Pedal coordinates, solar sail orbits, Dipole drive and other force problems

Pedal coordinates provide a natural framework for studying force problems of classical mechanics in the plane. The trajectory test particle under influence central and Lorentz-like forces can be translated into pedal at once without need solving any differential equation. We generalize this result to cover more general laws also show advantage certain variational problems. These enable us link together many dynamical systems as well calculus variation. Finally, we apply these results compute orbits Solar sail Dipole drive.