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Definition of a Parabolic Orbit: the Search for a Solution with Algebraic Equations

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Abstract—

An algorithm is proposed for finding a solution for determining a preliminary parabolic orbit, using the method proposed by the author, based on solving a system of algebraic equations for two dimensionless variables. The solutions of the system are found by searching for the minima of the objective function using the Nelder‒Mead method using a simplex. As an example, the results of determining the orbit of comet 153P/Ikeya‒Zhang are given.

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  1. Institute of Applied Astronomy, Russian Academy of Sciences, St. Petersburg, Russia

    V. B. Kuznetsov

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  1. V. B. Kuznetsov
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Correspondence to V. B. Kuznetsov.

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Kuznetsov, V.B. Definition of a Parabolic Orbit: the Search for a Solution with Algebraic Equations. Sol Syst Res 55, 358–366 (2021). https://doi.org/10.1134/S0038094621030035

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