The angular momentum in the classical anisotropic Kepler problem

dc.creator	Emilio Cortés
dc.date	2008-05-01T00:00:00Z
dc.date.accessioned	2015-07-20T22:51:11Z
dc.date.available	2015-07-20T22:51:11Z
dc.identifier	1870-9095
dc.identifier	https://doaj.org/article/a4bd7388bd584c0483d3c2afbfbba379
dc.identifier.uri	http://evidence.thinkportal.org/handle/123456789/23750
dc.description	The behavior of the angular momentum of the two dimensional isotropic Kepler Problem (AKP) is addressed. We find here ourselves, from the point of view of physics didactics, with a classical mechanics ``simple" problem that should be carefully analyzed from the outset. Taking into account that the angular momentum varies with time due to an ``inertial torque", we are still allowed to restrict the problem to a two dimensional motion, and then, being theangular momentum in this restricted case, a one-dimensional variable, we study how its behavior can describe the dynamics of this chaotic system. The approach to this problem through the angular momentum, to our knowledge, has not been reported in the literature. We investigate, from a numerical solution of the equations of motion, different features of this quantity and obtain a return plot for the angular momentum, as well as some phase space diagrams for the torque vs. angular momentum, for different values of the anisotropy parameter, by using a Poincare surface section.
dc.language	English
dc.language	Spanish
dc.language	Portuguese
dc.publisher	Instituto Politécnico Nacional, Latin American Physics Education Network
dc.relation	http://journal.lapen.org.mx/may08/LAJPE%20156F%20Emilio.pdf
dc.relation	https://doaj.org/toc/1870-9095
dc.source	Latin-American Journal of Physics Education, Vol 2, Iss 2, Pp 165-169 (2008)
dc.subject	anisotropic Kepler problem
dc.subject	chaos
dc.subject	Special aspects of education
dc.subject	LC8-6691
dc.subject	Education
dc.subject	L
dc.subject	DOAJ:Education
dc.subject	DOAJ:Social Sciences
dc.subject	Special aspects of education
dc.subject	LC8-6691
dc.subject	Education
dc.subject	L
dc.subject	DOAJ:Education
dc.subject	DOAJ:Social Sciences
dc.subject	Special aspects of education
dc.subject	LC8-6691
dc.subject	Education
dc.subject	L
dc.subject	Special aspects of education
dc.subject	LC8-6691
dc.subject	Education
dc.subject	L
dc.subject	Special aspects of education
dc.subject	LC8-6691
dc.subject	Education
dc.subject	L
dc.title	The angular momentum in the classical anisotropic Kepler problem
dc.type	article