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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2015, Volume 7, Issue 1, Pages 38–41
(Mi vyurm209)
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Mechanics
Minimization of the flying time of the aerodynamic body in a danger zone
O. L. Arapov, Yu. S. Zuyev National Nuclear Research University MEPhI (Moscow Engineering Physics Institute), Snezhinsk
Abstract:
A method of creating an uncontrolled mechanical trajectory of an aircraft with the aim to reduce the
flying time in a danger zone is offered. The problem is considered in the deterministic setting with
known characteristics of a danger zone.
One of the known measures to increase the probability of overcoming a danger zone (fire, severe
weather conditions, etc.) is the aircraft’s spatial maneuvering.
However, this approach is not applicable for devices that do not have the motor and controls. In this
case implementation of other measures to increase the probability of overcoming danger zones is required. Such a device can be conventionally called an aerodynamic body (AB).
To increase the probability of overcoming a danger zone, it is offered to minimize the flying time of
the aerodynamic body in this zone by forming the corresponding AB trajectory. The trajectory can be
formed by changing initial conditions of AB motion. Initial conditions that determine trajectory parameters include AB speed and the slope of the flight path at the start point of movement.
The solution of the problem is reduced to the determination of initial conditions of the aircraft motion, which provide an increase of probability of overcoming a danger zone. The paper presents the results of a numerical experiment in studying a number of typical trajectories.
Keywords:
aerodynamic body; slope of the flight path; danger zone.
Received: 20.11.2013
Citation:
O. L. Arapov, Yu. S. Zuyev, “Minimization of the flying time of the aerodynamic body in a danger zone”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 7:1 (2015), 38–41
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https://www.mathnet.ru/eng/vyurm209 https://www.mathnet.ru/eng/vyurm/v7/i1/p38
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Abstract page: | 116 | Full-text PDF : | 73 | References: | 35 |
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