# Surfaces of Constant Tisserand Parameter

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The Tisserand parameter is a constant in the frame of the restricted circular three-body problem (RC3BP) given by , where (the ratio of the semimajor axes of the body and planet), is the eccentricity, and is the inclination of the body's orbit with respect to the planet's orbit.

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Contributed by: Tabaré Gallardo (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

It is possible to rearrange in terms of , , and . Given the body's orbital elements, calculate and choose that value in the control; the resulting surface is the possible region in the space which the body can reach after successive encounters with the planet. We assume that the body reaches the planet's orbit and that imposes , , and in units of the RC3BP. See details in Solar System Dynamics.

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