T is the time of perihelion passage; w the longitude of the perihelion; and 2 that of the ascending node for the epoch of the perihelion ; , the inclination to the ecliptic; a, the semi-axis; ɛ, the excentricity; P, the period in days.
N. B. The reader will find a complete list of elements of all known comets up to June, 1847, by all their several computors, in Prof. Encke's edition of Olbers's "Abhandlung über die leichteste und bequemste Methode die Bahn eines Cometen zu berechnen." The list is compiled by Dr. Galle. It contains orbits of 178 distinct comets. From an examination of these orbits we collect the following, as a more correct statement of cometary statistics than that in art. 601, viz.:- Retrograde comets under 10° inclination, 3 out of 15; under 20°, 9 out of 29. Retrograde comets, moving in orbits sensibly elliptic, under 17° inclination, 0 out of 9. In such orbits, of all inclinations from 0 to 90°, 11 out of 37. Thus we see that the induction of that article is materially strengthened by the enlarged field of comparison.
N. B. The references are to the articles, not to the pages.
... attached to a reference number indicates that the reference extends to the article cited, and several subsequent in succession.
Acceleration, secular, of moon's mean Argo, nebulæ in, 887. Irregular star r
motion, 740.
Adams, 506. 767.
Adjustment, errors of, in instruments, 136. Of particular instruments. (See those instruments.)
Etna, portion of earth visible from, 32. Height of, 32. note.
Air, rarefaction of, 33. Law of density, 37. Refractive power affected by moisture, 41. Airy, G. B. Esq., his results respecting figure of the earth, 220. Researches on perturbations of the earth by Ve- nus, 726. Rectification of the mass of Jupiter, 757. Algol, 821.
Altitude and azimuth instrument, 187. -s. Equal, method of, 188. Andromeda, nebula in, 874. Angle of position, 204. Of situation, 311. Angles, measurement of, 163. 167. Hour, 107.
Angular velocity, law of, variation of, 350.
Anomalistic year, 384.
Anomaly of a planet, 499. Annular nebulæ, 875.
Apex of aberration, 343. Of parallax, 343. Of refraction, 343. Solar, 854. Of shooting stars, 902. 904.
Apogee of moon, 406. Period of its re- volution, 687. Apsides, 406.
Motion of investigated, 675. Application to lunar, 676... Motion of, illustrated by experiment,
in constellation, 830.
Ascension, right, 108. (See Right ascen- sion.)
Asteroids, their existence suspected pre- vious to their discovery, 505. Ap- pearance in telescopes, 525. Gravity on surface of, 525. Elements, Appen- dix, Synoptic Table. Astræa, discovery of, 505. Astrometer, 783, 784. Astronomy. Etymology, 11. General notions, 11.
Atmosphere, constitution of, 33... Possi- ble limit of, 36. Its waves, 37. Strata, 37. Causes refraction, 38. Twi- light, 44. Total mass of, 148. Of Jupiter, 513. Attraction of a sphere, 445-450. (See Gravitation.)
Augmentation of moon's apparent dia meter, 404.
Augustus, his reformation of mistakes in the Julian calendar, (919). Era of, 926.
Australia, excessive summer tempera- ture of, 369.
Axis of the earth, 82. Rotation perma nent, 56. Major of the earth's orbit, 373. Of sun's rotation, 392. Axis of a planetary orbit. Momentary variation of, caused by the tangential force only, 658. 660. Its variations periodical, 661... Invariability of, and how understood, 668. Azimuth, 103.—and altitude instrument, 187.
Barometer, nature of its indication, 33. Use in calculating refraction, 43. In determining heights, 287.
Belts of Jupiter, 512. Of Saturn, 514. Benzenberg's principle of collimation, 179.
Bessel, his results respecting the figure of the earth, 220. Discovers parallax of 61 Cygni, 812.
Biela's comet, 579...
Biot, his aëronautic ascent, 32. Bode, his (so called) law of planetary distances, 505. Violated in the case of Neptune, 507.
Borda, his principle of repetition, 198. Bouvard, his suspicion of extraneous influence on Uranus, 760.
Cæsar, his reform of the Roman calen- dar, 917.
Calendar, Julian, 917. Gregorian, 914... Cause and effect, 439, and note. Centre of the earth, 80. Of the sun, 462. Of gravity, 360. Revolution about, 452. Centrifugal force. Elliptic form of earth produced by, 224. Illustrated, 225. Compared with gravity, 229. Of a body revolving on the earth's surface, 452.
Ceres, discovery of, 505. Challis, Prof., 506, note. Charts, celestial, 111. Construction of,
291... Bremiker's, 506, and note. Chinese records of comets, 574. Of ir- regular stars, 831. Chronometers, how used for determining differences of longitude, 255. Circle, arctic and antarctic, 94. Verti- cal, 100. Hour, 106. Divided, 163. Meridian, 174. Reflecting, 197. Re- peating, 198. Galactic, 793. Clepsydra, 150.
