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 be of great interest to see if these equations lead to expressions for the orbits of heavenly bodies differing appreciably from those hitherto in use.

Summary.

In this article it has been shown that the Einstein transformation equations, and the other principles of non-Newtonian mechanics, lead to a number of further transformation equations for acceleration, mass, rate of change of mass and force. The transformation equations of force are identical with those chosen by Planck. Two applications of the transformation equations have been given. By combining them with Coulomb’s law, the expected equations have been derived for the force with which an electric charge in uniform motion acts on any other charge, and by combining them with Newton’s law a new expression has been derived for the gravitational force with which a particle in uniform motion acts on another particle.

July 19, 1912.