Rantakivi, Gravitation III – Velocity-dependent force

General relativity gives the orbit of a celestial body as a solution to Euler's equations. The solution is a time-dependent position vector that minimizes the orbital length in curved space. The same Euler equations can also be viewed from another perspective. They can be interpreted as a group of equations for components parallel to the coordinate axes of the acceleration of the body as a function of the velocity and position of the body in a rectilinear Euclidean space. Accelerations can be...