On the straightforward perturbation theory in classical mechanics
Amore, Paolo; Fernández, Francisco Marcelo; On the straightforward perturbation theory in classical mechanics; IOP Publishing; European Journal of Physics; 39; 5; 6-2018
Fernández, Francisco Marcelo
We show that it is possible to extract useful information from the straightforward perturbation theory in classical mechanics. Although the secular terms make the perturbation series useless for large times, these expansions yield the perturbation corrections for the period exactly and may even be useful for sufficiently short times. We think that the present analysis may be suitable for an advanced undergraduate course on classical mechanics.