A Precise Milky Way Rotation Curve Model for an Accurate Galactocentric Distance

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I provide a model rotation curve for the Milky Way that matches the details of the terminal velocity curve normalized to the Galactocentric distance R₀ = 8.122 kpc obtained by the GRAVITY collaboration and the corresponding circular speed of the LSR Θ₀ = 233.3 km/s. The model provides a numerical representation of the azimuthally averaged radial run of the gravitational potential of each mass component of the Galaxy (bulge-bar, stellar disk, gas disk, and dark matter) as represented by the rotation curve of each. It provides precise estimates of quantities like the stellar mass of the Galaxy (6.16 ± 0.31 × 10¹⁰M) and the local density of dark matter (ρDM(R₀) = 6.76⁺⁰.⁰⁸₋₀.₁₄ × 10⁻³ Mpc⁻³ = 0.257⁺⁰.⁰⁰³₋₀.₀₀₅ GeVcm⁻³). The dark matter density implied by the radial force is less than that found in many studies of the vertical force, perhaps indicating that the usual assumption of a spherical dark matter halo is no longer adequate.