The Formulas for Calculating Surface Gravity and Rotational period of Celestial Bodies and Black Hole in Axial Spherical-Space

Abstract

Xiaozhong Zhai

This paper presents a formula for calculating the average surface gravity of a rotating object, derived from Hoffman-Wellenhof’s definition and modern physics. The formula reveals a constant physical and mathematical relationship between the average surface gravity, average rotational period, total mass, and average radius of a celestial body that rotates around its axis. Consequently, two additional formulas have been developed: one for determining the average rotational period of celestial bodies, such as planets in the Solar system, stars, and neutron stars in the Milky Way system; and another for calculating the rotational period of a black hole. These three formulas are distinguished by their simplicity, precision, and reliability. Furthermore, the theory of axial spherical-space serves as a complement to universal gravitation and relativity in explaining the nature of spin, magnetic fields, and light.

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