The Effect of C 22 on Orbit Energy and Angular Momentum [chapter]

D. J. Scheeres
1999 Impact of Modern Dynamics in Astronomy  
The effect of the C22 gravity field term on a particle is evaluated analytically over one orbit to find the change in orbit energy and angular momentum as an explicit function of the orbital inclination, argument of pericenter, longitude of the ascending node, orbit parameter and eccentricity. Changes in orbit energy and angular momentum are shown to be proportional to a family of integrals which can be parameterized in terms of eccentricity and non-dimensional pericenter radius.
doi:10.1007/978-94-011-4527-5_34 fatcat:lfyuflz2traejfcvtbhg6dgs4y