INSTRUMENTS AND METHODS.

In considering the work done by the expedition it is very necessary to

bear in mind the character of the instrumental outfit, if any, which

they might have possessed, and the state of the science of navigation

at the time.

When Bering and his two cartographers left St. Petersburg in February,

1725, the astronomical instrument in use by navigators was the Davis

quadrant or "backstaff," in which the sun's altitude was measured by

sighting without a telescope or tube on the shadow cast by the sun from

one projection of the instrument upon another, the observer's back of

course, being turned to the luminary. The only alternative to this was

the still older astrolabe with which the observer had to look along the

two lines of his angle at the same time, and which also depended upon

sights or spurs attached to a frame. The reflecting quadrant of Hadley

was not invented until 1731 and telescopes were not used on the

instruments of navigation until somewhat later. There were no

chronometers or reliable watches or clocks for use in dividing

intervals of time. Even after the Hadley quadrant came into use, time

was noted by a pendulum vibrating seconds, which could not be used on

ship-board.

A futile attempt had been made by means of tables of variation of the

compass to determine the longitude by comparison with observed

variation in the field. Results by this method approached the truth

accidentally, if at all. Lunar observations were the only means of

getting an approximation to the longitude except the occultations of

Jupiter's satellites, both methods being impracticable on board ship,

with the instruments then employed.

In 1731 the astronomer Halley proved[2] that at that date it was still

impossible to find the longitude correctly by the moon, the lunar

tables being so inaccurate that an error of several hundred miles was

quite possible and an accurate determination would depend upon the

respective errors of instrument, observation and the lunar tables

happening to balance one another. Halley ventured to express the hope

that the tables may be so amended that an error may scarce ever exceed

three minutes, which would correspond to a degree and a half of

longitude, amounting at the equator to a distance of a little less than

one hundred miles. Messerschmidt, who preceded Bering as an explorer of

Eastern Siberia, was according to Middendorf (Sib. Reise, iv. 1, p. 56)

thirty-two degrees out in his determination of the longitude, and the

eastward extent of Asia in this region was underrated by that amount or

thereabouts, on many maps.

[Footnote 2: Phil. Trans. 1731, No. 421.]

One other means of approximating to the meridian remained, in the

observation of eclipses. This from the comparative rarity of these

occurrences in the case of the sun and moon, could with the imperfect

instruments of those days be available but seldom. Owing to the

difficulty of determining the exact time of the first and last contacts

the longitudes computed by these observations were liable to quite as

great inaccuracy as those computed from the lunar tables. Still an

ordinary spyglass would enable an observer to note the time within a

minute or two, and, if he was possessed of the local time, a simple

comparison with the observed time of the eclipse in some locality where

the longitude was known would give a fairly good determination,

considering the instruments and methods of those days. Of the four

eclipses of the moon occurring in 1728-9 two might have been observed

without difficulty by Bering, one would have been invisible to him, and

one might barely have been noted, but in all probability was not

observed by him. In none of the published reports of the expedition is

any mention made by Bering or his officers of the occurrence or

observation of an eclipse, which seems very singular if by such an

observation he was enabled to correct an error of 30° in the longitude

of northeastern Siberia. However, Middendorf states (Sib. Reise, iv. 1,

p. 56) that "Bering and his lieutenant in the years 1728 and 1729

observed in Kamchatka[3] two eclipses of the moon," by which they

corrected the longitude. He gives no authority for this statement.

[Footnote 3: It is possible that an eclipse observed at Ilimsk in

Middle Siberia by Chirikoff is thus erroneously referred to.]

Euler, who had access to the archives of the Admiralty College, while

engaged on a Geography of Russia, mentions (Philos. Trans., No. 482, p.

421) that he was informed that Bering observed an eclipse "at

Kamchatka." This letter of Euler's is copied by Campbell in Harris'

Voyages (vol. II, Book III, p. 1024) and the expression "at Kamchatka"

has led to the statement that these observations were made at the fort

or village of Lower Kamchatka. This is an error since Bering gives no

longitude for the fort in his table of geographical positions. It must

be remembered that the name Kamchatka at that period was applied not

merely to the peninsula as at present, but also to the whole region of

northeastern Siberia, the governor of Kamchatka being located at

Okhotsk. So to come within the probable meaning of the phrases used by

Middendorf and Euler it is only necessary to suppose that the

observations were made somewhere in that region. Lauridsen (Danish

edition, note 34, p. 186) refers to a paper of Struve (Bull.

phys.-math. Acad. St. Petersb., I, 1842, p. 290) containing a table of

geographical positions in Russia, in connection with these alleged

observations of Bering. An examination of Struve's paper does not bear

out the implication of Lauridsen's reference, as Struve not only makes

no mention whatever of Bering's observations there but specifically

states that the first observations of precision made in this part of

Siberia were those of Krassilnikoff who accompanied Bering's second

expedition in 1741. It would seem extraordinary that a determination so

important for geography as that of Bering and his companion should be

unknown to so distinguished an astronomer as Struve who must have had

access to all the archives of the early explorations by Russia. But it

may be perhaps accounted for by the facts that Bering's observations

were necessarily of a very rough and primitive character--as it is

certain he had no instruments of precision; and that, for that reason,

they were not received with entire confidence; so that Struve may have

considered them insufficiently exact to be included with those of

Krassilnikoff and others made with more modern appliances.

