Original PromptCreate a worksheet where students manipulate the formula for kepler's 3rd law to find the distance or period of a planet's orbit
This learning resource focuses on Kepler's Third Law, which describes the relationship between the distance of planets from the Sun and their orbital periods. Students will learn to define key variables, perform algebraic calculations to isolate these variables, and understand the significance of the law in the context of planetary motion. It includes a conceptual overview, worked examples, and practice problems covering various planetary bodies and situations, reinforcing the application of the formula T² = a³ (where T is the orbital period in years and a is the semi-major axis in AU). Additionally, a challenge task is presented that also incorporates the masses of stars to deepen understanding.