Can you explain TRIGONOMETRY equation [HELP]

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SUMMARY

The equation for calculating the signal length from a satellite to an Earth station is derived as 2(hs-he)/[{sin^2(theta)+(2(hs-he)/Re)}^1/2+sin(theta)] when theta is less than 5 degrees, where "hs" represents satellite height, "he" denotes Earth station height, and "Re" is the Earth radius, specifically 3700 km. This formula accounts for the Earth's projection and requires a clear diagram that includes the center of the Earth for accurate visualization. Understanding this derivation is essential for grasping the relationship between satellite height and signal transmission.

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rihanna
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The signal length from the satellite to the Earth station can be found as2(hs-he)/[{sin^2(theta)+(2(hs-he)/Re)}^1/2+sin(theta)] if theta < 5 degrees Due to the Earth projection

where "hs" is satellite height and "he" is the Earth station height and Re is the Earth radius=3700 Km

My question is Can you help me to derive this equation? how they have obtained it?

Regards
 
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welcome to pf!

hi rihanna! welcome to pf! :smile:

first, draw a clearly marked diagram :wink:

(including the centre of the earth)
 

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