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DTU Satellite Systems and Design Course CubeSat Communication

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Danish Space Research Institute<br />

Danish Small <strong>Satellite</strong> Programme<br />

Problem # 1<br />

Distance to <strong>Satellite</strong> at Horizon<br />

Assume our Cubesat in a h = 600 km<br />

perfectly circular orbit<br />

Assume that the Earth is perfecly<br />

spherical with a radius Re = 6378 km<br />

Calculate the distance d to the satellite<br />

when it is at the geometrical horizon seen<br />

from the Ground Station<br />

Solution<br />

Using Pythagoras on the triangle Geocenter –<br />

Ground Station - Cubesat yields:<br />

d 2⋅R e⋅<br />

h h 2<br />

:=<br />

+<br />

= 2830.830 km<br />

FH 2001-08-27 Cubesat_<strong>Communication</strong>.ppt<br />

h<br />

Re<br />

Ground<br />

Station<br />

d<br />

Slide # 12<br />

Cubesat

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