Extension of the Mac-Millan's equations to nonlinear nonholonomic mechanical systems (Q1069326)
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scientific article; zbMATH DE number 3934456
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extension of the Mac-Millan's equations to nonlinear nonholonomic mechanical systems |
scientific article; zbMATH DE number 3934456 |
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Extension of the Mac-Millan's equations to nonlinear nonholonomic mechanical systems (English)
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1984
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The paper deals with the equations of motion for nonlinear nonholonomic systems. Via Jourdain's principle the Mac-Millan formulation is generalized to such problems. The equivalence between the resulting equations and generalized Chaplygin's equations is shown. The application of the equations is illustrated by an example: threedimensional Keplerian motion subject to the constraint: constant kinetic energy.
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nonlinear nonholonomic constraints
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nonlinear nonholonomic systems
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Jourdain's principle
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Mac-Millan formulation
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generalized Chaplygin's equations
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threedimensional Keplerian motion
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constant kinetic energy
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0.8499191999435425
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0.8355594277381897
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0.8222945332527161
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0.8169870972633362
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0.8103962540626526
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