Published November 1, 2005
| Version v1
Journal article
Alternative perturbation approaches in classical mechanics
- 1. Facultad de Ciencias, Universidad de Colima, Bernal DIaz del Castillo 340, Colima, Colima (Mexico)
- 2. INIFTA (Conicet, UNLP), Blvd. 113 y 64 S/N, Sucursal 4, Casilla de Correo 16, 1900 La Plata (Argentina)
Description
We discuss two alternative methods, based on the Lindstedt-Poincare technique, for the removal of secular terms from the equations of perturbation theory. We calculate the period of an anharmonic oscillator by means of both approaches and show that one of them is more accurate for all values of the coupling constant. We believe that present discussion and comparison may be a suitable exercise for teaching perturbation theory in advanced undergraduate courses on classical mechanics
Availability note (English)
Available online at http://stacks.iop.org/0143-0807/26/1057/ejp5_6_013.pdf or at the Web site for the journal European Journal of Physics (ISSN 1361-6404) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0143-0807/26/1057/ejp5_6_013.pdf; http://www.iop.org/;
- DOI
- 10.1088/0143-0807/26/6/013;
- PII
- S0143-0807(05)99078-8;
Publishing Information
- Journal Title
- European Journal of Physics
- Journal Volume
- 26
- Journal Issue
- 6
- Journal Page Range
- p. 1057-1063
- ISSN
- 0143-0807
- CODEN
- EJPHD4
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36098884
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANHARMONIC OSCILLATORS; CLASSICAL MECHANICS; COMPARATIVE EVALUATIONS; COUPLING CONSTANTS; EDUCATION; EQUATIONS; PERTURBATION THEORY
- Descriptors DEC
- EVALUATION; MECHANICS