Page:Newton's Principia (1846).djvu/506

 {| border=1 align=center Eq. time. Long. com. comput. Long. obs'd observ'd Long. Lat. July 13.12.55 15.11.15 17.10.20 23.13.40 25.14.5 31.9.42 31.14.55 Aug. 2.14.56 4.10.49 6.10.9 9.10.26 15.14.1 16.15.10 18.15.44
 * 1683
 * 1683
 * Sun's place
 * Comet's
 * Lat. Nor.
 * Comet's
 * Lat.Nor.
 * Diff.
 * Diff.
 * style="text-align:right"|d.   h.    ′
 * style="text-align:right"|d.   h.    ′

22.14.44 23.15.52 26.16. 2||style="text-align:right"|°   ′    ″ ♌ 1.02.30 2.53.12 4.45.45 10.38.21 12.35.28 18.09.22 18.21.53 20.17.16 22.02.50 23.56.45 26.50.52 ♍ 2.47.13 3.48. 2 5.45.33

9.35.49 10.36.48 13.31.10||style="text-align:right"|°   ′    ″ ♋ 13.05.42 11.37.48 10. 7. 6 5.10.27 3.27.53 ♊ 27.55. 3 27.41. 7 25.29.32 23.18.20 20.42.23 16 7.57 3.30.48 0.43. 7 ♉ 24.52.53

11. 7.14 7. 2.18 ♈ 24.45.31||style="text-align:right"|°   ′    ″ 29.28.13 29.34. 0 29.33.30 28.51.42 24.24.47 26.22.52 26.16.57 25.16.19 24.10.49 22.17. 5 20. 6.37 11.37.33 9.34.16 5.11.15 South. 5.16.58 8.17. 9 16.38. 0||style="text-align:right"|°   ′    ″ ♋ 13. 6.42 11.39.43 10. 8.40 5.11.30 3.27. 0 ♊ 27.54.24 27.41. 8 25.28.46 23.16.55 20.40.32 16. 5.55 3.26.18 0.41.55 ♉ 24.49. 5

11.07.12 7. 1.17 ♈ 24.44.00||style="text-align:right"|°   ′    ″ 29.28.20 29.34.50 29.34. 0 28.50.28 28.23.40 26.22.25 26.14.50 25.17.28 24.12.19 22.49. 5 20. 6.10 11.32. 1 9.34.13 5. 9.11 South 5.16.58 8.16.41 16.38.20||style="text-align:right"|′   ″ + 1.00 + 1.55 + 1.34 + 1.03 - 0.53 - 0.39 + 0. 1 - 0.46 - 1.25 - 1.51 - 2. 2 - 4.30 - 1.12 - 3.48

- 0. 2 - 1. 1 - 1.31||style="text-align:right"|′   ″ + 0.07 + 0.50 + 0.30 - 1.14 -1. 7 - 0.27 - 2. 7 + 1. 9 + 1.30 + 2. 0 - 0.27 - 5.32 - 0. 3 - 2. 4

-0. 3 - 0.28 + 0.20
 * }

This theory is yet farther confirmed by the motion of that retrograde comet which appeared in the year 1682. The ascending node of this (by Dr. Halley's computation) was in ♉ 21° 16′ 30″; the inclination of its orbit to the plane of the ecliptic 17° 56′ 00″; its perihelion in ♒ 2° 52′ 50″; its perihelion distance from the sun 58328 parts, of which the radius of the orbis magnus contains 100000; the equal time of the comet's being in its perihelion Sept. 4d.7h.39′. And its places, collected from Mr. Flamsted's observations, are compared with its places computed from our theory in the following table:—

This theory is also confirmed by the retrograde motion of the comet that appeared in the year 1723. The ascending node of this comet (according to the computation of Mr. Bradley, Savilian Professor of Astronomy at Oxford) was in ♈ 14° 16′. The inclination of the orbit to the plane of the ecliptic 49° 59′. Its perihelion was in ♉ 12° 15′ 20″. Its perihelion distance from the sun 998651 parts, of which the radius of the orbis magnus contains 1000000, and the equal time of its perihelion September 16d