A study of near-circular satellite orbits perturbed by the zonal harmonics and in resonance with the Earth's gravity field

1991 ◽  
Vol 11 (6) ◽  
pp. 171-177 ◽  
Author(s):  
M.S. Gilthorpe ◽  
P. Moore

A method is derived for removing the perturbations in eccentricity due to the effects of air drag, on satellite orbits of low eccentricity and, in particular, for those lying in planes inclined at angles close to the critical angle of inclination of 63.4°, for which the oscillation in eccentricity due to the Earth’s gravity field is significantly large.


A solution is obtained for the motion of a satellite in a near-circular orbit when acted upon by the zonal harmonics in the geopotential. It can be applied, in particular, to the evaluation of the indirect effects of the zonal harmonics on a satellite which is also acted upon by lunisolar perturbations. This approach avoids some of the limitations inherent in earlier solutions. Expressions are obtained for the time variations of all the elliptic elements a , e , I , ω , Ω and M , and the solution is valid to the first order of the zonal harmonics J n ( n > 2) and up to the second order in J 2 . It can be applied to non-equatorial satellites with orbital eccentricities < 0.03 and inclinations not near the critical inclination of 63.4°.


1974 ◽  
Vol 10 (3) ◽  
pp. 237-238
Author(s):  
F. Morrison

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