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An alternative deduction of the hill-type surfaces of the spatial 3-body problem |
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| Authors: | Ge Yan-Chad Leng Xiaoling |
| Institution: | (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. |
| Keywords: | Spatial 3-body problem best possible zero velocity surface inertia ellipsoid canonical transformation |
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