Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981azh....58..879z&link_type=abstract
Astronomicheskii Zhurnal, vol. 58, July-Aug. 1981, p. 879-885. In Russian.
Astronomy and Astrophysics
Astronomy
1
Celestial Mechanics, Elliptical Orbits, Gravitational Effects, Orbit Perturbation, Three Body Problem, Algorithms, Canonical Forms, Computer Techniques, Equations Of Motion, Hamiltonian Functions
Scientific paper
Consideration is given to the motion of a gravitating point mass within the framework of the three-dimensional elliptical restricted three-body problem in the presence of mean motion commensurability. On the basis of a computer expansion of the perturbing forces, families of stationary and conditionally periodic solutions are found at commensurabilities between the mean motions point mass and the less massive body of 2/1, 5/2 and 4/1. It is noted that the algorithm employed may be used to obtain families of stationary solutions at any commensurability, and that the stationary solutions obtained may be used in the development of a theory of resonance asteroid motions.
Gerasimov Igor A.
Zhuravlev S. G.
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