Built on

Cambridge, 1944
G. N. Watson, A Treatise on the Theory of Bessel Functions, 2nd ed · 1944
Earlier work this paper cites.
Princeton, 1980
P. J. E. Peebles, The Large-Scale Structure of the Universe · 1980
Earlier work this paper cites.
N. Kaiser, Clustering in real space and in redshift space
1987
Earlier work this paper cites.
A. J. S. Hamilton, Measuring Omega and the real correlation function from the redshift correlation function
1992
Earlier work this paper cites.
A. Heavens and A. Taylor, A Spherical Harmonic Analysis of Redshift Space
1995
Earlier work this paper cites.
M. Tegmark and B. Bromley, Real space cosmic fields from redshift space distributions: A Green function approach
1995
Earlier work this paper cites.
A. Hamilton and M. Culhane, Spherical redshift distortions
1996
Earlier work this paper cites.
A. S. Szalay, T. Matsubara, and S. D. Landy, Redshift space distortions of the correlation function in wide angle galaxy surveys
1998
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A. Taylor and H. Valentine, The inverse redshift-space operator: reconstructing cosmological density and velocity fields
1999
Earlier work this paper cites.

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2015

Redshift-space distortions with wide angular separations

Reimberg, Paulo H. F., Bernardeau, Francis, Pitrou, Cyril

Understand

Redshift-space distortions are generally considered in the plane parallel limit, where the angular separation between the two sources can be neglected.

Given that galaxy catalogues now cover large fractions of the sky, it becomes necessary to consider them in a formalism which takes into account the wide angle separations.
In this article we derive an operational formula for the matter correlators in the Newtonian limit to be used in actual data sets, both in configuration and in Fourier spaces without relying on a plane-parallel approximation.
We then recover the plane-parallel limit not only in configuration space where the geometry is simpler, but also in Fourier space, and we exhibit the first corrections that should be included in large surveys as a perturbative expansion over the plane-parallel results.

Built on

Cambridge, 1944
G. N. Watson, A Treatise on the Theory of Bessel Functions, 2nd ed · 1944
Earlier work this paper cites.
Princeton, 1980
P. J. E. Peebles, The Large-Scale Structure of the Universe · 1980
Earlier work this paper cites.
N. Kaiser, Clustering in real space and in redshift space
1987
Earlier work this paper cites.
A. J. S. Hamilton, Measuring Omega and the real correlation function from the redshift correlation function
1992
Earlier work this paper cites.
A. Heavens and A. Taylor, A Spherical Harmonic Analysis of Redshift Space
1995
Earlier work this paper cites.
M. Tegmark and B. Bromley, Real space cosmic fields from redshift space distributions: A Green function approach
1995
Earlier work this paper cites.
A. Hamilton and M. Culhane, Spherical redshift distortions
1996
Earlier work this paper cites.
A. S. Szalay, T. Matsubara, and S. D. Landy, Redshift space distortions of the correlation function in wide angle galaxy surveys
1998
Earlier work this paper cites.
A. Taylor and H. Valentine, The inverse redshift-space operator: reconstructing cosmological density and velocity fields
1999
Earlier work this paper cites.