The first of the appended figures shows the rotation curve for the spiral galaxy m87 (d-16mpe). just outside 0.1 arcsec from the center, the rotation curve (i. e., the (circular) velocity as a function of distance) is approximately flat. estimate the mass inside this region. report your answer in solar mass units. hint: do nol forgel that galaries have a redshift thal is due lo cosmic erpansion and not galactic rotation. you must find that systemic redshift from the given data and subtract it off to get the galactic rotational velocity at 0.1". note that you are given the measured speed on both sides of m 87's core. use this to determine how much of the measured speed at 0.1" is cosmological and how much is from the rotation of m87's disk. remember that observationally the doppler shift only measures the radial component of any object's velocity and that doppler shifts from a rotating body should have one half blueshifted (relative to the non-rotating center) and one half redshifted
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Physics, 22.06.2019 15:10, Bgreene2377
Suppose that f : rn → rm and that a ∈ k, where k is a connected subset of rn . suppose further that for each x ∈ k there exists a δx > 0 such that f(x) = f(y) for all y ∈ bδx (x). prove that f is constant on k; that is, f(x) = f(a) for all x ∈ k
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The first of the appended figures shows the rotation curve for the spiral galaxy m87 (d-16mpe). just...
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