UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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2024-11-23 18:34

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Conference: Bucharest University Faculty of Physics 2016 Meeting


Section: Theoretical Physics and Applied Mathematics


Title:
Motion regularities of a ballistic gravitational pendulum


Authors:
S. MICLUTA-CAMPEANU, T. O. CHECHE


Affiliation:
Faculty of Physics, University of Bucharest


E-mail
tiberiuscheche@yahoo.com


Keywords:
gravitational pendulum, velocity Verlet algorithm, long time evolution, band structure


Abstract:
The motion of a gravitational pendulum, which changes the motion type from oscillatory to ballistic is simulated. Simulation is based on a velocity Verlet algorithm that is implemented in a numerical code. The motion is simulated as function of the initial amplitude and damping.


References:

1. Breiter, S., Fouchard, M., Ratajczak, R., Borczyk, W.: Two fast integrators for the galactic tide effects in the oort cloud. Mon. Not. R. Astron. Soc. 377(3), 1151–1162 (2007)

2. Cieslinski, J.L., Ratkiewicz, B.: Long-time behaviour of discretizations

of the simple pendulum equation. J. Phys. A: Math. Theor. 42(10), 105,204 (2009)

3. Farrés, A., Laskar, J., Blanes, S., Casas, F., Makazaga, J., Murua, A.: High precision symplectic integrators for the solar system. Celest. Mech. Dyn. Astron. 116(2), 141–174 (2013)