In an accretion disc described by the a-viscosity, the surface density E scales with radius r as -3/4 Ro where Eo is the surface density at radius Ro. (i) Integrate this expression to find the total disc mass Maise between radius Ro and the outer disc radius Rp in terms of Ro, RD and Eo- (ii) Show that the disc mass between radii Ro E = 10 kg m-2 is only a few billionths of a solar mass. = 10 m and RD = 10° m when %3D
In an accretion disc described by the a-viscosity, the surface density E scales with radius r as -3/4 Ro where Eo is the surface density at radius Ro. (i) Integrate this expression to find the total disc mass Maise between radius Ro and the outer disc radius Rp in terms of Ro, RD and Eo- (ii) Show that the disc mass between radii Ro E = 10 kg m-2 is only a few billionths of a solar mass. = 10 m and RD = 10° m when %3D
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Transcribed Image Text:In an accretion disc described by the a-viscosity, the surface density E scales with radius r as
-3/4
E= E0
Ro
where Eo is the surface density at radius Ro.
(i) Integrate this expression to find the total disc mass Mdisc between radius Ro and the
outer disc radius Rp in terms of Ro, RD and Eo-
(ii) Show that the disc mass between radii Ro = 10° m and Rp = 10° m when
E0 = 104 kg m-2 is only a few billionths of a solar mass.
%3D
%3D
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