+(1+μ2) + + 0.02 sin. 2 (2K) 0.14 sin. (2) 0.01 sin. (2-2 + xy) 0.003727 t cos. ( — ̃1⁄2) +(1+"R) 0.02 sin. (K) "Sr = the perturbation of Neptune's radius vector = -- +(1+)+0.00002 cos. ( h − 2 +TM1⁄2) 0.0000002513 t sin. (g) +(1+μm) +0.00008 cos. (2 ↳ — K +0.0000006742 t sin. (K H :) :) +(1+2)+0.00004 cos. (2—2— "g) 0.0000002163 t sin. (xy) "These formulæ may be exhibited in the following form, which is similar to that adopted by the illustrious Leverrier, in his theory of Mercury, and very convenient for the construction of tables. The coefficients for the corrections of the masses are hereafter omitted. "In these equations, k, h, q, 0, A, and B are determined by the following formulæ : + 208 18) +0.44 cos. (2 — y +0.82 cos. [2 (2)+348 9] k sin. q = 1.87 sin. (μ — Ķ +306 5 13) +0.22 sin. [2 ( − K) + 171 28] 0.11 sin. [5 (K) + 180] +0.05 sin. [6 (—) + 180] +0.01 H 0.01 sin. [8 (—) + 168] +0.51 sin. (h-K +77 0) +0.55 sin. [2 (h)+268 55] +0.46 sin. [2-Y +64 0] +0.82 sin. [2(4)+348 9] |