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Jay Wang , UMass Dartmouth, Dartmouth
Brett Marmaras , UMass Dartmouth, Dartmouth
We investigate the applicability of a modified, symplectic leapfrog method with self-adjusted step-size control to the simulations of few-body Hamiltonian systems, and apply it to the direct calculation of differential precession of Mercury due to general relativity and other planets. We calculate the instantaneous differential precession by tracking the Runge-Lenz vector which also enables us to visualize the precession with in-situ real-time animation. We find the modified leadpfrog method to be highly accurate and efficient, and extremely sensitive. We also find the differential precession is non-monotonic, consisting of prograde and retrograde movements leapfrogging each other, with the net precession being prograde. The precession dynamics can be visualized directly with the simple but effective visualization techniques built in the simulation using visual Python.
Visualization, Accuracy, Vectors, Force, Mathematical model, Standards, Mercury (planets)
Jay Wang, Brett Marmaras, "Simulation and visualization of few-body systems and differential precession of Mercury", Computing in Science & Engineering, , no. 1, pp. 1, PrePrints PrePrints, doi:10.1109/MCSE.2013.73
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