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Simple mappings in mechanics

Published online by Cambridge University Press:  01 August 2016

Drago Bajc
Drago Bajc*
Affiliation:
Pedagoška fakulteta Maribor, Koroška c, 160, 2000 Maribor, Slovenia
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Extract

Consider the motion of a particle of unit mass acted upon by a homogeneous, central, conservative force f(r), where r is the distance between the centre of force and the particle. In this connection, homogeneity means the following property of the force: there exists a constant α such that for every c

Type
Articles
Information
The Mathematical Gazette , Volume 83 , Issue 498 , November 1999 , pp. 421 - 425
Copyright
Copyright © The Mathematical Association 1999

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References

1. French, A. P. The envelopes of some families of fixed-energy trajectories, American Journal of Physics 61 (September 1993) pp. 805–811.Google Scholar