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98 26 18.9 111 56 38.4

72 59 35.3

130

11 8 34.6 112 15 23.0
89 9 29.8 135 20 6.5
167 31 16.1 177 48 23.0
11 52.5 47 19 38.5 348 21 5.0 1856. Jan.

1801. Jan.

1.0, G.

Do.

Do.

1.0, B.

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Note.-The elements of the orbits of Mercury, Venus, the Earth, Mars, Jupiter. Saturn, and Uranus, are those given by the late F. Baily, Esq., in his "Astronomical Tables and Formulæ," and are the same with those which form the basis of Delambre's tables, embodying the formulæ of Laplace. The elements of Uranus and Neptune can only be regarded as provisional; those of the former requiring considerable corrections, necessitated by the discovery of Neptune, but which, uut being yet finally ascertained, by reason of the uncertainty still attending on the mass and elements of the latter planet, it was thought better to leave the old elements untouched than to give an imperfect rectification of them, Those of Neptune are Prof. Sears Walker's, as stated in Berl. Ephem. 1858, p. 408. The masses of the planets are those most recently adopted by Encke (Ast. Nachr. No. 443.), on mature consideration of all the authorities, that of Neptune excepted, which is Prof. Pierce's determination from Bond's and Lassell's observation of the satellite discovered by the latter. The densities are calculated from the values adopted for M, D, and E.

The elements of the Asteroids, Nos. 1-42, with exception of Flora and Daphne, are those used in the Supplement to the Nautical Almanac for 1861. Those of the two last named Asteroids are Brünnow's and Pape's, given in the Berl. Ephem. for 1860. The elements of Nos. 43, 44, 45, 46, are those of Pape and Förster, as stated in Ast. Soc. Notices, vol. xvii.; of Nos. 47, 48, 49, 50, those given respectively by Bruhns, Powalsky, and Encke, in Astron. Nachr., Nos. 1117, 1115, 1115, 1127. The elements of Nemansa (if it be really to retain so uncouth a name), and of No. 52, have not yet come to our knowledge. Those of Eugenia (45.) are very uncertain.

The elements of the recently-discovered small planets may undergo material corrections from further observation. The orbits of Astræa and Hygeia approach at one point (their common node) within 0·006 of the radius of the earth's orbit. Many of the names of the Asteroids appear to us very unhappily chosen. Thus, confusion is very likely to arise in printing or speaking, between Iris and Isis, Lutetia and Lætitia, Thetis and Metis, Thetis and Themis, Vesta and Hestia, Hygeia and Egeria, Egeria and Eugenia, Pallas and Pales. Is it too much to hope that the discoverers of the interfering members of these pairs will reconsider their names? It is not yet too late: there is yet a Muse or two left; the Nymphs, Dryads, Oceanidæ, &c., afford an infinite choice of classic names, graceful and euphonous. Metis is known to few as a mythological name, Pales to fewer as that of a female divinity, Nemansa to none as the name of anybody (the ancient name of Nismes was Nemansus).

III.

SYNOPTIC TABLE OF THE ELEMENTS OF THE ORBITS OF THE SATELLITES, SO FAR AS THEY ARE KNOWN.*

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*The distances are expressed in equatorial radii of the primaries. The epoch is Jan. 1. 1801, unless otherwise expressed. The periods, &c., are expressed in mean solar days.

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The excentricities of the 1st and 2d Satellites are insensible, those of the 3d and 4th small, but variable, in consequence of their mutual
perturbation.

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The longitudes are reckoned in the plane of the ring from its descending node with the ecliptic. The first seven satellites move in, or very
nearly in, its plane; that of the 8th is inclined to it at an angle about half way intermediate between the planes of the ring and of the planet's
orbit. The apsides of Titan have a direct motion of 30′ 28′′ per annum in longitude (on the ecliptic).

The discovery of Hyperion is quite recent, having been made on the same night (Sept. 19. 1848), by Mr. Lassell, of Liverpool, and Prof.
Bond, of Cambridge, U. S. Its distance and period are as yet hardly more than conjecture. Messrs. Kater, Encke, and Lassell agree in
representing the ring of Saturn as subdivided by several narrow dark lines, besides the broad black divisions which ordinary telescopes show.

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Nodes and Inclinations.

The orbits are inclined at an angle of about 78° 58' to the ecliptic in a plane whose ascending node is in long. 165° 30′ (Equinox of 1798). Their motion is retrograde. The orbits are nearly circular.

5. SATELLITES OF NEPTUNE.

1. Sidereal revolution=54 21 2m 43. Longitude of 8=175° 40'? Longitude of perihelion=177° 30'? Inclination to ecliptic= 151° 0'? Excentricity=0·10597? Mean distance about 12 radii of the planet.—(Hind, Astr. Soc. Notices, xv. 47.)

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