Kepler's Third Law of Planetary Motion
This law tells us the relationship between a planet's orbital period (how long it takes to orbit the Sun) and its average distance from the Sun. It can be expressed as:
* T² ∝ R³
Where:
* T is the orbital period
* R is the average distance from the Sun
The Impact of Increased Distance
If the distance from the Sun (R) increases by 4 times, the orbital period (T) will increase by the cube root of 4³, which is 8. This means the Earth would take 8 times longer to complete one orbit.
Orbital Speed
Since the orbital period is the time it takes to complete one orbit, and the orbit is now longer, the Earth's orbital speed would decrease.
Calculating the Change in Speed
We can't directly calculate the new speed without knowing the initial speed. However, we can understand the relationship:
* Speed = Distance / Time
Since the distance has increased by 4 times and the time has increased by 8 times, the overall speed would be reduced by a factor of 2.
In summary:
* If the distance from the Sun increased by 4 times, the Earth's orbital speed would decrease by a factor of 2.
