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- Chaplygin_problem abstract "In mathematics, particularly in the fields of nonlinear dynamics and the calculus of variations, the Chaplygin problem is an isoperimetric problem with a differential constraint. Specifically, the problem is to determine what flight path an airplane in a constant wind field should take in order to encircle the maximum possible area. The airplane is assumed to be constrained to move in a plane, moving at a constant airspeed v, and the wind is assumed to move in a constant direction with speed w.The solution of the problem is that the airplane should travel in an ellipse whose eccentricity is w/v.".
- Chaplygin_problem wikiPageID "15510395".
- Chaplygin_problem wikiPageLength "1362".
- Chaplygin_problem wikiPageOutDegree "8".
- Chaplygin_problem wikiPageRevisionID "697870819".
- Chaplygin_problem wikiPageWikiLink Airspeed.
- Chaplygin_problem wikiPageWikiLink Calculus_of_variations.
- Chaplygin_problem wikiPageWikiLink Category:Calculus_of_variations.
- Chaplygin_problem wikiPageWikiLink Constraint_(mathematics).
- Chaplygin_problem wikiPageWikiLink Derivative.
- Chaplygin_problem wikiPageWikiLink Ellipse.
- Chaplygin_problem wikiPageWikiLink Mathematics.
- Chaplygin_problem wikiPageWikiLink Nonlinear_system.
- Chaplygin_problem wikiPageWikiLinkText "Chaplygin problem".
- Chaplygin_problem wikiPageUsesTemplate Template:Cite_book.
- Chaplygin_problem wikiPageUsesTemplate Template:Cite_journal.
- Chaplygin_problem wikiPageUsesTemplate Template:Mathapplied-stub.
- Chaplygin_problem subject Category:Calculus_of_variations.
- Chaplygin_problem hypernym Problem.
- Chaplygin_problem type Disease.
- Chaplygin_problem type Physic.
- Chaplygin_problem comment "In mathematics, particularly in the fields of nonlinear dynamics and the calculus of variations, the Chaplygin problem is an isoperimetric problem with a differential constraint. Specifically, the problem is to determine what flight path an airplane in a constant wind field should take in order to encircle the maximum possible area.".
- Chaplygin_problem label "Chaplygin problem".
- Chaplygin_problem sameAs Q5073246.
- Chaplygin_problem sameAs m.03mcr_r.
- Chaplygin_problem sameAs Q5073246.
- Chaplygin_problem wasDerivedFrom Chaplygin_problem?oldid=697870819.
- Chaplygin_problem isPrimaryTopicOf Chaplygin_problem.