NELLA TEORIA DEI PIANETI 79 



^3= 9cos[{i—l)o'—{i-l)v] -4- 9co?.[(t+l)o'— ((+l)u] 



— 9cos[((— l)u'— ((-|-l)r+2n] — 9cos[(j4-I)o'— (t— l)y— 2n] 



— 3cos[(j— 3)0'— (j— l)f7+2n] — 3cos[{i-\-3)v'—(i-\-l)v—2U] 

 + 3cos[(j-3)y'— (/-|-l)f-|-4ll] + 3 cos [ (f+3) D'—(f— 1)0—411] 



— 3eo.s[(Z— 1)d'— (t— 3)0— 211] — 3cos[(i+l)o'— (j+3)o+2n] 

 + 3cos[(j— 1)0'— (i+3)o+4n] 4- 3cos[(/+l)o'— (f— 3)0— 411] 

 + cos[((— 3)0'— ((■— 3)0] + cos[(j-t-3)o'— («+3)o] 



— cos[(j— 3)0'— (1+3)0+611] — cos[(«+3)o'— (j— 3)0— en] , 



A^— 36cos[(io'— fo] 



— 24cos[(t— 2)0'— fO+2n] — 24cos[(f+2)o'— fo— sn] 



— 24 cos[(«o'—(t+2) 0+211] — 24cos[(;o'— (j- 2)0— 211] 

 + 16cos[(i— 2)0'— (j— 2)0] + 16cos[(i+2)o'— (j+2)o] 



+ 16cos[(j— 2)0'— (f+2)o+41I] + 16cos[(;+2)o'— (j— 2)0— 411] 



+ 6cos[(i— 4)0'— J0+41I] + 6cos[(j+4)o'— «0-411] 



+ 6 cos[jo'— (£+4)0+411] + 6cos[to'— (i— 4)0— 4n] 



— 4cos[(j— 4)o'— (J— 2)o+2n] — 4cos[(i+4)o'— (j+2)o— 20] 



— 4cos[(j— 4)0'— (i+2)0+6n] — 4cos[(j+4)o'— (j- 2)0— 611] 



— 4cos[(t— 2)0'— ((— 4)0— 211] — 4cos[(j+2)o'—(/+4) 0+211] 



— 4cos[(j— 2)0'— (1+4)0+611] — 4cos[(j+2)o'— (1—4)0— en] 

 + cos[(j— 4)0'— («— 4)0] + cos[(t+4)o'— (j+4)o] 



+ cos[(j-4)o'— (t+4)o+8n] + cos[(j+4)o'— (f— 4)0— 811], 



A5=100cos[(j— 1)0'— (j— 1)0] +100cos[(j+l)o'— (i+l)o] 



— 100 cos[(i— 1)0'— (j+1) 0+211] — I00cos[(t+l)o'— (j— 1)0— 2n] 



— 50cos[(t— 3)0'— (j— 1)0+211] — 50cos[(t+3)o'— (t+l)o— 211] 

 + 50cos[(i— 3)0'— (f+l)o+4n] + 50cos[(t+3)o'— (i— 1)0— 4n] 



— 50cos[(«— 1)0'— (1—3)0— 2n] — 50cos[(j+l)o'— (t+3)o+2II] 



