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 7P

Venus’s average distance from the Sun is 0.72 AU and Saturn’s is 9.54 AU. Calculate the circular orbital velocity of Venus and Saturn around the Sun. (Notes: The mass of the Sun is 1.99 × 10 30 kg. An AU is 1.50 × 10 11 m.)

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Io orbits Jupiter at an average distance of 4.22 105 km with an orbital period of 0.00485 yr. The Moon, which is one of the satellites of the Earth, orbits its parent at an average distance of 3.84 105 km with an orbital period of 0.07481 yr. (a) Use the above information to find the orbital speeds of Io around Jupiter and of the Moon around the Earth. vMoon = m/s vIo = m/s (b) What is the expression for the mass M of the parent in terms of the orbital speed v of the satellite, the orbital radius R of the satellite and the gravitational constant G? (Do not substitute numerical values; use variables only.)M =  (c) Now use your answers from parts (a) and (b) to find the ratio of the mass of the Earth to that of Jupiter.   ME MJ
The solar system has a planet with an orbital period T1b=1.51d and an orbital radius of R1b=1.6456x10^6km. Another planet in the system has an orbital radius of R1f=5.5352x10^6 km. Calculate its orbital period in days.
1 AU = 1.496 x10^11 m

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Horizons: Exploring the Universe (MindTap Course List)

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