Horizons: Exploring the Universe (MindTap Course List)
14th Edition
ISBN: 9781305960961
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 4, Problem 3P
Galileo’s telescopes were not of high quality by modern standards. He was able to see the moons of Jupiter, but he never reported seeing features on Mars. Use the small-angle formula to find the maximum angular diameter of Mars when it is closest to Earth. How does that compare with the maximum diameter of Jupiter? (Note: Useful data can be found in Appendix Table A-10.)
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Galileo's telescopes were not of high quality by modern standards. He was able to see the moons of Jupiter, but he never reported seeing features on Mars. Use the small-angle formula to find the angular diameter of Mars when it is closest to Earth. How does that compare with the maximum angular diameter of Jupiter? (Assume circular orbits with radii equal to the average distance from the Sun. Using the following distances from the Sun: Mars is 228 million km, Jupiter is 778 million km, and Earth is 150 million km. The radius of Mars is 3396 km. The radius of Jupiter is 71,492 km.)
angular diameter of Mars = ( )seconds of arc
angular diameter of Jupiter =( )seconds of arc
ratio of angular diameters (Jupiter/Mars) = ( )
A)At what altitude would a geostationary sattelite need to be above the surface of Mars? Assume the mass of Mars is 6.39 x 1023 kg, the length of a martian solar day is 24 hours 39minutes 35seconds, the length of the sidereal day is 24hours 37minutes 22seconds, and the equatorial radius is 3396 km. The answer can be calculated using Newton's verison of Kepler's third law.
If the satellite was placed in an orbit three times farther away, about how long would it take to orbit the Earth once? Answer in days, rounding to one significant figure.days
Mars rotates on its axis once every 1.02 days (almost the same as Earth does).
(a) Find the distance from Mars at which a satellite would remain in one spot over the Martian surface. (Use 6.42 1023 kg for the mass of Mars.)m(b) Find the speed of the satellite.m/s
Chapter 4 Solutions
Horizons: Exploring the Universe (MindTap Course List)
Ch. 4 - Why did Greek astronomers conclude that the...Ch. 4 - Why did classical astronomers conclude that Earth...Ch. 4 - How did the Ptolemaic model explain retrograde...Ch. 4 - In what ways were the models of Ptolemy and...Ch. 4 - Why did the Copernican hypothesis win gradual...Ch. 4 - Why is it difficult for scientists to replace an...Ch. 4 - Why did Tycho Brahe expect the new star of 1572 to...Ch. 4 - How was Tycho’s model of the Universe similar to...Ch. 4 - Explain how Kapler’s lows contradict uniform...Ch. 4 - What is the difference between a hypothesis ,...
Ch. 4 - How did The Alfonsine Tables, The Prutenic Tables,...Ch. 4 - Review Galileo’s telescopic discoveries and...Ch. 4 - Galileo was condemned by the Inquisition, but...Ch. 4 - How do Newton’s laws lead you to conclude that...Ch. 4 - Explain why you might describe the orbital motion...Ch. 4 - Prob. 16RQCh. 4 - How Do We know? How would you respond to someone...Ch. 4 - Prob. 18RQCh. 4 - How Do We Know? Why is it important that a...Ch. 4 - Science historian Thomas Kuhn has said that De...Ch. 4 - Many historians suspect that Galileo offended Pope...Ch. 4 - Prob. 3DQCh. 4 - If you lived on Mars, which planets would describe...Ch. 4 - Galileo’s telescope showed him that Venus has a...Ch. 4 - Galileo’s telescopes were not of high quality by...Ch. 4 - If a planet had an average distance from the Sun...Ch. 4 - If a space probe were sent into an orbit around...Ch. 4 - Neptune orbits the Sun with a period of 164.8...Ch. 4 - Venus’s average distance from the Sun is 0.72 AU...Ch. 4 - The circular velocity of Earth around the Sun is...Ch. 4 - What is the orbital velocity of an Earth satellite...Ch. 4 - Prob. 1LTLCh. 4 - Prob. 2LTLCh. 4 - Why is it a little bit misleading to say that this...Ch. 4 - Prob. 4LTLCh. 4 - Mercury’s orbit hardly deviates from a circle, but...
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