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.

中文翻译：

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抛物线轨道的定义：用代数方程寻找解

摘要-

使用作者提出的方法，基于求解两个无量纲变量的代数方程组，提出了一种算法，用于寻找确定初步抛物线轨道的解。通过使用单纯形的 Nelder-Mead 方法搜索目标函数的最小值，可以找到系统的解。以153P/Ikeya-Zhang彗星的轨道计算结果为例。