent masses of matter; they more

likely represent vast groups of planetary atoms, more or less loosely

dispersed and sometimes forming streams. The effect of sunshine

upon such assemblages will be that the whole mass becomes illumined

according to density, and that no phase will be apparent, inasmuch as

the light is enabled to penetrate through its entirety.

_Differences of Orbit._—When three trustworthy observations of a

comet’s place have been made, its orbit may be computed. This may be

either an ellipse, a parabola, or hyperbola. If an _ellipse_ the comet

is periodical, and the period depends upon the degree of eccentricity.

If a _parabola_ the comet will not be seen again, because this form of

orbit does not reunite; it consists of branches equally divergent and

uniting at perihelion, but extending outwards indefinitely in nearly

parallel lines and without convergence. If a _hyperbola_, the comet is

also not returnable; the branches of the orbit are widely divergent,

and show no tendency to parallelism. These several forms of orbit are

somewhat different as applied to various comets, but they are the same

in effect. Thus Tempel’s Comet of 1867 revolves in an ellipse having

an eccentricity of about 0·4630, while that of Halley’s Comet is

0·9674. No doubt some of the parabolic orbits applied to comets really

represent very eccentric ellipses; but the parabola is a convenient

form of orbit for computation, and unless ellipticity is very decided

it indicates the path with sufficient accuracy.

_Discoveries of Comets._—In the latter part of the last century

Messier, Mechain, and Miss Herschel shared nearly all the cometary

discoveries between them. Then Pons entered the field, and he may be

said to have monopolized this branch during the period from 1802 to

1827, for he was the first to announce thirty comets. Pons died in

1831, but the search was actively continued by others. In about 1843

a great rise became apparent in the rate of these discoveries; and we

find Di Vico, Mauvais, and Brorsen very successful at this period.

Later on, the work was sustained with the same prolific results by

Klinkerfues, Bruhns, and Donati, and subsequently by Winnecke, Tempel,

and Coggia. Swift and Borrelly also assisted materially to swell our

knowledge; while during the last few years Barnard and Brooks have

exhibited a surprising amount of zeal in this department. Since 1881 no

less than twenty-six comets are to be enumerated as the fruits of their

endeavours, and they are still engaged in nightly explorations of the

sky with similar ends in view. Their diligent pursuit of these fugitive

bodies will doubtless result in many further additions during ensuing

years.

It is a curious circumstance that Sir W. Herschel, during all his

star-gaugings and sweeps for nebulæ, never discovered a comet. He found

a nebula on Dec. 18, 1783, near δ Ceti, which he described as “small

and cometic.” In Sir J. Herschel’s ‘General Catalogue of Nebulæ,’

1864, p. 17, this object is presumed to have been a comet, as it could

not be identified; but at p. 45 the doubts are cleared up, and Sir W.

Herschel’s nebula, the position of which was only roughly given, is

shown to be the same as another very near; it is No. 1055 of the new

‘General Catalogue’ published by the Royal Astronomical Society in

January 1888. Quite possibly Sir W. Herschel’s lists of nebulæ contain

several comets, as some of his objects are missing; but errors of

observation in ascribing positions may explain this. Herschel himself,

in speaking of a comet visible in the winter of 1807-8, says:—“If I had

met the comet in one of my sweeps, as it appeared between Dec. 6 and

Feb. 21, I should have put it down as a nebula. Perhaps my lists of

nebulæ, then, contain some comets.”

_Large Comets._—The most widely observed and attractive class of

comets includes those of large proportions, as they are not only

visible to the naked eye, but exhibit features having the lustre

necessary to permit of their examination with high magnifying powers.

A brief summary of some of the finest comets of modern times is

subjoined; but, to save space, a few only of the more salient facts

concerning them are given:—

1577, Nov. and Dec.—Observed by Tycho Brahe. At the end of November it

had a double tail; the longest of the two branches was about 20°. This

comet was visible in the daytime.

1618 II., Nov.—“The length of its tail equalled in extent one sixth

part of the zodiac.” On Nov. 18 it was estimated as 40°. Longomontanus,

however, described it as 104° long, and Cysatus estimated it as 75°.

Kepler referred to it as the largest comet that had appeared for a

hundred and fifty years.

1680, Dec.—A fine comet, which on Dec. 12 had a narrow tail about 80°

long. The nucleus was equal to a 1st mag. star. Hooke remarked jets of

flame issuing from the nucleus. At perihelion the comet approached very

near the Sun’s surface, similarly to the fine comets of 1843, 1880, and

1882.

1744, Jan.-Feb.—Probably the largest comet of the 18th century. At

one time it displayed six tails, each of which was 4° in breadth. The

head was so bright that it was perceived with the naked eye in full

sunshine. At the middle of February the tail was 24° long, and it was

divided into two branches.

1769, Sept.—Discovered on Aug. 8 by Messier. On Aug. 30 the comet had a

trifid tail; there was a central ray of 24° and two outlying ones of 4°

each. On Sept. 19 the tail had increased to 75°, and a few nights later

Pingre estimated it as 90° and 97°.

1811 I., Sept.-Oct.—A very fine comet. The tail was branched; it did

not, however, exceed 25° in length and about 6° in breadth. Sir W.

Herschel found the nucleus to be 428 miles in diameter. This remarkable

comet remained visible during a period extending over seventeen months.

Its period is approximately 3000 years.

1843, Mar.—Visible in the daytime. On Mar. 4 its tail was 69° in

length; it was very narrow, being only 1-1/4° in breadth throughout.

At perihelion this object passed very near to the Sun, like the great

comet of 1680. it revolves in an elliptical orbit; period about 376

years. This comet swept past perihelion with a velocity of 366 miles

per second! The real length of its tail was 200 millions of miles!

1858 VI., Sept.-Oct.—Donati’s Comet: one of the most brilliant comets

of the 19th century. Early in October it displayed a tail about 40°

long, and on the 5th it passed over the star Arcturus. Its period of

revolution appears to be about 2000 years.

1861 II., June-July.—Became suddenly visible at the end of June. In

the opinion of Sir John Herschel this comet surpassed in grandeur

the comets of 1811 and 1858. On June 30 the nucleus was equal to the

brightness of Venus, and the tail was 80° long; but early in July it

increased to 90°. One observer estimated its length as 100° on July 2.

This comet remained visible during twelve months. It appears to have an

elliptical orbit, with a period of 409 years.

1874, July.—Coggia’s Comet: a fine object in the northern sky. On July

14 the tail was 35° long, and it remained visible several days after

the nucleus had disappeared below the horizon. The nucleus was about

equal to a star of the 1st mag. Orbit probably elliptical, with a

period of about 5711 years.

1880 I., Jan.-Feb.—A southern comet, with a long narrow tail, variously

estimated from 30° to 40° in length. It passed very near to the Sun,

and presents an orbital resemblance to the fine comets of 1680 and 1843.

