arXiv subjects

Denis Hautesserres

Publications and source records attributed to Denis Hautesserres.

3 recordsLinked to original sources

arXiv2019

The solution of the Generalized Kepler's equation

In the context of general perturbation theories, the main problem of the artificial satellite analyses the motion of an orbiter around an Earth-like planet, only perturbed by its equatorial bulge or J2 effect. By means of a Lie transform and the Krylov-Bogoliubov-Mitropolsky method, a first-order theory in closed form of the eccentricity is produced. During the evaluation of the theory it is necessary to solve a generalization of the classical Kepler's equation. In this work, the application of a numerical technique and three initial guesses to the Generalized Kepler's equation are discussed.

physics.space-ph↗

arXiv2018

HEOSAT: A mean elements orbit propagator program for Highly Elliptical Orbits

The algorithms used in the construction of a semi-analytical propagator for the long-term propagation of Highly Elliptical Orbits (HEO) are described. The software propagates mean elements and include the main gravitational and non-gravitational effects that may affect common HEO orbits, as, for instance, geostationary transfer orbits or Molniya orbits. Comparisons with numerical integration show that it provides good results even in extreme orbital configurations, as the case of SymbolX.

astro-ph.EP↗

arXiv2016

Intermediary LEO propagation including higher order zonal harmonics

Two new intermediary orbits of the artificial satellite problem are proposed. The analytical solutions include higher order effects of the Geopotential, and are obtained by means of a torsion transformation applied to the quasi-Keplerian system resulting after the elimination of the parallax simplification, for the first intermediary, and after the elimination of the parallax and perigee simplifications, for the second one. The new intermediaries perform notably well for low earth orbits propagation, are free from special functions, and result advantageous, both in accuracy and efficiency, when compared to the standard Cowell integration of the J2 problem, thus providing appealing alternatives for onboard, short-term, orbit propagation under limited computational resources.

math.DS↗