In this lesson, we will learn how to calculate the properties of the orbits of objects that move along elliptical orbits.

Students will be able to

Q1:

Callisto is a moon that orbits Jupiter. The orbit of Callisto around Jupiter is elliptical, with an eccentricity of 0.00740. The semimajor axis of Callisto’s orbit is 1.88×10 km.

How far away from Jupiter is Callisto when it is at its closest to Jupiter? Give your answer in scientific notation to two decimal places.

How far away from Jupiter is Callisto when it is at its farthest from Jupiter? Give your answer in scientific notation to two decimal places.

Q2:

Saturn moves along an elliptical orbit around the Sun. The semimajor axis of its orbit is 9.58 AU, and the eccentricity of its orbit is 0.0565.

What is the distance between Saturn and the Sun when Saturn is at the perihelion of its orbit? Give your answer to one decimal place.

What is the distance between Saturn and the Sun when Saturn is at the aphelion of its orbit? Give your answer to one decimal place.

Q3:

The Moon moves along an elliptical orbit around Earth. When the Moon is at the perigee of its orbit, it is 363,000 km away from Earth. When the Moon is at the apogee of its orbit, it is 405,000 km away from Earth. What is the eccentricity of the Moon’s orbit? Give your answer to four decimal places.

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