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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-23 18:32 |
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Conference: Bucharest University Faculty of Physics 2023 Meeting
Section: Physics Education
Title:
An analytical approach to Kepler's problem
Authors:
Mihai DRAGOMIR(1)
Affiliation:
1) Faculty of Physics, University of Bucharest
E-mail
mihai.dragomir@s.unibuc.ro
Keywords:
analytical mechanics, Kepler's problem, simulations
Abstract:
In this presentation I shall do a compared study of the four methods used in Analytical Mechanics - Lagrangian, Hamiltonian, Routh's Method and Poisson Brackets - by solving a classic example in Newtonian Mechanics: Kepler's Problem. After a short introduction into the problem itself, we discuss each formalism and consider numerical simulations of well-known orbital systems.
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