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183_notes:escape_speed [2021/04/01 12:35] – [Escape Speed] stumptyl | 183_notes:escape_speed [2021/04/01 12:37] (current) – [Calculating the Escape Speed] stumptyl | ||
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* Final: $r=\infty$; $v=0$ | * Final: $r=\infty$; $v=0$ | ||
- | The [[183_notes: | + | The [[183_notes: |
$$\Delta E_{sys} = W_{surr} = 0 \longrightarrow E_{sys,f} = E_{sys,i}$$ | $$\Delta E_{sys} = W_{surr} = 0 \longrightarrow E_{sys,f} = E_{sys,i}$$ | ||
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$$v_{esc} = \sqrt{\dfrac{2GM}{R}}$$ | $$v_{esc} = \sqrt{\dfrac{2GM}{R}}$$ | ||
- | This speed defines the minimum speed needed to leave the planet and never return under the gravitational interaction between the object and the planet. Notice that this speed doesn' | + | This speed defines the minimum speed needed to leave the planet and never return under the gravitational interaction between the object and the planet. |