Jupiter radiates more energy than it receives from the Sun by 8.7 ×10–10 LO. Jupiter's radius is 7.1 x109 cm and its mass is 1.9 ×1030 g. Compute its dynamical and thermal timescales. (b) Can we assume that Jupiter is in hydrostatic equilibrium? (c) Could gravitational contraction have powered Jupiter's luminosity for its entire 4.5 Gyr lifetime? (d) Use conservation of energy to estimate the rate at which Jupiter's radius is shrinking to power this radiation. You may ignore the factor of order unity that arises from Jupiter's unknown density distribution.
Jupiter radiates more energy than it receives from the Sun by 8.7 ×10–10 LO. Jupiter's radius is 7.1 x109 cm and its mass is 1.9 ×1030 g. Compute its dynamical and thermal timescales. (b) Can we assume that Jupiter is in hydrostatic equilibrium? (c) Could gravitational contraction have powered Jupiter's luminosity for its entire 4.5 Gyr lifetime? (d) Use conservation of energy to estimate the rate at which Jupiter's radius is shrinking to power this radiation. You may ignore the factor of order unity that arises from Jupiter's unknown density distribution.
Foundations of Astronomy (MindTap Course List)
14th Edition
ISBN:9781337399920
Author:Michael A. Seeds, Dana Backman
Publisher:Michael A. Seeds, Dana Backman
Chapter8: The Sun
Section: Chapter Questions
Problem 8P
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![Jupiter radiates more energy than it
receives from the Sun by 8.7 x10-10 LO.
Jupiter's radius
is 7.1 x109 cm and its mass is 1.9 x1030 g.
Compute its dynamical and thermal
timescales.
(b) Can we assume that Jupiter is in
hydrostatic equilibrium?
(c) Could gravitational contraction have
powered Jupiter's luminosity for its entire
4.5 Gyr lifetime?
(d) Use conservation of energy to estimate
the rate at which Jupiter's radius is
shrinking to power
this radiation. You may ignore the factor of
order unity that arises from Jupiter's
unknown density
distribution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F76ba78c6-d5c4-4401-85a3-e4493a86dd0a%2F545c0c4f-8dd4-41a6-8ee1-6b7b782f2057%2Frn022t0a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Jupiter radiates more energy than it
receives from the Sun by 8.7 x10-10 LO.
Jupiter's radius
is 7.1 x109 cm and its mass is 1.9 x1030 g.
Compute its dynamical and thermal
timescales.
(b) Can we assume that Jupiter is in
hydrostatic equilibrium?
(c) Could gravitational contraction have
powered Jupiter's luminosity for its entire
4.5 Gyr lifetime?
(d) Use conservation of energy to estimate
the rate at which Jupiter's radius is
shrinking to power
this radiation. You may ignore the factor of
order unity that arises from Jupiter's
unknown density
distribution.
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