Understanding Our Universe
3rd Edition
ISBN: 9780393614428
Author: PALEN, Stacy, Kay, Laura, Blumenthal, George (george Ray)
Publisher: W.w. Norton & Company,
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Chapter 9, Problem 21QAP
To determine
The reason why astronomers are interested in asteroids crossing the Earth’s orbit.
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An asteroid orbits the sun in a circle with a period P of 12 years. About how far from the Sun is it? (Remember that P2 = a3, and the Earth goes around the Sun with P = 1 year and a = 1 AU)
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Chapter 9 Solutions
Understanding Our Universe
Ch. 9.1 - Prob. 9.1CYUCh. 9.2 - Prob. 9.2CYUCh. 9.3 - Prob. 9.3CYUCh. 9.4 - Prob. 9.4CYUCh. 9.5 - Prob. 9.5CYUCh. 9.6 - Prob. 9.6CYUCh. 9 - Prob. 1QAPCh. 9 - Prob. 2QAPCh. 9 - Prob. 3QAPCh. 9 - Prob. 4QAP
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- "They were in Lucky's ship, the Shooting Star, which was in orbit around Jupiter, once it had matched its speed with Jupiter Nine, the outermost satellite of the gigantic planet. The satellite remained stationary at a distance of 1,500 km from the ship. Officially, its name was Adrastea, but except for the largest and closest ones, Jupiter's satellites were usually known by numbers. Jupiter Nine was only 142 km in diameter, and was really just an asteroid, but it seemed larger than distant Jupiter at 23 million km" (actually the mean distance from Adrastea to Jupiter is R = 128924 km and its diameter of 16 km). A representation of the text is shown in the figure. If Adrastea's escape velocity is 62 km the value of the mass, Select one: O O 2.867 x 1020 1.664 x 101⁹ 1.779x 1013 4.006 X 106 kg, is: Adrastea Júpiter R Shooting Star 1500 kmarrow_forwardIo 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 MJarrow_forwardJupiter has a 320 times bigger mass and a 1320 times bigger volume than Earth, and its day lasts 9 hours and 50 minutes. How high should a satellite be so that it constantly orbits above the same point of the equator? (The solution is 89400 km)arrow_forward
- A 2,750 kg satellite is expected to be launched 530km above the surface of the moon. What is its radius? What speed will it have?; What is its orbital period?; What is its radial acceleration? (Hint: Moon’s mass is 0.07346 x 10^24 kg ; radius is 1738.1km)arrow_forwardWhat is the difference in orbital velocity between Saturn's two coorbital satellites if the semimajor axes of their orbits are 151,400 km and 151,500 km?arrow_forwardThe asteroid Icarus has a perihelion distance of 0.19 AU, an orbital eccentricity of 0.83 and semi major axis of 1.12 AU. What is its aphelion distance from the Sun?arrow_forward
- Consider a spherical asteroid with radius 28.2 km and mass of 5.69 x 1018 kg. The acceleration due to gravity at the surface of the asteroid is ? Possibly useful: Fg=Gm1m2/r2 G=6.67 x 10-11 Nm2/kg2arrow_forward10 Jup Europa Figure I Ganymedearrow_forwardQuestion 5. Calculate the orbital speed on an asteroid that orbits the sun with a mean orbital radius of 10.0 AU.arrow_forward
- The Great Red Patch is the name given to Jupiter's large red spot.Is it possible to forecast how long it will take for the planet to complete its rotation?arrow_forwardA satellite in the shape of a sphere of mass 20,000 kg and radius 5.0 m is spinning about an axis through its center of mass. It has a rotation rate of 8.0 rev/s. Two antennas deploy in the plane of rotation extending from the center of mass of the satellite. Each antenna can be approximated as a rod has mass 200.0 kg and length 7.0 m. What is the new rotation rate of the satellite?arrow_forwardWhat is the average distance from the Sun (in astronomical units) of an asteroid with an orbital period of 8 years?arrow_forward
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