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Relativity in Modern Physics$
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Nathalie Deruelle and Jean-Philippe Uzan

Print publication date: 2018

Print ISBN-13: 9780198786399

Published to Oxford Scholarship Online: October 2018

DOI: 10.1093/oso/9780198786399.001.0001

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Dynamics of massive systems

Dynamics of massive systems

Chapter:
(p.59) 6 Dynamics of massive systems
Source:
Relativity in Modern Physics
Author(s):

Nathalie Deruelle

Jean-Philippe Uzan

Publisher:
Oxford University Press
DOI:10.1093/oso/9780198786399.003.0006

This chapter presents the laws of motion of an ensemble of point masses forming a solid body whose shape is invariant, or a fluid whose shape can vary with time. It argues that an ensemble of point masses constitutes a solid if the distances between the points can be assumed constant. The chapter then provides examples of the motions of a solid. Finally, it demonstrates the Euler equations of fluid motion. Here, it states that a perfect fluid is characterized by its (inertial) mass density ρ‎(t, xⁱ), its pressure p(t, xⁱ) which phenomenologically describes its internal collisions, and a velocity field v(t, xⁱ) giving its velocity at xⁱ at time t.

Keywords:   massive systems, laws of motion, point masses, solid bodies, fluid motion, Euler equations, perfect fluid

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