Exercise
https://texercises.com/exercise/satelliten-des-global-positioning-systems/
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The following quantities appear in the problem: Masse \(m\) / Kraft \(F\) / Radius \(r\) / Winkelgeschwindigkeit / Kreisfrequenz \(\omega\) /
The following formulas must be used to solve the exercise: \(F = G \dfrac{m_1m_2}{r^2} \quad \) \(F = mr\omega^2 \quad \)
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Exercise:
% m Die Satelliten des Global Positioning Systems GPS umrunden die Erde in einem halben Sterntag h min. Berechnen Sie den Bahnradius.

Solution:
% . Feb. Lie * &F_res ma_z Rightarrow fracGMmr^ mromega^ mr left fracpiT right^ Rightarrow &r GM^/ left fracTpi right^/ .eeesim^/s^^/ left fracsis+ sis pi right^/ &quad uuline .eeesim * Die Grösse GM Gravitationskonstante mal Erdmasse heisst Gravitationsparameter der Erde und ist tabelliert. newpage
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Exercise:
% m Die Satelliten des Global Positioning Systems GPS umrunden die Erde in einem halben Sterntag h min. Berechnen Sie den Bahnradius.

Solution:
% . Feb. Lie * &F_res ma_z Rightarrow fracGMmr^ mromega^ mr left fracpiT right^ Rightarrow &r GM^/ left fracTpi right^/ .eeesim^/s^^/ left fracsis+ sis pi right^/ &quad uuline .eeesim * Die Grösse GM Gravitationskonstante mal Erdmasse heisst Gravitationsparameter der Erde und ist tabelliert. newpage
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GPS_Kepler
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Language
GER (Deutsch)
Type
Calculative / Quantity
Creator Lie
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