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Firben

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## Homework Statement

You have a geostationary satellite (location 0◦N 0◦E, 36000 km above geoid). Assume the Earth to be spherical with a radius of REarth = 6372km

When observing a region centered at 60◦N 0◦E:

What is the incidence angle of the satellite’s line of sight (at pixel center; surface parallel≡ 0 ◦ , nadir≡ 90◦ )?

## Homework Equations

φ = 60◦

r = 6370 km

## The Attempt at a Solution

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http://s716.photobucket.com/user/Pitoraq/media/Rs_zpstcj5qby5.png.html?sort=3&o=0

Im not sure how to calculate the angle of incidence by that figure. This is from an exam and the solution is:

b = r × sin φ = 5517 km

a = r − r × cos φ = 3185 km

scan-angle (off nadir) β: tan β = b/(h+a) = 5517/(36000+3185) = 0.1408, β = 8.014◦

parallel surface: 90◦ − φ = 30◦

incidence-angle: γin = 90◦ − (φ + β) = 21.99◦

where do they get the relation 90◦ − φ = 30◦ from ? and where is β in my figure ?

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