Estimates of multipolar coefficients to search for cosmic ray anisotropies with non-uniform or partial sky coverage

Details Estimates of multipolar coefficients to search for cosmic ray anisotropies with non-uniform or partial sky coverage Estimates of multipolar coefficients to search for cosmic ray anisotropies with non-uniform or partial sky coverage

2007-10-11

arxiv.org/abs/0710.2290v2

JCAP0802:009,2008

Astronomy and Astrophysics

Astrophysics

20 pages, 8 figures

Scientific paper

10.1088/1475-7516/2008/02/009

We study the possibility to extract the multipolar moments of an underlying distribution from a set of cosmic rays observed with non-uniform or even partial sky coverage. We show that if the degree is assumed to be upper bounded by $L$, each multipolar moment can be recovered whatever the coverage, but with a variance increasing exponentially with the bound $L$ if the coverage is zero somewhere. Despite this limitation, we show the possibility to test predictions of a model without any assumption on $L$ by building an estimate of the covariance matrix seen through the exposure function.

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