“…(12) and (13) constitute an approximation, because λ¯0, λ¯f , andā are replaced by λ 0 , λ f , and a c , respectively, in deriving Eqs. (12) and (13). This assumption is valid because the longitude change caused by the J 22 perturbation is still small relative to the total longitude change, and the semimajor axis change is also small compared to the synchronous semimajor axis of the GEO.…”