CHAPTER II.

SOURCES OF OUR PRESENT KNOWLEDGE OF THE STARS.

18. In this chapter I shall give a short account of the publications in

which the most complete information on the attributes of the stars may

be obtained, with short notices of the contents and genesis of these

publications. It is, however, not my intention to give a history of

these researches. We shall consider more particularly the questions

relating to the position of the stars, their motion, magnitude, and

spectra.

19. _Place of the stars._ _Durchmusterungs._ The most complete data on

the position of the stars are obtained from the star catalogues known as

"Durchmusterungs". There are two such catalogues, which together cover

the whole sky, one--visual--performed in Bonn and called the _Bonner

Durchmusterung_ (B. D.), the other--photographic--performed in Cape _The

Cape Photographic Durchmusterung_ (C. P. D.). As the first of these

catalogues has long been--and is to some extent even now--our principal

source for the study of the sky and is moreover the first enterprise of

this kind, I shall give a somewhat detailed account of its origin and

contents, as related by ARGELANDER in the introduction to the B. D.

B. D. was planned and performed by the Swedish-Finn ARGELANDER (born in

Memel 1799). A scholar of BESSEL he was first called as director in Åbo,

then in Hälsingfors, and from there went in 1836 to Bonn, where in the

years 1852 to 1856 he performed this great _Durchmusterung_. As

instrument he used a FRAUENHOFER comet-seeker with an aperture of 76 mm,

a focal length of 650 mm, and 10 times magnifying power. The field of

sight had an extension of 6°.

In the focus of the objective was a semicircular piece of thin glass,

with the edge (= the diameter of the semicircle) parallel to the circle

of declination. This edge was sharply ground, so that it formed a

narrow dark line perceptible at star illumination. Perpendicular to this

diameter (the "hour-line") were 10 lines, at each side of a middle line,

drawn at a distance of 7'. These lines were drawn with black oil colour

on the glass.

The observations are performed by the observer A and his assistant B. A

is in a dark room, lies on a chair having the eye at the ocular and can

easily look over 2° in declination. The assistant sits in the room

below, separated by a board floor, at the _Thiede_ clock.

From the beginning of the observations the declination circle is fixed

at a certain declination (whole degrees). All stars passing the field at

a distance smaller than one degree from the middle line are observed.

Hence the name "Durchmusterung". When a star passes the "hour line" the

magnitude is called out by A, and noted by B together with the time of

the clock. Simultaneously the declination is noted by A in the darkness.

On some occasions 30 stars may be observed in a minute.

The first observation was made on Febr. 25, 1852, the last on March 27,

1859. In all there were 625 observation nights with 1841 "zones". The

total number of stars was 324198.

The catalogue was published by ARGELANDER in three parts in the years

1859, 1861 and 1862[7] and embraces all stars between the pole and 2°

south of the equator brighter than 9m.5, according to the scale of

ARGELANDER (his aim was to register all stars up to the 9th magnitude).

To this scale we return later. The catalogue is arranged in accordance

with the declination-degrees, and for each degree according to the right

ascension. Quotations from B. D. have the form B. D. 23°.174, which

signifies: Zone +23°, star No. 174.

ARGELANDER's work was continued for stars between [delta] = -2° and

[delta] = -23° by SCHÖNFELD, according to much the same plan, but with a

larger instrument (aperture 159 mm, focal length 1930 mm, magnifying

power 26 times). The observations were made in the years 1876 to 1881

and include 133659 stars.[8]

The positions in B. D. are given in tenths of a second in right

ascension and in tenths of a minute in declination.

20. _The Cape Photographic Durchmusterung_[9] (C. P. D.). This embraces

the whole southern sky from -18° to the south pole. Planned by GILL, the

photographs were taken at the Cape Observatory with a DALLMEYER lens

with 15 cm. aperture and a focal-length of 135 cm. Plates of 30 × 30 cm.

give the coordinates for a surface of 5 × 5 square degrees. The

photographs were taken in the years 1885 to 1890. The measurements of

the plates were made by KAPTEYN in Groningen with a "parallactic"

measuring-apparatus specially constructed for this purpose, which

permits of the direct obtaining of the right ascension and the

declination of the stars. The measurements were made in the years 1886

to 1898. The catalogue was published in three parts in the years 1896 to

1900.

The positions have the same accuracy as in B. D. The whole number of

stars is 454875. KAPTEYN considers the catalogue complete to at least

the magnitude 9m.2.

In the two great catalogues B. D. and C. P. D. we have all stars

registered down to the magnitude 9.0 (visually) and a good way below

this limit. Probably as far as to 10m.

A third great Durchmusterung has for some time been in preparation at

Cordoba in Argentina.[10] It continues the southern zones of SCHÖNFELD

and is for the present completed up to 62° southern declination.

All these Durchmusterungs are ultimately based on star catalogues of

smaller extent and of great precision. Of these catalogues we shall not

here speak (Compare, however, §23).

