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IAA Transactions, No. 8, ``Celestial Mechanics'', 2002
Preliminary results of search studies of predicted
hypothetical objects beyond the orbit of Jupiter
B. R. Mushailov, A. A. Kaloshin
Sternberg Astronomical Institute, Moscow, Russia
In paper [1] on the basis of the external variant of the restricted circular three­
body problem we calculated the most probable orbits of hypothetical asteroids
moving in orbital commensurabily with Jupiter. Using the obtained orbital ele­
ments we calculated the equatorial topocentric coordinates of area localization of
the predicted objects and the zones (area of ``average daily motion'') most prob­
able for their discovery: 164 00
:08 \Xi 173 00
:06, 175 00
:60 \Xi 184 00
:56, 185 00
:90 \Xi 213 00
:42,
215 00
:44 \Xi 230 00
:74 . Estimation of probable orbits was based on evident assump­
tion that the sought asteroids can exist long time if the elements of their orbits
are within the areas of orbital stability, i.e. areas of stability of motion.
The orbital resonance interactions with Jupiter result in perturbation effects
upon parameters like ``areas of stability''. For some zones of internal part of the
main asteroids belt the effects of orbital resonance interactions with Mars [2] are
prevailing ones.
As earlier predicted in [3] on the basis of similar theoretical considerations
(planetary variant of the restricted elliptical three--body problem) about existence
of the libration--stable orbits in the Kuiper belt more than 200 objects, moving
in orbital resonances of Lindblad with Neptune, are already discovered..
Beginning in 2000, observations aimed to find hypothetical ``resonance ob­
jects'' related with Jupiter have been performed in Simeiz observatory of Russia
( by means of telescope ``Zeiss--1000'', CCD ST--6) and in international observa­
tory ``Peak Terscol'' (telescope ``Zeiss'' GAO UAS, CCD ``Photometrics'').
In result of search observations there were discovered several candidates for
sought hypothetical objects at the limit of sensitivity of the used equipment
(19:5 \Xi 20:0 mag.). The upper estimate of the brightness of these objects has
been found as well.
This work is supported Grant RSSI 00­02­17744.
139

References
1. Gerasimov I. A., Mushailov B. R. On existence of extra--orbit libration as­
teroids of Jupiter. Cosmic Research., 1995, 3--33, 317--320.
2. Gerasimov I. A., Mushailov B. R. On evolution of asteroids orbit, being in
orbital commensurabilities with Mars. Solar System Research., 1992, 4--26,
32--38.
3. Gerasimov I. A., Mushailov B. R. On existence of Kuiper belt objects in
orbital resonance with Neptune. Bulletin. Moscow Univ., ser. 3, 1999, 1,
53--59.
140