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Even if we assume that the central mass is our sun, the question is still insufficient for an answer as just giving the semi-major axis isn't enough. We need to know the minor axis as well to calculate the eccentricity.

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15y ago
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10y ago

T2/R3 = K (from Kepler's 3rd Law)

For the Earth, T = 1 year, R = 1 AU . So K = 1 . According to Kepler,

it's the same K for any other body in solar orbit.

For your asteroid . . . R = 2.8 AU

T2/(2.8)3 = 1

T2 = (2.8)3

T = (2.8)3/2 = 4.685 years

=========================

Note: You said that the asteroid has a semimajor axis of 2.8 AU, but in the

above derivation, I have tacitly assumed that this figure actually describes the

asteroid's orbit.

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11y ago

This can be worked out from Kepler's 3rd Law. I make the answer to be

eight ( Earth) years.

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10y ago

8 Earth years.

You can work that out from Kepler's 3rd Law:

(Orbit Period, in Earth years)2 = (average distance from Sun, in AU)3

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11y ago

Use Kepler's 3rd law. The time is 4^(3/2) years, that is 8 years.

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Q: What is the orbital period of an asteroid that has a semimajor axis of 2.8 au?
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