The symplectic property of matrizants in Störmer's problem |
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| Authors: | A G Mavraganis |
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| Institution: | 1. Dept. of Mechanics, University of Patras, Greece
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| Abstract: | The matrizants of periodic solutions in Störmer's problem, because of their symplectic character, can be transformed by means of multiplication with constant matrices into symmetric ones. As a result the six bilinear relations between their elements, existing on account of the symplectic property, are replaced by 14 linear and simple forms. This fact is very useful in numerical integrations where these relations are used as criteria of accuracy. |
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