The Solar System
9th Edition
ISBN: 9781305804562
Author: Seeds
Publisher: Cengage
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Let's use Kepler's laws for the inner planets. Use the following distances from the sun to calculate the orbital period for each of these planets. Express your answer in terms of Earth years to two significant figures.
Note: Use Kepler's law directly. Don't just Google the answers, as they will be a little bit different.
When you have calculated them, only submit the value for Mercury.
Planet
Distance from the sun
Period of orbit around the sun
Earth
150 million km
___ Earth years
Mercury
58 million km
___ Earth years
Venus
108 million km
___ Earth years
Mars
228 million km
___ Earth years
At what average distances (in AU) from the Sun would you expect to find Kirkwood gaps where the orbital period of asteroids are respectively four-ninths, and three-sevenths, of the orbital period of Jupiter? (Hint: use Kepler's third law.)
Compare your results with the figure.
What would be the period of revolution of a hypothetical planet whose circular orbit around the sun has a radius of 1.75 AU? (Hint: 1 AU = 1 Astronomical Unit = 1.5*1011)
a) 2.3 yrs
b) 1.45 yrs
c) 2.9 yrs
Chapter 4 Solutions
The Solar System
Ch. 4 - Prob. 1RQCh. 4 - Why did early human cultures observe astronomical...Ch. 4 - Prob. 3RQCh. 4 - Name one example each of a famous politician,...Ch. 4 - Why did Plato propose that all heavenly motion was...Ch. 4 -
On what did Plato base his knowledge? Was it...Ch. 4 - Which two-dimensional (2D) and three-dimensional...Ch. 4 - Prob. 8RQCh. 4 - In Ptolemys model, how do the epicycles of Mercury...Ch. 4 - Describe in detail the motions of the planets...
Ch. 4 - Prob. 11RQCh. 4 - Prob. 12RQCh. 4 - Prob. 13RQCh. 4 -
When Tycho observed the new star of 1572, he...Ch. 4 - Assume the night is clear and the Moons phase is...Ch. 4 - Does Tychos model of the Universe explain the...Ch. 4 - Name an empirical law. Why is it considered...Ch. 4 -
How does Kepler’s first law of planetary motion...Ch. 4 - Prob. 19RQCh. 4 - Prob. 20RQCh. 4 - Prob. 21RQCh. 4 - Prob. 22RQCh. 4 - Prob. 23RQCh. 4 - Prob. 24RQCh. 4 - Prob. 25RQCh. 4 - Prob. 26RQCh. 4 - Prob. 27RQCh. 4 - Why might Tycho Brahe have hesitated to hire...Ch. 4 - Prob. 1PCh. 4 -
If you lived on Mars, which planets would exhibit...Ch. 4 - Prob. 3PCh. 4 - If a planet has an average distance from the Sun...Ch. 4 - If a space probe is sent into an orbit around the...Ch. 4 - Prob. 6PCh. 4 -
One planet is three times farther from the Sun...Ch. 4 - Galileos telescope showed him that Venus has a...Ch. 4 - Which is the phase of Venus when it is closest?...Ch. 4 - Prob. 11PCh. 4 - Prob. 1LTLCh. 4 - Prob. 2LTLCh. 4 - What three astronomical objects are represented...Ch. 4 - Use the figure below to explain how the Ptolemaic...
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- Who is Isaac Newton and why is he so famous? Plz don’t use chatgpt or any ai !!!arrow_forwardWhich evidence first supported the heliocentric model of the solar system? A. Mapping of stars using the unaided eye B. Taking pictures of distant galaxies with statellite-based cameras C. Determining that planets orbit in elliptical paths with telescope D. Observing the surface features of nearby planets and moons with telescopesarrow_forwardFor problems requiring calculations, show the equation you will use to solve, your work, your answer, and correct units. E F=ma 6. A woman has a mass of 30 kg on earth (9am.-9.8m/s*). What is her weight? 7. The same 30 kg woman weighs 245 N on Ceres. What is the acceleration due to gravity on Ceres? 8. A man in the "Strong Man" competition pushes a 1500 kg vehicle with an acceleration of 3 m/s2? How much force did the man exert on the vehicle? 9. Using your answer from the previous question, what force did the vehicle exert on the man?arrow_forward
- One year on Mars is as long as 1.88 years on earth. How many seconds is a Martian year? Please give the correct answerarrow_forwardIf Captain Nemo traveled 20,000 leagues under the sea, and 1 league is equal to 3.5 miles, then how many miles did he travel?arrow_forwardList some reasons that the study of the planets has progressed more in the past few decades than any other branch of astronomy.arrow_forward
- In Ptolemys model, how do the epicycles of Mercury and Venus differ from those of Mars, Jupiter, and Saturn?arrow_forwardAccording to Kepler's third law, if planet A takes 10 years to travel around its star at a distance of 8 AU. then how many years will planet B take to orbit at a distance of 174 AU.arrow_forward
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Kepler's Three Laws Explained; Author: PhysicsHigh;https://www.youtube.com/watch?v=kyR6EO_RMKE;License: Standard YouTube License, CC-BY