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- W2129697616 abstract "Two varieties of symplectic integrator, based upon the Wisdom-Holman map for solar system integration (WH) and the Stormer-Verlet method (SV), are formulated for the propagation of space debris trajectories under a simple perturbation model. Computational eciency is examined by using several di↵erent implementations of these integrators to propagate two dissimilar orbits for fifteen thousand periods. The accuracy of a nonsymplectic Bulirsch-Stoer (BS) integrator is matched by a sixth-order SV integrator in one-tenth to one-fifth as much computation time, or by the WH method in one to two orders of magnitude less time provided that perturbations are suciently weak. Further relative gains in eciency are seen for the WH method when a more demanding perturbation model is used. Short-term propagations of a statistical distribution of points show that the symplectic integrators retain similar leads versus the BS method in tracking the mean values of orbital elements closely related to energy, while their advantage is diminished when tracking the inclination, right ascension, and perigee." @default.
- W2129697616 created "2016-06-24" @default.
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- W2129697616 date "2012-08-13" @default.
- W2129697616 modified "2023-10-18" @default.
- W2129697616 title "Computational Efficiency of Symplectic Integrators for Space Debris Orbit Propagation" @default.
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- W2129697616 doi "https://doi.org/10.2514/6.2012-4744" @default.
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