[Abbreviations in col. 9:—β., Burnham; T., Tarrant; S., Schiaparelli; L., Leavenworth; E., Engelmann; P., Perrotin; Hσ., H. Struve; M., Maw.]

No.Name of Star.Posit;­ion, 1890.Mags.Position-
Angle
Distance.Epoch.Ob­ser­ver.
R.A.Dec.
hm°o
1.δ Equulei219·1+9344½ 5189·90·251887·7β.
Most rapid binary known. Period 11½ years(Wrublewsky). Disc. 1852 by O. Struve.
2.Piazzi 109151·0+1207 7206·30·281888·1S.
An excessively close and difficult object.Binary.
3.β Delphini2032·4+14133½ 5½310·10·291888·6β.
A rapid binary. Period 26 years (Doubjago).
4.γ2 Andromedæ157·1+41485 6277·60·351884·8L.
Distance in Oct. 1889 less than 0″·1, and verydifficult with 36-inch (Burnham).
5.γ Coronæ Bor.1538·1+26394 7126·60·381887·5S.
A close binary. Period 95½ years (Doberck).Colours greenish-white and purple.
6.55 Tauri413·6+16166½ 876·40·431887·6S.
A binary. Difficult object with a 10-inch.
7.λ Cassiopeiæ025·7+53556½ 6½146·90·451887·3T.
Another close binary. Distance of componentsshows little change.
8.ζ Boötis1435·9+14124 4293·40·511887·5S.
A binary pair, of equal mags. Period 127years (Doberck).
9.42 Comæ Bor.134·7+1875½ 6189·60·551889·1L.
A close binary, of short period; about 25-3/4years. Disc, in 1827 by O. Struve.
10.λ Cygni2043·1+3685 7½70·60·631888·8Hσ.
A binary. The distance between the componentsis increasing.
11.ζ Coronæ Bor.1518·7+30415½ 6178·50·631886·5T.
A well-known binary, of short period; 41½years (Doberck).
12.ω Leonis922·6+9325½ 796·80·701889·1L.
A close pair, but not difficult. Binary.Period 114½ years (Doberck).
13.15 Lyncis647·8+58345 65·90·771890·3M.
A probable binary, the position and distanceexhibiting a gradual increase.
14.ι Orionis51·9+8215½ 7193·90·991889·0L.
Triple. A low power shows many stars here.
15.ζ Cancri, A.B.85·9+1805 640·31·051889·2L.
A triple star. A.C. Pos. 134°·4; Dist. 5″·36;Mag. 7; 1878·3 (Hall).
16.ν Scorpii, A.B.165·6-19104 79·31·081886·5T.
A quadruple star, forming one of the finestsystems in the sky.
17.π Cephei234·4+74475 7½32·51·161888·7Hσ.
Binary. Becoming more difficult with decreaseof distance. Yellow and purple.
18.ε Arietis252·9+20545½ 6202·21·281889·7L.
Distance increasing. Good dividing-test fora 4-inch aperture (T.).
19.λ Ophiuchi1625·4+2134½ 5½42·61·551888·4L.
Binary, but period not yet ascertained withaccuracy. Yellow and bluish.
20.ζ Herculis1637·1+31483 6½65·81·681890·7M.
A fine, rather close binary. Period 34½ years(Doberck). Single in 1865. Yellow and red.
21.ξ Ursæ Maj.1112·3+3294 5222·71·631889·3S.
One of the first-computed binaries. Period63 years (Breen). Excellent object.
22.δ Cygni1941·5+44523 8317·71·661885·5T.
A well-known binary. Period 376·7 years(Gore). Test for 4½-inch. Pale yellow and sea-green.
23.33 Orionis525·5+3125 632·81·811887·1T.
Just visible in a 3-inch. White and paleblue.
24.θ Aurigæ, A.B.552·2+37123 82·51·981885·1T.
A similar pair to δ Cygni, though the distanceis wider.
25.70 Ophiuchi180·0+2324 6348·72·161889·3β.
Binary. Period nearly 88 years (Gore). Goodobject for a 3-inch. Yellow and purple.
26.ι Leonis1118·2+1184½ 7½62·02·561889·2L.
Binary; but distance shows little variationsince 1839. Yellowish and blue.
27.ε Boötis1440·2+27323 5½328·12·881885·4T.
A very interesting object, and visible in asmall instrument.
28.α Scorpii1622·7-26111 8271·72·921880·0β.
This pair forms an atmospheric rather thanan optical test.
29.γ Ceti237·6+2463 7289·72·941883·9P.
A binary system. Test for a 2½-inch. Yellowand blue.
30.α Piscium156·3+2145 6321·93·031886·9T.
A probable binary, but since 1831 not muchchange in position or distance.
31.ζ Aquarii2223·1-0354 4325·83·081889·9L.
A fine binary, with very long period. 1625years (Doberck).
32.ε1 Lyræ1840·7+39344½ 6½15·33·241877·4Doberck
33.ε2 Lyræ1840·7+39305 5137·62·451877·4Hall.
