A perturbation solution of the main problem in artificial satellite theory
Sagovac, Christopher Patrick
Danielson, Donald A.
Frenzen, Christopher L.
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The main problem of artificial satellite theory is a restricted two body problem in which the Legendre Polynomial representation of the cylindrically symmetric potential contains only the first two terms. A generalized asymptotic expansion is used to obtain a first order approximation. The solution at the critical inclination is seen to be of a different type than at other inclinations. The solution is finite for all eccentricities and inclinations when suitably restricted in time.
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