Satellite motion around an oblate planet: a perturbation solution for all orbital parameters

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Authors
Danielson, D.A.
Latta, G.E.
Sagovac, C.P.
Krambeck, S.D.
Snider, J.R.
Subjects
Perturbation solution
oblate planet
orbital parameters
Advisors
Date of Issue
1993-05-06
Date
May 06, 1993
Publisher
Monterey, California. Naval Postgraduate School
Language
Abstract
The search for a universal solution of the equations of motion for a satellite orbiting an oblate planet is a subject that has merited gre.at interest because of its theoretical and practical implications. Here, a complete first-order perturbation solution, including the effects of the 12 terms in the planet's potential, is given in terms of standard orbital parameters. The simple formulas provide a fast method for predicting satellite orbits that is more accurate than the two-body formulas. These predictions are ~hown to agree well with those of a completely numerical code and with actual satellite data. Also, in an appendix, it is rigorously proven that a satellite having negative mC(;hanical energy remains for all time within a spherical annulus with radii approximately equal to the perigee and apogee of its initial osculating ellipse.
Type
Technical Report
Description
Technical Report For Period January 1993 - April 1993
Series/Report No
Department
Mathematics
Identifiers
NPS Report Number
NPS-MA-93-O18
Sponsors
Funder
Naval Postgraduate School
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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