Abstract
Under the influence of the sun and moon some of the elements of a satellite orbit undergo small secular and periodic variations. These changes are expressible in terms of the Lagrangian Planetary Equations and are integrable, under certain conditions, to give the mean rates of change of the elements of the orbit over one revolution of the satellite. Subsequent integration gives any secular motions that may exist. Numerical examples show that in general the lunar perturbation is more than twice as large as that of the solar perturbation. However, it is found that the cumulative effect of the periodic variations caused by the sun can often be larger than that caused by the moon because the period of revolution of the earth about the sun is much greater than that of the moon about the earth.
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