Abstract
We outline a variational approach, developed to find periodic orbits of the satellite in the elliptic restricted problem with any value of the masses of the primaries. This approach leads to a multiplicity of generalized periodic solutions (namely solutions x which satisfy a boundary condition: x(T) = x(0) and which possibly experience collisions). Those solutions are uniform limits of classical periodic solutions, having a prescribed rotational behaviour with respect to the primaries, of some suitable approximating problems.
Partially supported by G.N.F.M. — C.N.R.
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© 1991 Plenum Press, New York
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Bertotti, M.L. (1991). Periodic Solutions for the Elliptic Planar Restricted Three-Body Problem: A Variational Approach. In: Roy, A.E. (eds) Predictability, Stability, and Chaos in N-Body Dynamical Systems. NATO ASI Series, vol 272. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5997-5_40
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DOI: https://doi.org/10.1007/978-1-4684-5997-5_40
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-5999-9
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