{These stars form a wide double (distance3′ 27″), just separable by the naked eye. A 2½-inch shows a fine double-double.A 4-inch reveals three faint stare between.
34.ε Hydræ841·0+6494 7226·53·161889·1β.
A new comes, Pos. 154°·4; Dist. 0″·26; Mag.6, 1889; 36-inch, power 3300! β.
35.γ Leonis, A.B.1013·9+20242 4114·63·511889·3β.
A fine binary. Period 407 years (Doberck).Readily seen in a 3-inch.
36.δ Serpentis1529·6+10553 5189·93·521886·6Ball.
Probably binary. Fine object in small instruments.
37.α Canis Maj.640·3616341 10359·74·191890·3β.
Brilliant binary. Period 58·5 years (Gore).Colours white and yellow.
38.α Herculis179·6+14313 4½114·54·581885·5T.
A splendid object. Orange and bluish green.
39.ζ Cassiopeiæ042·4+57144 8184·74·761888·3M.
Binary. Period 195 years (Gruber). Difficultobject for 2-1/4-inch (Johnson).
40.γ Virginis1236·1-0513 3153·95·451889·3L.
Well-known binary. Period 182 years (J.Herschel). Single in 1836.
41.α Geminorum727·6+3282 3229·45·681889·2L.
Very fine object. Binary; Period doubtful(Mädler 232 years, Doberck 1001 years).
42.π Boötis1435·6+16544 6104·36·041885·4T.
This pair has exhibited little change in pos.or dist. since 1781.
43.α2 Capricorni, A.B.2011·9-12533 15149·76·301879·7β.
Good light-test for 6-inches. Companiondouble; pos. 240°, dist. 1′·5.
44.δ Geminorum713·5+22113½ 9207·26·981886·1T.
Rather wide pair of unequal mags. Difficultwith small apertures.
45.γ Arietis147·5+18454½ 5178·38·781886·9T.
A fine, easy object. Discovered in 1664 byHooke.
46.ι Ursæ Maj.851·7+48283 12356·79·561883·4E.
Well seen in a 4-inch, powers 80 and 130.Good light-test.
47.β Orionis59·3-8201 9202·09·611887·2T.
A fine object for small instruments. Visiblein a 2-inch refractor.
48.γ1 Andromedæ157·1+41483 662·610·501876·0Hall.
A splendid pair, stationary in relativepositions (see no. 4).
49.γ Delphini2041·6+15444 6271·211·351879·7Hall.
Estimates of the colour of this pair differ, andchange is inferred.
50.σ Orionis, A.D.533·2-2404 10½236·811·621875·2
Multiple. Fine group here. Schröter saw 12stars, Struve 18.
51.β Scorpii1559·0-19302 5½26·712·721879·7β.
The brighter star is a close double; Pos. 87°,Dist. 0″·73 (Burnham).
52.ζ Ursæ Maj.1319·5+55302 4150·514·381886·2T.
Fine object for small instruments. Otherstars in the field.
53.α Centauri1432·1-60231 2202·917·121888·6S.
A fine southern binary with Period of 80·3years (Elkin).
54.α Ursæ Min.118·5+88432 9210·118·60
Good test for a 2-inch. Dawes saw it with1-3/10-inch, Ward with 1-1/4 inch.
55.61 Cygni212·0+38125 6121·020·581887·7S.
Probably a binary of long period (782½ years,Peters; 1159 years, Mann).
56.33 Arietis234·3+26355 80·329·761879·7β.
A distant and easy pair in small instruments.
57.β Cygni1926·3+27443 755·134·321879·7β.
A beautiful pair, colours golden yellow andsmalt blue.
58.β Geminorum738·6+28182 14274·943·001877·9β.
Disc. by Burnham, who also finds the companiondouble; dist. 1″·4 (1879·2).
59.α´ Capricorni2011·9-1253 219·744·551879·7β.
α1 and α2 Capricorni (No. 43) form a naked-eyedouble; Pos. 291°, Dist. 373″·4.
60.α Canis Min.733·6+5301 14317·344·621877·9β.
Difficult object; just seen steadily by Daweswith 8-1/4-inch refractor.
61.β Lyræ, A.B.1846·0+33143 7148·945·201886·9T.
There are three other faint and distant components.
62.α Lyræ1833·2+38411 11156·148·001879·7β.
Good light-test for a 3-inch. There are othermore distant companions.
63.α Cassiopeiæ034·3+55562 13½280·261·331879·7β.
The 36-inch refractor shows a very faint comes;Dist. 17″·5 (Burnham).
64.α Canis Maj.,640·3-16341 13114·971·391877·5Hall.
This faint and distant companion to SiriusA.C. was disc. by Marth.
65.α Andromedæ02·7+28292 11271·671·601878·6G.
A wide double, visible in a 3-inch, but comesvery faint.
66.α Tauri429·6+16171 1234·1114·961879·7β.
Good light-test for a 3-inch. Very faint comesPos. 109°; Dis. 30″·4 (Burnham).

