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

Satoshi Nozawa; Naoki Itoh; Yasuharu Kohyama

doi:10.1051/0004-6361:20052923

paper

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

arXiv:astro-ph/0501114 · doi:10.1051/0004-6361:20052923

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 $β_{S}$ 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 $β_{S} . W e g i v e am or e g e n er a l ana l y t i ce x p r ess i o n f or t h e t h er ma l an d k in e ma t i c a l S u n y a e v - Z e l d o v i c h e f f ec t scor r es p o n d in g t o t h eo b ser v e r^{'} ssy s t e m w i t h t h e p o w er ser i ese x p an s i o na pp r o x ima t i o nin t er m so f$ θ_{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.

17 pages, 2 figures, in press in A&A