A great "Durchmusterung", that will include all stars to the 11th

magnitude, has for the last thirty years been in progress at different

observatories proposed by the congress in Paris, 1888. The observations

proceed very irregularly, and there is little prospect of getting the

work finished in an appreciable time.

21. _Star charts._ For the present we possess two great photographic

star charts, embracing the whole heaven:--The _Harvard Map_ (H. M.) and

the _FRANKLIN-ADAMS Charts_ (F. A. C.).

_The Harvard Map_, of which a copy (or more correctly two copies) on

glass has kindly been placed at the disposal of the Lund Observatory by

Mr. PICKERING, embraces all stars down to the 11th magnitude. It

consists of 55 plates, each embracing more than 900 square degrees of

the sky. The photographs were taken with a small lens of only 2.5 cms.

aperture and about 32.5 cms. focal-length. The time of exposure was one

hour. These plates have been counted at the Lund Observatory by Hans

HENIE. We return later to these counts.

The _FRANKLIN-ADAMS Charts_ were made by an amateur astronomer

FRANKLIN-ADAMS, partly at his own observatory (Mervel Hill) in England,

partly in Cape and Johannesburg, Transvaal, in the years 1905-1912. The

photographs were taken with a _Taylor_ lens with 25 cm. aperture and a

focal-length of 114 cm., which gives rather good images on a field of 15

× 15 square degrees.

The whole sky is here reproduced on, in all, 206 plates. Each plate was

exposed for 2 hours and 20 minutes and gives images of the stars down to

the 17th magnitude. The original plates are now at the observatory in

Greenwich. Some copies on paper have been made, of which the Lund

Observatory possesses one. It shows stars down to the 14th-15th

magnitudes and gives a splendid survey of the whole sky more complete,

indeed, than can be obtained, even for the north sky, by direct

observation of the heavens with any telescope at present accessible in

Sweden.

The F. A. C. have been counted by the astronomers of the Lund

Observatory, so that thus a complete count of the number of stars for

the whole heaven down to the 14th magnitude has been obtained. We shall

later have an opportunity of discussing the results of these counts.

A great star map is planned in connection with the Paris catalogue

mentioned in the preceding paragraph. This _Carte du Ciel_ (C. d. C.) is

still unfinished, but there seems to be a possibility that we shall one

day see this work carried to completion. It will embrace stars down to

the 14th magnitude and thus does not reach so far as the F. A. C., but

on the other hand is carried out on a considerably greater scale and

gives better images than F. A. C. and will therefore be of a great value

in the future, especially for the study of the proper motions of the

stars.

22. _Distance of the stars._ As the determination, from the annual

parallax, of the distances of the stars is very precarious if the

distance exceeds 5 sir. ([pi] = 0".04), it is only natural that the

catalogues of star-distances should be but few in number. The most

complete catalogues are those of BIGOURDAN in the Bulletin astronomique

XXVI (1909), of KAPTEYN and WEERSMA in the publications of Groningen Nr.

24 (1910), embracing 365 stars, and of WALKEY in the "Journal of the

British Astronomical Association XXVII" (1917), embracing 625 stars.

Through the spectroscopic method of ADAMS it will be possible to enlarge

this number considerably, so that the distance of all stars, for which

the spectrum is well known, may be determined with fair accuracy. ADAMS

has up to now published 1646 parallax stars.

23. _Proper motions._ An excellent catalogue of the proper motions of

the stars is LEWIS BOSS's "Preliminary General Catalogue of 6188 stars"

(1910) (B. P. C.). It contains the proper motions of all stars down to

the sixth magnitude (with few exceptions) and moreover some fainter

stars. The catalogue is considered by the editor only as a preliminary

to a greater catalogue, which is to embrace some 25000 stars and is now

nearly completed.

24. _Visual magnitudes._ The Harvard observatory has, under the

direction of PICKERING, made its principal aim to study the

magnitudes of the stars, and the history of this observatory is at the

same time the history of the treatment of this problem. PICKERING, in

the genuine American manner, is not satisfied with the three thirds of

the sky visible from the Harvard observatory, but has also founded a

daughter observatory in South America, at Arequipa in Peru. It is

therefore possible for him to publish catalogues embracing the whole

heaven from pole to pole. The last complete catalogue (1908) of the

magnitudes of the stars is found in the "Annals of the Harvard

Observatory T. 50" (H. 50). It contains 9110 stars and can be considered

as complete to the magnitude 6m.5. To this catalogue are generally

referred the magnitudes which have been adopted at the Observatory of

Lund, and which are treated in these lectures.

A very important, and in one respect even still more comprehensive,

catalogue of visual magnitudes is the "Potsdam General Catalogue" (P. G.

C.) by MÜLLER and KEMPF, which was published simultaneously with H. 50.

It contains the magnitude of 14199 stars and embraces all stars on the

northern hemisphere brighter than 7m.5 (according to B. D.). We have

already seen that the zero-point of H. 50 and P. G. C. is somewhat

different and that the magnitudes in P. G. C. must be increased by

-0m.16 if they are to be reduced to the Harvard scale. The difference

between the two catalogues however is due to some extent to the colour

of the stars, as has been shown by Messrs. MÜLLER and KEMPF.

