What is the orbital period of a bit of matter in an accretion disk 2 x105 km from a 10-solar-mass black hole?
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A: Given data, Schwarzschild radius = Rs Mass of the black hole = MBH
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- If a protostellar disk is 240 AU in radius and the disk plus the forming star together contain 9 solar masses, what is the orbital speed at the outer edge of the disk in kilometers per second?Some interstellar Properties. Use excel calculator to fill in the missing figures. 1 ly = 365 × 24 × 60 × 60 × 300, 000km/s = 9.46 × 10^12 kmIf a neutron star has a radius of 15 km and rotates 748 times a second, what is the speed of the surface at the neutron star's equator as a fraction of the speed of light?
- the co te on Pictor. The 270 TOI System TOI 270 c Earth 365-day orbit $1 AU from Sun Habitable 5.7-day orbit 0.05 AU $2.4 Earth radii Largest in system 59 F, 15 C 300 F, 150 C TOI 270 TOI 270 d M3-type dwarf star TOI 270 b $11.4-day orbit 0.07 AU 3.4-day orbit 2.1 Earth radii 0.03 AU Temperate 1.25 Earth radii Likely rocky 150 F. 67 C 490 F. 254 C Figure taken from https://exoplanets.nasa.gov/news/1593/tess-scores-hat-trick-with-3-new-worlds/ What makes the TOI-270 system particularly interesting is that the three exoplanets detected this far (there may be more) have sizes comparable to the Earth. Compare the orbital period of TOI 270 c and TOI 270 d. For every revolution that TOI 270 d makes around the host star TOI 270, how many revolutions does TOI 270 c make?From this new rotation rate (0.175 RATE), the neutron star is slowed to a halt in 3 billion years. What was the average torque on the neutron star during this time?Suppose a quasar is shining with a luminosity L. What is the approximate minimal mass of the black hole? (If the black hole had a lower mass than this, the pressure in the material would overcome the gravity of the black hole and the material would be blown apart.) Give your answer in solar masses, in scientific notation to one significant figure (no decimal places). Value: L=1×10^12Lsun Suppose the quasar in the previous problem is 10% efficient at turning rest mass into energetic photons, according to Einstein's equation E=mc2. What is the necessary rate of accretion of mass onto this black hole, to sustain its luminosity of 1* 1012 solar luminosities -- i.e. how much mass must be 'fed' to this black hole to keep the AGN shining so brightly? Give your response in units of solar masses of material per year, with one decimal place.
- (Astronomy) Binary Pulsar. Part A: Use the orbital period 27 min for the binary pulsar (two neutron stars orbit each other) to find the orbital separation of the pair in AU and solar radii. Assume a neutron star's mass is 3 solar masses. (Hints: Use the version of Kepler's third law for binary stars.) Part B: Is this system orbiting closer or further than Mercury is to the Sun?If a detector on the surface of planet A displays a gravityacceleration of 4.9 m/s2, what is the mass of the planet withradius 2.5 x 106 m (in kg, G = 6.67 x 10-11 N (m/kg) 3?The first confirmed black hole, Cygnus X-1, was regarded as proof that black holes exist because ita. is a compact object in a binary systemb. emits X-rays from a hot accretion diskc. is accreting matter from a main-sequence companion d. has a period of 5.6 dayse. has a mass of ten solar masses
- The tidal force is a differential force: dF/dr, which is the difference between the force at one distance and the force at another. If dr happens to correspond to, say, your height, then the tidal force is the difference in gravity felt by your head and by your feet. This amounts to a stretching force, since one end is pulled harder than the other end. Calculate the tidal force experienced by your body at the surface of a neutron star. Assume that the neutron star has a mass of 1.5 solar masses and a radius of 10 km. Assume that your mass is 100 kg and that your dr (height) is 2 m when standing and 0.5 m when prone. What is the tidal force when you are standing? What is the tidal force when you are prone? Based on the above, what do you recommend for minimizing the tidal force?If a neutron star has a radius of 10 km and rotates 716 times a second, what is the speed of the surface at the neutron star's equator as a fraction of the speed of light?How would it appear to an outside observer if someone were to enter a black hole?