Dhar, Abhishek (1993) Nonuniqueness in the solutions of Newton's equation of motion American Journal of Physics, 61 (1). pp. 58-61. ISSN 0002-9505
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Official URL: http://ajp.aapt.org/resource/1/ajpias/v61/i1/p58_s...
Related URL: http://dx.doi.org/10.1119/1.17411
Abstract
In the case of singular forces, for which some of the higher derivatives do not exist at a given point, it is not generally true that Newton's equations of motion will give unique solutions for given initial conditions. In this paper, the motion of a particle in a one-dimensional conservative force field is considered. The necessary and sufficient conditions that ensure unique solutions are determined.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Institute of Physics. |
| Keywords: | Equations of Motion; Singularity; Initial Conditions; Forces; Classical Mechanics; Differential Equations |
| ID Code: | 79701 |
| Deposited On: | 28 Jan 2012 12:06 |
| Last Modified: | 28 Jan 2012 12:06 |
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