Physics
Scientific paper
Mar 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982kosis..20..196p&link_type=abstract
Kosmicheskie Issledovaniia, vol. 20, Mar.-Apr. 1982, p. 196-205. In Russian.
Physics
1
Celestial Mechanics, Dynamic Stability, Libration, Radiation Pressure, Three Body Problem, Gyroscopic Stability, Hamiltonian Functions, Illuminance, Solar System, Theorem Proving
Scientific paper
The paper examines the stability of libration points in the three-dimensional restricted photogravitational circular three-body problem (the problem is called 'photogravitational' because the effect of light pressure on the libration points is taken into account). The problem admits seven equilibrium particular solutions, five of which are analogous to the classic libration points. The possibility of the gyroscopic stabilization of the sixth and seventh libration points is established, and the stability of triangular libration points is also considered. An analysis is then presented of all possible resonances of third and fourth orders for which formal stability is violated. The Arnold diffusion rate is calculated for all the libration points considered.
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