Constant of Motion,Lagrangian and Hamiltonian of the Gravitational Attraction of Two Bodies with Variable Mass |
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Authors: | G López |
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Institution: | (1) Departamento de Física de la Universidad de Guadalajara, Apartado Postal 4-137, 44410 Guadalajara, Jalisco, México |
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Abstract: | The Lagrangian, the Hamiltonian and the constant of motion of the gravitational attraction of two bodies when one of them
has variable mass is considered. The relative and center of mass coordinates are not separated, and choosing the reference
system in the body with much higher mass, it is possible to reduce the system of equations to 1-D problem. Then, a constant
of motion, the Lagrangian, and the Hamiltonian are obtained. The trajectories found in the space position-velocity,(x,v), are qualitatively different from those on the space position-momentum,(x,p).
PACS numbers: 03.20.+i |
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Keywords: | constant of motion Lagrangian Hamiltonian variable mass |
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