Clock, 151. Error and rate of, how found, 253.
Clouds, greatest height of, 34. Magel- lanic, 892...
Clusters of stars, 864... Globular, 867. Irregular, 869.
Collimation, line of, 155.
590. Tails of, 556...566. 599. Ex- treme tenuity of, 558. General de- scription of, 560. Motions of, and described, 561... Parabolic, 564. El- liptic, 567... Hyperbolic, 564. Di- mensions of, 565. Of Halley, 567...
Of Cæsar, 573. Of Encke, 576. Biela, 579. Of Faye, 584. ell, 585. Of De Vico, 586. sen, 587. Of Peters, 588.
of elements (Appendix). Increase of visible dimensions in receding from the sun, 571. 580. Great, of 1843, 589... Its supposed identity with many others, 594... Interest attached to subject, 597. Cometary statistics, and conclusions therefrom, 601. Commensurability (near) of mean mo- tions; of Saturn's satellites, 550. Of Uranus and Neptune, 669, and note. Of Jupiter and Saturn, 720. Earth and Venus, 726. Effects of, 719. Compensation of disturbances, how ef- fected, 719. 725.
Compression of terrestrial spheroid, 221. Configurations, inequalities depending on, 655...
Conjunctions, superior and inferior, 473. Perturbations chiefly produced at, 713. Consciousness of effect when force is ex- erted, 439. Constellations, 60. 301. How brought into view by change of latitude, 52. Rising and setting of, 58. Copernican explanation of diurnal mo- tion, 76. Of apparent motions of sun and planets, 77. Correction of astronomical observations, 324... s. Uranographical summary, view of, 342...
Culminations, 125. Upper and lower, 126.
Cycle, of conjunctions of disturbing and disturbed planets, 719. Metonic, 926. Callippic, ib. Solar, 921. Lunar 922. Of indictions, 923.
Day, solar, lunar, and sidereal, 143. Ratio of sidereal to solar, 305. 909. 911. Solar unequal, 146. Mean ditto invariable, 908. Civil and astro- nomical, 147. Intercalary, 916. Days elapsed between principal chrono- logical eras, 926. Rules for reckon-
Comets, 554. Seen in day time, 555. ing between given dates, 927.
Declination, 105. How obtained, 295. Definitions, 82...
Degree of meridian, how measured, 210... Error admissible in, 215. Length of in various latitudes, 216. 221. Diameters of the earth, 220, 221. Of planets, synopsis, Appendix. also each planet.)
Dilatation of comets in receding from the sun, 578. Dione, 548.
Distance of the moon, 403.; the sun, 357.;
fixed stars, 807. 812...; polar, 105. Districts, natural, in heavens, 302. Disturbing forces, nature of, 609... Ge- neral estimation of, 611. Numerical values, 612. Unresolved in direction, 614. Resolution of, in two modes, 615. 618. Effects of each resolved portion, 616... On moon, expressions of, 676. Geomtrical representations of, 676. 717.
Diurnal motion explained, 58. Paral- lax, 339. Rotation, 144. Double refraction, 202. Image micro- meter, a new, described, 203. Comet, 580. Nebulæ, 878. Double Stars, 833... Specimens of each class, 835. Orbitual motion of, 839. Subject to Newtonian attraction, 843. Orbits of particular, 843. Dimen- sions of these orbits, 844. 848. Co- loured, 851... Apparent periods af- fected by motion of light, 863. Dove, his law of temperature, 370.
Earth. Its motion admissible, 15. Sphe- rical form of, 18. 22... Optical effect of its curvature, 25. Diurnal rotation of, 52.
plained, 640. Poles of, 307. Limits, solar, 412. Lunar, 427. Egyptians, ancient, their chronology, 912. Elements of a planet's orbit, 493. Varia- tions of, 652... Of double star orbits, 843. Synoptic table of planetary, &c., Appendix
Ellipse, variable, of a planet, 653. Mo- mentary or osculating, 654.
Elliptic motion a consequence of gravi- tation, 446. Laws of, 489... Their theoretical explanation, 491. Ellipticity of the earth, 221. Elongation, 341. Greatest, of Mercury and Venus, 467. Enceladus, 548, note.
Encke, comet of, 576. His hypothesis
of the resistance of the ether, 577. Epoch, one of the elements of a planet's orbit, 496. Its variation not inde- pendent, 730. Variations incident on, 731. 744.
Equation of light, 335. Of the centre, 375. Of time, 379. Lunar, 452. Annual, of the moon, 738. Equator, 84. Equatorial, 185.
Equilibrium, figure of, in a rotating body, 224.
