Abstract
We discuss the prospect of detecting a gravitational wave background by means of a simultaneous Doppler tracking of two spacecraft. We find that the cross spectrum of the Doppler shifts of the two spacecraft is a filtered expression of the energy density spectrum of the background. The filter function, which is expressed as a series in terms of Legendre polynomials, is obtained by an integration over the rotation group, assuming the background to be isotropic. We examine the main noise sources and point out the advantages of a measurement with two spacecraft.
Similar content being viewed by others
References
Carr, B. J. (1980).Astron. Astrophys.,89, 6.
Romani, R. W., and Taylor, J. H. (1983).Astrophys. J.,265, L35.
Hellings, R. W., and Downs, G. S. (1983).Astrophys. J.,265, L39.
Bertotti, B., Carr, B. J., and Rees, M. J. (1983).Mon. Not. R. Astron. Soc.,203, 945.
Davis, M. M., Taylor, J. H., Weisberg, J. M., and Backer, D. C. (1985).Nature,315, 547.
Blandford, R., Narayan, R., and Romani, R. W. (1984).J. Astrophys. Astr.,5, 369.
Hellings, R. W. (1979).Phys. Rev. Lett.,43, 470.
Hellings, R. W., Callahan, P. S., Anderson, J. D., and Moffet, A. T. (1981).Phys. Rev. D,23, 844.
Anderson, J. D., and Mashoon, B. (1984). To be published.
Estabrook, F. B., and Wahlquist, H. D. (1975).Gen. Rel. Grav.,6, 439.
Mashoon, B., and Grishchuk, L. P. (1980).Astrophys. J.,236, 990.
Hellings, R. W. (1981).Phys. Rev. D,23, 832.
Bertotti, B., and Carr, B. J. (1980).Astrophys. J.,236, 1000.
Bertotti, B., and Iess, L. (1983). Internal note of the Istituto di Fisica dello Spazio Interplanetario, IFSI 83-7.
Woo, R. (1975).Astrophys. J.,201, 238.
Armstrong, J. W., Woo, R., and Estabrook, F. B. (1979).Astrophys. J.,230, 570.
Iess, L., Dobrowolny, M., and Bertotti, B. (1983).Astron. Astrophys.,121, 283.
Jenkins, G. M., and Watts, D. G. (1968).Spectral Analysis and Its Applications (Holden-Day, San Francisco).
Miller, W. (1972).Symmetry Groups and Their Applications (Academic, New York).
Bertotti, B. (1981).J. Geophys. Res.,86, 10835.
Schiff, L. I. (1955).Quantum Mechanics (McGraw-Hill, New York).
Author information
Authors and Affiliations
Additional information
This work was supported by the Consiglio Nazionale delle Ricerche.
Rights and permissions
About this article
Cite this article
Bertotti, B., Iess, L. Doppler search for a gravitational background radiation with two spacecraft. Gen Relat Gravit 17, 1043–1058 (1985). https://doi.org/10.1007/BF00774207
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00774207