Worksheet: Orbital Mechanics

In this worksheet, we will practice how to use the formula T = 2πr/v to calculate the orbital characteristics of a planet, moon, or man-made satellite in a circular orbit.

Q1:

Two planets, A and B, orbit a star. Both planets have circular orbits. Planet A orbits the star at a distance of 1 . 5 × 1 0 km and at a speed of 30 km/s. Planet B orbits the star at a distance of 4 . 8 × 1 0 km and at a speed of 17 km/s.

How many times is the length of planet B’s orbit greater than planet A’s?

How many times longer does it take for planet B to orbit the star than planet A? Give your answer to 1 decimal place.

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