7 Questions
Which law of planetary motion involves comparing the motion traits of different planets based on the ratio of the squares of the periods to the cubes of their average distances to the sun?
Kepler's third law
What is the T2/R3 ratio for Earth and Mars, as per the provided information?
2.977 x 10^-19 s^2/m^3
According to the Law of Harmonies, what is the T2/R3 ratio for Uranus?
1.00
What is the significance of the T2/R3 ratio being approximately the same for all planets in the Solar System?
It validates the Law of Harmonies.
Which planet in the Solar System has an orbital period closest to 1 Earth year?
Mars
What does Kepler's third law state about the relationship between a planet's orbital period and its distance from the sun?
$T^2$ is inversely proportional to $R^3$
What can be inferred about a planet if its T2/R3 ratio is significantly different from 1.00?
The planet's motion doesn't follow Kepler's laws.
Test your knowledge on the history of the spherical earth model, including the determination of Earth's circumference based on angles of sun rays in Alexandria and Syene. Explore the hypothesis of a curved Earth and early measurements of its size.
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