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Physical model, theoretical aspects and applications of the flight of a ball in the atmosphere. Part I: Modelling of forces and torque, and theoretical prospects

✍ Scribed by P. M. Fuchs

Publisher
John Wiley and Sons
Year
1991
Tongue
English
Weight
639 KB
Volume
14
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

A model of the forces and the torque operating on a ball that is flying with rotation in the atmosphere of the Earth, and the resulting system of ordinary differential equations, are derived from mechanics and aerodynamics.

The system of equations allows the theoretical aspects of the flight of a ball, such as the boundedness of its kinetic energy, the curvature of the orbit or the velocity function, to be investigated using certain transformations of the variables.

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

πŸ“œ SIMILAR VOLUMES

Physical model, theoretical aspects and
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
✍ P. M. Fuchs πŸ“‚ Article πŸ“… 1991 πŸ› John Wiley and Sons 🌐 English βš– 859 KB

## 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 c