Elementary derivation of the Lense-Thirring precession

Details Elementary derivation of the Lense-Thirring precession Elementary derivation of the Lense-Thirring precession

2008-08-04

arxiv.org/abs/0808.0397v2

Acta Phys.Polon.40:2363-2378,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, somewhat modified, a reference added, to be published in Acta Physica Polonica B

Scientific paper

An elementary pedagogical derivation of the Lense-Thirring precession is given based on the use of Hamilton vector. The Hamilton vector is an extra constant of motion of the Kepler/Coulomb problem related simply to the more popular Runge-Lenz vector. When a velocity-dependent Lorentz-like gravitomagnetic force is present, the Hamilton vector, as well as the canonical orbital momentum are no longer conserved and begin to precess. It is easy to calculate their precession rates, which are related to the Lense-Thirring precession of the orbit.

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