Скачать или смотреть Kepler problem with magnetic dipole for scattering, or spinning object like in Mercury precession

Used notebook: https://community.wolfram.com/groups/...
Abstract: In classical Kepler problem we assume a perfect point travelling in central Newton (gravity) or Coulomb (EM) force, leading to well known analytical solutions with elliptic orbits. However, including fixed rotation (of e.g. spinning planet/star, charged object) or magnetic dipole moment (e.g. of particle) for the central or orbiting object, the situation becomes much more complicated as only one angular momentum is conserved. Resulting Lorentz force bends trajectory, allowing to explain why even free-falling objects do not collide, e.g. electrons cannot fall into nucleus. This basic Kepler correction could allow to better understand e.g. Mercury precession, trajectories around rotating stars, or particle scattering scenarios.