Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-14T07:40:37.619Z Has data issue: false hasContentIssue false
  • English
  • Français

On Newtonian Frames of Reference

Published online by Cambridge University Press:  03 November 2016

W.H. McCrea
Get access Rights & Permissions [Opens in a new window]

Extract

A paradox connected with the idea of a uniform field of force is recalled. The main purpose is to discuss frames of reference in the gravitational fields of systems originally studied by Milne and McCrea in developing their “newtonian cosmology” It is shown that a frame moving with any particle of the material of such a system serves as a newtonian frame for the description of mechanical phenomena throughout a region that may be taken to be arbitrarily large and that a frame of such a sort is the nearest approach possible in the system to the realization of a local newtonian frame ; any two such frames are nevertheless in mutually accelerated motion.

Type
Research Article
Information
The Mathematical Gazette , Volume 39 , Issue 330 , December 1955 , pp. 287 - 291
Copyright
Copyright © The Mathematical Association 1955

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Layzer, D., Astronomical Journal 59 268 (1954).Google Scholar
2. McCrea, W.H., Astronomical Journal 60 (1955).CrossRefGoogle Scholar
3. McCrea, W.H. and Milne, E.A., Quart. J. Math. (Oxford ser.) 5 73, 1934.CrossRefGoogle Scholar
4. Maxwell, J.C, Matter and Motion (London, 1882) 84–86.Google Scholar
5. Milne, E.A., Quart. J. Math. (Oxford ser.) 5 64, 1934.CrossRefGoogle Scholar
6. Synge, J.L., Proc. Edinburgh Math. Soc. (2) 5 93, 1937.Google Scholar
7 Synge, J.L. and Griffith, B.A., Principles of Mechanics (New York and London 1942) 30–34.Google Scholar