Summary
A generalized Kepler's third law within the framework of the virial theorem is presented by including post-Newtonian and gravitational radiation reaction contributions. The results are presented in dimensionless velocity and distance variables. An explicit expression is derived for the dimensionless velocity in terms of a power series for the dimensionless distance variable.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Turner M. S.,Phys. Scr. T,36 (1991) 167.
Walker M. andWill C. M.,Phys. Rev. D,19 (1979) 3483.
Walker M. andWill C. M.,Phys. Rev. D,19 (1979) 3495.
Taylor J. H., Wolszczan A., Damour T. andWeisberg J. M.,Nature,355 (1992) 132.
Cutler C., Kennefick D. andPoisson E.,Phys. Rev. D,50 (1994) 3816.
Iyer B. I. andWill C. M.,Phys. Rev. Lett.,70 (1993) 113.
Jackson J. D.,Classical Electrodynamics, 2nd edition (John Wiley & Sons, New York, N.Y.) 1975, p. 784.
Misner C. W., Thorne K. S. andWheeler J. A.,Gravitation (Freeman, San Francisco, Cal.) 1973, pp. 993–994, 1001–1003.
Landau L. D. andLifshitz E. M.,The Classical Theory of Fields (Pergamon Press, New York, N.Y.) 1987, p. 357.
Peters P. C.,Phys. Rev. B,136 (1964) 1224.
Burke W. L.,J. Math. Phys.,12 (1971) 401.
Blanchet L.,Phys. Rev. D,47 (1993) 4392.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Haghighipour, N., Huang, J.C. Generalized Kepler's third law and the virial theorem. Nuov Cim B 110, 1363–1368 (1995). https://doi.org/10.1007/BF02723120
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02723120