Foundations of Astronomy, Enhanced
Foundations of Astronomy, Enhanced
13th Edition
ISBN: 9781305980686
Author: Michael A. Seeds; Dana Backman
Publisher: Cengage Learning US
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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)?
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.]
(Astronomy) PSR1913+16 Problem II. Using only the Figure, what are the maximum radial velocities as found from the redshift and blueshift, respectively? Note: redshifts have positive radial velocities values in the figure, whereas blueshifts have negative radial velocity values.  (Answer in km/s)
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