Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Air drag effect on a satellite orbit described by difference equations in the revolution number

Author: Robert E. Roberson
Journal: Quart. Appl. Math. 16 (1958), 131-136
MSC: Primary 70.00; Secondary 65.00
DOI: https://doi.org/10.1090/qam/93954
MathSciNet review: 93954
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Abstract: For a satellite on an orbit which is affected by air drag, difference equations are derived whose solutions express changes in orbital size and shape and give the satellite's time behavior as functions of revolution number. The results are obtained from a first order perturbation theory using a small air drag parameter.

References [Enhancements On Off] (What's this?)

  • [1] N. V. Petersen, Lifetimes of satellites in near-circular and elliptic orbits, Jet Propulsion 26, 341-351, 368 (1956)
  • [2] R. E. Roberson, Effect of air drag on satellite orbits, Am. Rocket Soc. Paper 466-57, presented at the ARS Semi-Annual Meeting, San Francisco, Calif., June 10-13, 1957
  • [3] G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, England; The Macmillan Company, New York, 1944. MR 0010746

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DOI: https://doi.org/10.1090/qam/93954
Article copyright: © Copyright 1958 American Mathematical Society

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