Analysis of a function that defines rotational stability of almost symmetric satellite
Abstract:
New analytic expressions of functions Φm(e) introduced by F.L. Chernousko in 1963 are obtained. These expressions give an effective and regular way to calculate the Φm(e) up to value =1.The asymptotics of the Φm(e) as m →∞and e close to one is found. To do it , we applied the saddle point method in the case of junction of a degenerated saddle point and a 4-multiplepole. Tables of the function Φm(e) for lml ≤10 are given.
