On The Concept Of Periapsis In Hill's Problem

Details On The Concept Of Periapsis In Hill's Problem On The Concept Of Periapsis In Hill's Problem

Sep 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004cemda..90..165v&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 90, Issue 1-2, pp. 165-178

Astronomy and Astrophysics

Astronomy

Capture, Escape, Hill’S Problem, Periapsis, Periodic Orbits, Hill'S Problem

Scientific paper

The concept of closest approach is analyzed in Hill's problem, resulting in a partitioning of the position space. The different behavior between the direct and retrograde motion is explained analytically, resulting in a simple estimate of the variation of Hill's periodic and quasi-circular orbits as a function of the Jacobi constant. The local behavior of the orbits on the zero velocity surfaces and an analytical definition of local escape and capture in Hill's problem are also given.

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