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This work presents new expressions for kinetic and potential energies in planet-sun systems, highlighting their dependence on speed.
In this work, we present the new expressions of global effective kinetic, gravitational potential and total energies, obtained in the planet-sun interaction systems, as those given in Equations (4, 5, 6), and enhanced by a new global effective kinetic mass of the planet, as that given in Eq. (1). Some concluding remarks are given as follows. At the low speed v (<< c), c being the light speed, given in the non-relativistic case, they are found to be correct. At v=c, given in the relativistic case, the kinetic energy is found to be equal to: m×c^2×[(2+p)/4], for p>0, and, in particular, for p=2, to: m×c^2, in good accordance with that proposed by Einstein in 1905.[1] m being the rest mass of the planet, as those shown in Tables 2-11, for various planet-sun interaction systems.
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