A Group of Invariant Equations - viXra

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A Group of Invariant Equations - viXra

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where ra and rb are the positions of particles A and B, va and vb are the velocities of particles A and B, and aa and ab

A Group of Invariant Equations Alejandro A. Torassa Creative Commons Attribution 3.0 License (2014) Buenos Aires, Argentina [email protected]

Abstract In classical mechanics, this paper presents a group of equations, which are invariant under transformations between reference frames.

Group of Invariant Equations If we consider two particles A and B then the group of invariant equations is: (ra − rb ) · (ra − rb ) = invariant (ra − rb ) · (va − vb ) = invariant (va − vb ) · (va − vb ) + (ra − rb ) · (aa − ab ) = invariant where ra and rb are the positions of particles A and B, va and vb are the velocities of particles A and B, and aa and ab are the accelerations of particles A and B.

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