Equinoctial, 97. Time, 935. Equinox, 293. 303. Equinoxes, precession of, 312. Its ef- fects, 313. In what consisting, 314... Its physical cause explained, 642... Eras, chronological list of, 926. Errors, classification of, 133. Instru mental, 135... Their detection, 140. Destruction of accidental ones by tak- ing means, 137. Of clock, how ob tained, 293.
Establishment of a port, 754. Ether, resistance of, 577. Uniform, 56. Permanence Evection of moon, 748.
of its axis, 57. Figure spheroidal, | Excentricities, stability of Lagrange's 219... Dimensions of, 220. Elliptic
figure a result of theory, 229. Tem- Excentricity of earth's orbit, 354. How
perature of surface, how maintained, 366. Appearance as seen from moon, 436. Velocity in its orbit, 474. Dis- turbance by Venus, 726. Eclipses, 411... Solar, 420. Lunar, 421... Annular, 425. Periodic return of, 426. Number possible in a year, 426. Of Jupiter's satellites, 538. Of Sa- turn's, 549.
ascertained, 377. Of the moon's, 405, Momentary perturbation of, investi-
Application to lunar theory, 688. Variations of, in orbits nearly circular, 696. In excentric orbits, 697. Permanent inequalities depending on, 719.
Ecliptic, 305... Its plane slowly varia- Faculæ, 338.
ble, 306. Cause of this variation ex- Faye, comet of, 584, and Appendix.
Flora, discovery of, 505. Focus, upper. Its momentary change of place, 670, 671. Path of, in virtue of both elements of disturbing force, 704. Traced in the case of the moon's vari- ation, 706... And parallactic inequa- lity, 712. Circulation of, about a mean situation in planetary perturba- tions, 727.
Force, metaphysical conception of, 439. Forced vibration, principle of, 650. Forces, disturbing. See Disturbing force.
Galactic circle, 793. Polar distance, ib. Galaxy composed of stars, 302. Sir W. Herschel's conception of its form and structure, 786. Distribution of stars generally referable to it, 786. Its course among the constellations, 787... Difficulty of conceiving its real form, 792. Telescopic analysis of, 797. In some directions unfathomable, in others not, 798.
Galle, Dr., 506. Finds Neptune in place indicated by theory, 768. Galloway, his researches on the sun's proper motion, 855. Gasparis, Sig. De, discovers a new pla- net (Appendix). Gauging the heavens, 793.
Gay Lussac, his aëronautic ascent, 32. Geocentric longitude, 503. Place, 371, 497.
Geodesical measurements,-their nature, 247... Geography, 111, 205...
Globular clusters, 865. Their dynami- cal stability, 866. Specimen list of, 867.
Golden number, 922.
Goodricke, his discovery of variable stars, 821...
Gravitation, how deduced from phæno- mena, 444... Elliptic motion a con- sequence of, 490...
Gravity, centre of, see Centre of gra- vity.
Gravity diminished by centrifugal force, 231. Measures of, statical, 234. Dy- namical, 235. Force of, on the moon, 433... On bodies at surface of the sun, 440. Of other planets, see their
Gregorian reform of calendar, 915...
Halley. His comet, 567. First notices proper motions of the stars, 852. Hansen. His detection of long inequa- lities in the moon's motions, 745... Harding discovers Juno, 505. Heat, supply of, from sun alike in sum- mer and winter, 368. How kept up. 400. Sun's expenditure of, estimated 397. Received from the sun by dif ferent planets, 508. Endured by cr mets in perihelio, 592. Hebe, discovery of, 505. Heights above the sea, how measured 286. Mean, of the continents, 289. Heliocentric place, 500. Heliometer, 201. Hemispheres, terrestrial and aqueous, 284. Herschel, Sir Wm., discovers Uranus, 505, and two satellites of Saturn, 548. His method of gauging the heavens, 793. Views of the structure of the Milky Way, 786. Of nebular subsi- dence, and sidereal aggregation, 869, 874. His catalogues of double stars, 835. Discovery of their binary con- nexion, 839. Of the sun's proper mo- tion, 854. Classifications of nebulæ, 868, 879, note.
Horizon, 22. Dip of, 23, 195. Rational and sensible, 74. Celestial, 98. Arti- ficial, 163.
Horizontal point of a mural circle, how determined, 175...
Hour circles, 106; angle, 107; glass, 150.
Hyperion, Appendix, Saturn's satellites.
Inclination of the moon's orbit, 406. Of planet's orbits disturbed by orthogo- nal force, 619. Physical importance of, as an element, 632. Momentary variation of, estimated, 633. Crite- rion of momentary increase or dimi- nution, 635. Its changes periodical and self-correcting, 636. Application to case of the moon, 638. Inclinations, stability of, Lagrange's the- orem, 639. Analogous in their per- turbations to excentricities, 699. Indictions, 923.
Inequality. Parallactic of moon, 712. Great, of Jupiter and Saturn, 720...
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