Gaia: a Window to Large Scale Flows
Adi Nusser, Enzo Branchini, Marc Davis

TL;DR
This paper introduces a mathematical framework for analyzing 2D transverse galaxy motions using proper motions, which can complement traditional line-of-sight velocity measurements and address key questions about large-scale cosmic flows.
Contribution
It develops a novel framework for using proper motions to study large-scale galaxy flows, reducing biases and providing new insights into cosmic vorticity.
Findings
Proper motions offer bias-free measurements of galaxy velocities.
Gaia can measure proper motions for bright galaxies, enabling new flow studies.
Proper motions can address fundamental questions about vorticity in large-scale flows.
Abstract
Using redshifts as a proxy for galaxy distances, estimates of the 2D transverse peculiar velocities of distant galaxies could be obtained from future measurements of proper motions. We provide the mathematical framework for analyzing 2D transverse motions and show that they offer several advantages over traditional probes of large scale motions. They are completely independent of any intrinsic relations between galaxy properties, hence they are essentially free of selection biases. They are free from homogeneous and inhomogeneous Malmquist biases that typically plague distance indicator catalogs. They provide additional information to traditional probes which yield line-of-sight peculiar velocities only. Further, because of their 2D nature, fundamental questions regarding vorticity of large scale flows can be addressed. Gaia for example is expected to provide proper motions of at least…
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