Sufficient conditions for escape or return in the planar case of the comet problem

Details Sufficient conditions for escape or return in the planar case of the comet problem Sufficient conditions for escape or return in the planar case of the comet problem

Apr 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975crasm.280.1037n&link_type=abstract

Academie des Sciences (Paris), Comptes Rendus, Serie A - Sciences Mathematiques, vol. 280, no. 15, Apr. 21, 1975, p. 1037-1040.

Mathematics

Celestial Mechanics, Comets, Orbital Mechanics, Solar Orbits, Angular Momentum, Jacobi Integral, Jupiter (Planet), Mathematical Models, Planetary Gravitation

Scientific paper

The present paper studies the variation in angular momentum of a comet during its ejection phase while moving in the plane of primaries. A simple increase in this variation is discovered which depends only on the comet's initial radial distance; from this increase, sufficient conditions for escape and for return from a prescribed distance are derived.

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