Calculation of the pursuit curve length

Ludmila I. Kuzmina; Osipov Yuri V.

Article

Calculation of the pursuit curve length

International Journal for Computational Civil and Structural Engineering. 2013. Vol. 9. No. 3. P. 31-39.

Ludmila I. Kuzmina, Osipov Y. V.

A classic pursuit problem is considered in which the pursuer is always moving towards the target. The shape of the mechanical trajectory is established, and the time of motion is calculated. An integral for the length of the pursuit curve is constructed, its asymptotics is calculated and compared with the result of the numerical computation.

Priority areas: mathematics engineering science

Language: English

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Keywords: pursuit curve motion trajectory asymptotics

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