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arXiv · 2207.11687

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

Martin Lara·Alessandro Masat·Camilla Colombo
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Abstract

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.

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Martin Lara, Alessandro Masat, Camilla Colombo. 2022-07-24. A torsion-based solution to the hyperbolic regime of the J2-problem. https://doi.org/10.1007/s11071-023-08325-w

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