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Parametrized post-post-Newtonian (PP2N) formalism for the solar system

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Abstract

An extension of the parametrized post-Newtonian (PPN) formalism to third order in the expansion parameterm/r is used to derive analytical expressions accurate to the same order for the motion of test particles and photons in the presence of the gravitational field of the sun represented by a static, isotropic metric. The consequences of including higher-order terms are discussed in relation to the so-called classical gravitational tests for the case of general relativity theory. Present observational or experimental data are not accurate enough to detect variations due to the inclusion of higher-order terms but a planned solar probe experiment may provide information that would make such detection possible.

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  1. A. F. Sarmiento

    Present address: Instituto de Astronomía, Universidad Nacional Autónoma de México, Apartado Postal 70-264, México 20, D.F., México

Authors and Affiliations

  1. Department of Applied Mathematics, Queen Mary College, University of London, Mile End Road, E1 4NS, London, UK

    A. F. Sarmiento

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  1. A. F. Sarmiento
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Sarmiento, A.F. Parametrized post-post-Newtonian (PP2N) formalism for the solar system. Gen Relat Gravit 14, 793–805 (1982). https://doi.org/10.1007/BF00756090

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