Essential Cosmic Perspective, The, Books a la Carte Edition & Modified MasteringAstronomy with Pearson eText -- ValuePack Access Card -- for The Essential Cosmic Perspective Package
Essential Cosmic Perspective, The, Books a la Carte Edition & Modified MasteringAstronomy with Pearson eText -- ValuePack Access Card -- for The Essential Cosmic Perspective Package
1st Edition
ISBN: 9780133879216
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: PEARSON
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Chapter 1, Problem 34EAP

Thinking About Scale. One key to success m science is finding a simple way to evaluate new ideas, and making a simple scale model is often helpful. Suppose someone tells you that the reason it is warmer during the day then at night is that the day side of Earth is closer to the Sun then the night side. Evaluate this idea by thinking about the size of Earth and Is distance from the Sun in a scale model of the solar system.

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Essential Cosmic Perspective, The, Books a la Carte Edition & Modified MasteringAstronomy with Pearson eText -- ValuePack Access Card -- for The Essential Cosmic Perspective Package

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  • We believe that Venus, Earth, and Mars all started with a significant supply of water. Explain where that water is now for each planet.
    Next you will (1) convert your measurement of the semi-major axis from arcseconds to AU, (2) convert your measurement of the period from days to years, and (3) calculate the mass of the planet using Newton's form of Kepler's Third Law. Use Stellarium to find the distance to the planet when Skynet took any of your images, in AU. Answer: 4.322 AU Use this equation to determine a conversion factor from 1 arcsecond to AU at the planet's distance. You will need to convert ? = 1 arcsecond to degrees first. Answer: 2.096e-5 AU (2 x 3.14 x 4.322 x (.000278/360) = 2.096e-5) Next, use this number to convert your measurement of the moon's orbital semi-major axis from arcseconds to AU. A) Calculate a in AU.    B) Convert your measurement of the moon's orbital period from days to years.   C) By Newton's form of Kepler's third law, calculate the mass of the planet. D) Finally, convert the planet's mass to Earth masses: 1 solar mass = 333,000 Earth masses.
    Use Kepler's Law, which states that the square of the time, T, required for a planet to orbit the Sun varies directly with the cube of the mean distance, a, that the planet is from the Sun.Using Earth's time of 1 year and a mean distance of 93 million miles, the equation relating T (in years) and a (in million miles) is 804375T2=a3.Use that relation equation to determine the time required for a planet with mean distance of 206 million miles to orbit the Sun. Round to 2 decimal places. years
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