THE MILKY WAY'S CIRCULAR-VELOCITY CURVE BETWEEN 4 AND 14 kpc FROM APOGEE DATA
Jo Bovy, Carlos Allende Prieto, Timothy C. Beers, Dmitry Bizyaev, L. N. da Costa, Kátia Almeida Cunha, Garrett Ebelke, Daniel J. Eisenstein, Peter M. Frinchaboy, Ana Elia García Pérez, L. Girardi, Fred Hearty, David W. Hogg, Jon A. Holtzman, M. A. G. Maia, Steven R. Majewski, Elena Malanushenko, Viktor Malanushenko, Szabolcs Mészáros, David L. Nidever · The Astrophysical Journal · 2012
We measure the Milky Way's rotation curve over the Galactocentric range 4 kpc ≲ R ≲ 14 kpc from the first year of data from the Apache Point Observatory Galactic Evolution Experiment. We model the line-of-sight velocities of 3365 stars in 14 fields with b = 0° between 30° ⩽ l ⩽ 210° out to distances of 10 kpc using an axisymmetric kinematical model that includes a correction for the asymmetric drift of the warm tracer population (σ R ≈ 35 km s −1 ). We determine the local value of the circular velocity to be V c ( R 0 ) = 218 ± 6 km s −1 and find that the rotation curve is approximately flat with a local derivative between −3.0 km s −1 kpc −1 and 0.4 km s −1 kpc −1 . We also measure the Sun's position and velocity in the Galactocentric rest frame, finding the distance to the Galactic center to be 8 kpc 99 % confidence. We find an offset between the Sun's rotational velocity and the local circular velocity of 26 ± 3 km s −1 , which is larger than the locally measured solar motion of 12 km s −1 . This larger offset reconciles our value for V c with recent claims that V c ≳ 240 km s −1 . Combining our results with other data, we find that the Milky Way's dark-halo mass within the virial radius is ∼8 × 10 11 M ☉ .