A Semi-Analytical Method to Study Perturbed Rotational Motion

  • R. Vilhena De Moraes
Conference paper

Abstract

A semi-analytical method is presented to study the system of differential equations governing the rotational motion of an artificial satellite. Gravity gradient and non gravitational torques are considered. Operations with trigonometric series were performed using an algebraic manipulator. Andoyer’s variables are used to describe the rotational motion. The osculating elements are transformed analytically into a mean set of elements. As the differential equations in the mean elements are free of fast frequency terms, their numerical integration can be performed using a large step size.

Keywords

Rotational Motion Trigonometric Series Gravity Gradient Solar Radiation Pressure Artificial Satellite 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Crenshaw, J. W. and Fitzpatrick, P. M. (1968)‘Gravity effects on the rotational motion of a unaxial artificial satellite’, AIAA Journal, 6, 2140.ADSMATHCrossRefGoogle Scholar
  2. Ferraz Mello, S. (1981)‘Elimination of secular terms generated by the coupling of perturbations’, Cel. Mech., 25, 293.ADSMATHCrossRefGoogle Scholar
  3. Hoots, F. R. (1981)‘Theory of the motion of an artificial Earth satellite”, Cel. Mech. 23, 307.MathSciNetADSMATHCrossRefGoogle Scholar
  4. HORI, G. (1966)‘Theory of general perturbations with unspecified canonical variables’, Publ. Astron. Soc. Japan, Vol. 18, 4, 287.ADSGoogle Scholar
  5. Kinoshita, H. (1972)‘First-Order perturbations of the two finite body problem’, Publ. Astron. Soc. Japan, Vol. 24, 4, 423.MathSciNetADSGoogle Scholar
  6. Liu, J. J. F. and Alford, R. L. (1980)‘Semianalytic theory for a close-Earth artificial satellite’, J. Guidance and Control, Vol. 3, 4, 304.CrossRefGoogle Scholar
  7. Ricklef, R. L., Jefferys, W. H. and Broucke, R. A. (1983), A general precompiler for algebraic manipulation’, Cel. Mech. 29, 179.Google Scholar
  8. Vilhena de Moraes, R. (1981)‘Combined solar radiation pressure and drag effects on the orbits of artificial satellites’, Cel. Mech., 25, 281.ADSMATHCrossRefGoogle Scholar

Copyright information

© Kluwer Academic Publishers 1989

Authors and Affiliations

  • R. Vilhena De Moraes
    • 1
  1. 1.Instituto Tecnológico de AeronáuticaCTA-ITA-IEA-IEABSão José dos Campos-SPBrasil

Personalised recommendations