1881 III., June-July.—This large comet appeared in the northern heavens

on June 22, and became generally visible to observers in England. On

the 27th it had a tail 15° long. Its period of visibility extended over

nine months.

1881 IV., Aug.—This comet is scarcely entitled to rank as one of

exceptional character; but it was a conspicuous object for several

weeks in August, and had a tail 6° long on the 19th.

1882 III., Oct.—Well visible in the morning sky, with a tail 22° long.

The nucleus underwent remarkable changes, and on Oct. 23 it showed four

or five bright points or nuclei, looking like “a string of beads.” The

comet threw off several small condensations, which were observed as

separate comets near the parent mass. At perihelion this comet passed

very close to the Sun, like the comets of 1680, 1843, and 1880; and

these bodies were suspected to have an intimate relation, if not an

absolute identity. But subsequent inquiries disproved this startling

supposition; for the comet of 1882 was shown to have a period of about

718 years.

1887 I., Jan.—A fine southern comet, presenting many points of

resemblance to that of 1880 I. On Jan. 22, as observed at Adelaide,

the comet had a long narrow tail of about 30°, but no well-defined

nucleus. On the same date, at the Cape of Good Hope, the tail appeared

as a narrow ribbon of light, quite straight, and of nearly uniform

brightness throughout its length. It was visible in the same region of

the sky as the comet 1880 I., and came into view with equal suddenness.

_Periodical Comets._—On page 235 is a list of the periodical comets as

at present known. Some of these, marked with an asterisk, have only

been observed at one return, and therefore await complete confirmation.

Many other comets have shown indications of pursuing elliptical orbits.

Amongst those of short period may be mentioned 1743 I., 1766 II., 1783

I., 1819 IV., 1844 I., and 1873 VII. The following are examples of

longer periods:—

Comet. Period.

1862 III. 121 years.

1857 IV. 234 ”

1861 I. 415 ”

1860 III. 1089 ”

1889 IV. 5100 ”

1877 II. 8393 ”

1847 III. 13918 ”

1877 III. 28,000 ”

1850 I. 29,000 ”

1780 I. 75,314 ”

1844 II. 102,050 ”

1744 122,683 ”

1849 I. 382,801 ”

1882 I. 400,000 ”

These figures are to be regarded as approximations only.

+——————————————+——————-+——————————————-+——————————-+————————-+

| |Period,| Perihelion | Long. of | Long. of|

| Name. | in | Passage. |Perihelion.|Ascending|

| |years. | | | Node. |

+——————————————+——————-+——————————————-+——————————-+————————-+

| | | | ° ′ | ° ′ |

| Encke | 3·29 |1888, June 28 | 158 36 | 334 39 |

| Tempel (1873)| 5·20 |1878, Sept. 7 | 306 8 | 121 1 |

|*Barnard | 5·40 |1884, Aug. 16 | 301 2 | 5 9 |

| Brorsen | 5·46 |1879, Mar. 30 | 116 15 | 101 19 |

| Pons-Winnecke| 5·73 |1886, Sept. 16 | 276 4 | 101 56 |

| Tempel(1867) | 5·98 |1879, May 7 | 238 11 | 78 46 |

| Tempel-Swift | 5·99 |1880, Nov. 8 | 43 0 | 296 42 |

|*Brooks (1886)| 6·30 |1886, June 7 | 229 46 | 53 3 |

|*Spitaler | 6·40 |1890, Oct. 26 | 58 24 | 45 8 |

| Biela | 6·62 |1852, Sept. 23 | 109 8 | 245 52 |

| D’Arrest | 6·64 |1890, September| 319 9 | 146 9 |

|*Finlay | 6·67 |1886, Nov. 22 | 7 34 | 52 30 |

|*Wolf | 6·78 |1884, Sept. 27 | 352 31 | 206 18 |

|*Swift | 6·91 |1889, Nov. 29 | 69 29 | 331 27 |

|*Brooks (1889)| 7·07 |1889, Sept. 30 | 1 26 | 17 59 |

| Faye | 7·57 |1888, Aug. 19 | 50 56 | 209 42 |

|*Denning | 8·69 |1881, Sept. 13 | 312 31 | 65 57 |

|*Peters | 12·80 |1846, June 1 | 240 7 | 260 28 |

| Tuttle | 13·66 |1885, Sept. 11 | 116 28 | 269 42 |

|*Tempel (1866)| 33·18 |1866, Jan. 11 | 60 28 | 231 26 |

|*Stephan | 33·62 |1867, Jan. 20 | 75 52 | 78 36 |

|*Westphal | 67·77 |1852, Oct. 13 | 43 12 | 346 13 |

| Pons | 71·48 |1884, Jan. 25 | 93 21 | 254 6 |

| Olbers | 72·45 |1887, Oct. 8 | 149 45 | 84 30 |

|*Di Vico | 73·25 |1846, Mar. 6 | 90 35 | 77 36 |

|*Brorsen | 74·97 |1847, Sept. 10 | 79 13 | 309 49 |

| Halley | 76·37 |1835, Nov. 15 | 304 32 | 55 10 |

+——————————————+——————-+——————————————-+——————————-+————————-+

+——————————————+——————-+————-+——————-+

| |Incli- | Mo- | Next |

| Name. |nation.|tion.|Return.|

| | | | |

+——————————————+——————-+————-+——————-+

| | ° ′ | | |

| Encke | 12 53 | D | 1891 |

| Tempel (1873)| 12 46 | D | 1894 |

|*Barnard | 5 28 | D | 1895 |

| Brorsen | 29 23 | D | 1895 |

| Pons-Winnecke| 14 27 | D | 1892 |

| Tempel(1867) | 9 47 | D | 1891 |

| Tempel-Swift | 5 31 | D | 1892 |

|*Brooks (1886)| 12 56 | D | 1892 |

|*Spitaler | 12 52 | D | 1897 |

| Biela | 12 33 | D | ? |

| D’Arrest | 15 43 | D | 1897 |

|*Finlay | 3 2 | D | 1893 |

|*Wolf | 25 16 | D | 1891 |

|*Swift | 10 3 | D | 1896 |

|*Brooks (1889)| 6 4 | D | 1896 |

| Faye | 11 20 | D | 1896 |

|*Denning | 6 51 | D | 1899 |

|*Peters | 30 24 | R | ? |

| Tuttle | 54 19 | D | 1899 |

|*Tempel (1866)| 17 18 | R | 1899 |

|*Stephan | 18 13 | D | 1900 |

|*Westphal | 40 59 | D | 1920 |

| Pons | 74 3 | D | 1955 |

| Olbers | 44 35 | D | 1960 |

|*Di Vico | 84 57 | D | 1919 |

|*Brorsen | 19 8 | D | 1922 |

| Halley | 17 45 | R | 1912 |

+——————————————+——————-+————-+——————-+

_Halley’s Comet._—A fine comet with a tail about 15° long appeared in

the summer of 1682, and Halley computed the orbit according to the

method explained by Newton. He then consulted observations of previous

comets, and discovered a great similarity in the paths of large comets

seen in 1531 and 1607 to that of the one he himself had observed in

1682. He thereupon suspected the three bodies to be one and the same,

and advised posterity to maintain a strict watch for the comet’s return

in about 1758 or 1759. On pursuing his investigations still further, he

alighted upon records of comets in 1305, 1380, and 1456, which greatly

strengthened his opinion that the comet of 1682 moved in an elliptical

path with a period of about 75½ years. He termed this body “the

Mercury[42] of comets, revolving round the Sun in the smallest orbit,”

