Journal of Astronomy and Space Sciences

The Korean Space Science Society (한국우주과학회)
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Orbital Elements Evolution Due to a Perturbing Body in an Inclined Elliptical Orbit

  • Rahoma, W.A (Department of Astronomy, Faculty of Science, Cairo University)
  • Received : 2014.07.01
  • Accepted : 2014.09.01
  • Published : 2014.09.15
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Abstract

This paper intends to highlight the effect of the third-body in an inclined orbit on a spacecraft orbiting the primary mass. To achieve this goal, a new origin of coordinate is introduced in the primary and the X-axis toward the node of the spacecraft. The disturbing function is expanded up to the second order using Legendre polynomials. A double-averaged analytical model is exploited to produce the evolutions of mean orbital elements as smooth curves.

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References

  1. Blitzer L, Lunar-Solar Perturbations of an Earth Satellite, American Journal of Physics 27, 634-645 (1959). http://dx.doi.org/10.1119/1.1934947
  2. Broucke RA, Long-term third-body effects via double averaging, Journal of Guidance, Control, and Dynamics 26, 27-32 (2003). http://dx.doi:10.2514/2.5041
  3. Brouwer D, Clemence GM, Methods of Celestial Mechanics, (New York, Academic press INC., (1961).
  4. Cook GE, Luni-solar perturbations of the orbit of an Earth satellite, Geophysical Juurnal 6, 271-291 (1962). http://dx.doi:10.1111/j.1365-246X.1962.tb00351.x
  5. Costa IV, "Study of the Third-Body Perturbation in a Earth's Artificial Satellite ("Estudio da Perturbacao de Terceiro Corpo em Um Satelite Artificial da Terra", in Portuguese), Master Dissertation, National Institute for Space Research, Sao Jose dos Campos, SP, Brazil (1998).
  6. Costa IV, Prado AFBA, Orbital Evolution of a Satellite Perturbed by a Third Body, Advances in Space Dynamics, 176-194 (2000).
  7. Domingos RC, Moraes RV, Prado AFBA, Third-body perturbation in the case of elliptic orbits for the disturbing body, Mathematical Problems in Engineering 2008, Article ID 763654 (2008). http://dx.doi.org/10.1155/2008/763654
  8. Giacaglia GEO, Lunar Perturbations on Artificial Satellites of the Earth, Celestial Mechanics and Dynamical Ast ronomy 9, 239-267 (1974). http://dx .doi.org/10.1007/BF01260515
  9. Hough ME, Orbits near critical inclination including lunisolar perturbations, Celestial Mechanics and Dynamical Astronomy 25, 111-136 (1981). http://dx.doi:10.1007/BF01230514
  10. Kozai Y, Effects of the Tidal Deformation on the Motion of Satellites, PASJ 17, 395-402 (1965).
  11. Kozai Y, On the Effects of the Sun and the Moon upon the Motion of a Close Earth Satellite, SAOSR 22, 7-10 (1959).
  12. Kozai Y, Secular Perturbations of Asteroids with High Inclination and Eccentricity, AJ 67, 591-598 (1962). http://dx.doi.org/10.1086/108790
  13. Prado AFBA, Costa IV, Third-Body Perturbation in Spacecraft Trajectory, in 1998 49th International Astronautical Congress, Melbourne, AU, Sept-Oct (1998).
  14. Prado AFBA, Third-body perturbation in orbits around natural satellites, Journal of Guidance, Control, and Dynamics 26, 33-40 (2003). http://dx.doi:10.2514/2.5042
  15. Solorzano CRH, Prado AFBA, Third-body perturbation using single averaged model: Application to lunisolar perturbations, Nonlinear Dynamics and Systems Theory 7, 409-417 (2007).

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