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An infinite system with gravitation

Jon Pérez Laraudogoitia

pp. 339-346

Abstract

The paper shows a new example of nonuniqueness of the solutionto Newtonian equations of motion for infinite gravitational systems. Unlike otherexamples, the gravitational field presents no singularity, nor are the non-gravitational forcesintroduced in the model singular (in particular, there are no collisions). The result is also ofinterest because it points to an interesting limitation of the elementary (Newtonian) formulationof classical mechanics.

Publication details

Published in:

(2003) Synthese 135 (3).

Pages: 339-346

DOI: 10.1023/A:1023521907716

Full citation:

Pérez Laraudogoitia Jon (2003) „An infinite system with gravitation“. Synthese 135 (3), 339–346.