On Doppler tracking in cosmological spacetimes

Details On Doppler tracking in cosmological spacetimes On Doppler tracking in cosmological spacetimes

2006-05-12

arxiv.org/abs/gr-qc/0605078v3

Class.Quant.Grav. 23 (2006) 7483-7492

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 1 figure. Journal version

Scientific paper

10.1088/0264-9381/23/24/019

We give a rigorous derivation of the general-relativistic formula for the two-way Doppler tracking of a spacecraft in Friedmann-Lemaitre-Robertson-Walker and in McVittie spacetimes. The leading order corrections of the so-determined acceleration to the Newtonian acceleration are due to special-relativistic effects and cosmological expansion. The latter, although linear in the Hubble constant, is negligible in typical applications within the Solar System.

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