A New Way to Calculate Gravity Force from Mass Total Energy

This paper introduces a new way to calculate gravity force from mass total energy, instead of from matter of mass. By introducing total energy (E1 and E2) of the two objects into Newton’s gravitational theory, Newton’s gravitational formula can be modified from F = GM₁M₂/r² as F = GE₁E₂/(C⁴r²). E₁ and E₂ are the total energy of the two objects and C is the light speed. Then this formula can be further modified as F = GM₁M₂(1 V²/C² V⁴/(4C⁴))/r². V is the relative speed between the two objects. In order to test this formula, the paper uses it to calculate the Perihelion Precession of Mercury and light deflection near the Sun. The calculation result shows that Modified Newton’s Gravity theory and General Relative theory have the same accuracy to calculate planets orbit and light deflection. It also shows that the gravitational force between two objectives with high relative speed is a bit bigger than that with low relative speed. When this speed is up to light speed, the gravity force is 2.25 times bigger than that with zero speed.