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2008

General post-Minkowskian expansion of time transfer functions

Teyssandier, Pierre, Poncin-Lafitte, Christophe Le

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Modeling most of the tests of general relativity requires to know the function relating light travel time to the coordinate time of reception and to the spatial coordinates of the emitter and the receiver.

We call such a function the reception time transfer function.
Of course, an emission time transfer function may as well be considered.
We present here a recursive procedure enabling to expand each time transfer function into a perturbative series of ascending powers of the Newtonian gravitational constant $G$ (general post-Minkowskian expansion).

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