MINOR PLANETS DISCOVERED BY WATSON— LEUSCHNER. 



361 



TABLES OF (93) MINERVA. 



OSCULATING ELEMENTS. 

 Epoch and osculation, Jan. 0.0, M. T. Greenwich = 1875.0, M. T. Greenwich. 



o / // 



g„=278 32 8=278?5356 

 w=269 44 33=269.74261 

 JJ= 5 7 8= 5. 1189 iMean equinox and ecliptic 1875.0. 



i= 8 36 20= 8. 6055 J 

 <p= 8 4 54= 8.0816 

 n= 775". 9214= 0.21553373 



g a and n are mean elements. 



The elements are based on oppositions extending from 1867 to 1902 and on the perturbations of the first order 

 by Jupiter, as given on page 362. 



loga=0.44013 

 log e =9.14793 



AUXILIARY QUANTITIES. 



log 57.2958 e=0. 90606 

 log p =0.43146 



log J\- '=9.93854 

 v 14- f. 



1+e 



TABLE I.— MEAN ANOMALYig,; AND (g-g'l. 



Jan. 0.0 of common years; Jan. 1.0 of leap years. 



Year. 



1865 

 6 

 7 



B 8 



9 



1870 



1 



B 2 



3 



4 



1875 



B 6 

 7 

 8 

 9 



B1880 

 1 

 2 



3 

 B 4 



1885 



6 



7 



B 8 



9 



1890 



1 



B 2 



3 



4 



1895 



B 6 



7 



9-9 



211. 40636 



290. 07617 



8. 74598 



87. 63133 

 166.30114 

 244. 97096 

 323. 64077 



42. 52612 

 121. 19593 

 199. 86574 

 278. 53556 

 357. 42090 



76.09071 

 154. 76053 

 233. 43034 

 312. 31569 



30. 98550 

 109. 65531 

 188. 32512 

 267. 21047 

 345. 88028 



64. 55010 

 143. 21992 

 222. 10527 

 300. 77508 



19. 44489 



98. 11470 

 177. 00005 

 255. 66986 

 334. 33967 



53. 00949 



131. 89484 



210. 56465 



289. 23446 



7. 90427 



328. 117 



16. 458 



64. 800 



113. 274 



161. 615 



209. 957 



258. 298 



306. 772 



355. 114 



43. 455 



91. 797 



140. 271 



188. 612 



236. 954 



285. 295 



333. 769 



22. Ill 



70. 452 



118. 794 



167. 268 



215. 609 



263. 951 



312. 292 



0.766 



49. 108 



97. 449 



145. 791 



194. 265 



242. 606 



290. 948 



339. 289 



27. 763 



76. 105 



124. 446 



172. 788 



Year. 



1900 

 1 

 o 



3 



B 4 



1905 



6 



7 



B 8 



9 



1910 



1 



B 2 



3 



4 



1915 



B 6 



7 



8 



9 



B 1920 



1 



2 



3 



B 4 



1925 



6 



B 



8 



9 



1930 



86. 

 165. 

 243. 

 322. 



41. 

 120. 

 198. 

 277. 

 356. 



75. 

 153. 

 232. 

 311. 



29. 

 108. 

 187. 

 266. 

 344. 



63. 

 142. 

 221. 

 299. 



18. 



97. 

 175. 

 254. 

 333. 



51. 

 130. 

 209. 

 288. 



57408 

 24389 

 91370 

 5S352 

 46S87 

 13868 

 80849 

 47830 

 36365 

 03346 

 70327 

 37309 

 25843 

 92824 

 59805 

 26787 

 15322 

 82303 

 49284 

 16266 

 04801 

 71782 

 38763 

 05744 

 9 1279 

 61260 

 28241 

 95222 

 83757 

 50738 

 17720 



9-9 



221. 129 

 269. 471 

 317.812 

 6.154 

 54. 628 

 102. 969 

 151.311 

 199. 653 

 248. 126 



296. 168 



344. 810 



33. 151 



81. 625 



129. 967 



178. 308 



226. 650 



275. 124 



323. 465 



11.807 



60. 148 



His i;22 



156. 964 



205. 305 



253. 647 



302. 121 



350. 462 



38. 804 



87. 146 



135. 620 



183. 962 



232. 304 



Note. — When g is used as an argument of the perturbations, 

 add to the g of this table Jk=k— r o =+0?0666. For explana- 

 tion see page 203. 



Change for n days ° 



21553 

 43107 

 64660 

 86213 

 07767 

 29320 

 50874 

 72427 

 93980 

 15534 

 37087 

 58640 



Ml 19 1 



01747 

 23301 



44854 

 66407 

 87961 

 09514 

 31067 

 52621 

 74174 

 95728 

 17281 

 38834 

 60388 

 81941 

 03494 

 25048 

 16601 



9-9 



2.119 

 2.252 

 2.384 

 2.516 

 2.649 

 2.781 

 2.914 

 3.046 

 3. 179 

 3.311 

 3.444 

 3.576 

 3.708 

 3.841 

 3.973 



a For days during January and February of 

 leap year subtract one day before entering 

 this table. 



