# Page:SahaSpaceTime.djvu/19

then t may be introduced in such a manner that m may be regarded as fixed, the motion of m is now subjected to the moving-force vector of m alone. If we now modify this given vector by writing ${\displaystyle {\frac {1}{\sqrt {1-{\frac {v^{2}}{c^{2}}}}}}}$ instead of ${\displaystyle {\dot {t}}}$ (${\displaystyle {\dot {t}}=1}$ up to magnitudes of the order ${\displaystyle {\tfrac {1}{c^{2}}}}$), then it appears that Kepler's laws hold good for the position (x1, y1, z1), of m1 at any time, only in place of the time t1, we have to write the proper time τ1 of m1. On the basis of this simple remark, it can be seen that the proposed law of attraction in combination with new mechanics is not less suited for the explanation of astronomical phenomena than the Newtonian law of attraction in combination with Newtonian mechanics.