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dc.contributor.author
Prato, Domingo Pedro  
dc.contributor.author
Hamity, Victor Hugo  
dc.date.available
2020-09-23T19:04:09Z  
dc.date.issued
2005-12  
dc.identifier.citation
Prato, Domingo Pedro; Hamity, Victor Hugo; Uniform function constants of motion and their first-order perturbation; IOP Publishing; European Journal of Physics; 26; 3; 12-2005; 391-399  
dc.identifier.issn
0143-0807  
dc.identifier.uri
http://hdl.handle.net/11336/114667  
dc.description.abstract
The main purpose of this work is to present some uniform functions constant of the motion, either than the well known quantities arising from spacetime symmetries. These constants are usually associated with intrinsic characteristic of the trajectories of a particle in a central potential field. We treat two cases. The first one is the Lenz vector which sometimes is found in the literature[1, 2]; the other case is associated with the isotropic harmonic oscillator, of relative importance in some simple models of classical molecular interaction. The first example is applied to describe the perturbation of the trajectories in the Rutherford scattering and the precession of the Keplerian orbit of a planet. In the other case the conserved quantity is a symmetric tensor. We find the eigenvectors and eigenvalues of that tensor while at the same time we obtain the solution to the problem of calculating the rotation rate of the orbits in first order of a perturbation parameter in the potential energy, by performing a simple coordinate transformation in the Cartesian plane. We think that the present work addresses to many aspects of Mechanics with a didactical interest in other Physics or Mathematics courses.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
IOP Publishing  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject.classification
Otras Ciencias Físicas  
dc.subject.classification
Ciencias Físicas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Uniform function constants of motion and their first-order perturbation  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2020-09-21T14:48:54Z  
dc.identifier.eissn
1361-6404  
dc.journal.volume
26  
dc.journal.number
3  
dc.journal.pagination
391-399  
dc.journal.pais
Reino Unido  
dc.description.fil
Fil: Prato, Domingo Pedro. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina  
dc.description.fil
Fil: Hamity, Victor Hugo. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.journal.title
European Journal of Physics  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/0143-0807/26/3/006/meta