Bundle: Foundations of Astronomy, Enhanced, Loose-Leaf Version, 13th + MindTap Astronomy, 2 terms (12 months) Printed Access Card
13th Edition
ISBN: 9781337214353
Author: Seeds, Michael A., Backman, Dana
Publisher: Cengage Learning
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Chapter 4, Problem 3DQ
To determine
The description about kepler and the laws.
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Kepler's 1st law says that our Solar System's planets orbit in ellipses around the Sun where the closest distance to the Sun is called perihelion.
Suppose I tell you that there is a planet with a perihelion distance of 2 AU and a semi-major axis of 1.5 AU.
Does this make physical sense? Explain why or why not.
The table below presents the semi-major axis (a) and Actual orbital period for all of the major planets in the solar system. Cube for each planet the semi-major axis in Astronomical Units. Then take the square root of this number to get the Calculated orbital period of each planet. Fill in the final row of data for each planet.
Table of Data for Kepler’s Third Law:
Table of Data for Kepler’s Third Law:
Planet aau = Semi-Major Axis (AU) Actual Planet Calculated Planet
Period (Yr) Period (Yr)
__________ ______________________ ___________ ________________
Mercury 0.39 0.24
Venus 0.72 0.62
Earth 1.00 1.00
Mars 1.52 1.88
Jupiter…
Measure the periods for each planet.
Measure the orbital radius of each planet.
Calculate the ratios of square of the periods and cubed of the radii for the planets.
Compare the results and comment if your result confirms Kepler's Third Law.
(Pic1 has the yellow and bluw planets points plotted. Pic2 has the grey and red planet plots listed.)
Chapter 4 Solutions
Bundle: Foundations of Astronomy, Enhanced, Loose-Leaf Version, 13th + MindTap Astronomy, 2 terms (12 months) Printed Access Card
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 - Are the spheres of Eudoxus a scientific model? If...Ch. 4 - In Ptolemys model, how do the epicycles of Mercury...Ch. 4 - Prob. 10RQ
Ch. 4 - In Ptolemys model, which of the followingepicycle,...Ch. 4 - Why did Copernicus have to keep small epicycles in...Ch. 4 - Was the belief held by ancient astronomers that...Ch. 4 - When Tycho observed the new star of 1572, he could...Ch. 4 - Prob. 15RQCh. 4 - Does Tychos model of the Universe explain the...Ch. 4 - Name an empirical law. Why is it considered...Ch. 4 - How does Keplers first law of planetary motion...Ch. 4 - When Mercury is at aphelion (farthest from the...Ch. 4 - Prob. 20RQCh. 4 - What is P for Earth? What is a for Earth? Do these...Ch. 4 - Based Figure 4-13c, do planets with larger a take...Ch. 4 - How did the Alfonsine Tables, the Prutenic Tables,...Ch. 4 - Explain how each of Galileos telescopic...Ch. 4 - How did discovery of the Galilean moons disprove...Ch. 4 - Prob. 26RQCh. 4 - How Do We Know? Describe the differences between a...Ch. 4 - Prob. 1DQCh. 4 - Prob. 2DQCh. 4 - Prob. 3DQCh. 4 - Prob. 4DQCh. 4 - Prob. 5DQCh. 4 - Draw and label a diagram of the western horizon...Ch. 4 - If you lived on Mars, which planets would exhibit...Ch. 4 - How long does it take for one retrograde cycle of...Ch. 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 - Uranus orbits the Sun with a period of 84.0 years....Ch. 4 - Prob. 7PCh. 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 - Galileos telescopes were not of high quality by...Ch. 4 - Prob. 1LTLCh. 4 - Study Figures 4-11 and 4-16 and describe the...Ch. 4 - What three astronomical objects are represented...Ch. 4 - Use the figure below to explain how the Ptolemaic...
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- Using Kepler’s Third Law (r3 = MT2 where M is the mass of the central star) find the orbital radius in astronomical units of this planet. M = 1.5 times the mass of the sun. Remember to convert days to years using 365.25 as the length of a year in days. Key Points to know: - The semimajor axis of the planet in AU is r = 0.0379 AU - The circumference of the orbit is l = 3.562 x 10^10 m - The orbital velocity in m/s is v = 1.874 x 10^5 m/s Questions that need to be answered: - With that orbital velocity, the radius of the orbit in meters, find the centripetal acceleration of our exoplanet: - Knowing the acceleration that our planet experiences, calculate the force that the host star exerts on the planet: - Knowing the force on the planet, the orbital radius, and the mass of the parent star, use the equation for gravitational force to find the mass of our planet (m2). (To get m1 in kg multiply the mass of the star in solar masses by 1.98 x 1030).arrow_forwardTwo exoplanets, UCF1.01 and UCF1.02 are found revolving around the same star. The period of planet UCF1.01 is 4.8 days, and that of planet UCF1.02 is 5.2 days. If the average distance of planet A to the sun is 2,885.4 km, what is the average distance of planet B to the sun km? Please keep four digits after decimal points.arrow_forwardWrite down an expression for the gravitational filed strength of a planet of radius R and density p. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate without the quotes). For Greek letters such as p and use rho and pi. For gravitational constant, please use G. Please use the "Display response" button to check you entered the answer you expect. Display responsearrow_forward
- Please answer the question and subquestions completely! This is one whole question which has subquestions! According to the official Bartleby guidelines, each question can have up to two subquestions! Thank you! 1) Use Kepler's Law to find the time (in Earth’s years) for Mars to orbit the Sun if the radius of Mars’ orbit is 1.5 times the radius of Earth's orbit. 1.8 2.8 3.4 4.2 A) The mass of Mars is about 1/10 the mass of Earth. Its diameter is about 1/2 the diameter of Earth. What is the gravitational acceleration at the surface of Mars? 9.8 m/s2 2.0 m/s2 3.9 m/s2 4.9 m/s2 none of these B) A 9.0 x 10 3 kg satellite orbits the Earth at the distance of 2.56 x 10 7 m from Earth’s surface. What is its period? 1.1 x 10 4 s 4.1 x 10 4 s 5.7 x 10 4 s 1.5 x 10 5 sarrow_forwardWhat is P for Earth? What is a for Earth? Do these values support or disprove Keplers third law?arrow_forwardWhy did Kepler need Tycho Brahe’s data to formulate his laws?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