Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 15, Problem 5Q
To determine
The time of night at which Pallas was highest in the sky over Olbers’s observatory, when in March 1802, Olbers discovererd the asteroid Pallas while it was moving to west from east realtive to the stars.
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If a trillion (1012) asteroids, each 9 km in diameter, were assembled into one spherical body, how large (in km) would it be? (Note: The volume of a sphere
=
4
3
?r3.)
km
Compare that body's size to the size of Earth given in its celestial profile.
d
dEarth
=
Suppose an asteroid has a semimajor axis of 4 AU. How long does it take the asteroid to go around the Sun? (a) 2 years (b) 4 years (c) 6 years (d) 8 years
At what average distances (in AU) from the Sun would you expect to find Kirkwood gaps where the orbital period of asteroids are respectively four-ninths, and three-sevenths, of the orbital period of Jupiter? (Hint: use Kepler's third law.)
Compare your results with the figure.
Chapter 15 Solutions
Universe
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- If a trillion (1012) asteroids, each 1 km in diameter, were assembled into one spherical body, how large would that the spherical body be? Compare that bodys size to the size of Earth given in its Celestial Profile. (Note: The volume of a sphere = 43r3.)arrow_forwardMeteorites were once part of which type of celestial object?arrow_forwardWhat is the difference between a meteoroid and an asteroid? Is there a sharp distinction?arrow_forward
- The mass of an average comets nucleus is about 1.0 1014 kg. If the Oort Cloud contains 2.0 1011 comet nuclei, what is the mass of the cloud in units of Earth masses? In units of Jupiters mass? (Notes: Earths mass in kg can be found in its Celestial Profile. Jupiters mass in kg can be found in its Celestial Profile.)arrow_forwardWhy do meteors in a meteor shower appear to come from just one point in the sky?arrow_forwardYou observe a comet 0.46 AU from Earth with a tail that is 1.7 degrees long. How long is the tail in AU? How long is the tail in kilometers? How many times could the U.S. fit along the length of the tail? (The width of the U.S. is 4,313 km.)arrow_forward
- The Tunguska asteroid is estimated to have had a diameter of 50 m, and to have produced an explosion equivalent to 10 megatons of TNT (1 megaton = 4.2 x 1015 joules). Assume that the asteroid was a sphere with density 2 g/cm3. Using the kinetic energy formula K = ½ mv2, where m is the mass and v is the speed, to estimate the speed of the asteroid. Assume that all kinetic energy is converted into the energy of the explosion. Give your answer in km/s with one significant figure.arrow_forwardApproximately how many asteroids that are 0.99 km in radius would it take to make a planet which has a radius of 6460.0 km?arrow_forwardIf asteroid Toutatis were to pass somewhere within 24 x105 km of planet Syrene, what is the probability that it would strike the Syrene? Calculate the probability by considering an imanginary dartboard of radius 24 x105 km in which the bulls-eye has Syrene's radius, 6500.0 km. Assume the radius of Toutatis is much smaller than the radius of Syrene.arrow_forward
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