Title: Constant of motion, Lagrangian and Hamiltonian of the gravitational attraction of two bodies with variable mass

Author(s): Lopez G (Lopez, G.)

Source: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS 46 (4): 806-816 APR 2007

Document Type: Article

Language: English

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).

Author Keywords: constant of motion; Lagrangian; Hamiltonian; variable mass

KeyWords Plus: DIMENSIONAL AUTONOMOUS SYSTEMS; COMETS; EVOLUTION

Addresses: Lopez G (reprint author), Univ Guadalajara, Dept Fis, Apartado Postal 4-137, Guadalajara 44410, Jalisco Mexico
Univ Guadalajara, Dept Fis, Guadalajara 44410, Jalisco Mexico

E-mail Addresses: gulopez@udgserv.cencar.udg.mx

Publisher: SPRINGER/PLENUM PUBLISHERS, 233 SPRING ST, NEW YORK, NY 10013 USA

Subject Category: Physics, Multidisciplinary

IDS Number: 153JW