Longitudinal and transverse relativistic dynamics
A very simple calculation in relativistic dynamics show an impressive aspect that differentiates the momentum change due to a force in the direction of movement of the body and the transverse ones. By using the definition of relativistic momentum , we can write by defining the longitudinal and transverse acceleration, with respect to the vector it is simple to show that the first term in the first equation is only longitudinal and the second term is composed of longitudinal and transverse parts Summing the contributions, we can separate the Newton equation with respect to transverse and longitudinal forces, obtaining ...