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Constraints on modified Newtonian dynamics theories from radio tracking data of the Cassini spacecraft

A. Hees, W. M. Folkner, R. A. Jacobson, and R. S. Park

  • Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena California 91109, USA

Phys. Rev. D 89, 102002 – Published 13 May, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.102002

Abstract

The modified Newtonian dynamics (MOND) is an attempt to modify the gravitation theory to solve the dark matter problem. This phenomenology is very successful at the galactic level. The main effect produced by MOND in the Solar System is called the external field effect parametrized by the parameter Q2. We have used nine years of Cassini range and Doppler measurements to constrain Q2. Our estimate of this parameter based on Cassini data is given by Q2=(3±3)×1027s2, which shows no deviation from General Relativity and excludes a large part of the relativistic MOND theories. This limit can also be interpreted as a limit on an external tidal potential acting on the Solar System coming from the internal mass of our Galaxy (including dark matter) or from a new hypothetical body.

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