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Jacobi’s integral

Most numerical exploration of periodic solutions have in fact been carried out in the restricted problem of three bodies, the simplified version in which the mass, m2, of the body P2 is considered to be too small for it to influence the motion of the bodies l ) and Pi, but remains fully influenced by the gravitational attraction of them. This system can be reached from the general three-body problem by a limiting process in which m2 tends to zero, after the factor m2 has been cancelled from the equation of motion for P2. But it is more usual for its equations of motion to be derived from first principles. It possesses a single integral of motion, Jacobi s integral, which is usually derived from first principles from its... [Pg.82]


See other pages where Jacobi’s integral is mentioned: [Pg.83]    [Pg.87]    [Pg.91]   
See also in sourсe #XX -- [ Pg.23 ]




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Jacobi integral

Jacoby

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