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Symmetry reduction for central force problems

Robert McLachlan ; Klas Modin (Institutionen för matematiska vetenskaper, matematik) ; Olivier Verdier
(2015)
[Preprint]

We given an elementary illustration of symmetry reduction for central force problems, drawing phase portraits of the reduced dynamics as the intersection of Casimir and energy level sets in three dimensions. These systems form a classic example of symplectic reduction which can usefully be compared to the more-commonly seen case of the free rigid body.



Denna post skapades 2016-01-11.
CPL Pubid: 230390

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Geometri
Matematisk fysik

Chalmers infrastruktur