Question

In: Physics

1) Distance Orbital Period Mercury 0.39 AU 88 days Venus 0.72 AU 225 days Earth 1.00...

1)

Distance

Orbital Period

Mercury

0.39 AU

88 days

Venus

0.72 AU

225 days

Earth

1.00 AU

365 days

Mars

1.52 AU

687 days

(i) How would you calculate the average distance between planets that have different orbital periods. If so, calculate the average distance of Mercury, Venus and Mars to the Earth. Which one of these planets is the closest to Earth on average?

(ii) Calculate the average distance of Mercury, Venus and Earth to Mars. Which one of these planets is the closest to Mars on average?


Assume circular orbits and use symmetries to make the distance calculation easier. You can

approximate the average distance by using four well-chosen points on the planet’s orbit.

Solutions

Expert Solution

Here we have calculated average distance between the planet by fixing one of the planet and taking 4 points arround the sun of the othe planet's orbit. Sorry for the poor handwriting

genius_generous answered 2 years ago
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