A note on the self-consistency of the EIH equations of motion

Details A note on the self-consistency of the EIH equations of motion A note on the self-consistency of the EIH equations of motion

Sep 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990japa...11..291r&link_type=abstract

Journal of Astrophysics and Astronomy (ISSN 0250-6335), vol. 11, Sept. 1990, p. 291-295.

Physics

1

Equations Of Motion, Self Consistent Fields, Three Body Problem, Acceleration (Physics), Roots Of Equations

Scientific paper

A three-body problem, examining the self-consistency of the Einstein-Infeld-Hoffmann (EIH) equations of motion, is discussed. All the bodies are assumed to be static. Two of them are located close to each other and the initial acceleration of the third body and its singularities are studied, while the two bodies are put in various initial positions. It is found that the EIH equations of motion contain some singularities which appear to violate the limiting nature of the gravitational forces and which can be avoided only if the basic assumptions used when deriving the EIH equations are strictly adhered to.

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