On the straightforward perturbation theory in classical mechanics

dc.creatorAmore, Paolo
dc.creatorFernández, Francisco Marcelo
dc.date.accessioned2020-03-17T19:28:04Z
dc.date.accessioned2022-10-15T09:12:40Z
dc.date.available2020-03-17T19:28:04Z
dc.date.available2022-10-15T09:12:40Z
dc.date.created2020-03-17T19:28:04Z
dc.date.issued2018-06
dc.identifierAmore, Paolo; Fernández, Francisco Marcelo; On the straightforward perturbation theory in classical mechanics; IOP Publishing; European Journal of Physics; 39; 5; 6-2018
dc.identifier0143-0807
dc.identifierhttp://hdl.handle.net/11336/99895
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4369010
dc.description.abstractWe 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.
dc.languageeng
dc.publisherIOP Publishing
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1088/1361-6404/aac358
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1361-6404/aac358
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectANHARMONIC OSCILLATOR
dc.subjectLINDSTEDT-POINCARE
dc.subjectPERTURBATION THEORY
dc.subjectSECULAR TERMS
dc.titleOn the straightforward perturbation theory in classical mechanics
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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