On the use and abuse of Newton's second law for variable mass problems

Details On the use and abuse of Newton's second law for variable mass problems On the use and abuse of Newton's second law for variable mass problems

Sep 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992cemda..53..227p&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 53, no. 3, 1992, p. 227-232. Research supported by CONICET.

Statistics

Computation

8

Newton Second Law, Three Body Problem, Variable Mass Systems, Computational Astrophysics, Many Body Problem, Two Body Problem, Virial Theorem

Scientific paper

Solution techniques for celestial mechanics problems involving bodies of varying mass are considered analytically, emphasizing the fact that Newton's second law is valid only for fixed-mass bodies. In the restricted three-body problem, for example, it is pointed out that the motion of a body losing mass isotropically is unaffected by this loss. Expressions to be substituted in the cases of accretion or ablation are presented, and several recent works in which Newton's law is misused are discussed.

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