and said that, should it reappear according to his prediction in about

the year 1758, “impartial posterity must needs allow this to be the

discovery of an Englishman.”

As the time drew near for the return of the comet, interest became

intensified, and computations were made by Clairaut with a view to

determine the precise epoch when it would arrive at perihelion. He

found that the comet would be retarded by the action of Jupiter and

Saturn, but that perihelion would be reached at the middle of April

1759, subject to an uncertainty of 30 days. The comet was rediscovered

on Dec. 25, 1758, by Palitzch, an amateur astronomer at Politz, near

Dresden, who employed a telescope of 8 feet focal length, and appears

to have anticipated Messier and others who were on the alert for it.

It arrived at perihelion on March 12, 1759, and within a month of the

date announced by Clairaut. Early in May it had a tail nearly 50° long,

and presented a fine aspect in the heavens. Thus the sagacity of Halley

had revealed a periodical comet—the first known. It duly returned again

in 1835, and received all the attention which a body so replete with

historical associations deserved.

[Illustration: Fig. 47.

Comet 1862 III. (Aug. 19, 1862).]

[Illustration: Fig. 48.

Sawerthal’s Comet, 1888 I. (March 25, Brooks).]

_Encke’s Comet._—Until the year 1819 Halley’s Comet was the only one

certainly known to be periodical. Then the able deductions of Encke

presented us with a veritable “Mercury[43] of comets.” He showed that

a small comet, discovered by the unwearying Pons of Marseilles on Nov.

26, 1818, was really identical with three previous comets—viz. 1786 I.

(Mechain), 1795 (C. Herschel), and 1805 (Thulis),—and that its period

was a very short one of about 3-1/3 years. Its return to perihelion

was predicted to occur on May 24, 1822, and this was observed in the

southern hemisphere. It returned again on Sept. 16, 1825, and on this

occasion the circumstances were more favourable. Since 1825 this

object has effected nineteen returns to perihelion, and one of the

most singular facts noticed in connection with it is that its period

is gradually shortening. In 1795 it was 1212 days, while in 1858 it

was 1210. In order to explain this contraction of orbit, it has been

necessary to assume the existence of a thin medium in space capable

of affording a slight resistance to the tenuous materials of a comet,

though not dense enough to appreciably affect the motions of planets.

If this closing-up of the orbit and shortening of period continue

to operate through a vast interval of time, Encke’s Comet must be

ultimately precipitated upon the Sun![44]

_Biela’s Comet._—This comet was discovered on Feb. 27, 1826, by Wilhelm

von Biela, an Austrian officer, at Josephstadt in Bohemia, and ten

days later by Gambart at Marseilles. It was found to be revolving in

an orbit of short period, and its elements presented an agreement with

those of the comet of 1772 (Montaigne) and 1806 I. (Pons). Identity

was inferred, and the next return was fixed for Nov. 27, 1832, when

the object reappeared with great punctuality. At the end of 1845 this

comet displayed some startling phenomena; for it divided into two

portions, apparently quite disconnected, and which travelled side by

side, separated by an interval of more than 150,000 miles! The double

comet was observed again in 1852, when the interval separating them

had, however, increased eightfold, for the dark space between measured

1,250,000 miles. This instance of a divided comet is by no means

unique. The great comet of 1882 underwent a process of disruption, by

throwing off small masses of nebulosity, which, however, survived

the separation only a few days. Brooks’s Comet (1889 V.) was found by

Barnard, on Aug. 1, 1889, to be divided into four parts! Two of these

had a brief existence; but one of the minor fragments retained a very

distinct appearance near the parent mass during the ensuing months

of September and October. The phenomena of Biela’s Comet found an

excellent counterpart here.

[Illustration: Fig. 49.

Brooks’s double Comet, Sept. 17, 1889.

(10-inch reflector, power 60. W. F. Denning.) ]

Since 1852 Biela’s Comet has been lost. The most assiduous observations

have failed to recover it, and the conclusion seems irresistible that

further disintegrations have occurred and that its material has been

dispersed beyond recognition. The great meteoric storms of Nov. 27,

1872 and 1885, were derived from this comet, and there is little reason

to hope that _as a comet_ it will ever be seen again.

_Brorsen’s Comet._—A small comet was discovered in Pisces by Theodor

Brorsen, at Kiel, on the evening of Feb. 26, 1846, Its observed path

soon gave traces of an elliptical orbit; and the period was found to be

about 5·58 years. The comet was re-observed at its return to perihelion

in 1857, 1868, 1873, and 1879; but in 1884 it was looked for in vain.

This comet was expected in February 1890, and several observers swept

for it diligently, but to no purpose. Are we, therefore, to regard

this as another lost member of our system? Has the comet of Brorsen,

like that of Biela, suffered dispersion in such degree as to be no

longer within the reach of our powerful telescopes? Should negative

results again attend observers in 1895, when the comet ought to return,

there will be no reason to doubt its actual disappearance. It may be

mentioned that owing to planetary perturbations, the period of this

body has rapidly become shorter since 1846. It was then 2034 days, but

in 1879 was reduced to 1995 days.

_Faye’s Comet._—First seen at the Paris Observatory on the night of

Nov. 22, 1843, when it was near the star Bellatrix in Orion. The

observations clearly proved the comet to be moving in an elliptical

path, and Dr. Goldschmidt of Göttingen determined its period as 7½

years. It was re-observed in 1851, and also during each of its five

subsequent returns, the last of which occurred in August 1888. The

orbit of this body approaches nearer to the circular form than that of

any other known comet, except Tempel’s of 1867. Its perihelion distance

is considerable, for it never comes within the orbit of Mars. Prof.

Möller, of Lund, has investigated the path with all the critical acumen

of a profound mathematician, and, chiefly owing to his labours, it is

now regarded as one of the best known members of our system.