From the note in regard to the eclipses which is kindly contributed by

Mr. Marcus Baker and from the other circumstances, it is evident that

if Bering and his party made the observations alluded to, the eclipses

noted were the partial eclipse of Feb. 25 (local calendar), 1728, of

which he might have observed the last contact, or the total eclipse of

Feb. 14, 1729, of which he might have observed the first contact and

the totality. At the time of the last eclipse he was at Lower Kamchatka

post, and as, in the list of positions handed in with his Report in

1730, no longitude is entered for this locality, it would seem that

choice is reduced to the first of the two mentioned; which occurred

when Bering was either at Bolsheretsk or on his way from that place to

Lower Kamchatka, which he reached about a month later. Campbell's table

of positions is credited by him to the year 1728, but my own opinion is

that it was really derived (with various errors, interpolations, etc.)

from Bering's table of 1730.

The ordinary method of getting the longitude of a place, and that upon

which Bering originally depended, as his itinerary table shows, was by

a continuous record of the distances and directions traveled from a

point of known longitude. This record would afford the data from which

the distance on a mean parallel, by means of a traverse table, could be

computed. Laborious, imperfect, and slow as it was, it was the only

sure reliance of the traveler in those days. Whether Bering observed an

eclipse or not, it is certain that his original dependence was upon his

itinerary, that his report was based upon that and that this part of

his work was done as well as the nature of the method would permit. His

silence about the eclipse may be due to the fact that he depended not

upon astronomical but upon pedometric observations, to which the

eclipse may have afforded some corrections. At any rate the pedometric

determination of the distance between Tobolsk and Okhotsk or the

peninsula of Kamchatka was in itself a tremendous undertaking.

I find by a rough calculation from Bering's data that the longitude

resulting from his itinerary from Tobolsk to Okhotsk is 77° 36' E. The

distance in a straight line is about 2,390 miles, but by the route

Bering traveled the distance is a little more than 3,746 miles. The

longitude in Bering's List of Positions is 76° 07', which differs from

the pedometric measurement by 1° 29' (or about 45 miles). On Bering's

map, Okhotsk is located in longitude 74° 30' E. of Tobolsk, while the

most modern observations for Okhotsk put it in 142° 40' E. of Greenwich

or 75° 40' E. of Tobolsk. So that Bering's pedometric measurement was

nearly 60 miles in excess; his revised table (as corrected by the

eclipse?) 27 miles in excess; and his map about 30 miles in error in

the opposite direction. These discrepancies show the inexactness of the

methods then in vogue and also that the pedometric method was not very

much worse than the others in its results. Although there are several

typographic or other errors in his table of itinerary which render

exact comparisons impossible, it may be said that the error of the

pedometric method, including the passage by sea from Okhotsk to

Kamchatka, averages about two degrees or sixty geographical miles. In

the cases of Okhotsk and Bolsheretsk the error is one of excess; in the

case of the cape at the mouth of the Kamchatka river and of the turning

point of the expedition north of Bering Strait, the result is too small

by about the same amount.

That his chart and his revised list of positions should differ as they

do, is quite as likely the result of the careless way in which the

minutiæ of such work were generally regarded at that day, as to any

difference of date, or of intentional modification.

To conclude our review of the instrumental means and methods then in

use, it may be said that the compasses in use at that day were

comparatively roughly made and more or less inaccurate. The variation

was determined in a given latitude by the azimuth of the Polestar or

the sun at setting observed by means of sights attached to the rim of

the compass, which was a method accurate enough for the general

purposes of navigation. The distance run was measured on shipboard by

the log which was in about the same form and perfection as at present,

being a very ancient invention.

The survey of a general coast-line was made by compass bearings on

prominent points, repeated from successive stations, the distances of

the ship's course being determined by the log and the courses by

compass, with corrections for current and the variation. The lines thus

obtained were checked by latitude observations made with Davis'

backstaff when the weather permitted.

Apart from any of the methods mentioned it seems to have been

overlooked that Bering might have corrected the longitudes of the N.E.

Siberian coast by the ordinary dead reckoning kept on board his vessel,

provided he started by adopting the longitude for the southern part of

Kamchatka peninsula which was in common use on many of the charts of

his day. Though it is true that the maps of that part of Siberia north

and northeast from the Okhotsk sea were many degrees in error in the

longitude, this observation does not hold good in regard to the

southern end of Kamchatka. The work of the Jesuit fathers in China had

already determined fairly well the position of China and Korea, while

rude outlines of the northern islands of Japan, Sakhalin, the Kuriles

and the south end of Kamchatka, were added to these on maps of Asia.

The outlines are often very incorrect but it is quite evident what is

intended. In nearly all early maps of this region which I have been

able to consult, as for instance those of N. de Witt, I have found the

south end of Kamchatka in approximately correct longitude. For

instance, in the Novissimae Ephemerides of Manfredio, published at Bonn

the same year that Bering left St. Petersburg, and which might well

have been sent to him before he sailed, we find two charts of the paths

of solar eclipses (Plates ii and iii). On these charts the meridian of

180° from Ferro passes across what is unmistakably the south end of

Kamchatka, though northeastern Siberia remains a blank. This would be a

sufficient starting point and is quite as correct as Bering's

determinations; in fact is within a few miles of the modern longitudes

for the same part of the peninsula. Dead reckoning along the shores of

the peninsula, corrected by latitude observations, would have done all

that was necessary to correct the meridian without observing any lunar

eclipse, provided the surveyor started with such an assumption as

Manfredio's or De Witt's charts supply.

The National Geographic Magazine, Vol. II., No. 2, May, 1890 · 第 10 / 22 题