Hyperbolic-Type Orbits in the Schwarzschild Metric
F.T. Hioe, David Kuebel
TL;DR
This paper derives exact formulas for hyperbolic orbits in Schwarzschild spacetime and provides a simple approximation for near-Newtonian hyperbolic trajectories.
Contribution
It presents new exact analytic expressions for hyperbolic orbits in Schwarzschild geometry and introduces a simple approximation for small deviations from Newtonian paths.
Findings
Exact formulas for hyperbolic orbits in Schwarzschild metric
A simple approximation for near-Newtonian hyperbolic trajectories
Enhanced understanding of particle motion in curved spacetime
Abstract
Exact analytic expressions for various characteristics of the hyperbolic-type orbits of a particle in the Schwarzschild geometry are presented. A useful simple approximation formula is given for the case when the deviation from the Newtonian hyperbolic path is very small.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Black Holes and Theoretical Physics · Pulsars and Gravitational Waves Research