What is the Colatitude Angle in Gravitation?

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SUMMARY

The discussion focuses on the colatitude angle relevant to geostationary satellites and their visibility from different points on Earth. Participants seek clarification on how the colatitude affects the satellite's position relative to the viewing horizon. The colatitude is defined as the complement of latitude, and understanding this angle is crucial for determining the visibility of satellites as one moves north or south. The specific angle in question is derived from the orbital radius of the satellite and the Earth's curvature.

PREREQUISITES
  • Understanding of geostationary satellites and their orbital mechanics
  • Basic knowledge of spherical geometry and angles
  • Familiarity with colatitude and its calculation
  • Ability to interpret trigonometric functions, such as sine
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  • Research the mathematical derivation of colatitude in relation to satellite visibility
  • Learn about the orbital mechanics of geostationary satellites
  • Explore the impact of Earth's curvature on satellite communication
  • Study trigonometric applications in satellite positioning
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Aerospace engineers, satellite communication specialists, students studying orbital mechanics, and anyone interested in the visibility of geostationary satellites from various latitudes.

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Homework Statement


attachment.php?attachmentid=33789&stc=1&d=1136054222.jpg


The Attempt at a Solution



Please someone help me to understand the question
 

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Geostationary satellites have a specific orbital radius, and orbit in a particular plane. The Earth is spherical. As you travel northwards (or southwards), at what colatitude will the satellite drop below the viewing horizon?
 
attachment.php?attachmentid=33834&stc=1&d=1136082920.png

So which angle are we talking about?
 

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Hi gneill

can you mark the angle we are talking about in the image
its really getting hard for me to understand

is it this angle ? ...

attachment.php?attachmentid=33868&stc=1&d=1301667145.png


viz sin-1(.15)
 

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See attached.
 

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