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<p>We employ the Hamilton–Jacobi formalism to find extra constants of motion in several illustrative cases. This simple and consistent methodology avoids sophisticated tricks in the process of constructing constants of motion. This article will be useful to advanced undergraduates studying the basics of classical mechanics.</p>

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Finding Extra Constants of Motion

  • 期刊论文

  • 发表日期：

    2025年5月21日

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  • Vladimir V. Ivchenko

摘要

We employ the Hamilton–Jacobi formalism to find extra constants of motion in several illustrative cases. This simple and consistent methodology avoids sophisticated tricks in the process of constructing constants of motion. This article will be useful to advanced undergraduates studying the basics of classical mechanics.