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Conditions of plane orbits in classical and relativistic fields

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Summary

We have discovered the most general classical field of force for which the orbit of a test-particle is invariably plane. If the relativistic equations of a test-particle are interpreted in the classical sense, a general result is obtained, of which a particular case accounts for the orbit of Mercury being plane even according to relativists.

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References

  1. Bergmann, P. G.Introduction to the theory of Relativity, 1942, 11.

  2. Tolman, R. C.Relativity, Thermodynamics and Cosmology, 1934, 208.

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Authors and Affiliations

  1. Department of Mathematics, Benares Hindu University, India

    V. V. Narlikar & K. R. Karmarkar

Authors
  1. V. V. Narlikar
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  2. K. R. Karmarkar
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Narlikar, V.V., Karmarkar, K.R. Conditions of plane orbits in classical and relativistic fields. Proc. Indian Acad. Sci. (Math. Sci.) 24, 451 (1946). https://doi.org/10.1007/BF03171383

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  • DOI: https://doi.org/10.1007/BF03171383

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