Relational Mechanics and Implementation of Mach's Principle with Weber’s Gravitational Force

Relational Mechanics • A new mechanics intended to replace newtonian mechanics and also Einstein’s theories of relativity. • It implements Mach’s principle quantitatively based on Weber’s force for gravitation and the principle of dynamical equilibrium. • It explains Newton’s bucket experiment with the concave figure of the water being due to a gravitational interaction between the water and the distant galaxies when in relative rotation. • It is intended for physicists, engineers, mathematicians, historians, philosophers of science and students.