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Resonant stability and its criterion for the orbits around the sphere of influence

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This paper discusses the stability of the pseudo orbit, which flies outside of the sphere of influence of the secondary body in the Circular Restricted Three-Body Problem and has the same semi-major axis as the secondary body and a small eccentricity. The whole aspect of the stability of the inclined pseudo orbit is resolved for the first time by both examination using virtual energy and reduction to Mathieu's equation.

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Advances in the Astronautical Sciences

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