_D’Arrest’s Comet._—Discovered at the Leipsic Observatory on June

27, 1851. M. Villarceau discussed the orbit, and announced it as an

elliptic one with a periodic time of about 6½ years. The comet was

redetected at its return in 1857-8, 1870, 1877, and 1890. It is a very

faint object.

_Pons-Winnecke’s Comet._—Discovered at Bonn on March 8, 1858, and on

the elements being computed they were found nearly coincident with

those of Pons’s Comet, 1819 III. Encke had assigned a period of 5·62

years for the latter, but it managed to escape observation during the

six returns that occurred in the 39 years between 1819 and 1858. Its

identity was fully established in 1869, when it was again observed.

_Tuttle’s Comet._—A faint, diffused comet was discovered in the

northern part of Hercules by H. P. Tuttle, of Cambridge, U.S.A., on

Jan. 4, 1858. Its elements on being calculated were found by Pape to

be similar to those of a comet discovered by Mechain on Jan. 9, 1790,

and an elliptic orbit with a period of 13·66 years was derived from the

new observations. On the assumption that the two bodies were one and

the same there must have occurred four unobserved returns to perihelion

between 1790 and 1858. The year 1871 was awaited in settlement of the

question. When it came the comet returned, and the predictions received

exact verification. Thus the comets of Mechain and Tuttle were placed

in the inseverable bonds of identity.

Of the other periodical comets it will be unnecessary to give details.

Some of them are still without full corroboration, only one return

to perihelion having been observed. The reappearance of Pons’s Comet

(1812) in 1883-4, and of Olbers’s Comet (1815) in 1887 furnished two

excellent examples of well-determined comets belonging to the same

class as that of Halley. Tempel’s discoveries in 1867, 1869, and 1873

afforded some interesting additions to the family of short-period

comets, and the list of these is continually extending owing to the

assiduity of observers, though the lost comets of Biela and Brorsen

will have to be removed from it. Peters’s Comet of 1846 is also

doubtful, as it escaped rediscovery in about 1859, 1872, and 1884; but

this object may yet be captured at one of its succeeding apparitions.

These bodies often evade redetection when their periods and paths are

not accurately known. This has been fully exemplified in the case of

the comets of Pons-Winnecke and Tuttle, which were unseen at several

consecutive returns. It has been supposed, and not without reason, that

the periodical comets are in process of wearing away. They apparently

grow fainter at each return. Halley’s Comet in 1835 was only moderately

bright, whereas in ancient times its appearance was magnificent.

[Illustration: Fig. 50.

Pons’s Comet (1812). Telescopic view. 1884, January 6, 5^h 50^m.

(10-inch reflector, power 60. W. F. Denning.)]

[Illustration: Fig. 51.

Pons’s Comet (1812). Telescopic view. 1884, January 21, 13^h 18^m.

(5-inch refractor; comet-eyepiece, field 1-1/4°. E. E. Barnard.)]

_Grouping of Periodical Comets._—It is a curious circumstance that

these bodies are assorted into groups having their aphelia near the

orbits of major planets. The short-period comets comprised within

the orbits of Encke’s (3·29 years) and Denning’s (8·69 years)

have aphelia in the region of the path of Jupiter, hence they

are occasionally referred to as Jovian comets. The next group is

represented by the comets of Peters and Tuttle, with aphelia near

Saturn. The third group includes the comets of Tempel and Stephan,

with aphelia just outside the orbit of Uranus. The fourth group is

shown by the comets of Halley, Pons, and Olbers, with three others

less certainly ascertained, with aphelia exterior to Neptune. There

are unmistakable indications of other groups far outside the known

boundaries of the solar system, but these are not so well defined.

This clustering of cometary orbits has been ascribed to the attractive

influences of the large superior planets, which are so capable of

disturbing the paths of comets passing near that the orbits become

transformed, and the aphelia henceforth lie near the points of extreme

perturbation. This has been called the “capture theory;” and there is

also an “ejection theory,” which supposes the periodical comets to have

had their birth in planetary ejections.

M. Hoek of Utrecht has found cases in which the orbits of two or more

comets exhibit a common point of intersection in distant space, and

infers their derivation from the same origin.

_Further Observations required._—One of the chief and essential

features in cometary work is the accurate determination of positions.

But this entails the possession of expensive instruments, and a

knowledge which amateurs have not always acquired. This department of

labour can well be left to the trained hands at large observatories,

where, fortunately, it meets with every attention. Ordinary observers

will merely require to know the approximate place, and this is to be

found by estimating the difference in R.A. and Dec. between a comet

and a known star. The position of the latter may be found in a good

catalogue and corrected for precession; then, allowing for the observed

differences, the comet’s place may be assigned to within very small

limits of error. A low power, embracing a field of 1° or more, is best

adapted for these observations, as it is more likely to include a

catalogued star, and will exhibit the comet, especially if a large one,

to the best effect.

The announcement of a new comet is always read with avidity by

amateurs, and their first desire is to see it for themselves. This

they may readily do by marking its place on a star-map or globe, and

noting its relative place amongst the stars near. The telescope should

then be directed towards the point indicated, and if the comet is not

presented in the field, the instrument should be moved a little so

that the surrounding region may be examined. If failure still attends

the effort, the observer should point the telescope a few degrees E.

or W. of the suspected point, and then carefully sweep over the place

of the comet. It will then be picked up, unless it is too faint for

his aperture. The first announcement of a comet generally gives the

position at discovery, and the daily rate and direction of motion. The

latter must of course be allowed for when the search is instituted.

The physical aspects of comets are as diversified as they are variable.

No two comets are exactly alike, nor does the same comet exhibit a

permanency of detail. Of course, when these objects are enormously

distant, and barely visible, many of them appear to present similar

characteristics; but under the closer and more expanded views

obtainable near perihelion the resemblance vanishes, and every comet is

seen to possess features peculiar to itself. To trace these features,

and to record them by delineation and description, forms one of the

most interesting branches in which amateurs may engage. Much has been

learnt of previous comets by successively noting their transitions of

form and brightness, and the same scrupulous attention should be given

to future comets.

The tails of comets are not always turned away from the Sun. Indeed,

the contrary effect is sometimes produced. Occasionally there is a

duple tail, the largest branch of which follows the normal direction,

while the other is turned towards the Sun. Forms of this character

require close watching from night to night. Is the sunward tail

developed suddenly? and has it a fairly durable existence? Instances of

singular curvature should also be noted. The tails are seldom perfectly

straight, especially those attached to naked-eye comets, and decided

changes affect their visible outlines at very short intervals. In large

comets the space over which the tail extends should be sketched upon a

star-map on successive evenings; its changes of position and curve will

then be manifested by comparisons, and its increasing or decreasing

length will also be apparent. Dark rifts, like shadows, often run

lengthwise through the tail, and occasion a fan-like appearance

analogous to that which distinguished the great comet of 1744 and gave

it a sextuple tail.

