Horizons: Exploring the Universe (MindTap Course List)
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 2P

Galileo’s telescope showed him that Venus has a large angular diameter (61 arc seconds) when it is a crescent and a small angular diameter (10 arc seconds) when it is nearly full. Use the small-angle formula to find the ratio of its maximum distance to its minim um distance. Is this ratio compatible with the Ptolemaic shown on the right-hand page of Concept Art 4A? (Hint: See Reasoning with Numbers 3-1.)

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A planet's speed in orbit is given by     V = (30 km/s)[(2/r)-(1/a)]0.5   where V is the planet's velocity, r is the distance in AU's from the Sun at that instant, and a is the semimajor axis of its orbit.  Calculate the Earth's velocity in its orbit (assume it is circular):        What is the velocity of Mars at a distance of 1.41 AU from the Sun?       What is the spacecraft's velocity when it is 1 AU from the Sun (after launch from the Earth)?       What additional velocity does the launch burn have to give to the spacecraft? (i.e. What is the difference between the Earth's velocity and the velocity the spacecraft needs to have?)        How fast will the spacecraft be traveling when it reaches Mars?       Does the spacecraft need to gain or lose velocity to go into the same orbit as Mars?
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First we will do a simulation of Eratosthenes measurement of the size of our planet over 2000 years ago, but we will do it on a hypothetical planet. At one location on that planet at noon, the light from its star comes in directly overhead. At another town 200 miles due South, the shadows cast by the towers in that town indicate that the sunlight is coming in at an angle of approximately 10 degrees from directly overhead. Using this information (and the fact that there are 360 degrees in a circle and that the diameter of a circle is equal to the circumstances divided by pi), please show your work to explain what the circumstances and diameter of this new planet is

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Horizons: Exploring the Universe (MindTap Course List)

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