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<p>High order corrections to the perihelion precession are obtained in non-Newtonian central potentials, via complex analysis techniques. The result is an exact series expansion whose terms, for a perturbation of the form, are calculated in closed form. To validate the method, the series is applied to the specific case of s&#xa0;= 3, and the results are compared with those presented in literature, which are relate to the Schwarzschild metric. As a further test, a numerical simulation was carried out for the case where s&#xa0;= 4. The algebraic calculations and numerical simulations were carried out via software with symbolic capabilities.</p>

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Perihelion precession in non-Newtonian central potentials

  • 期刊论文

  • 发表日期：

    2025年4月25日

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  • Michele Andreoli

摘要

High order corrections to the perihelion precession are obtained in non-Newtonian central potentials, via complex analysis techniques. The result is an exact series expansion whose terms, for a perturbation of the form, are calculated in closed form. To validate the method, the series is applied to the specific case of s = 3, and the results are compared with those presented in literature, which are relate to the Schwarzschild metric. As a further test, a numerical simulation was carried out for the case where s = 4. The algebraic calculations and numerical simulations were carried out via software with symbolic capabilities.