Astronomy and Astrophysics – Astronomy
Scientific paper
Dec 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982azh....59.1190g&link_type=abstract
(Astronomicheskii Zhurnal, vol. 59, Nov.-Dec. 1982, p. 1190-1199) Soviet Astronomy (ISSN 0038-5301), vol. 26, Nov.-Dec. 1982, p.
Astronomy and Astrophysics
Astronomy
5
Asteroids, Hill Method, Orbit Perturbation, Solar Orbits, Three Body Problem, Gravitational Effects, Jacobi Integral, Jupiter (Planet), Orbit Calculation, Orbital Elements
Scientific paper
The Delaunay-Hill averaging scheme is applied to the plane, circular,
restricted three-body problem with 2:1 commensurability of mean motions.
A qualitative investigation is made for the case when the first four
terms are retained in the perturbation function. Five types of phase
trajectories are found. The stability of singular solutions is analyzed.
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