Elliptic orbits with a non-Newtonian eccentricity
It is shown that the lowest order general relativistic correction produces elliptic orbits with a non-Newtonian eccentricity.
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arXiv subjects
David Kuebel
Publications and source records attributed to David Kuebel.
Characterization of all possible orbits in the Schwarzschild metric revisited
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.
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Parameter Space for Orbits in the Schwarzschild Metric
Some features of a parametrized space of orbits in the Schwarzschild geometry are described.
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Is a Circular Orbit Possible According to General Relativity?
A new parameter space is used to classify circular orbits in the Schwarzschild metric.
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Hyperbolic-Type Orbits in the Schwarzschild Metric
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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Characterizing Planetary Orbits and the Trajectories of Light
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.
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