SMP on SMBH Are these two empirical laws similar? The same? Isothermal spheres
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Transcript of SMP on SMBH Are these two empirical laws similar? The same? Isothermal spheres
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SMP on SMBH
Are these two empirical laws similar? The same? Isothermal spheres Isothermal distribution functions Isothermal singular sphere Isothermal non-singular sphere Conclusions for the magnitude of dynamical friction in dark halos: the reason for efficient mergers Rotation and flattening of elliptical galaxies: only a weak
connection
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Even the fantastic resolution ofthe VLBI radio interferometrycannot resolve the central engine.The dot in the lower left corner is of order 6 Schwarzschild radii,
i.e. several times the size of the black hole event horizon, from within which light or information cannot escape.
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Empirical correlation exists between the supermassive black hole mass and the luminosity (and thus mass) of the bulge of the host galaxy, M87 isshown in a red circle
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SMP on SMBHs
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Tully-Fisher relationship, a correlation between the luminosityand rotation for diskgalaxies
Log
Vc
-2.5 log L
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Faber-Jackson relationship:Luminosity ~ sigma^4 applies to ellipticals
Tully-Fisher relationshipLuminosity ~ (Vc)^3.85applies to disk galaxies
but the two are almost identical:both the disks and the ellipticalsare immersed in the same typeof dark halos which determinesthe maximum Vc via potentialwell depth.
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(sorry, that’smy teenage daughter)
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Good for modelingflat-Vc galaxiesin dark halos
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...so this is one major reason why mergers of galactic systems areso rapid (a few to a few dozen periods)
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One more empirical correlation: between rotation and flattening of ellipticals, which can be understood based on stellar dynamics
Fastest rotation according to theory
But remember: theory gives the upper envelope only. Most ellipticals are NOT supported or flattened by rotation. They simply are not relaxed; flatteningcomes from initial conditions, including geometry of encounter.