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An Analytical State Transition Matrix for Orbits Perturbed by an Oblate SpheroidAn analytical state transition matrix and its inverse, which include the short period and secular effects of the second zonal harmonic, were developed from the nonsingular PS satellite theory. The fact that the independent variable in the PS theory is not time is in no respect disadvantageous, since any explicit analytical solution must be expressed in the true or eccentric anomaly. This is shown to be the case for the simple conic matrix. The PS theory allows for a concise, accurate, and algorithmically simple state transition matrix. The improvement over the conic matrix ranges from 2 to 4 digits accuracy.
Document ID
19780007194
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Mueller, A. C.
(Analytical and Computational Mathematics, Inc. Houston, TX, United States)
Date Acquired
September 3, 2013
Publication Date
May 1, 1977
Subject Category
Astrodynamics
Report/Patent Number
NASA-CR-151602
ACM-TR-104
Accession Number
78N15137
Funding Number(s)
CONTRACT_GRANT: NAS9-15171
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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