Radial-velocity curves of eccentric orbits in general relativity

Astronomy and Astrophysics – Astronomy

Scientific paper

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Eccentric Orbits, Orbital Elements, Orbital Mechanics, Radial Velocity, Red Shift, Relativity, Black Holes (Astronomy), Neutron Stars, Relativistic Velocity

Scientific paper

We investigate the general-relativistic radial-velocity (RV) curve of a source orbiting around a compact object (e.g., neutron star, black hole), Our results show a big difference between the classical and relativistic RV-curves. The intrinsic orbital parameters (eccentricity, longitude of periastron, periastron advance, etc.) of the source differ systematically from their apparent values obtained from classical analysis of the relativistic curve. These effects must be taken into account when the orbiting source is in a strong gravitational field. It may, in turn, provide a serious opportunity to test general relativistic effects.

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