OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 38, Iss. 4 — Apr. 1, 1948
  • pp: 413–416

Optics InfoBase > JOSA > Volume 38 > Issue 4 > The Behavior of an Interferometer in a Gravitational Field. II. Application to a Planetary Orbit

The Behavior of an Interferometer in a Gravitational Field. II. Application to a Planetary Orbit

HERBERT E. IVES  »View Author Affiliations

JOSA, Vol. 38, Issue 4, pp. 413-416 (1948)

View Full Text Article

Acrobat PDF (377 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The assumption of identity of properties of a body stationary in a gravitational field and of a body falling under an inverse square law of attraction, previously used to account for optical phenomena, is applied to dynamical phenomena by the extension of the same assumption to mass. Force equations corresponding to the gravitational mass m0/(γ-r˙2/c2γ-r2θ2/c2)½ are derived, which when solved for a planetary orbit, give the observed advance of perihelion of Mercury.

HERBERT E. IVES, "The Behavior of an Interferometer in a Gravitational Field. II. Application to a Planetary Orbit," J. Opt. Soc. Am. 38, 413-416 (1948)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. H. E. Ives, "The behavior of an interferometer in a gravitational field," J. Opt. Soc. Am. 29, 183 (1939).
  2. Ives, "Derivation of the Lorentz transformations," Phil. Mag. 7, 392 (1945).
  3. A. S. Eddington, "Astronomical consequences of the electrical theory of matter," Phil. Mag. 6, 321 (1917).
  4. Ives, "The physical significance of Birkhoff's gravitational equations," Phys. Rev. 72, 229 (1947).
  5. See W. H. McCrea, Relative Physics (Methuen and Company, Ltd., London, 1935), pp. 29–31.
  6. While this postulate of equivalence has been expressed in terms of velocity, from which the contraction factors are obtained, the primarily significant quantity is the corresponding acceleration, which is equivalent to the upward push experienced in a true gravitational field.
  7. It is obtained by combining Eqs. (38.8) and (39.62), pp. 85 and 86 of Eddington's Mathenmatical Theory of Relativity (Cambridge, 1923).
  8. Combination of Eqs. (12b) and (13), Math. Phys. 177 (1922).
  9. If one takes the equations quoted in the two preceding notes as the entire basis for developing force equations, there is no ground for favoring (22) and (23) over the simple and symmetrical equations (12) and (13), which, as noted, are essentially the equations of Birkhoff's theory.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited