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Research report: DEIM-RR-07-004

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DEIM-RR-07-004 (238.4Kb)
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Title

Is it possible to solve the dynamics problem inside the configuration space?

Author/s

Rafael Ramírez, Natalia Sadovskaia

Date

30-09-2007

Research team

--

Research report type

Recerca

Language

English

Number of pages

46

Summary

In the history of mechanics, there have been two points of view for studying mechanical systems: The Newtonian and the Cartesian. A main achievement of Newton was perceiving that the dynamics of the real system are prescribed by second-order di®erential equations. To reduce the equations of motion to the investigation of dynamic system it is necessary to double the dimension of the position space and to introduce the auxiliary phase space.However, we are interested not in the phase trajectories themselves but in their projection on the configuration space. [...]

Keywords

Non-holonomic systems, Cartesian approach, Newtonian approach, constraint, differential equation, La