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Contribution of zonal harmonics to gravitational momentIt is presently demonstrated that a recursive vector-dyadic expression for the contribution of a zonal harmonic of degree n to the gravitational moment about a small body's center-of-mass is obtainable with a procedure that involves twice differentiating a celestial body's gravitational potential with respect to a vector. The recursive property proceeds from taking advantage of a recursion relation for Legendre polynomials which appear in the gravitational potential. The contribution of the zonal harmonic of degree 2 is consistent with the gravitational moment exerted by an oblate spheroid.
Document ID
19910038342
Document Type
Reprint (Version printed in journal)
Authors
Roithmayr, Carlos M.
(NASA Johnson Space Center Houston, TX, United States)
Date Acquired
August 15, 2013
Publication Date
February 1, 1991
Publication Information
Publication: Journal of Guidance, Control, and Dynamics
Volume: 14
ISSN: 0731-5090
Subject Category
Astrodynamics
Accession Number
91A22965
Distribution Limits
Public
Copyright
Other

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