Celestial Mechanics and Dynamical Astronomy

, Volume 123, Issue 3, pp 325–349 | Cite as

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

  • A. Fienga
  • J. Laskar
  • P. Exertier
  • H. Manche
  • M. Gastineau
Original Article


In 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 \(\beta \), \(\gamma \), and the oblateness of the Sun J\(_{2}^{\odot }\). Time variations of the gravitational mass of the Sun \(\mu \) 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.


Ephemerides Gravitation PPN parameters Sun’s oblateness 



This work benefited from HPC resources of MesoPSL financed by the Region Ile de France and the project Equip@Meso (reference ANR-10-EQPX-29-01) of the programme Investissements d’Avenir supervised by the Agence Nationale pour la Recherche. The authors thank also Professor Damour for his fruitfull discussions.


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Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  • A. Fienga
    • 1
  • J. Laskar
    • 2
  • P. Exertier
    • 1
  • H. Manche
    • 2
  • M. Gastineau
    • 2
  1. 1.Geoazur, CNRS UMR7329Observatoire de la Côte d’AzurValbonneFrance
  2. 2.IMCCE, CNRS UMR8028ParisFrance

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