Accelerated Schwarzschild orbits in an external tidal field

Authors

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

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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.