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Deriving accurate peculiar velocities (even at high redshift)
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Deriving accurate peculiar velocities (even at high redshift)
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The way that peculiar velocities are often inferred from measurements of distances and redshifts makes an approximation, v_p = cz-H_0 D, that gives significant errors even at relatively low redshifts (overestimates peculiar velocity by ~ 100 km/s at z~0.04). Here we demonstrate where the approximation breaks down, the systematic offset it introduces, and how the exact calculation should be implemented.
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Cited by 1 Pith paper
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High-redshift transverse BAO measurements with the SDSS quasar catalog
A transverse-BAO angular diameter distance at z≈1.725 is claimed from SDSS DR16 quasars, but the abstract (two shells: θ_BAO=1.911°±0.062° and 1.727°±0.081°, 3.4σ/3.0σ) contradicts the body (one shell: θ_BAO=1.928°±0....
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