21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 3, Problem 30QP
To determine
What are changes in the Earth if the eccentricity of its orbit is changed to 0.17.
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PLANETARY MOTION: Supply the missing value for the eccentricities of the
planets
Planet
Aphelion
Perihelion
Eccentricity
Planet A
2.00
1.00
???
Planet B
5.00
4.00
0.11
Planet C
3.00
2.50
0.91
0.33
0.91
0.25
O 0.20
Io, one of Jupiter's moons discovered by Galileo, has an orbital period of 1.769 days and a semimajor axis of 0.42 × 10°m.
Estimate the mass M of Jupiter.
Assume G = 6.673 × 10-11 m³ kg¬1 s-2.
(Use decimal notation. Give your answer to three decimal places.)
The mass of Mars is 6.42 × 10^23 kg. Its moon Phobos is 9.378 x 10^6 meters away from Mars, with a mass of 1.06 × 10^16 kg and a period of 7.66 hours. It's moon Deimos has a mass of 1.4762×10^15 kg and a period of 30.3 hours. a) Use Kepler's 3rd law to determine the orbital distance between Mars and Deimos? b) What is the tangential velocity of Phobos, using the formula v(tangential) = sqrt (G x m(central)/ r)? c) What is the gravitational force of attraction between Mars and Phobos.
Chapter 3 Solutions
21st Century Astronomy
Ch. 3.1 - Prob. 3.1ACYUCh. 3.1 - Prob. 3.1BCYUCh. 3.2 - Prob. 3.2CYUCh. 3.3 - Prob. 3.3CYUCh. 3.4 - Prob. 3.4CYUCh. 3 - Prob. 1QPCh. 3 - Prob. 2QPCh. 3 - Prob. 3QPCh. 3 - Prob. 4QPCh. 3 - Prob. 5QP
Ch. 3 - Prob. 6QPCh. 3 - Prob. 7QPCh. 3 - Prob. 8QPCh. 3 - Prob. 9QPCh. 3 - Prob. 10QPCh. 3 - Prob. 11QPCh. 3 - Prob. 12QPCh. 3 - Prob. 13QPCh. 3 - Prob. 14QPCh. 3 - Prob. 15QPCh. 3 - Prob. 16QPCh. 3 - Prob. 17QPCh. 3 - Prob. 18QPCh. 3 - Prob. 19QPCh. 3 - Prob. 20QPCh. 3 - Prob. 21QPCh. 3 - Prob. 22QPCh. 3 - Prob. 23QPCh. 3 - Prob. 24QPCh. 3 - Prob. 25QPCh. 3 - Prob. 26QPCh. 3 - Prob. 27QPCh. 3 - Prob. 28QPCh. 3 - Prob. 29QPCh. 3 - Prob. 30QPCh. 3 - Prob. 31QPCh. 3 - Prob. 32QPCh. 3 - Prob. 33QPCh. 3 - Prob. 34QPCh. 3 - Prob. 35QPCh. 3 - Prob. 36QPCh. 3 - Prob. 37QPCh. 3 - Prob. 38QPCh. 3 - Prob. 39QPCh. 3 - Prob. 40QPCh. 3 - Prob. 41QPCh. 3 - Prob. 42QPCh. 3 - Prob. 43QPCh. 3 - Prob. 44QPCh. 3 - Prob. 45QP
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- Io, a satellite of Jupiter, has an orbital period of 1.77 days and an orbital radius of 4.22 105 km. From these data, determine the mass of Jupiter.arrow_forwardScientists want to place a 4 × 103 kg satellite in orbit around Mars. They plan to have the satellite orbit at a speed of 2330 m/s in a perfectly circular orbit. Here is some information that may help solve this problem: mmars = 6.4191 x 1023 kgrmars = 3.397 x 106 mG = 6.67428 x 10-11 N-m2/kg2 1.)Which of the following quantities would change the radius the satellite needs to orbit at? a.)the mass of the satellite b.)the mass of the planet c.)the speed of the satellite 2.)What should the speed of the orbit be, if we want the satellite to take 8 times longer to complete one full revolution of its orbit?arrow_forwardThe mass of Mars is 6.42 × 10^23 kg. Its moon Phobos is 9.378 x 10^6 meters away from Mars, with a mass of 1.06 × 10^16 kg and a period of 7.66 hours. It's moon Deimos has a mass of 1.4762x10^15 kg and a period of 30.3 hours. a) Use Kepler's 3rd law to determine the orbital distance between Mars and Deimos? b) What is the tangential velocity of Phobos, using the formula v (tangential) = sqrt (G x m(central)/ r)? c) What is the gravitational force of attraction between Mars and Phobos.arrow_forward
- The distance between the Earth and Mars when the two planets are at opposition varies greatly because of the large eccentricity of Mars's orbit. The perihelion distance of a planet is given by rmin = a (1-e) and the aphelion distance by rmax = a (1 + e) where a is the semimajor axis and e the orbital eccentricity. Find the smallest and largest opposition distances assuming that the Earth's orbit is a circle.arrow_forwardThe Moon has a period of 27.3 days and a mean distance of 3.9x105 km from its center to the center of Earth. a)Use Kepler's laws to find the period of a satellite in orbit 6.70x 10 km from the center of Earth. b) How far above Earth's surface is this satellite?arrow_forwardThere is a planet X that has a mass that is 24 times that of the earth and 4 times the earth's raidus. It orbits a star Y at a distance of 12 AU. (1 AU is the earth sun distance). Star Y has a mass 3 times that of our sun.What is the orbital period of Planet X in years?If an person has an earth weight of 140 lbs, what is it's weight on the surface of planet X?arrow_forward
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