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

Authors

Marco Immanuel Rivera ⋅ PH National Institute of Physics, University of the Philippines Diliman
Jose Perico Esguerra ⋅ PH 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.

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Issue

2020: Proceedings of the 38th Samahang Pisika ng Pilipinas Physics Conference

Shedding light on the pandemic through the lens of physics
Pagtanglaw sa pandemya sa lente ng pisika
19-23 October 2020

This is the first fully online SPP Physics Conference. Please visit the SPP2020 activity webpage for more information on this year's Physics Congress.

Article ID

SPP-2020-5A-04

Section

Theoretical and Mathematical Physics (Short Presentations)

Published

2020-10-19

How to Cite

[1]

MI Rivera and JP 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://proceedings.spp-online.org/article/view/SPP-2020-5A-04.