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Mars: Recall the calculation done in the video for this unit, regarding the distance between Mars and the Sun. Now, say you wanted to calculate not the distance between Mars and the Sun, but the distance between Mars and the Earth at opposition and quadrature. Given the screenshot from the video below, perform those two calculations. You measure the orbital period of Mars to be 687 days. 106 days after the opposition of Mars, the planet appears in quadrature. Calculate the Mars- Sun distance in astronomical units (AU).

```
cos(2\pi ((106)/(365)-(106)/(687)))=(1AU)/(x)
x=(1AU)/(cos(2\pi ((106)/(365)-(106)/(687))))=1.52AL
```