UNDERSTANDING THE UNIVERSE(LL)-W/CODE
3rd Edition
ISBN: 9780393869903
Author: PALEN
Publisher: NORTON
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Chapter 3, Problem 34QAP
To determine
The origin of object in unbound orbit.
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Two celestial bodies whose masses are m1 and m2 are revolving around their common center of mass and the distance between them is L. Assuming that they are both point masses, Find the angular speed, tangential speeds of the masses m1 and m2, and period of the motion.
Universal Gravitational Constant, G=6,6742867E-11 m3 kg / s2(Note that the exponent is negative)Radius of Earth, RE: 6,3781366E+06 mMass of Earth, ME: 5,9721426E+24 kg
m1=10^12kg
m2=10^11kg
L=10^8m
7,27210E+00 m1
3,85280E+00 m2
6,16500E+00 L
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orbit of radius equal to 2/3 of the average orbit radius of Mercury. What would be the
orbital period of such a planet? (Such a planet was once postulated, in part to explain
the precession of Mercury's orbit. It was even given the name Vulcan, although we now
have no evidence that it actually exists. Mercury's precession has been explained by
general relativity.)
A planet in a circular orbit about a star has an orbital radius of 6.90 au. If the star has a mass that is 1.50 times our own Sun's
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T =
Chapter 3 Solutions
UNDERSTANDING THE UNIVERSE(LL)-W/CODE
Ch. 3.1 - Prob. 3.1CYUCh. 3.2 - Prob. 3.2CYUCh. 3.3 - Prob. 3.3CYUCh. 3.4 - Prob. 3.4CYUCh. 3.5 - Prob. 3.5CYUCh. 3 - Prob. 1QAPCh. 3 - Prob. 2QAPCh. 3 - Prob. 3QAPCh. 3 - Prob. 4QAPCh. 3 - Prob. 5QAP
Ch. 3 - Prob. 6QAPCh. 3 - Prob. 7QAPCh. 3 - Prob. 8QAPCh. 3 - Prob. 9QAPCh. 3 - Prob. 10QAPCh. 3 - Prob. 11QAPCh. 3 - Prob. 12QAPCh. 3 - Prob. 13QAPCh. 3 - Prob. 14QAPCh. 3 - Prob. 15QAPCh. 3 - Prob. 16QAPCh. 3 - Prob. 17QAPCh. 3 - Prob. 18QAPCh. 3 - Prob. 19QAPCh. 3 - Prob. 20QAPCh. 3 - Prob. 21QAPCh. 3 - Prob. 22QAPCh. 3 - Prob. 23QAPCh. 3 - Prob. 24QAPCh. 3 - Prob. 25QAPCh. 3 - Prob. 26QAPCh. 3 - Prob. 27QAPCh. 3 - Prob. 28QAPCh. 3 - Prob. 29QAPCh. 3 - Prob. 30QAPCh. 3 - Prob. 31QAPCh. 3 - Prob. 32QAPCh. 3 - Prob. 33QAPCh. 3 - Prob. 34QAPCh. 3 - Prob. 35QAPCh. 3 - Prob. 36QAPCh. 3 - Prob. 37QAPCh. 3 - Prob. 38QAPCh. 3 - Prob. 39QAPCh. 3 - Prob. 40QAPCh. 3 - Prob. 41QAPCh. 3 - Prob. 42QAPCh. 3 - Prob. 43QAPCh. 3 - Prob. 44QAPCh. 3 - Prob. 45QAP
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- Near a massive planet, is gravitational acceleration large or small? Is space strongly curved, or not? What about near a small marble?arrow_forwardWhat would be the Schwarzschild radius, in light years, if our Milky Way galaxy of 100 billion stars collapsed into a black hole? Compare this to our distance from the center, about 13,000 light years.arrow_forwardWhen Sedna was discovered in 2003, it was the most distant object known to orbit the Sun. Currently, it is moving toward the inner solar system. Its period is 10,500 years. Its perihelion distance is 75 AU. a. What is its semimajor axis in astronomical units? b. What is its aphelion distance?arrow_forward
- It was stated that a satellite with negative total energy is in a bound orbit, whereas one with zero or positive total energy is in an unbounded orbit. Why zero or positive total energy is in an unbounded orbit. Why is this true? What choice for gravitational potential energy was made such that this is true?arrow_forwardKepler’s third law says that the orbital period (in years) is proportional to the square root of the cube of the mean distance (in AU) from the Sun (Pa1.5) . For mean distances from 0.1 to 32 AU, calculate and plot a curve showing the expected Keplerian period. For each planet in our solar system, look up the mean distance from the Sun in AU and the orbital period in years and overplot these data on the theoretical Keplerian curve.arrow_forwardA satellite placed in a circular orbit at a radius of 1.5 earth radii (z ~ 3,185 km) has an orbital period of 155 minutes. What is the maximum interval the satellite could maintain a communication link with a ground station? Assume the satellite passes directly overhead the station, but must be at least 15° above the horizon to establish and maintain the communication link. Report your answer in minutes using three significant digits (e.g. 123). What is the maximum communication interval in minutes?arrow_forward
- A satellite placed in a circular orbit at a radius of 1.5 earth radii (z ~ 3,185 km) has an orbital period of 155 minutes. What is the maximum interval the satellite could maintain a communication link with a ground station? Assume the satellite passes directly overhead the station, but must be at least 15° above the horizon to establish and maintain the communication link. Report your answer in minutes using three significant digits (e.g. 123). What is the maximum communication interval in minutes? (Answer: 30.1 Show steps)arrow_forwardThe Earth’s radius is about 6400 km. The International Space Station (ISS) orbits about 400 km above Earth’s surface. So the center-to-center distance between Earth’s center and the space station is about 6800 km. Estimate Earth’s gravitational acceleration at the space station orbital height, giss. Use the ratio approach: giss / g = giss /980 = (6400 /6800)^2 = giss = cm/s^2.arrow_forwardThe International Space Station is in a 270-mile-high orbit. What is the station's orbital speed? The radius of Earth is 6.37×106m6.37×106m, its mass is 5.98×1024kg5.98×1024kg. What is the station's orbital period?arrow_forward
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Kepler's Three Laws Explained; Author: PhysicsHigh;https://www.youtube.com/watch?v=kyR6EO_RMKE;License: Standard YouTube License, CC-BY