Second-Order Solution for Relative Motion on Eccentric Orbits in Curvilinear Coordinates

Autor:	Willis, Matthew, Alfriend, Kyle T., D'Amico, Simone
Rok vydání:	2019
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	A new, second-order solution in curvilinear coordinates is introduced for the relative motion of two spacecraft on eccentric orbits. The second-order equations for unperturbed orbits are derived in spherical coordinates with true anomaly as the independent variable, and solved by the method of successive approximations. A comparison of error trends against eccentricity and inter-spacecraft separation is presented between the new solution and prominent Cartesian, curvilinear, and orbital element based solutions from the literature. The second-order curvilinear solution offers a thousand-fold improvement in accuracy over the first-order curvilinear solution, and still greater improvement over first- and second-order rectilinear solutions when large along-track separations are present. Comment: Presented at 2019 AAS/AIAA Astrodynamics Specialist Conference
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1909.02146 Zobrazit plný text záznamu View this record from Arxiv