Some purely radial motions with drag

✍ Scribed by Abdelkader, Mostafa A.

• Book ID: 104763100
• Publisher: Springer
• Year: 1965
• Tongue: English
• Weight: 256 KB
• Volume: 15
• Category: Article
• ISSN: 0003-6994
• DOI: 10.1007/bf00411543

✦ Synopsis

Some academic results in the field of nonlinear mechanics are here presented. Specifically, exact solutions of the equations of motion for a body moving purely radiMly in nonlinear central fields of force are given, when the drag of the (homogeneous) medium is taken into account. The drag is assumed to be proportional ~o the velocity, and several types of forces, including gravitation, are considered. Next, for a nonhomogeneous atmosphere, we assulne a density function that may represent the earth's atmosphere and a drag law consisting of two terms (linear and cubic in the veloeity), and obtain the solution for a par~ieu]ar case.