Astronomy and Astrophysics – Astronomy
Scientific paper
Jun 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986icar...66..536p&link_type=abstract
Icarus (ISSN 0019-1035), vol. 66, June 1986, p. 536-555.
Astronomy and Astrophysics
Astronomy
153
Satellite Orbits, Space Rendezvous, Eigenvalues, Equations Of Motion, Poincare Problem
Scientific paper
The present study is concerned with a problem involving two light bodies M2 and M3 in an orbit around a heavy central body M1. The bodies M2 and M3 are initially far apart so that their mutual attraction is negligible. The radii of the orbits are slightly different. The inner body has a slightly larger angular velocity and eventually catches up with the outer body. As the distance between M2 and M3 becomes small, their mutual attraction is no longer negligible. The considered phenomenon is called an encounter, and the motion of M2 and M3 during and after the encounter is considered. It is pointed out that this problem covers a number of actual situations in astronomy, taking into account the gravitational interaction between particles in planetary rings, the motion of coorbital satellites, and the distribution of particles around the earth. The problem is studied on the basis of numerical integration, and the equations are reduced to the classical set of Hill's equations.
Hénon Michel
Petit Jean-Marc
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