197(5): Elliptical Orbit from Spacetime Torsion

This note introduces a completely new approach to the elliptical orbit by basing it on a constant angular momentum proportional to torsion in eq. (1), which produces an inverse square law (4) for torsion. The force form is then defined as in eq. (5), and the seventeenth century idea of force of attraction replaced by the idea of spacetime torsion. The ellipse is then derived from the definition (1). Finally the classical idea of angular momentum is made compatible with the analysis by using the idea that rotation clockwise of a vector with axes fixed (the classical idea), is equivalent to keeping the vector fixed and rotating the axes anticlockwise, (the idea of the connection). The lagrangian (20) is due to the constant angular momentum, and does not have a potential energy, it is pure kinetic. The ellipse is due to the torsion of spacetime itself. This theory does not use the flawed idea of centrifugal force counterbalancing a force of attraction. It has none of the fatal flaws of Einsteinian general relativity. This is my latest thinking on general relativity. So this note gives a basis for the derivation of orbits of various kinds from torsion, a main aim of ECE theory. It tries to go beyond the mere paramaterization of an orbit and working back to a force law. The basic idea therefore is that spacetime torsion produces all orbits. The torsion is no longer constant, and gives the field equations, but the total angular momentum is constant. The angular velocity is recognized as c multiplied by a torsion magnitude. So torsion magnitude is angular velocity divided by c. The next notes will deal with non elliptical orbits, notably the precessing elliptical orbit. None of Einstein’s ideas are used any longer and none of Newton’s ideas.


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