Other
Scientific paper
Jan 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986cemec..38...67h&link_type=abstract
Celestial Mechanics (ISSN 0008-8714), vol. 38, Jan. 1986, p. 67-100.
Other
92
Hill Method, Orbital Rendezvous, Rendezvous Trajectories, Three Body Problem, Circular Orbits, Eccentric Orbits, Equations Of Motion, Numerical Integration
Scientific paper
Hill's (1878) problem is defined as the limiting case of the planar three-body problem when two of the masses are very small. This paper describes analytic developments for encounter-type solutions, in which the two small bodies approach each other from an initially large distance, interact for a while, and separate. It is first pointed out that, contrary to prevalent belief, Hill's problem is not a particular case of the restricted problem, but rather a different problem with the same degree of generality. Series expansions are then developed which allow for an accurate representation of the asymptotic motion of the two small bodies in the approach and departure phases. For small impact distances, it is shown that the whole orbit has an adiabatic invariant, which is explicitly computed in the form of a series. For large impact distances, the motion can be approximately described by a perturbation theory, originally due to Goldreich and Tremaine (1979, 1980, 1982) and rederived here in the context of Hill's problem.
Hénon Michel
Petit Jean-Marc
No associations
LandOfFree
Series expansion for encounter-type solutions of Hill's problem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Series expansion for encounter-type solutions of Hill's problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Series expansion for encounter-type solutions of Hill's problem will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1845282