Integrals of motion for the classical two-body problem with drag |
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| Authors: | DJ Jezewski Don Mittleman |
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| Institution: | Mission Planning and Analysis Division, NASA Lyndon B. Johnson Space Center,Houston, TX 77058, U.S.A.;Department of Mathematics,Oberin College, Oberin, OH 44074, U.S.A. |
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| Abstract: | Integrals of motion for the two-body problem with drag are obtained by operating on the second-order vector differential equation describing the motion. The force field consists of an inverse-square gravitational attraction and a drag force proportional to the velocity vector and inversely proportional to the square of the distance to the attracting center. The developed integrals are the analogs of the Keplerian scalar energy, the vector angular momentum, and the Laplace vector. |
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