Kepler's Third Law
Kepler's Third Law of Planetary Motion states that the square of a planet's orbital period (T) is proportional to the cube of its average distance from the Sun (a). Mathematically:
T² ∝ a³
Applying the Law
1. Earth's Orbital Period: Earth's orbital period (a year) is roughly 365.25 days. We know its orbital distance is 1 AU.
2. The Planet's Mass Doesn't Matter: Kepler's Third Law *doesn't* depend on the mass of the planet. Only the mass of the star matters, which is constant in this case (our Sun).
3. Same Distance: Since the planet is orbiting at 1 AU, the same distance as Earth, its orbital period will be the same.
Conclusion
The planet will have an orbital period of approximately 365.25 days, the same as Earth.
