Black dots mark the discovered planets from Mercury to Pluto.
The curve, drawn through them is a smooth approximation of this dependence
[10]. Transneptunian planets of the Hamburg School are marked by square marks
on the scheme. As you can see from the drawing, the first four
transneptunian planets, calculated by Alfred Witte himself, are situated
close enough to the smooth curve, and the last planet of Kronos is very
close to it. It can be seen from the scheme, that the hypothetical
Cupido is really the approximately calculated Pluto, because the
difference in their cycles is not far more than 10 years, and the
ephemeris of Cupido in the 20th century differs from the ephemeris of Pluto
no more than half a sign at average. As for the planets calculated by
Friedrich Sieggrün, they can not be put into accordance with any smooth
approximation, thus proving an evident mistake in determination of their
cycles; but, possibly, because of the very slow orbital motion, their
empirical ephemerides calculated by Sieggrün have acceptable precision.
But if there are 14th, 15th, 16th and 17th planets in the solar system,
they must have significantly larger cycles, vividly expressed by
the above scheme. According to the smooth approximation shown in it, the
cycles of transplutonian planets must be approximately equal to 346
(Hades), 440 (Zeus), 530 (Kronos), 617 (Apollon), 699 (Admetos), 777
(Vulcanus) and 856 (Poseidon). And according to the latest astronomical
data, received by American astronomers with the help of the Hubble Space
Telescope (HST), there is another asteroid belt behind Pluto (about
346 years), because the number of discovered distant asteroids with cycles
from 270 to 330 years already have been counted at more than 40. That is why the
existence of Hades as a planet is put under question. Nevertheless, it's
quite possible that the one of the biggest planetoids of the transplutonian
asteroid belt was astrologically discovered as "the planet" Hades.