The equivalence of the Hori-Mersman and the Deprit theories in the theory of perturbations

Details The equivalence of the Hori-Mersman and the Deprit theories in the theory of perturbations The equivalence of the Hori-Mersman and the Deprit theories in the theory of perturbations

Jan 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975crasm.280...21m&link_type=abstract

Academie des Sciences (Paris), Comptes Rendus, Serie A - Sciences Mathematiques, vol. 280, no. 1, Jan. 6, 1975, p. 21-23. In Fre

Mathematics

1

Celestial Mechanics, Equivalence, Operators (Mathematics), Perturbation Theory, Canonical Forms, Differential Equations, Equations Of Motion, Lie Groups, Orbit Perturbation

Scientific paper

Theories advanced by Hori (1966), Mersman (1970), and Deprit (1968) concerning the theory of perturbations in celestial mechanics are considered. A necessary and sufficient condition is found for the equivalence of the Hori-Mersman and Deprit theories. A general analytical relation is found between the Hori-Mersman operator D and the Deprit operator L when the two theories are equivalent.

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