## Problem Set

# Jupiter Jockey: A 'Pi in the Sky' Math Challenge

### Overview

The "Pi in the Sky" math challenge gives students a chance to take part in recent discoveries and upcoming celestial events, all while using math and pi just like NASA scientists and engineers. In this problem from the set, students use the mathematical constant pi to find out how far the Juno spacecraft travels in its highly eccentric orbit about Jupiter.

### Materials

### Background

After a five year journey from Earth, the Juno spacecraft arrived at Jupiter on July 4, 2016. Its main goal is to help scientists understand the origin and evolution of the largest planet in our solar system. By learning about Jupiter's formation, scientists will better understand how the solar system formed.

Specifically, Juno will:

Determine how much water is in Jupiter's atmosphere to help us understand how the planet formed.

Look deep into Jupiter's atmosphere to measure composition, temperature, cloud motions and other properties.

Map Jupiter's magnetic and gravity fields, revealing the planet's deep structure.

Explore and study Jupiter's magnetosphere near the planet's poles, especially the auroras (Jupiter's northern and southern lights), to provide new insights about how the planet's enormous magnetic force field affects its atmosphere.

### Procedures

- NASA's Juno spacecraft orbits Jupiter in a highly eccentric orbit, allowing very close passes of the spacecraft to the planet. In one orbit, Juno gets as close as 75,800 kilometers (perijove) to Jupiter and passes as far as 2,771,000 kilometers (apojove) from Jupiter. How many kilometers does Juno travel in one orbit?

### Assessment

### Extensions

Pi Day Challenges- Pi in the Sky
- Pi in the Sky 2
- Pi in the Sky 3
- Pi in the Sky 4
- Pi in the Sky Challenge (slideshow for students)

Multimedia

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