John Phillips edited Data Section.tex  over 9 years ago

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We will be interested in investigating how our results change when we change how our sample is selected. To this end, we will introduce two more isolation schemes. The first we term our ``annular" sample: a galaxy in the host magnitude range is considered isolated if it has no other galaxies in the host magnitude range within 350 kpc in projection and 1000 km/s in velocity space, and at most one other galaxy in the host magnitude range between 350 kpc and 1 Mpc in projection and 1000 km/s in velocity space. We also define the ``group" sample, we select galaxies that have no brighter objects within 1 Mpc and 1000 km/s but have at least three neighbors in the host magnitude range within 1 Mpc and 1000 km/s. In each case, satellites are selected identially to the fiducial case. The annular selection method yields 116 hosts and 245 satellites, and the group selection method gives 170 hosts with 413 satellites.  \subsection{Corotation signal}  In this subsection, we investigate pairs of satellite pairs located diametrically opposite their host for signals of corotation. To facilitate this, we will introduce the parameter $\alpha$, defined as the angle between the line extending from one satellite through the host and the position vector of the second satellite. This definition is sketched in Figure \ref{fig:corot}. The signal identified by \cite{Ibata_2014} is shown in Figure