(1) Dept. of Physics and Astronomy, University of Glasgow, Glasgow G12, SQQ, Scotland, U.K.;(2) Dept. of Civil Engineering, University of Glasgow, Glasgow G12 SQQ, Scotland, U.K.
Abstract:
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.