The light of comets sometimes fluctuates in a very extraordinary

manner, and too rapidly and irregularly to be consistent with theory.

In this respect, Pons’s Comet, at its last return in 1883-4 presented

an eccentric behaviour. Bigourdan found that during the nineteen days

from Sept. 5 to 24, 1883, the increase in the comet’s brilliancy

exceeded by thirty or forty times that resulting from reflected light

alone! This increase appears to have been due to a sudden outburst on

Sept. 22, which occurred some time within the four hours preceding

midnight. Dr. Müller, of Potsdam, witnessed a further outburst on Jan.

1, 1884, within 1-3/4 hour; and the extent of this was accurately

determined by means of a photometer. He found an augmentation of

seven tenths of a magnitude in the brightness of the comet, and an

equally sudden fall to its previous lustre. While these fluctuations

were in progress, he noticed variations in the shape of the nucleus

not less remarkable than its variations in light. Those who observe

future comets will do well, therefore, to be on the alert for similar

phenomena. The apparent brightness of the nuclei and alterations of

shape or size should be recorded on every night when observations are

feasible.

As a comet approaches the Sun its material apparently contracts, while

with increasing distance from that luminary it expands. Usually the

nucleus is extremely small and bright, and it often looks like a star

shining through nebulosity. High powers must therefore be applied

in its examination. Jets, aigrettes, luminous sectors, and other

appendages are often involved with the nucleus and outlying coma, and

they form a complicated structure well deserving further study. A good

deal of mystery still surrounds these appearances; their curious forms

and vagaries have yet to be explained.

Stars are frequently observed through the head of a comet, which

apparently, however, exercises no influence in dimming their lustre.

But the stars are commonly seen behind the envelopes or comæ, and very

rarely through the nucleus. Nothing is better calculated to exhibit

the transparent and tenuous character of comets than observations of

this kind, and observers should seek for further opportunities of

making them. If the motion of a comet is obviously carrying it in the

direction of one of the stars in the field, the observer may determine

for himself the approximate time of conjunction by noting the distance

between the star and comet and allowing for the motion of the latter.

He will then know when to come to his telescope and witness the

phenomenon. Should it appear probable that the comet’s nucleus will

pass over the star, he should commence his watch some time before it

occurs; he may then make comparisons before the star is involved in

the outlying nebulosity, and trace the whole event from beginning to

end. Any changes in the light or aspect of either star or comet would

then be manifested. The comet of 1847 is said to have passed centrally

over a 5th mag. star, but the latter was unaffected. Encke’s Comet on

one occasion interposed itself directly over one of a pair of 10th

mag. stars, but their relatively equal brilliancy suffered no change.

Encke’s Comet, however, has no stellar nucleus. The latter feature

is so bright and compact as displayed in many other comets, that its

transit over a small star must have some effect either in obliterating

it altogether, or in detracting from its lustre.

Visible evidences of rotation seem to have been suspected in certain

comets, but this has never been substantiated on sufficient grounds.

The circumstance is one, however, which should be remembered. During a

series of observations the observer who notes the details of structure

with particular regard to position may discover similar traces, and

possibly learn something of the cause. The nucleus of a bright comet

should always be examined with a moderately high power, so that any

variations or peculiarities of form may be detected.

_Nomenclature of Comets._—It must be confessed that no perfectly

satisfactory method has yet been devised as regards the naming of

comets. The plan of affixing Roman numbers progressively for each

year, according to date of perihelion passage, answers pretty well,

though a little confusion is sometimes caused by prematurely affixing

the number, especially when two comets are discovered successively,

the first of which is a long time before perihelion, and the second

considerably after it. Until a comet can be safely assigned its

catalogue place, it is preferable to refer to it by the name of the

discoverer and date of discovery. This is more distinctive than the

common method of lettering comets according to the epochs of their

detection. As to periodical comets, it is not difficult to find some

inconsistencies in their names. In the case of Halley’s Comet (1682,

discovered by Flamsteed) and Encke’s Comet (1819 I., discovered by

Pons), it was most fitting that they should be known to posterity by

the names of the two able computers whose investigations first revealed

to us comets of long and short period respectively. Under ordinary

circumstances the name of the discoverer is applied to a comet as a

means of convenient reference, and perhaps as a suitable recognition

of the patient labours of the man who first announced it to the world.

The plan seems to have been to name comets after those fortunate

persons who sighted them at the particular apparition during which

periodicity was determined. Thus Tuttle’s Comet (1858 I.) had been seen

as long before as 1790 by Mechain, and Biela’s (1826 I.) was previously

observed in 1772 by Montaigne, and in 1805 by Pons. It is, however,

strange that a comet found by Pons in 1819 (III. of that year), and

which Encke showed to be revolving in an ellipse with a periodic time

of 5½ years, should be called after Winnecke, who rediscovered it in

1858. To Pons the real priority belongs, though Winnecke deserves

much praise for redetecting and identifying this body after it had

effected six unobserved returns to perihelion. It is also curious to

find that the comet of short period discovered by Swift in 1880 is

called “Tempel’s 3rd Comet” in Galle’s catalogue (1885), from the fact

that Tempel found it at a previous return (1869), when, however, its

period was not ascertained. There is little doubt that the title justly

belongs to Swift. Tempel himself called it “Swift’s Comet.” One plan

should in fairness to observers be consistently adhered to. If comets

are to be called after their original discoverers, then Biela’s Comet

should be known as “Montaigne’s,” Tuttle’s as “Mechain’s,” &c.

_Curiosities of Comets._—The comet of 1729, which was hardly visible to

the naked eye, has far the greatest perihelion distance (4·0435) of any

comet known. Barnard’s Comet (1885 II.) comes next with a perihelion

distance of 2·5068.

Pons’s Comet at its return in 1883-4 remained visible for nine months.

When last seen, on June 2, 1884, it was 470 millions of miles from the

Earth, and more remote in the depths of space than any other observed

comet since that of 1729. Barnard’s Comet (1889 I.), though never

visible to the naked eye, was followed from Sept. 2, 1888, to Aug. 18,

1890. Its distance from the Sun was then 6·25 (Earth’s distance = 1),

or about 580 millions of miles, which is greater than that of many of

the short-period comets at aphelia. The most prolonged visibility of

any previous comet was that of 1811 I. (510 days). But this comet of

Barnard has been retained in view 715 days.

The great comet of 1882 was watched right up to the Sun’s limb by

Messrs. Finlay and Elkin at the Cape of Good Hope on Sept. 16, 1882.

The comet was actually seen to disappear at the margin, and not a

vestige of it could be traced during its transit across the solar

disk. The nucleus of the comet was 4” in diameter, and before transit

it looked as bright as a part of the Sun’s surface; but it was quite

invisible when projected on the disk. The alleged observations by

Pastorff and Stark, which were construed into visible transits of

comets, are therefore thoroughly disproved, and will require another

interpretation.

