Based on the new developped planetary ephemerides INPOP13c, determinations of
acceptable intervals of General Relativity violation in considering
simultaneously the PPN parameters $\beta$, PPN $\gamma$, the flattening of the
sun $J_{2}^\odot$ and time variation of the gravitational mass of the sun $\mu$
are obtained in using Monte Carlo simulation coupled with basic genetic
algorithm. Possible time variations of the gravitational constant G are also
deduced. Discussions are lead about the better choice of indicators for the
goodness-of-fit for each run and limits consistent with general relativity are
obtained simultaneously.Comment: submitte

Exertier, P.

Fienga, A.

Gastineau, M.

Laskar, J.

Manche, H.

English

arXiv

A. Fienga

J. Laskar

P. Exertier

H. Manche

M. Gastineau

Crossref

Celestial Mechanics and Dynamical Astronomy

Numerical estimation of the sensitivity of INPOP planetary ephemerides to general relativity parameters

International audienceIn this paper, are given numerical estimations of the sensitivity of the latest version of the INPOP planetary ephemerides (INPOP13c) to GR parameters: the PPN parameters β, γ, and the oblateness of the Sun J⊙2. Time variations of the gravitational mass of the Sun μ are also considered. A first estimation is obtained by fitting these parameters with the classic method of least squares to planetary observations together with other parameters used for planetary ephemeris construction. A second approach is investigated using a new method of construction of alternative ephemerides. They are based on the same dynamical modeling and observational samples but in a non-GR framework with non-zero or non-unity GR parameters. Some alternative ephemerides are found to be close to INPOP13c and acceptable intervals of GR parameters are then defined at the light of the present INPOP13c accuracy. These intervals are compared with the one obtained with the direct least square estimation and with those extracted from the literature. No violation of GR is at this point noticeable

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Numerical estimation of the sensitivity of INPOP planetary ephemerides to general relativity parameters,

Tests of General relativity with planetary orbits and Monte Carlo simulations

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