theory about double that of
Neptune. And for convenience of computation and reference, he has been
in the habit of symbolizing it by a volcano. The following table of the
radii vectores of the sun, and the longitude of his centre, for the
years designated in Schwabe's table, is calculated from the following
data for each planet:

Long. of
Planets. Masses. Mean distances. Eccentricities. Perihelion.
[JUPITER] 1/1648 494.800.000 0.0481 11d
[SATURN] 1/3310 907.162.000 0.0561 89
[URANUS] 1/23000 1824.290.000 0.0166 167
[NEPTUNE] 1/20000 2854.000.000 0.0088 0
[VOLCANO] 1/28000 4464.000.000

No. of spots in
Dates. Rad. vector. Sun's long. Ordinates. Schwabe's table.
Jan. 1, 1826 528,000 320d + 84 118
" 1827 480,000 339 + 36 161
" 1828 432,000 352 - 12 Max. 225 Max.
" 1829 397,000 38 - 47 199
" 1830 858,000 71 - 86 190
" 1831 324,000 104 - 120 149
" 1832 311,000 144 - 133 84
" 1833 300,000 183 - 144 Min. 33 Min.
" 1834 307,000 220 - 137 51
" 1835 338,000 263 - 106 173
" 1836 380,000 302 - 55 272
" 1837 419,000 337 + 25 Max. 333 Max.
" 1838 488,000 3 + 44 282
" 1839 651,000 29 + 107 162
" 1840 632,000 51 + 188 152
" 1841 680,000 80 + 236 102
" 1842 730,000 105 + 286 68
" 1843 160,000 128 + 322 34 Min.
" 1844 188,000 152 + 339 Min. 52
" 1845 772,000 174 + 328 114
" 1846 728,000 196 + 284 157
" 1847 660,000 218 + 216
" 1848 563,000 240 + 119 Observed. Max.
" 1849 447,000 261 + 3 Max.