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Comments on “Two exact solutions to the general relativistic Binet’s equation”

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Abstract

In their recent manuscript He and Zeng claim that they have solved the general relativistic Binet’s orbit equation using the exp-function method and have obtained two exact solutions useful for theoretical analysis. We argue that the obtained solutions do not satisfy the original differential equation. Moreover, we present the alternative framework for the solution of the general relativistic Binet’s orbit equation.

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Acknowledgements

Financial support from the Lithuanian Science Council under project No. MIP-041/2011 is acknowledged.

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Authors and Affiliations

  1. Department of Applied Mathematics, Kaunas University of Technology, Studentu 50-325, 51368, Kaunas, Lithuania

    Zenonas Navickas

  2. Research Group for Mathematical and Numerical Analysis of Dynamical Systems, Kaunas University of Technology, Studentu 50-222, Kaunas, 51368, Lithuania

    Minvydas Ragulskis

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  1. Zenonas Navickas
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  2. Minvydas Ragulskis
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Correspondence to Minvydas Ragulskis.

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Navickas, Z., Ragulskis, M. Comments on “Two exact solutions to the general relativistic Binet’s equation”. Astrophys Space Sci 344, 281–285 (2013). https://doi.org/10.1007/s10509-012-1338-5

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  • DOI: https://doi.org/10.1007/s10509-012-1338-5

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