receives from the Sun by 8.7 ×10-10 LO. Jupiter's radius is 7.1 ×109 cm and its mass is 1.9 ×10 omputo itc di n: amica land thern

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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 ×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.
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 ×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.
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