Astronomy
Astronomy
1st Edition
ISBN: 9781938168284
Author: Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher: OpenStax
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Chapter 25, Problem 19E

The Sun orbits the center of the Galaxy in 225 million years at a distance of 26,000 light-years. Given that a 3 = ( M 1 + M 2 ) × P 2 , where a is the semimajor axis and P is the orbital period, what is the mass of the Galaxy within the Sun’s orbit?

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A star at a distance of 50000 light years from the center of a galaxy has an orbital speed of 100 km/s around the galactic center. What is the total mass of the galaxy located at distances smaller than 50000 light years from the center? A. 7.6 ×1010 solar masses B. 4.2 ×1011 solar masses C. 3.5 ×1010 solar masses D. 1.4 ×1011 solar masses Is the answer C? M = (r x v^2) / G = 50000 x 9.46e15 x (100000^2) / 6.67e-11 / 2e30 (the Sun's mass) = 3.55e10 solar masses
A star near the visible edge of a galaxy travels in a uniform circular orbit. It is 43,500 ly (light-years) from the galactic center and has a speed of 275 km/s. a.)Estimate the total mass of the galaxy based on the motion of the star. Gravitational constant is 6.674×10−11m3/(kg·s2) and mass of the Sun Ms=1.99 × 1030 kg. b.)The total visible mass (i.e., matter we can detect via electromagnetic radiation) of the galaxy is 1011 solar masses. What fraction of the total mass of the galaxy is visible, according to this estimate?
Suppose that the outer stars of a galaxy have an orbital velocity of 150 km/s. If the radius of the galaxy is 4.0 kpc (1??? = 3.1 × 1016 ??), what is the orbital period of the outer stars in years?

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