The Symplectic Property of Matrizants

Details The Symplectic Property of Matrizants The Symplectic Property of Matrizants

Aug 1970

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1970ap%26ss...8..243k&link_type=abstract

Astrophysics and Space Science, Volume 8, Issue 2, pp.243-250

Astronomy and Astrophysics

Astrophysics

4

Scientific paper

The matrizants of simply and doubly symmetric orbits of the three-dimensional restricted problem of three bodies because of their symplectic character, can be transformed by means of multiplication with constant matrices into symmetric ones. As a result the bilinear relations between their elements, existing on account of the symplectic property, take linear and very simple forms. This fact is very useful in computer applications where these relations are used as criteria of accuracy.

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