# Astronomical distances.

Classical Mechanics Level pending

The average distance from Earth to the sun is about $$150,000,000$$ kilometers. This distance is called an astronomical unit, the $$AU$$. The relationship of a planet's distance from the sun and it's orbital period is $$a^3=p^2$$ where $$a$$ is the given planet's average distance from the sun in astronomical units and $$p$$ is the planet's period in Earth years.

Using the given information find the average distance from Jupiter to the sun in kilometers. Round to the nearest kilometer.

• $$1AU=150,000,000km$$
• Jupiter's period $$=12$$ years
• $$a^3=p^2$$

Hint: Solve for $$a$$ then convert units. Do NOT round until your final answer.

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