The determination of the angles of position and distance of double stars forms a very important and extensive branch of work in connection with sidereal astronomy. In cases where double stars preserve stationary places relatively to each other, there is clearly no need for frequent re-observation. But in those numerous instances where the two components form a binary system it is desirable to obtain as many measures as possible, so as either to verify the calculated orbit or to furnish the materials for an orbit if one has not been computed before. Dr. Doberck, whose name is well known in these researches, mentioned, in 1882, that ample data for purposes of computation had not been secured for more than thirty or forty binaries out of between five and six hundred such systems that were probably known to exist. Sir W. Herschel, in 1803, estimated the period of revolution of α Geminorum as 342 yrs. 2 mths. and of γ Virginis as 1200 yrs. Orbits[57] do not appear, however, to have been computed until 1827, when Savery of Paris showed that the companion of ξ Ursæ Majoris was revolving in an ellipse with a period of 58-1/4 years. The accomplished Encke also turned his attention to this work, and adopted a more elaborate method; and many others have pursued the subject with very interesting and valuable results. On pp. 302-305 is a selected list of some of the most noteworthy double and binary stars, arranged according to the distance between the components.

In compiling the above list, I have used some of the latest measures available, as most of these doubles are binary systems, and therefore in motion, so that a few years effect a perceptible difference in the angles of position and distance of the components. Some of the pairs are closing up, others are opening, and thus it happens that a binary star, divided with great difficulty to-day, may become an easy object some years hence, and vice versâ. In fact, as telescopic tests they are constantly varying.

Before leaving this part of the subject it may be interesting to refer individually to a few brilliant examples of double stars.

