Starting with an entropy that includes volumetric, area and length terms as well as logarithmic contributions, we derive the corresponding modified Newtonian gravity and derive the expression for planetary orbits. We calculate the shift of the perihelion of Mercury to find bounds to the parameters associated to the modified Newtonian gravity. We compare the parameter associated to the volumetric contribution in the entropy-area relationship with the value derived for galactic rotation curves and the value obtained from the cosmological constant.

中文翻译：

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在熵重力的行星轨道上

从包括体积、面积和长度项以及对数贡献的熵开始，我们推导出相应的修正牛顿引力并推导出行星轨道的表达式。我们计算水星近日点的移动，以找到与修正后的牛顿引力相关的参数的界限。我们将熵-面积关系中与体积贡献相关的参数与银河自转曲线得出的值以及从宇宙学常数获得的值进行比较。