ôf a star (m), the extinction coefficient (k), and air mass (X). Dr atmosphere case). What is a good approximati ns of zenith angle (z)? Show how this is so, tri:

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Write down the equation relating the observed magnitude of a star (m), the outside-
atmosphere magnitude (m,), extinction coefficient (k), and air mass (X). Draw a sketch
relating these (plane-parallel atmosphere case). What is a good approximation for the
value of X (air mass), in terms of zenith angle (z)? Show how this is so, trigonometrically,
on your sketch.
What are the values of X for z 60° and z= 70°?
Transcribed Image Text:Write down the equation relating the observed magnitude of a star (m), the outside- atmosphere magnitude (m,), extinction coefficient (k), and air mass (X). Draw a sketch relating these (plane-parallel atmosphere case). What is a good approximation for the value of X (air mass), in terms of zenith angle (z)? Show how this is so, trigonometrically, on your sketch. What are the values of X for z 60° and z= 70°?
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