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100 200 300 400

Temperature (K)

100 200 300 400

Temperature (K)

Temperature distributions in the atmospheres of Jupiter and Saturn. Since we don't know where the surfaces are, we use as our reference point the place where the pressure is 0.1 atmosphere.The colors written along each curve indicate the dominant color material at that temperature.

solution

Jupiter's luminosity is given by its surface area 4-nRj, multiplied by the total power per unit area oTj4, or

The power received from the Sun is the solar luminosity (4kR|> )(vTq ), divided by the area of a sphere at the distance of Jupiter from the Sun, 4wd2, where d is the distance of Jupiter from the Sun, and multiplied by the projected area of Jupiter kR2, or

Taking the ratio of these gives

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