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Lemoine, F.G., Smith, D.E., Rowlands, D.D., Zuber, M.T., Neumann, G.A., Chinn, D.S. and Pavlis, D.E. (2001) An Improved Solution of the Gravity Field of Mars (GMM-2B) from Mars Global Surveyor. Journal of Geophysical Research, 106, 23359-23376.
http://dx.doi.org/10.1029/2000JE001426

has been cited by the following article:

• TITLE: Cumulative Perturbations Affecting a Spacecraft on a Mars Equatorial Orbit from the Waxing and Waning of the Polar Caps of the Planet

  AUTHORS: Jean-Pierre Barriot

  KEYWORDS: Mars’ Length-of-Day, Orbit Perturbations, Floquet’s Theorem

  JOURNAL NAME: Open Access Library Journal, Vol.2 No.12, December 23, 2015

  ABSTRACT: We demonstrate in this paper that periodic variations of the J2 gravity coefficient of a planet induce small cumulative perturbations on a given family of circular equatorial orbits, and that these perturbations could be measurable with current radiosciences technology. For this purpose, we first consider a Poincaré expansion of the Newtonian equations of motion. Then, by using Floquet’s theory, we demonstrate that, unlike the excitation mechanism, the perturbations are non-periodic, and that the orbit is not “stable” in the long-term, with perturbations growing exponentially. We give the full theory and an application to the case of planet Mars.