Understanding Our Universe
Understanding Our Universe
3rd Edition
ISBN: 9780393614428
Author: PALEN, Stacy, Kay, Laura, Blumenthal, George (george Ray)
Publisher: W.w. Norton & Company,
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Chapter 5, Problem 43QAP

(a)

To determine

The orbital radius of the extrasolar planet that orbits solar-mass star.

(b)

To determine

The comparison of the orbit of mercury around the sun to the orbital radius of the extrasolar planet around solar-mass star.

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H5. A star with mass 1.05 M has a luminosity of 4.49 × 1026 W and effective temperature of 5700 K. It dims to 4.42 × 1026 W every 1.39 Earth days due to a transiting exoplanet. The duration of the transit reveals that the exoplanet orbits at a distance of 0.0617 AU. Based on this information, calculate the radius of the planet (expressed in Jupiter radii) and the minimum inclination of its orbit to our line of sight.   Follow up observations of the star in part reveal that a spectral feature with a rest wavelength of 656 nm is redshifted by 1.41×10−3 nm with the same period as the observed transit. Assuming a circular orbit what can be inferred about the planet’s mass (expressed in Jupiter masses)?
The NASA Kepler mission detected a transiting planet that blocks 1.3% of the stars light and the host star has a radius 82% of the  Sun's radius (the Sun has a radius of 700,000 km) what is the radius of the exosolar planet in km?
How do the planets in our solar system, for example Jupiter, affect the orbits of the other planets? How relatively stable are the orbits of the planets in the solar system?
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