At the time of the total solar eclipse of May 17, 1882, a bright comet

was observed near the Sun. It was a striking object visible to the

naked eye. In the photographs which were taken of the eclipse the comet

is well shown, but this body escaped subsequent observation, so that

its orbit could not be determined.

_Naked-eye Comets._—Arago mentions that twelve comets were visible to

the naked eye during the period from 1800 to 1853, but there appear

to have been certainly thirty comets fulfilling this condition, and I

believe a careful search amongst cometary records would further augment

the number. During the ten years from 1880 to 1889 inclusive there

were no less than sixteen comets perceptible to unaided vision, and a

considerable proportion of these were fine comets. It is very rarely

that two naked-eye comets are to be seen at the same epoch, as in

August 1881 and at the end of April 1886.

_Comet-seeking._—For a long time after the invention of the telescope

comet-seeking does not appear to have been undertaken in a methodical

way, and to have formed the habitual work of certain observers. But

the expected return of Halley’s Comet in 1759 roused observers to

take the initiative in a branch of practical research which in after

years was destined to prove remarkably productive. Messier, Palitzch,

and others began a system of sweeping the heavens for the predicted

comet; and it had a successful issue, for Palitzch, who did not relax

his labours even on Christmas day, alighted upon the coveted prize on

Dec. 25, 1758. Since that time a regular search after comets has been

maintained. Messier pursued it with indomitable energy through a long

period of years, and achieved many successes. It is said of him that

on one occasion he was anticipated in a discovery by Montaigne, and

he appears to have deplored the loss of the comet more than the loss

of his wife, who was lying dead at the time. A friend visited him,

and spoke a few words of sympathy in reference to his bereavement,

but Messier, in despair about the comet, exclaimed: “I had discovered

twelve—alas! that I should be robbed of the thirteenth by Montaigne!”

and his eyes filled with tears. Recollecting himself, and appreciating

the loss he had sustained in his wife, he added, “Ah, this poor woman!”

Messier encountered some serious obstacles to his favourite pursuit.

Breen, in his ‘Planetary Worlds,’ mentions that Messier, while walking

in President Saron’s garden, fell into an ice-house, and was disabled

for a time. Later on “the revolution deprived him of his little income

and every evening he was wont to repair to the house of Lalande to

replenish the supply of oil for his midnight lamp. The political storm

necessitated his removal to another neighbourhood, where he no longer

heard the clocks of forty-two churches sounding the hours during his

night-watchings.” Messier discovered all his comets with a small 2-foot

telescope of 2½ inches aperture magnifying 5 times and with a field of

4°.

Dr. Olbers, of Bremen, was another diligent student in this field. He

did not effect many discoveries, but, from an upper apartment of his

house, he observed nearly all the comets which appeared during half a

century.

During the first twenty-seven years of the present century, Pons

discovered the majority of the comets that were seen. He was a

door-keeper at the Observatory at Marseilles, and owing to the teaching

and encouragement he received from Thulis, the director, he achieved

phenomenal success as a comet-hunter.

Discoveries of comets have rarely been effected in England. This

is chiefly to be assigned to two circumstances. First, because the

labour involved in seeking for these bodies has never perhaps been

pursued to an equal degree and with the same tenacity as it formerly

was in France, and as it has recently been in the United States; and

second, because the cloud-laden skies of England oppose the successful

prosecution of a research in which a clear atmosphere is eminently

desirable.

Though comet-seeking does not always produce new discoveries, it is

certainly entertaining to those engaged in it; for one of the most

agreeable diversions of telescopic work is to scan the firmament with a

large-field comet-eyepiece, which exhibits the most pleasing views of

star-groups, coloured stars, nebulæ, and telescopic meteors.

The operation of sweeping for comets is attractive from other aspects,

though it undoubtedly needs close application, patience, and much

caution. The possibility of seeing a comet in the field at any time

proves a constant source of allurement to the observer, and sustains

his enthusiasm. The glimpsing of a nebulous object, and the expectation

(before it has been identified) that it _may_ prove a comet, induces

a little excitement which pleasantly relieves the monotony that might

otherwise be attached to a sedulous research of this nature; and it

is one in which amateurs may suitably engage with a fair prospect of

success. Instruments of great power, refinement, and expense are not

required. It is rather a work calling for the exercise of patience and

acute perception, and for that tireless servitude which those only who

have an inborn love for it can maintain.

_English Weather and Comet-seeking._—Only two new comets having been

discovered in England during the last forty years some people regard

our climate as in a great measure responsible for this. But the opinion

seems to be erroneous. The lack of discoveries has arisen from want

of effort as much as from want of opportunity. The best weather for

comet-seeking is when the atmosphere is very transparent, and the

stars are lucid and sparkling. Haze, fog, or cloud of any kind offers

a serious hindrance. A thoroughly good night for planetary work is

not usually good for cometary observation, because sharp definition

is not so requisite as a very clear sky. A little fog or thin cloud,

which will often improve planetary images, utterly obliterates a small

telescopic comet. The air is sometimes very pure and dark after storms,

and the stars remarkably bright; it is then that the best opportunities

are afforded for comet-hunting. Any systematic and regular work like

this may be pursued in this country with every prospect of success by

an observer who will persevere in it. From some statistics printed in

the ‘Science Observer,’ Boston, it appears that during the seven months

from May to November, 1882, Lewis Swift was comet-seeking during 300

hours. I have no English results of the same kind, but my meteoric

observations will supply a means of comparison. From June to November,

1887 (six months), I was observing during 217 hours, and for a nearly

similar period during the last half of 1877, though in each year work

was only attempted with the Moon absent. My result for 1887 averages

36 hours per month, which is little less than the average derived

from the comet-seeking records above quoted. It is therefore fair to

suppose that as much may be done here as in some regions of the United

States. Mr. W. R. Brooks wrote me in 1889, saying: “We have much cloudy

weather in this part of America. While in other portions of the country

clear weather abounds, it is not so in this section, where much of

my work has been done. This is a most fertile section—the beautiful

lake region of N.Y.,—but it is for this reason a cloudy belt. It is

far different in Colorado and California. In the latter place, at the

Lick Observatory, I hear they have 300 clear nights in the year—a

paradise for the astronomical observer! My former site, the Red House

Observatory, Phelps, N.Y., is only six miles from Geneva, and hence

in the same cloudy region.” Prof. Swift also referred to the subject

of weather in a letter to me dated July 30, 1889, where he says: “I

arrived home, after a five weeks’ visit to the Lick Observatory, on

March 1, and have not had half a dozen first-class nights since—not

in thirty years have I seen such prolonged rainy and cloudy weather.”

