LATOR Covariance Analysis

Details LATOR Covariance Analysis LATOR Covariance Analysis

2005-05-12

arxiv.org/abs/gr-qc/0505064v4

Class.Quant.Grav. 23 (2006) 309-318

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 3 figures. first revision: minor changes to results. Second revision: additional discussion of orbit modelling and LA

Scientific paper

10.1088/0264-9381/23/2/002

We present results from a covariance study for the proposed Laser Astrometric Test of Relativity (LATOR) mission. This mission would send two laser-transmitter spacecraft behind the Sun and measure the relative gravitational light bending of their signals using a hundred-meter-baseline optical interferometer to be constructed on the International Space Station. We assume that each spacecraft is equipped with a $ < 1.9 \times 10^{-13} \mathrm{m} \mathrm{s}^2 \mathrm{Hz}^{-1/2} $ drag-free system and assume approximately one year of data. We conclude that the observations allow a simultaneous determination of the orbit parameters of the spacecraft and of the Parametrized Post-Newtonian (PPN) parameter $\gamma$ with an uncertainty of $2.4 \times 10^{-9}$. We also find a $6 \times 10^{-9}$ determination of the solar quadrupole moment, $J_2$, as well as the first measurement of the second-order post-PPN parameter $\delta$ to an accuracy of about $10^{-3}$.

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