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Gaussian variational equations for osculating elements of an arbitrary separable reference orbit.Lagrange-type equations are often used in planetary theory and sometimes in satellite theory. The equations express the variation of osculating Keplerian elements in terms of derivatives of a disturbing function or a perturbing potential. When the perturbing force is derivable from a potential, it is possible to convert the Lagrange-type equations to another form. This form, usually, attributed to Gauss, contains the perturbing forces instead of the derivatives of the potential. The case of an arbitrary separable reference orbit is discussed together with a lemma, a Keplerian check, and questions of the applicability of the equations to the spheroidal method.
Document ID
19730046311
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Vinti, J. P.
(MIT Cambridge, Mass., United States)
Date Acquired
August 7, 2013
Publication Date
April 1, 1973
Publication Information
Publication: Celestial Mechanics
Volume: 7
Subject Category
Space Sciences
Accession Number
73A31113
Funding Number(s)
CONTRACT_GRANT: NAS5-11909
Distribution Limits
Public
Copyright
Other

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