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Hamilton-Jacobi formulation of holonomic constraints
Other Title(s)
صياغة هاملتون-جاكوبي للقيود التامة
Author
Source
Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series
Issue
Vol. 28, Issue 2 (31 Aug. 2013), pp.11-22, 12 p.
Publisher
Mutah University Deanship of Academic Research
Publication Date
2013-08-31
Country of Publication
Jordan
No. of Pages
12
Main Subjects
Abstract AR
درست حركة الأنظمة ذات القيود التامة ضمن إطار طريقة هاملتون-جاكوبي.
فتم الحصول على دالة هاملتون-جاكوبي من خلال إدخال مضاعفات لاغرانج كإحداثيات معممة في اللاغرانجية العادية.
و دلل على هذه الطريقة بنوعين من الأنظمة الإحداثية –الديكارتية و القطبية- بالحصول على معادلات الحركة لجسيم يتحرك في مسار دائري.
Abstract EN
The motion of systems with holonomic constraints is investigated within the framework of Hamilton-Jacobi approach.
The Hamilton-Jacobi function is obtained by introducing the Lagrange multipliers as generalized coordinates into the regular Lagrangian.
The method is illustrated in terms of two coordinate systems – the Cartesian and the polar – by explicitly obtaining the respective equations of motion of a particle in a circular path.
American Psychological Association (APA)
Nawafilah, Khalid Isa. 2013. Hamilton-Jacobi formulation of holonomic constraints. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series،Vol. 28, no. 2, pp.11-22.
https://search.emarefa.net/detail/BIM-348874
Modern Language Association (MLA)
Nawafilah, Khalid Isa. Hamilton-Jacobi formulation of holonomic constraints. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series Vol. 28, no. 2 (2013), pp.11-22.
https://search.emarefa.net/detail/BIM-348874
American Medical Association (AMA)
Nawafilah, Khalid Isa. Hamilton-Jacobi formulation of holonomic constraints. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series. 2013. Vol. 28, no. 2, pp.11-22.
https://search.emarefa.net/detail/BIM-348874
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 22
Record ID
BIM-348874