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<b>Abstract</b>— <p>An algorithm for finding a solution to determine a preliminary orbit with a very small inclination to the ecliptic plane is proposed. The method proposed by the author is based on solving a system of transcendental equations for three variables. Solutions to the system are found by searching for the minima of the objective function using the Nelder–Mead method for a simplex. As an example, the results of determining the orbit of asteroid 255 447 (2005 YN24) are given.</p>

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Determination of the Preliminary Orbit in the Coplanar Case

  • 期刊论文

  • 发表日期：

    2025年6月23日

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  • V. B. Kuznetsov

摘要

Abstract—

An algorithm for finding a solution to determine a preliminary orbit with a very small inclination to the ecliptic plane is proposed. The method proposed by the author is based on solving a system of transcendental equations for three variables. Solutions to the system are found by searching for the minima of the objective function using the Nelder–Mead method for a simplex. As an example, the results of determining the orbit of asteroid 255 447 (2005 YN24) are given.