21ST CENTURY ASTR.:STARS..(LL)-PACKAGE
21ST CENTURY ASTR.:STARS..(LL)-PACKAGE
6th Edition
ISBN: 9780393448450
Author: Kay
Publisher: NORTON
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Chapter 7, Problem 40QP
To determine

The wavelength of the largest shift effect causes in the Sun’s spectrum.

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Consider the attached light curve for a transiting planet observed by the Kepler mission. If the host star is identical to the sun, what is the radius of this planet? Give your answer in terms of the radius of Jupiter. Brightness of Star Residual Flux 0.99 0.98 0.97 0.006 0.002 0.000 -8-881 -0.06 -0.04 -0.02 0.00 Time (days) → 0.02 0.04 0.06
9) An interstellar cloud fragment 0.2 light-year in diameter is rotating at a rate of one revolution per million years. It now begins to collapse. Assuming that the mass remains constant, estimate the cloud's rotation period when it has shrunk to (a) the size of the solar nebula, 100 AU across, and (b) the size of Earth's orbit, 2 AU across. (answers: 0.016 revolutions per year, and an orbital period of 62.5 years, This is 40 revolutions per year, and an orbital period of 0.025 years, or just a little over 9 days)
While doing a transit study, you find an exoplanet around a nearby Sun-like star. The time between transits is P= 32days. During a transit, the time from first to second contact is t2−t1= 30minutes, and the time from fist to third contact is t3−t1= 5hours. The depth of the transit is δF/F= 0.01. During follow-up radial velocity measurements of the star, you find that its peak radial velocity is vr= 65m s−1. What is the radius of the planet? What is the mass of the planet? What is the semimajor axis of the planet’s orbit?
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