Linear emulator approach for bound orbits under the influence of the Paczynski-Wiita potential

  • Marco Immanuel Rivera National Institute of Physics, University of the Philippines Diliman
  • Jose Perico Esguerra National Institute of Physics, University of the Philippines Diliman

Abstract

We studied orbits under the influence of the Paczynski-Wiita pseudo-Newtonian potential. This potential results in a modified Binet equation that is nonlinear. We can approximate this nonlinearity by using the least squares method to produce a linear emulator. We showed that this approximation produces orbits that precesses over time, outperforming the standard linear Taylor series approximation.

Published
2020-09-11
How to Cite
[1]
M. I. Rivera and J. P. Esguerra. Linear emulator approach for bound orbits under the influence of the Paczynski-Wiita potential, Proceedings of the Samahang Pisika ng Pilipinas 38, SPP-2020-5A-04 (2020). URL: https://paperview.spp-online.org/proceedings/article/view/SPP-2020-5A-04.
Section
1F/2G/5A Theoretical and Mathematical Physics (Short Presentations)