Foundations of Astronomy (MindTap Course List)
Foundations of Astronomy (MindTap Course List)
14th Edition
ISBN: 9781337399920
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 14, Problem 15P
To determine

The orbital period of matter lies at 2.0×105km from the center of black hole.

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If the book's example of the Schwarzchild radius of the supermassive black hole Sag A* with a mass of ~4 million (aka 4*10^6) solar masses is approximately 1.2*10^10 m (or rewritten as 12*10^9 m), what would be the Schwarzchild radius of something with the mass of Jupiter (~0.001 or 10^(-3) solar masses) be? How does this compare to the size of an average person (~1.5 m)?
(Astronomy) White Dwarf Size I. The density of Sirius B is 2×106 g/cm3 and its mass is 1.95×1030 kg. What is the radius of the white dwarf in km? (Hint: Density = mass/volume, and the volume of a sphere is 4/3πr3) Please round your answer to two significant digits.
Exoplanet orbital period (b) For the system pictured in the previous problem (and using data given there), suppose that the star has a mass of 0.025 solar masses, and the planet's mass is very small in comparison. Compute the planet's orbit period. Assume the orbit is circular with a radius given by the distance listed in the figure. Express your answer in years. [Hint: this is a mildly challenging problem that requires plugging into a single formula but using multiple unit conversions. You will need to use Kepler's 3rd law in its **general** form (not the simplified form that is only applicable to objects orbiting our Sun). You will need to look up the value of the constant G. Convert solar masses to kg, AU to m, and everything else to base Sl units; find the period in seconds; then convert seconds to years.]
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