Accelerated Schwarzschild orbits in an external tidal field

Authors

  • Willard Roy D. Alzate National Institute of Physics, University of the Philippines Diliman
  • Michael Francis Ian G. Vega II National Institute of Physics, University of the Philippines Diliman

Abstract

We study the orbit of a point particle in a hierarchical three-body system composed of an extreme mass ratio inner binary, and a distant perturber. The inner binary consists of a Schwarzschild black hole at the center with a test particle orbiting around it. The orbital evolution equations were obtained using the method of osculating orbits, treating the problem as motion along a Schwarzschild geodesic which is then accelerated due to the tidal field of the perturber. We also track the precession of the periastron over long time scales.

Downloads

Issue

Article ID

SPP-2021-PC-08

Section

Poster Session C (Theoretical and Mathematical Physics)

Published

2021-10-05

How to Cite

[1]
WRD Alzate and MFIG Vega, Accelerated Schwarzschild orbits in an external tidal field, Proceedings of the Samahang Pisika ng Pilipinas 39, SPP-2021-PC-08 (2021). URL: https://proceedings.spp-online.org/article/view/SPP-2021-PC-08.