Universe: Stars And Galaxies
6th Edition
ISBN: 9781319115098
Author: Roger Freedman, Robert Geller, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 4, Problem 10Q
To determine
The Planets that can never be seen at the opposition and the Planet that never pass through inferior conjunction.
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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.
Which of the following is true in our solar system?
1.
The planets travel in a circular path, with the sun being in the very center.
2.
The planets travel in an elliptical path, with the sun being in the very center.
3.
The planets travel in an elliptical path, with the sun at one of the focus points.
4.
The planets travel in a helical path, with the sun located along the central axis.
Write 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 response
Chapter 4 Solutions
Universe: Stars And Galaxies
Ch. 4 - Prob. 1QCh. 4 - Prob. 2QCh. 4 - Prob. 3QCh. 4 - Prob. 4QCh. 4 - Prob. 5QCh. 4 - Prob. 6QCh. 4 - Prob. 7QCh. 4 - Prob. 8QCh. 4 - Prob. 9QCh. 4 - Prob. 10Q
Ch. 4 - Prob. 11QCh. 4 - Prob. 12QCh. 4 - Prob. 13QCh. 4 - Prob. 14QCh. 4 - Prob. 15QCh. 4 - Prob. 16QCh. 4 - Prob. 17QCh. 4 - Prob. 18QCh. 4 - Prob. 19QCh. 4 - Prob. 20QCh. 4 - Prob. 21QCh. 4 - Prob. 22QCh. 4 - Prob. 23QCh. 4 - Prob. 24QCh. 4 - Prob. 25QCh. 4 - Prob. 26QCh. 4 - Prob. 27QCh. 4 - Prob. 28QCh. 4 - Prob. 29QCh. 4 - Prob. 30QCh. 4 - Prob. 31QCh. 4 - Prob. 32QCh. 4 - Prob. 33QCh. 4 - Prob. 34QCh. 4 - Prob. 35QCh. 4 - Prob. 36QCh. 4 - Prob. 37QCh. 4 - Prob. 38QCh. 4 - Prob. 39QCh. 4 - Prob. 40QCh. 4 - Prob. 41QCh. 4 - Prob. 42QCh. 4 - Prob. 43QCh. 4 - Prob. 44QCh. 4 - Prob. 45QCh. 4 - Prob. 46QCh. 4 - Prob. 47QCh. 4 - Prob. 48QCh. 4 - Prob. 49QCh. 4 - Prob. 50QCh. 4 - Prob. 51QCh. 4 - Prob. 52QCh. 4 - Prob. 53QCh. 4 - Prob. 54QCh. 4 - Prob. 55QCh. 4 - Prob. 56QCh. 4 - Prob. 57QCh. 4 - Prob. 58Q
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- You are planning a dream vacation to Mars. For the orbital dynamics part of the vacation planning assume that Earth is in a circular orbit 1.00 AU from the Sun and Mars is in a circular orbit 1.52 AU from the Sun. Assume the the orbits of Earth and Mars are coplanar and that they go around the Sun the same way. The orbit you plan to use for your trip is an ellipse with the Sun at one focus (Kepler's 1st Law). The perihelion of the ellipse is at Earth's orbit at 1.00 AU and the aphelion is at Mars' orbit at 1.52 AU. Your spacecraft will go around the Sun in the same sense as Earth and Mars. The orbit you have chosen is called a Hohmann Transfer Orbit. A. What is the semi-major axis a of the spacecraft's orbit? What is the eccentricity of the spacecraft's orbit? B. What is the orbital period of the spacecraft? How long does it take to get to Mars? How long does it take to get back? C. When (at what Earth - Mars configuration) do you launch to go? In other words, where does Mars need to…arrow_forwardHow does the rotation of Earth affect the apparent weight of a 1 kg mass at the equator? Does this effect on the apparent weight happen everywhere on Earth's surface? Justify your answers.arrow_forwardSuppose you're in a circular orbit around Saturn (M = 5.683 x 1026 kg) with a semi-major axis of a = 237,948 km. a. What is your orbital velocity? b. Using the "Vis-viva" equation (which can be derived from the total energy) v = GM What is the delta-V you would need to get from your current orbit, into an elliptical orbit that has an apoapsis near Titan (a = 1,221,870 km)?arrow_forward
- Write 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 a use rho and pi. Please use the "Display response" button to check you entered the answer you expect. g= Display responsearrow_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 t use rho and pi. Please use the "Display response" button to check you entered the answer you expect. Display responsearrow_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 t use rho and pi. Please use the "Display response" button to check you entered the answer you expect. g=arrow_forward
- I. Directions: Complete the given table by finding the ratio of the planet's time of revolution to its radius. Average Radius of Orbit Times of Planet R3 T2 T?/R3 Revolution Mercury 5.7869 x 1010 7.605 x 106 Venus 1.081 x 1011 1.941 x 107 Earth 1.496 x 1011 3.156 x 107 1. What pattern do you observe in the last column of data? Which law of Kepler's does this seem to support? II. Solve the given problems. Write your solution on the space provided before each number. 1. You wish to put a 1000-kg satellite into a circular orbit 300 km above the earth's surface. Find the following: a) Speed b) Period c) Radial Acceleration Given: Unknown: Formula: Solution: Answer: Given: Unknown: Formula: Solution: Answer: Given: Unknown: Formula: Solution: Answer:arrow_forwardConfused on where to start when finding the orbital radius between the two planets. Given : planet mass 9.2 x10^2kg, sun mass 1.4 x10^35kg, and g= 17.3m/s^2arrow_forwardIf you lived on Mars, which planets would describe retrograde loops? Which would never be visible as crescent phases?arrow_forward
- Which major planet has the largest . . . A. semimajor axis? B. average orbital speed around the Sun? C. orbital period around the Sun? D. eccentricity?arrow_forwardWhat is an asterism? Can you name an example?arrow_forwardThe Sun occupies an angle of approximately 0.5 degrees to us on Earth, at a distance of 150 million kilometers from the Sun. Given this information, calculate the Sun's radius.arrow_forward
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