Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.0 x 10 solar masses. A star orbiting near the galaxy's periphery is 5.6 x 10* light-years from its center. (a) What should the orbital period (in y) of that star be? (b) If its period is 5.3 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, such as a very massive black hole at the center of the Milky Way. solar masses

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Chapter13: Gravitation
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Problem 42P: Astronomical observatrions of our Milky Way galaxy indicate that it has a mass of about 8.01011...
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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 5.6 x 104 light-years from its center.
(a) What should the orbital period (in y) of that star be?
y
(b) If its period is 5.3 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, such as a very massive black hole at the center of
the Milky Way.
solar masses
Transcribed Image Text: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 5.6 x 104 light-years from its center. (a) What should the orbital period (in y) of that star be? y (b) If its period is 5.3 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, such as a very massive black hole at the center of the Milky Way. solar masses
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