Title

A simplified form for the Hamiltonian and Lagrangian of the spin-independent gravitational two-body system

Document Type

Article

Publication Date

10-1-1976

Abstract

In general, the gravitational two-body Hamiltonian, to order c-2, contains GP2, G (P · r)2, and G2 terms. We have previously shown [4-6] that a proper choice of coordinate system enables one to eliminate the G (P · r)2 term. We now show that, making use of energy conservation, and coordinate transformations, we can eliminate either of the remaining two terms. In particular, we are able to write down a Hamiltonian and a Lagrangian that contain no mixed potential and kinetic terms. © 1976 Plenum Publishing Corporation.

Publication Source (Journal or Book title)

General Relativity and Gravitation

First Page

805

Last Page

808

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