1833 33 267
1834 51 273
1835 173 244
1836 272 200
1837 333 168
1838 282 202
1839 162 205
1840 152 263
1841 102 283
1842 68 307
1843 34 324

Previous to the publication of this table, the author had inferred the
necessity of admitting the existence of another planet in the solar
system, from the phenomenon of which we are speaking. He found a
sufficient correspondence between the minima of spots to confirm the
explanation given by the theory, and this was still more confirmed by
the more exact determination of Schwabe; yet there was a little
discrepancy in the synchronous values of the ordinates, when the theory
was graphically compared with the table. Previous to the discovery of
Neptune, the theory corresponded much better than afterwards, and as no
doubt could be entertained that the anomalous movements of Uranus were
caused by an exterior planet, he adopted the notion that there were two
planets exterior to Uranus, whose positions at the time were such, that
their mechanical affects on the system were about equal and contrary.
Consequently, when Neptune became known, the existence of another planet
seemed a conclusion necessary to adopt. Accordingly, he calculated the
heliocentric longitudes and true anomalies, and the values of radius
vector, for all the planets during the present century, but not having
any planetary tables, he contented himself with computing for the
nearest degree of true anomaly, and the nearest thousand miles of
distance. Then by a composition and resolution of all the forces, he
deduced the radius vector of the sun, and the longitude of his centre,
for each past year of the century. It was in view of a little
outstanding discrepancy in the times of the minima, as determined by
theory and observation, that he was induced to consider as almost
certain the existence of a theoretical planet, whose longitude, in 1828,
was about 90d, and whose period is from the