25. _Photographic magnitudes._ Our knowledge of this subject is still

rather incomplete. The most comprehensive catalogue is the

"Actinometrie" by SCHWARZSCHILD (1912), containing the photographic

magnitudes of all stars in B. D. down to the magnitude 7m.5 between the

equator and a declination of +20°. In all, 3522 stars. The photographic

magnitudes are however not reduced for the zero-point (compare §6).

These is also a photometric photographic catalogue of the stars nearest

to the pole in PARKHURST's "Yerkes actinometry" (1912),[11] which

contains all stars in B. D. brighter than 7m.5 between the pole and 73°

northern declination. The total number of stars is 672.

During the last few years the astronomers of Harvard and Mount Wilson

have produced a collection of "standard photographic magnitudes" for

faint stars. These stars, which are called the _polar sequence_,[12] all

lie in the immediate neighbourhood of the pole. The list is extended

down to the 20th magnitude. Moreover similar standard photographic

magnitudes are given in H. A. 71, 85 and 101.

A discussion of the _colour-index_ (_i.e._, the difference between the

photographic and the visual magnitudes) will be found in L. M. II, 19.

When the visual magnitude and the type of spectrum are known, the

photographic magnitude may be obtained, with a generally sufficient

accuracy, by adding the colour-index according to the table 1 in §15

above.

26. _Stellar spectra._ Here too we find the Harvard Observatory to be

the leading one. The same volume of the Annals of the Harvard

Observatory (H. 50) that contains the most complete catalogue of visual

magnitudes, also gives the spectral types for all the stars there

included, _i.e._, for all stars to 6m.5. Miss CANNON, at the Harvard

Observatory, deserves the principal credit for this great work. Not

content with this result she is now publishing a still greater work

embracing more than 200000 stars. The first four volumes of this work

are now published and contain the first twelve hours of right

ascension, so that half the work is now printed.[13]

27. _Radial velocity._ In this matter, again, we find America to be the

leading nation, though, this time, it is not the Harvard or the Mount

Wilson but the Lick Observatory to which we have to give the honour. The

eminent director of this observatory, W. W. CAMPBELL, has in a high

degree developed the accuracy in the determination of radial velocities

and has moreover carried out such determinations in a large scale. The

"Bulletin" No. 229 (1913) of the Lick Observatory contains the radial

velocity of 915 stars. At the observatory of Lund, where as far as

possible card catalogues of the attributes of the stars are collected,

GYLLENBERG has made a catalogue of this kind for the radial velocities.

The total number of stars in this catalogue now amounts to 1640.[14]

28. Finally I shall briefly mention some comprehensive works on more

special questions regarding the stellar system.

On _variable stars_ there is published every year by HARTWIG in the

"Vierteljahrschrift der astronomischen Gesellschaft" a catalogue of all

known variable stars with needful information about their minima &c.

This is the completest and most reliable of such catalogues, and is

always up to date. A complete historical catalogue of the variables is

given in "Geschichte und Literatur des Lichtwechsels der bis Ende 1915

als sicher veränderlich anerkannten Sterne nebst einem Katalog der

Elemente ihres Lichtwechsels" von G. MÜLLER und E. HARTWIG. Leipzig

1918, 1920.

On _nebulae_ we have the excellent catalogues of DREYER, the "New

General Catalogue" (N. G. C.) of 1890 in the "Memoirs of the

Astronomical Society" vol. 49, the "Index catalogues" (I. C.) in the

same memoirs, vols. 51 and 59 (1895 and 1908). These catalogues contain

all together 13226 objects.

Regarding other special attributes I refer in the first place to the

important Annals of the Harvard Observatory. Other references will be

given in the following, as need arises.

FOOTNOTES:

[Footnote 7: "Bonner Sternverzeichnis" in den Astronomischen

Beobachtungen auf der Sternwarte zu Bonn, Dritter bis Fünfter Band. Bonn

1859-62.]

[Footnote 8: "Bonner Durchmusterung", Vierte Sektion. Achter Band der

Astronomischen Beobachtungen zu Bonn, 1886.]

[Footnote 9: "The Cape Photographic Durchmusterung" by DAVID GILL and J.

C. KAPTEYN, Annals of the Cape Observatory, vol. III-V (1896-1900).]

[Footnote 10: "Cordoba Durchmusterung" by J. THOME. Results of the

National Argentine Observatory, vol. 16, 17, 18, 21 (1894-1914).]

[Footnote 11: Aph. J., vol. 36.]

[Footnote 12: H. A., vol. 71.]

[Footnote 13: H. A., vol. 91, 92, 93, 94.]

[Footnote 14: A catalogue of radial velocities has this year been

published by J. VOUTE, embracing 2071 stars. "First catalogue of radial

velocities", by J. VOUTE. Weltevreden, 1920.]

Lectures on Stellar Statistics · 第 2 / 3 章