2009/12/30 by F. T. Hioe, David Kuebel
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Classical mechanics #Computer science #General relativity #Geometry #Gravitation #Kerr metric #Mathematical analysis #Mathematics #Metric (unit) #Orbit (dynamics) #Parameter space #Physics #Pulsars and Gravitational Waves Research #Relativity and Gravitational Theory #Schwarzschild metric #Schwarzschild radius #Space (punctuation) #gr-qc
paper · pdf · doi:10.1103/physrevd.81.084017
published as Phys.Rev.D81:084017,2010 · 49 pages total with 11 tables and 10 figures
arxiv created 2009/12/30 · openalex publication_date 2010/04/09 · arxiv updated 2010/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Exact analytic expressions for planetary orbits and light trajectories in the Schwarzschild geometry are presented. A new parameter space is used to characterize all possible planetary orbits. Different regions in this parameter space can be associated with different characteristics of the orbits. The boundaries for these regions are clearly defined. Observational data can be directly associated with points in the regions. A possible extension of these considerations with an additional parameter for the case of Kerr geometry is briefly discussed.