# An asteroid is three times as far from the Sun at aphelion than at perihelion. At perihelion the orbital speed of the asteroid is 25 km/s. What is the orbital speed of the asteroid at aphelion?

If e is the asteroid's orbital eccentricity and a is its semi-major axis, then

Speed at perihelion is equal to (speed at which the Sun is at distance a)(1+e) = 25 km/s.

Hence, velocity at a distance from the sun is equal to 25/(1+e) = 50/3 km/s.

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At aphelion, the asteroid's orbital speed is about 12.5 km/s.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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