The distance between the two foci of an ellipse is 4.57 cm, while the semi-major axis is 15.2 cm long. What is the eccentricity?

A dwarf planet is orbiting out beyond Pluto with an orbital period of 289 years. What is its distance from the Sun in AU?

You discover a new planet that orbits the Sun with a semi-major axis of 3.30x10¹²m. What is the period of this planet (in years)?

What is the force of gravity between a planet with a mass of 3.71x10²⁴ kg and a star with a mass of 2.23x10³⁰ kg, whose centers are a distance of 5.14x10¹¹ m apart? Enter your answer using scientific notation.

For reference, these numbers are similar to (but not exactly the same) as the Earth and the Sun.