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Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
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Can you solve all part of this question 

A small satellite is in orbit around the Earth at a height of 1500 km above the surface. It has a
mass of 100 kg, a diameter of 1 m, an absorptivity of 0.8 for IR radiation and 0.4 for visible
radiation.
a) What solid angle does the Earth subtend when viewed from the satellite?
b) Calculate the radiative equilibrium temperature of the satellite when it is in the shadow of the
Earth.
c) What is the radiative equilibrium temperature of the satellite at the moment when it passes
completely out of the shadow of the Earth? (Note that at this time the Earth is still completely
dark when viewed from the satellite.)
Transcribed Image Text:A small satellite is in orbit around the Earth at a height of 1500 km above the surface. It has a mass of 100 kg, a diameter of 1 m, an absorptivity of 0.8 for IR radiation and 0.4 for visible radiation. a) What solid angle does the Earth subtend when viewed from the satellite? b) Calculate the radiative equilibrium temperature of the satellite when it is in the shadow of the Earth. c) What is the radiative equilibrium temperature of the satellite at the moment when it passes completely out of the shadow of the Earth? (Note that at this time the Earth is still completely dark when viewed from the satellite.)
Information
Earth-Sun mean distance: 149.598 x 10⁹ m
Radius of Sun: 6.96 x 108 m
Radius of Earth: 6371 x 10³ m
Effective temperature of Sun: 5770 K
Cross sectional area of a sphere: R²
Surface area of a sphere: 47R²
Solid Angle: 2 = Area on sphere/R²; d = sin0d0dø
Transcribed Image Text:Information Earth-Sun mean distance: 149.598 x 10⁹ m Radius of Sun: 6.96 x 108 m Radius of Earth: 6371 x 10³ m Effective temperature of Sun: 5770 K Cross sectional area of a sphere: R² Surface area of a sphere: 47R² Solid Angle: 2 = Area on sphere/R²; d = sin0d0dø
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