Bulletin géodésique

, Volume 52, Issue 2, pp 101–105 | Cite as

Modified equations for the determination of odd zonal harmonics

  • Xavier Berger
  • Georges Ligier


The development of the analytical theory of the motion of an artificial satellite (Berger, 1972–1975) points out the great importance of the second, third order and coupling terms between zonal harmonics. These terms have been added to the equations established byKing-Hele andCook (1968–1973) for the determination of odd zonal harmonics. This solution is compared with theirs. It satisfies all the equations much better and especially the equations relating to near-critical inclination satellites.


Coupling Effect Coupling Term Artificial Satellite Critical Inclination Zonal Harmonic 
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Copyright information

© Bureau Central de L'Association Internationale de Géodésie 1978

Authors and Affiliations

  • Xavier Berger
    • 1
  • Georges Ligier
    • 2
  1. 1.Cerga-Observatoire de ParisFrance
  2. 2.Ecole Polytechnique de MontréalCanada

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