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It is said that at the center of every galaxy is a supermassive black hole (the...
3. In this problem, we are going to examine the supermassive black hole in the center...
3. In this problem, we are going to examine the supermassive black hole in the center of our galaxy, Sagittarius A.. (a) (15 points) We can calculate its mass using the orbits of stars gravitationally bound to it in the same way that you can use the Earth's orbit to calculate the mass of the Sun). The orbit of a star, S2, has been fully mapped out. Its period is 15.24 yr and semi-major axis length is 980 AU. Using...
Astronomers have observed a small, massive object at the center of our Milky Way galaxy. A...
Astronomers have observed a small, massive object at the center of our Milky Way galaxy. A ring of material orbits this massive object; the ring has a diameter of about 10 light years and an orbital speed of about 210 km/s . A) Determine the mass of the massive object at the center of the Milky Way galaxy. Give your answer in kilograms. B) Give your answer in solar masses (one solar mass is the mass of the sun). C)...
The sun orbits the center of the Milky Way galaxy (see figure) in a period of...
The sun orbits the center of the Milky Way galaxy (see figure)
in a period of 2.5 108 years.
(a) Assuming a circular orbit of radius 2.12 1020 m, compute the
mass of the Milky Way.
(b) Estimate the number of stars in the Milky Way, assuming the
average star mass equals the mass of the sun—2.0 1030 kg. units
3. I'm Supermassive! a) Caleulate the Schwarzschild radius of a 109 solar mass black hole. How...
3. I'm Supermassive! a) Caleulate the Schwarzschild radius of a 109 solar mass black hole. How does your answer compare with the size of our solar system (given by the diameter of Pluto's orbit)? (b) You observe the Doppler shifts of emission lines from gas orbiting at a distance of 60 light- years from the central supermassive black hole in the galaxy M87 (see Figure 21.18b in your textbook). Suppose you now observe emission lines from gas at (i) 30...
3. Tremaine et al. (2002) have shown that supermassive black holes in the nuclei of galaxies follow a relation between black hole mass, MB, and the velocity dispersion of the host galaxy bulge com...
3. Tremaine et al. (2002) have shown that supermassive black holes in the nuclei of galaxies follow a relation between black hole mass, MB, and the velocity dispersion of the host galaxy bulge component, σ, such that log,o MBH8.0+40logo 200km/ The gravitational radius, Ra. (in a sense the "sphere of influence") of a black hole can be defined by the distance from the center at which the orbital speed of a star due to the black hole alone (i.e. neglecting...
Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.0...
Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.0 x 1011 solar masses. A star orbiting near the galaxy's periphery is 5.7 x 104 light-years from its center. (a) What should the orbital period (in y) of that star be? 24.2e6 ху (b) If its period is 5.1 x 107 years instead, what is the mass (in solar masses) of the galaxy? Such calculations are used to imply the existence of other matter,...
Astronomers now think that there is a black hole with more than 4 million times the...
Astronomers now think that there is a black hole with more than 4 million times the mass of our Sun at the center of our Galaxy? Roughly how large would the event horizon of such a supermassive black hole be? A. the size of our Moon B. about 4 light years across C. about 17 times the size of the Sun D. about the size of an atom (so much mass really compresses the event horizon) E. we can’t answer...
(25 points) A star known as S2 is in orbit around a massive, dark object thought...
(25 points) A star known as S2 is in orbit around a massive, dark object thought to be a black hole at the center of the Milky Way Galaxy. Based on the spectral type of the star, S2's mass is about 15Mo. The period of the orbit is about 15 years, the eccentricity of the orbit is about 0.9, and the semimajor axis of the orbit is about 1000 AU. Remember that IAU = 1.5 × 1013 cm. In solar...
A star near the visible edge of a galaxy travels in a uniform circular orbit. It...
A star near the visible edge of a galaxy travels in a uniform circular orbit. It is 42,700 ly (light-years) from the galactic center and has a speed of 275 km/s. Estimate the total mass of the galaxy based on the motion of the star. Gravitational constant is 6.674×10−11 m3/(kg·s2) and mass of the Sun Ms=1.99 × 1030 kg. The total visible mass (i.e., matter we can detect via electromagnetic radiation) of the galaxy is 1011 solar masses. What fraction...
Astronomical observations of our Milky Way galaxy indicate that it center. (For your calculations, assume that...
Astronomical observations of our Milky Way galaxy indicate that it center. (For your calculations, assume that the galaxy's mass is concentrated near its center.) has a mass of about 8 × Ό11 solar masses. A star orbiting near the galaxy S periphery. S ,, e İ-lit ears or ts (a) What should the orbital period of that star be? yr If its period is 6.7 x ǐ07 years instead, what is the mass of the galaxy? Such calculations are used...
3. In this problem, we are going to examine the supermassive black hole in the center of our galaxy, Sagittarius A.. (a) (15 points) We can calculate its mass using the orbits of stars gravitationally bound to it in the same way that you can use the Earth's orbit to calculate the mass of the Sun). The orbit of a star, S2, has been fully mapped out. Its period is 15.24 yr and semi-major axis length is 980 AU. Using...
The sun orbits the center of the Milky Way galaxy (see figure)
in a period of 2.5 108 years.
(a) Assuming a circular orbit of radius 2.12 1020 m, compute the
mass of the Milky Way.
(b) Estimate the number of stars in the Milky Way, assuming the
average star mass equals the mass of the sun—2.0 1030 kg. units
3. I'm Supermassive! a) Caleulate the Schwarzschild radius of a 109 solar mass black hole. How does your answer compare with the size of our solar system (given by the diameter of Pluto's orbit)? (b) You observe the Doppler shifts of emission lines from gas orbiting at a distance of 60 light- years from the central supermassive black hole in the galaxy M87 (see Figure 21.18b in your textbook). Suppose you now observe emission lines from gas at (i) 30...
3. Tremaine et al. (2002) have shown that supermassive black holes in the nuclei of galaxies follow a relation between black hole mass, MB, and the velocity dispersion of the host galaxy bulge component, σ, such that log,o MBH8.0+40logo 200km/ The gravitational radius, Ra. (in a sense the "sphere of influence") of a black hole can be defined by the distance from the center at which the orbital speed of a star due to the black hole alone (i.e. neglecting...
Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.0 x 1011 solar masses. A star orbiting near the galaxy's periphery is 5.7 x 104 light-years from its center. (a) What should the orbital period (in y) of that star be? 24.2e6 ху (b) If its period is 5.1 x 107 years instead, what is the mass (in solar masses) of the galaxy? Such calculations are used to imply the existence of other matter,...
(25 points) A star known as S2 is in orbit around a massive, dark object thought to be a black hole at the center of the Milky Way Galaxy. Based on the spectral type of the star, S2's mass is about 15Mo. The period of the orbit is about 15 years, the eccentricity of the orbit is about 0.9, and the semimajor axis of the orbit is about 1000 AU. Remember that IAU = 1.5 × 1013 cm. In solar...
Astronomical observations of our Milky Way galaxy indicate that it center. (For your calculations, assume that the galaxy's mass is concentrated near its center.) has a mass of about 8 × Ό11 solar masses. A star orbiting near the galaxy S periphery. S ,, e İ-lit ears or ts (a) What should the orbital period of that star be? yr If its period is 6.7 x ǐ07 years instead, what is the mass of the galaxy? Such calculations are used...
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