Elliptical Hill's problem (large and small impact parameters)

descriptionPublicationkeyboard_double_arrow_right Article , Part of book or chapter of book 01 Mar 1987 English Publisher:Springer Science and Business Media LLCJournal:Celestial Mechanics, volume 43, pages 349-359 (issn: 0008-8714, eissn: 1572-9478,

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Authors: Moons, M.; Delhaise, F.; Depaepe, E.;

doi: 10.1007/bf01234579 , 10.1007/978-94-009-2285-3_30

Elliptical Hill's problem (large and small impact parameters)

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Abstract

This paper gives analytical formulas to express the changes in orbital elements due to a close encounter between two particles of a ring or between two small satellites of a planet. The study is performed in the frame of Hill's problem, extended to fully take into account the eccentricities. The Lie transform method is used to average the Hamiltonian, particularized to two types of encounters: the ones with small impact distance (coorbitals) and those with a largeone (shepherds).

Related Organizations

University of Namur
Belgium

Keywords

Lie transform method, Celestial mechanics, Orbital mechanics, orbital elements, Hill's problem

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