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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. This Demonstration plots surfaces of constant Tisserand parameters ... in the space ... , where ... . A body encountering the planet must have ... , ... (which means ... ), and ... in units of the RC3BP. As the body encounters the planet, its orbital elements change but conserve ... . The plot shows all possible orbital evolutions for the body for a given value of ... . The boundary between asteroids and comets in the solar system occurs for ... .
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