α Canis Majoris (Sirius). A red star according to ancient records, but it is now intensely white. In 1844 Bessel inferred from certain little irregularities in the proper motion of this star that it consisted of a binary system with a period of about half a century[58]. Peters confirmed this idea in 1851, and it was observationally verified eleven years afterwards. On Jan. 31, 1862, Alvan Clark, jun., while testing a new 18½-inch refractor, discovered a very faint companion 10″ distant. Measures in the few subsequent years proved that the position-angle was decreasing, while the distance showed a slight extension. In 1872 it was about 11″·50, but since then the two stars have been approaching each other, and Mr. Burnham’s measures in April 1890 gave the distance as only 4″·19. It is now, therefore, a very difficult object, and only visible in large instruments. In England it is never easy, owing to its southern position, and it has been little observed, but it is satisfactory to note that the large refractors at Washington, Princeton, and Chicago, U.S.A., have been often employed on this object in recent years. Mann gives a period of 51·22 years for this interesting binary, and places the time of periastron-passage as 1890·55. This differs from Gore’s orbit, quoted in the table.

β Orionis (Rigel). A favourite test-object for small instruments. The companion has been seen with only 1½-inch aperture by experienced observers familiar with the object, and accustomed to its appearance in larger telescopes. The beginner may, however, esteem himself fortunate if he distinguishes the smaller star with 3 inches of aperture. When he has done this he may afterwards succeed with 2½ inches only, and quite possibly with 2 inches. He can ascertain his ability in this direction by inserting cardboard diaphragms of the diameters referred to in the dew-cap of his telescope. This object is not a binary; the component stars are fixed relatively to each other, and merely form an optical double. The colours are pale yellow and sapphire blue. Burnham thought the smaller star was elongated, as though a very close double, but the 36-inch at Mount Hamilton has disproved the idea.

α Lyræ (Vega). Another well-known object, and one upon which amateurs are constantly testing their means. The companion star is extremely faint, and small instruments would have no chance with it but for its comparatively wide distance from Vega. Were it much nearer it would be obliterated in the glare. This is a more difficult pair than that of Rigel, though certain lynx-eyed observers have glimpsed the minute star with ridiculously small apertures. It is no mean feat, however, to discern the star with a 3-inch telescope. Webb saw it more easily with a power of 80 than with 144 on a 3-7/10-inch. There are many other stars in the same field, though more distant than the companion alluded to. With power 60 on my 10-inch reflector, I counted eighteen stars in the field with Vega on Oct. 9, 1889, though the full Moon was shining at the time. Several faint stars have been alleged to exist much closer to Vega than the well-known comes; but these have resisted the great American refractors, and it may be safely assumed that they were ghosts produced by a faulty image.

α Ursæ Minoris (Polaris). This double, from its constant visibility in northern latitudes, from its unvarying brightness, and from the relatively stationary positions of the stars composing it, forms an excellent test for small instruments. But it is a comparatively easy object, and ought to be seen in a 2-inch telescope. With this aperture the primitive efforts of a young observer will probably be disappointing. If possible he should first look at the pair through a 3-or 4-inch, and then he will know exactly what he may expect to see with inferior means. A difficult object is often readily glimpsed in a small telescope after the eye has become acquainted with it in a larger one. Experience of this kind is very requisite, and it is by thus educating the eye that observers are gradually enabled to reach objects which appeared hopelessly beyond them at their first attempts. The companion to Polaris, like that of Rigel and Vega, though situated in nearly the same line of sight is not physically related to the larger star, the contiguity of the objects being accidental. Some dubious observations have been made of comites nearer to Polaris than the one to which we have been adverting; but Burnham does not see these, and we are forced to conclude that they have no objective existence.

α Scorpii (Antares). A fiery-red star, with a rather close, faint companion. This object being in 26° of S. declination is rarely seen with advantage in places with latitudes far north. Atmospheric disturbance usually affects the image in such degree that the smaller star is merged in the contortions of the larger. This pair is, however, interesting from the circumstance that it is frequently liable to occultation by the Moon. A night on which this double star can be distinctly seen may be regarded as an exceptional one in point of definition. It appears to have been discovered nearly half a century ago by Grant and Mitchel.