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Showing papers on "Symplectic vector space published in 1970"


Journal ArticleDOI
TL;DR: 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 mentioned in this paper.
Abstract: 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.

5 citations


Journal ArticleDOI
R. H. Dye1
01 Jul 1970

4 citations