Exercise
https://texercises.com/exercise/neptun-flieg/
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The following quantities appear in the problem: Masse \(m\) / Kraft \(F\) / Geschwindigkeit \(v\) / Radius \(r\) / Winkelgeschwindigkeit / Kreisfrequenz \(\omega\) /
The following formulas must be used to solve the exercise: \(F = G \dfrac{m_1m_2}{r^2} \quad \) \(F = m\dfrac{v^2}{r} \quad \) \(F = mr\omega^2 \quad \)
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Exercise:
Neptun hat eine mittlere Entfernung von r_N .^m oder AE. Wie lange dauert ein Umlauf um die Sonne?

Solution:
Es gilt: fracT_N^T_E^ fracr_N^r_E^ Rightarrow T_N sqrtfracr_N^r_E^ T_E^ approx jahr.
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Exercise:
Neptun hat eine mittlere Entfernung von r_N .^m oder AE. Wie lange dauert ein Umlauf um die Sonne?

Solution:
Es gilt: fracT_N^T_E^ fracr_N^r_E^ Rightarrow T_N sqrtfracr_N^r_E^ T_E^ approx jahr.
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3. kepler gesetz, himmelsmechanik, mechanik
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