Article

# Relativistic Corrections to the Sunyaev-Zeldovich Effect for Clusters of Galaxies. V. Effect of the Motion of the Observer

01/2005; DOI:doi:10.1051/0004-6361:20052923
Source: arXiv

ABSTRACT We extend the formalism of the relativistic thermal and kinematical Sunyaev-Zeldovich effects to the observer's system (the Solar System) moving with a velocity $\beta_{S}$ with respect to the cosmic microwave background radiation. We confirm the results recently obtained by Chluba, Huetsi, and Sunyaev in the lowest order of the observer's velocity $\beta_{S}. We give a more general analytic expression for the thermal and kinematical Sunyaev-Zeldovich effects corresponding to the observer's system with the power series expansion approximation in terms of$\theta_{e}$. It is found that the effect of the motion of the observer on the Sunyaev-Zeldovich effect will become important in the future high precision observation projects of the Sunyaev-Zeldovich effect. Comment: 17 pages, 2 figures, in press in A&A 0 0 · 0 Bookmarks · 35 Views #### Full-text (2 Sources) 6 Downloads Available from 11 Dec 2012 #### View other sources ### Keywords 2 figures general analytic expression Huetsi kinematical Sunyaev-Zeldovich effects kinematical Sunyaev-Zeldovich effects corresponding observer's system observer's velocity$\beta_{S}

power series expansion approximation

relativistic thermal

Solar System

Sunyaev-Zeldovich effect

thermal