Relativistic astrometry and time transfer functions

Astronomy and Astrophysics – Astrophysics

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Space Astrometry, Relativity

Scientific paper

Given the extreme accuracy reached by future space astrometry missions, one needs a global relativistic modeling of observations. Indeed, a consistent definition of the astrometric observables in the context of General Relativity is essential to find unique stellar coordinates. This is usually done explicitly by solving the null geodesic equations which describe the trajectory of a photon from its emission by a celestial object to its reception by a moving observing satellite. However, we show here that this task can be avoided if one uses the recently developed formalism of the time transfer functions. We describe a possible approach to the reconstruction of the source coordinates from the knowledge of the reception coordinates with this new method.

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