Karatekin, O., Duron, J., Rosenblatt, P., Van Hoolst, T., Dehant, V. and Barriot, J.P. (2005) Mar’s Time-Variable Gravity and Its Determination: Simulated Geodesy Experiments. Journal of Geophysical Research—Planets, 110, E06001.
http://dx.doi.org/10.1029/2004JE002378

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.