Now Mr. Brooks has discovered 13 comets in 7 years, Prof. Swift has

found 8 comets (1862-1890), and in addition to these has detected

more than 700 new nebulæ, all of the latter since 1883. From this it

appears conclusively that if such extensive and valuable results can

be obtained, notwithstanding frequently bad weather, then English

observers may prove equally successful, the important factor being that

similar energy and ability direct their labours.

_Aperture and Power required._—Opinions are divided as to the most

suitable aperture and power for this work. Any telescope of from

4-to 10-inches aperture may be employed in it. A low power (30 to

50) and large field (50′ to 90′) eyepiece are imperative; and the

instrument, to be really effective, should be mounted to facilitate

sweeping either in a vertical or horizontal direction. A reflector on

an alt-azimuth stand is a most convenient form for vertical sweeps.

The defining-capacity of the telescope need not necessarily be perfect

to be thoroughly serviceable, the purpose being to distinguish faint

nebulous bodies, and not details of form. Far more will depend upon

the observer’s aptitude and persistency than upon his instrumental

means, which ought to be regarded as a mere adjunct to his powers

and not a controlling influence in success, for the latter lies in

himself. Very large instruments are not often used, because of their

necessarily restricted fields. Moreover, a small instrument, apart

from its advantage in this respect, is worked with greater facility

and expedition. This is important, especially when the observer is

to examine the region in the immediate neighbourhood of the Sun. He

has then a very brief interval for the attainment of his purpose,

and a small telescope must be used on account of its large field,

its ready manipulation, and its general effectiveness on objects at

low altitudes. The case is somewhat different when the search is to

be conducted in regions far removed from the Sun’s place; for here

the comets are in general faint, and there is time for the work to

be deliberately and critically performed. Large instruments are to

be recommended for these districts as capable of revealing fainter

objects, though they are troublesome in several respects. They show

large numbers of nebulæ, especially if the observer is exploring the

region of Virgo, Coma Berenices, or Ursa Major; and he will have great

difficulty in identifying them and in feeling his way with certainty.

These complications are inseparable from the work, and, though

chiefly affecting large apertures, should not always be shunned; for

a telescope capable of displaying very faint nebulæ is also capable

of showing faint comets. Many comets have eluded discovery by the

inadequate reach of the instruments in the hands of comet-seekers;

and the statement recently made that there are only about one hundred

nebulæ liable to be mistaken for comets is not accurate, because comets

in certain positions are of the last degree of faintness, and there is

no identifying them from small nebulæ except by means of their motion.

Mr. Brooks says:—“Medium magnifying powers, with necessarily

moderate-sized fields, are better than very low powers and large

fields. While with the latter a large amount of the sky can be swept

over in a given time, the work is not so well done, and a faint comet

would be easily swept over and not seen. A small region, _thoroughly

worked_, is far more likely to be successful. This gives a feeling of

satisfaction with the work performed, even with negative results. In

support of this I may remark that, during all the years I have engaged

in comet-seeking, not a single comet has been discovered by another

astronomer in a region of the heavens that I had just previously

searched; so that I have never had occasion to feel that I had swept

over a comet and missed seeing it. Aside from the obvious requirement

of good eyesight, capable of detecting exceedingly faint objects,

a good telescope of at least moderate aperture, and a familiarity

attained by experience with the large number of nebulæ resembling

telescopic comets, the comet-seeker, to be successful, must possess

in a high degree the qualities of patience, perseverance, energy, and

enthusiasm. I have the highest admiration for the man or woman who

discovers a comet, because I know of the hard and thorough work which

the success implies.”

Mr. Brooks’s experience and success in this branch give weight to

his suggestions, and there can be little doubt that his commendation

of moderate powers is fully justified. I believe he usually sweeps

with a power of 40 (field of 1° 20′) on the 10-1/8-inch equatoreal

of his observatory. Speaking for myself, I find powers of 32 (field

1-1/4°) and 40 (field 1°) perform very satisfactorily on my 10-inch

With-Browning reflector, having frequently tried them on faint

nebulæ and comets. Sometimes I employ a power of 60, field 50′; but

for ordinary purposes this is too high. It is a good plan to sweep

with a moderate power, say of 40, and to keep a higher magnifier at

hand to examine any suspicious objects that may be picked up. With

power 32 I often encounter forms, the real character of which is

uncertain. In such cases I clamp the telescope and apply the power

60, which generally exhibits the objects as several minute stars

grouped together, or possibly nebulæ, in which case I proceed to

identify them. With lower magnifiers than 30 there must always be

considerable danger of sweeping over faint comets. Some of these are

only of the 10th, 11th, or 12th mag., and less than 1′ diameter, and

must certainly elude detection unless adequate power is brought to

bear upon them. Dr. Doberck mentioned in the L. A. S. Journal, vol.

vi. p. 236, an instrument for comet-seeking, 3½ inches in aperture,

power about 10, and field of 5°, which was bought in 1842 by the late

Mr. Cooper at Markree. But though with such a telescope a very large

portion of the firmament might be swept in one night, there would be

serious disadvantages; for small faint comets would pass through the

field unseen, and render the work abortive. The necessary conditions

of the case go far to support the view that moderate powers and

fields are best; for a search, to be thorough and satisfactory, must

be done critically, and with a power capable of revealing the smallest

specimens of comets.

_Annual Rate of Discovery._—Arranging cometary discoveries during the

century from 1782 to 1881 into periods of 20 years, and comparing

the annual average with that during the last eight years, we get the

following numbers:—

Comets Annual

Period. found. average.

1782-1801 25 1·25

1802-1821 26 1·30

1822-1841 36 1·80

1842-1861 83 4·15

1862-1881 79 3·95

1882-1889 40 5·00

These discoveries seem to have been greatly accelerated about the year

1845. The yearly average between 1842 and 1881 was about 4; but between

1882 and 1889 it increased to 5, owing mainly to the diligence of

Barnard and Brooks.

The months in which the largest number of cometary discoveries have

been effected are July and August, the figures since 1782 being—

Comets

Month. found. Percentage.

January 22 7·6

February 20 6·9

March 18 6·2

April 25 8·7

May 17 5·9

June 21 7·3

July 34 11·8

August 38 13·2

September 22 7·6

October 20 6·9

November 26 9·0

December 26 9·0

Of 289 comets discovered during the last 108 years, 123 belonged to

the first six months, while no less than 166 belonged to the last half

of the year.

