Subjects physics

Earth Orbit Distance 39Be17

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1. **State the problem:** We want to understand what happens to Earth's orbit if it is moved farther from the Sun in a simulation. 2. **Relevant concept:** According to Kepler's Third Law and Newton's Law of Gravitation, the orbital period $T$ of a planet around the Sun depends on its distance $r$ from the Sun. 3. **Formula:** Kepler's Third Law states: $$T^2 \propto r^3$$ This means the square of the orbital period is proportional to the cube of the orbit's radius. 4. **Explanation:** If Earth moves farther from the Sun, $r$ increases. 5. **Effect on orbital period:** Since $T^2 \propto r^3$, increasing $r$ increases $T$, so the time it takes to complete one orbit increases. 6. **Conclusion:** Moving Earth farther from the Sun makes it take more time to go around. **Final answer:** It takes more time to go around.