2. Calculate the circular rotation speed for a 20 solar mass point source (a black hole) and a 1,000 AU. Do you calculation so that you = plummer potential with mass = 20 solar masses and b show circular velocities for radii from 1 to 10,000 AU. Hint: For the Plummer potential, as for the point source, assume that at each radius, the kinetic energy of rotation is 1/2 of the potential energy, positive. Explain why the two rotation curves look different.... in words.
2. Calculate the circular rotation speed for a 20 solar mass point source (a black hole) and a 1,000 AU. Do you calculation so that you = plummer potential with mass = 20 solar masses and b show circular velocities for radii from 1 to 10,000 AU. Hint: For the Plummer potential, as for the point source, assume that at each radius, the kinetic energy of rotation is 1/2 of the potential energy, positive. Explain why the two rotation curves look different.... in words.
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Transcribed Image Text:2. Calculate the circular rotation speed for a 20 solar mass point source (a black hole) and a
plummer potential with mass = 20 solar masses and b= 1,000 AU. Do you calculation so that you
show circular velocities for radii from 1 to 10,000 AU.
Hint: For the Plummer potential, as for the point source, assume that at each radius, the kinetic
energy of rotation is 1/2 of the potential energy, positive.
Explain why the two rotation curves look different.... in words.
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