Though comets are not confined to any special region of the heavens,

there is no doubt that the vicinity of the Sun is the spot to which

the comet-seeker should direct his chief attention. It is here where

the majority of the discoveries have been made; and theoretically this

should be so, seeing that the Sun is the controlling influence of the

cometary flights, and that his position must be regarded as a sort of

focus of their convergence and divergence. Hence the most likely spots

are over the western horizon after sunset and the eastern horizon

before sunrise. The twilight and zodiacal light, together with the

mist at low altitudes, are impediments which are inseparable from this

work; but they need not interfere to any serious extent if the observer

is careful to make the best of his opportunities. But though special

attention is recommended to the neighbourhood of the Sun, other regions

should not be altogether neglected, for comets are occasionally found

in nearly the opposite part of the heavens to the Sun’s place, as, for

example, Zona’s Comet of November 1890. In order to save time, and to

prevent troublesome references during the progress of sweeping, the

brighter nebulæ should be marked upon a star-chart, so that, as they

enter the field, they may be instantly identified.

_Telescopic Comets_ vary in size to a considerable degree. In diameter

they generally range from about 1′ to 7′, and are usually round, with

a bright centre like the globular clusters Messier 2, 3, 13, 15, 49,

and 92, as seen with a low power; but occasionally they are faint

diffused masses, like the planetary nebula near β Ursæ Majoris, M. 97,

or the large nebula S. of ξ Cassiopeiæ, in the New General Catalogue,

No. 185, R.A. 0^h 33^m, Dec. 47° 44′ N. In brightness they range

from being visible to the naked eye to objects of the last degree of

faintness. They average some 2′ or 3′ diameter, but are sometimes less

than 1′; so that the power of the sweeper should be capable of readily

showing an object of this size as it passes through the field. The

observer should turn his instrument upon the small planetary nebula

N.G.C. 1501, R.A. 3^h 57^m, Dec. 60° 37′ N. in Camelopardus. It is

about 1′ diameter. He should also pick up N.G.C. 6654, R.A. 18^h 27^m,

Dec. 73° 6′ N., which is a star of about 12½ mag. involved in a pretty

conspicuous nebulosity. Swift describes the latter as looking just

like a comet. N.G.C. 6217, R.A. 16^h 38^m, Dec. 78° 25′ N., is also a

small nebulosity which might easily be overlooked with a low power.

Let the observer examine the three objects named, and he will gather

a good idea of a small telescopic comet, especially from N.G.C. 6654,

which may be readily found, as it is in the same field as χ Draconis,

and visible at any time of the year and night. N.G.C. 6643, R.A. 18^h

23^m, Dec. 74° 32′ N., is near the latter, but it is a brighter object.

The observer will find two tolerably plain nebulæ in the same field at

about R.A. 6^h 52^m, Dec. 85° 56′; so that they are only 4° from the

pole. They are N.G.C. 2276 and 2300. These objects ought not to elude

detection in any instrument properly adapted for comet-seeking.

_Ascertaining Positions._—No observer should be without the means

of determining exact positions. A ring-micrometer and comprehensive

star-catalogues are most important accessories of the amateur. When a

suspicious object is found its precise position should be instantly

measured; but if no micrometer is at hand, the observer should

carefully note the place relatively to adjoining stars, and then,

after a short interval, re-observe it for traces of motion. In these

comparisons the low-power eyepiece should be exchanged for one of

greater amplification, because this will render a slight motion more

readily sensible. If the suspicious object proves to be a comet, the

extent and direction of its daily motion should be computed from the

change in the observed places, and the information telegraphed to the

Royal Observatory, Greenwich. A statement should also be given as to

the diameter and brightness of the object; we may then be satisfied

that it will be readily picked up at some of the many stations where

prompt attention is given to this class of observation. Amateurs who do

not attempt to obtain exact positions are sometimes condemned for their

negligence in this respect, and most unjustly so. By far the hardest

part of the work falls to them, and professional astronomers ought to

be indebted to amateurs for leaving to their care an important feature

of these observations. If the latter are to undertake the labour of

measuring as well as discovering comets, then there will be nothing

left in this line for the elaborate instruments of observatories to do.

Yet, while thus objecting to amateurs, with their generally incomplete

and inefficient appliances, being expected to perform the work both

of discovery and exact observation, it cannot be denied that there is

a great necessity for them to have the means of measurement, and to

utilize them during the first few observations, which are usually made

before the comet has been seen elsewhere, and will therefore possess

great value if precise.

_Dr. Doberck’s Hints._—Dr. Doberck has given some useful hints in

connection with this subject:—“In order to be as sure as possible of

ultimate success it is not enough to sweep with the instrument and

watch any suspicious object for proper motion. It is better to procure

a large map such as Argelander’s, and, comparing the image seen in

the comet-seeker with the map, to insert all the nebulous objects

according as they are discovered. At the end of the watch they are

then compared with the catalogues of nebulæ and clusters of stars. A

general catalogue facilitates this, but is never quite sufficient, as

there seems to be no limit to the number of objects in the sky, and

more are constantly being catalogued. In the course of time an observer

learns to remember the objects he has seen before in the seeker, and

at last he need not consult the map at all. The subsequent observation

of a newly-found comet is best made with the ring-micrometer if the

telescope is not equatoreally mounted. In the latter case it should be

made by aid of a steel-bar micrometer. As soon as three observations

are available the first approximation to a parabolic orbit can

generally be determined: the calculation of which is quite elementary,

and would be enjoyed by many amateur astronomers who are fond of

figures and would easily get used to Olbers’s method. Only the three

positions must not be so near each other as to lie on a great circle.”

_Prizes for Discoveries._—The Vienna Academy of Sciences formerly gave

a gold medal to the discoverer of every new comet. These presentations

were discontinued in about 1880; and Mr. H. H. Warner then offered a

prize of $200 for every unexpected comet found in the United States

or in Canada. This prize was continued in subsequent years, and the

conditions were amended so as to include observers in Europe. Many

of these prizes were gained by Barnard and Brooks; but they have not

been re-offered during the past year or two. Mr. Warner, however,

contemplates renewing them. The Astronomical Society of the Pacific now

awards a bronze medal to all such discoverers.

FOOTNOTES:

[41] Donati’s Comet of 1858 and Coggia’s Comet of 1874 may be mentioned

as good examples of the gradual approach and development of these

visitors witnessed by means of the telescope.

[42] It ought, perhaps, in the present state of our knowledge, to be

termed “the Neptune of comets;” for it has the longest period of any

comet whose path has been definitely ascertained by multiple returns to

perihelion.

[43] Encke’s Comet has the shortest period of all the known comets.

[44] Newton conjectured that comets formed “the aliment by which suns

are sustained,” his opinion being that the former bodies finally

coalesced with the suns round which they revolved. He remarked:—“I

cannot say when the Comet of 1680 will fall into the Sun,—possibly

after five or six revolutions; but whenever that time shall arrive, the

heat of the Sun will be raised by it to such a point that our globe

will be burnt and all the animals upon it will perish.”

Telescopic Work for Starlight Evenings · 第 14 / 17 章