Abstract
This paper considers the ground trace of an artificial earth satellite. It determines the effects of the trace caused by perturbations due to atmospheric drag, the oblateness of the earth, and the moon and the sun as a third body.
The necessary mathematical relations giving these perturbations which are available in literature are utilized (Betz, 1967; Brouwer and Clemence, 1961; Brouwer and Hori, 1961; Danby, 1962; Escobal, 1965; Kentet al., 1963; Kozai, 1962). Those relations unavailable elsewhere are derived.
The computation was done by programming in FORTRAN language and utilizing an IBM 360/65.
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References
Betz H. R.: 1967, ‘An Analytical Formulation for a Satellite Ground Trace’, Electronic Systems Division Technical Report 67-351, Air Force Systems Command, USAF, Mass.
Brouwer, D. and Clemence, G. M.: 1961,Methods of Celestial Mechanics, Academic Press, New York and London.
Brouwer, D. and Hori, G.-I.: 1961,Theoretical Evaluation of Atmospheric Drag Effects on the Motion of an Artificial Satellite, Astron. J.,66, 193–225.
CIRA 1965: Cospar International Reference Atmosphere, Cospar Working Group IV, North Holland Publ. Co., Amsterdam, 1965.
Danby, J. M. A.: 1962,Fundamentals of Celestial Mechanics, Macmillan, New York.
Escobal, P. R.: 1965,Methods of Orbit Determination, Wiley, New York.
Kent, J. T., Taack, Jr., G. B., and Larson, D. C.: 1963, ‘Tables for Eccentric and True Anomaly in Elliptic Orbits’, 1963, NASA Technical Report R-158, U.S. Government Printing Office, Washington, D.C.
King-Hele, D.: 1964,Theory of Satellite Orbits in an Atmosphere, Butterworth, London.
Kozai, Y.: 1962, ‘Numerical Results from Orbits’, S.A.O. Special Report No. 101, Smithsonian Astrophysical Observatory, Cambridge, Mass.
Roy, A. E.: 1965,The Foundations of Astrodynamics, Macmillan, New York.
The American Ephemeris and Nautical Almanac, U.S. Government Printing Office, Washington, D.C., 1968.
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Captain, USAF
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Kent, J.T., Betz, H.R. Ground traces of artificial earth satellites. Celestial Mechanics 1, 91–109 (1969). https://doi.org/10.1007/BF01230635
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DOI: https://doi.org/10.1007/BF01230635