An alternative deduction of the hill-type surfaces of the spatial 3-body problem

Details An alternative deduction of the hill-type surfaces of the spatial 3-body problem An alternative deduction of the hill-type surfaces of the spatial 3-body problem

Sep 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992cemda..53..233y&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 53, Issue 3, pp.233-254

Astronomy and Astrophysics

Astronomy

Spatial 3-Body Problem, Best Possible Zero Velocity Surface, Inertia Ellipsoid, Canonical Transformation

Scientific paper

In the present paper, inequalities stronger than Sundman's and the best possible zero velocity surfaces of the spatial 3-body problem first obtained by Saari (1987) are deduced using a modified version of the transformation developed by Zare (1976). The notion of inertia ellipsoid is used to show the equivalence of the present authors' result to that of Saari's.

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