Deviation of circular geodesics in static spherically symmetric space-times

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Cosmology, Geodesy, Space-Time Functions, Gravitational Fields, Hamilton-Jacobi Equation, Schwarzschild Metric

Scientific paper

For static spherically symmetric space-times the equations of geodesic
deviation are solved for circular geodesics. The connection between the
solutions obtained and the stability behavior of the geodesics are
discussed. The perihelion shift for test bodies moving on nearly
circular geodesics is also derived.

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