✦ LIBER ✦

Physical model, theoretical aspects and applications of the flight of a ball in the atmosphere. Part II: Theoretical aspects in the case of vertical angular frequency and applications

✍ Scribed by P. M. Fuchs

Publisher: John Wiley and Sons
Year: 1991
Tongue: English
Weight: 859 KB
Volume: 14
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1670140703

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✦ Synopsis

Abstract

If a ball is viewed as a rigid body, its flight in the atmosphere can be described by a system of six ordinary differential equations, which has been derived in the first part of this paper.

In this following second part, the theoretical aspects such as the curvature of the orbit and certain velocity functions will be investigated in the case of the vertical angular frequency of the rotating ball, in which the differential equations reduce to a planar dynamical system. This system turns out to be not explicity solvable.

The solutions of the corresponding ordinary or boundary value problems. computed numerically, are used to treat certain problems in international ball games. for example, the maximum and minimum velocities of a volleyball service.

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