Pasha
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Hi, everyone can you help me with this question, please?
View attachment 9268
View attachment 9268
The discussion focuses on the calculations involved in determining the length of AC in geostationary orbits, specifically at an altitude of 35,800 km above Earth's surface. The formula used for circumference, C = π · d, is applied to find the diameter, while the Pythagorean theorem is utilized to calculate BC. The final calculated distance from point A to point C is confirmed to be 84,300 km, which includes Earth's radius and the altitude of the orbit.
PREREQUISITESStudents in physics or engineering, satellite communication engineers, and anyone interested in the mathematics of orbital mechanics.
skeeter said:(i) This calculation is straightforward ... what do you get for the length of AC?
(ii) recall $C = \pi \cdot d$, where $d$ is the length of the orbital diameter AC.
(iii) $BC = \sqrt{|AC|^2-|AB|^2}$
(iv) note ... $\cos(\angle{BAC}) = \dfrac{|AB|}{|AC|}$. Use inverse cosine on your calculator to determine the angle measure.