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

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

Mar 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cemec..43..349m&link_type=abstract

Celestial Mechanics, Volume 43, Issue 1-4, pp. 349-359

Physics

Planetary Rings:Encounters, Planetary Satellites:Encounters

Scientific paper

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 the Hill's problem, extended to fully take into account the eccentricities. The Lie's 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 large one (shepherds).

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