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+

+ (1+2)

+

+

}

(24-ли)
0.42 sin. (24-2+")
0.02931 t cos. ( - )

-2

0.01 sin. (24 - 24 + πy). 0.82 sin. (22/ - 4 - πη) 0.003727 t cos. ( — πη)

+ (1+) 0.02 sin. ( - )

"dr = the perturbation of Neptune's radius vector =

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0.00004 cos. (h - 24 + πη) +(1+μη) + 0.00008 cos. (2 h - - πη) + 0.0000006742 t sin. (Κ – πη)

}

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"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.

[blocks in formation]

1.70 sin. 3 ( - )

0.54 sin. 4 (-)

0.21 sin. 5 (-)

0.09 sin. 6 (-)

0.04 sin. 7 (-)

0.02 sin. 8 (-)

0.01 sin. 9 (-)

0.01 sin. 10 (一)

+ 18.60 sin. (2-)
0.15 sin. 2 (-)
0.02 sin. 3 (-)
+34.09 sin. (24-V)
0.02 sin. 2 (21-4)
+ 0.02 sin. (-)
+k sin. (+ 4) + A.

[blocks in formation]

"In these equations, k, h, q, 0, A, and B are determined by the following formulæ :

k cos. q =

1.87 cos. (-+ 306 5 13)

+ 0.22 cos. [2 ( - ) + 171 28]

+ 1.76 cos. [3 (-) + 05]

+ 0.35 cos. [4 (H-K) + 221 30]

+ 0.13 cos. 5 (H-)

+ 0.07 cos. 6 (-)

+ 0.03 cos. [7 (-) + 348]
+0.01 cos. [8(-) + 348]
+0.44 cos. (h- + 242 47)
+0.55 cos. [2 (-) + 271 3]
+0.44 cos. (21-4 + 208 18)
+0.82 cos. [2 (24-4) + 348 9]

[blocks in formation]

+306 306 5 13)

+ 0.22 sin. [2 (-) + 171 28]
+ 1.70 sin. [3 (H-K) + 178 45]
+0.32 sin. [4(-) + 180]
+ 0.11 sin. [5 (-) +180]

+ 0.05 sin. [6 (-) + 180]
+ 0.03 sin. [7(-) + 168]
+ 0.01 sin. [8(-) + 168]
+0.51 sin. (h- + 77 0)
+ 0.55 sin. [2 (h-K) + 268 55]
+ 0.46 sin. [24 - + 640]
+0.82 sin. [2(24-X) + 3489]

h cos. 0 = 0.00011 cos. ( - +121)

[blocks in formation]

h sin. 0 = 0.00011 sin. ( - +301)

[blocks in formation]

A =

+ 0.00012 sin. [2 (24) + 168]

0.022332 t sin. ( + 284 56 38)

+ 187.33 sin. (H

+1724.04 sin. (24-H

+ 38 24 43)

+ 188 42 10)

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