A torsion-based solution to the hyperbolic regime of the J2-problem

Autor:	Lara, Martin, Masat, Alessandro, Colombo, Camilla
Rok vydání:	2022
Předmět:	Mathematics - Dynamical Systems Astrophysics - Earth and Planetary Astrophysics Nonlinear Sciences - Exactly Solvable and Integrable Systems
Druh dokumentu:	Working Paper
DOI:	10.1007/s11071-023-08325-w
Popis:	A popular intermediary in the theory of artificial satellites is obtained after the elimination of parallactic terms from the J2-problem Hamiltonian. The resulting quasi-Keplerian system is in turn converted into the Kepler problem by a torsion. When this reduction process is applied to unbounded orbits the solution is made of Keplerian hyperbolae. For this last case, we show that the torsion-based solution provides an effective alternative to the Keplerian approximation customarily used in flyby computations. Also, we check that the extension of the torsion-based solution to higher orders of the oblateness coefficient yields the expected convergence of asymptotic solutions to the true orbit. Comment: 10 pages, 7, figures, submitted to Nonlinear Dynamics
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2207.11687 Zobrazit plný text záznamu View this record from Arxiv