http://arxiv.org/abs/1601.04963
Weierstrass elliptic and related functions have been recently shown to enable analytical explicit solutions to classical problems in astrodynamics. These include the constant radial acceleration problem, the Stark problem and the two-fixed center (or Euler’s) problem. In this paper we review the basic technique that allows for these results and we discuss the limits and merits of the approach. Applications to interplanetary trajectory design are then discussed including low-thrust planetary fly-bys and the motion of an artificial satellite under the influence of an oblate primary including $J_2$ and $J_3$ harmonics.
D. Biscani
Wed, 20 Jan 16
30/58
Comments: Presented at the AAS/AIAA Space Flight Mechanics Meeting, Napa, CA in February 14, 2016