Издательство: | Книга по требованию |
Дата выхода: | июль 2011 |
ISBN: | 978-6-1313-0321-0 |
Объём: | 96 страниц |
Масса: | 166 г |
Размеры(В x Ш x Т), см: | 23 x 16 x 1 |
High Quality Content by WIKIPEDIA articles! 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.
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