2012/07/30 by F. T. Hioe, Hioe, F. T., David Kuebel +1 · 1 citation
Physics and Astronomy · #Advanced Differential Geometry Research #Astrophysical Phenomena and Observations #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.1207.7041
openalex publication_date 2012/07/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
All possible orbital trajectories and their analytical expressions in the Schwarzschild metric are presented in a single complete map characterized by two dimensionless parameters. While three possible pairs of parameters with different advantages are described, the parameter space that gives the most convenient reduction to the Newtonian case is singled out and used which leads to a new insight on Newtonian limits among other results. Numerous analytic relations are presented. A comparison is made with the widely used formulation and presentation given by S. Chandrasekhar.