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Question

The asteroid Hektor, discovered in 19071907, is in a nearly circular orbit of radius 5.16AU5.16 \text{AU} about the Sun. Determine the period of this asteroid.

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In this problem, we are asked to calculate the orbital period of the asteroid Hektor to the Sun. The known values are given as follows:

rast=5.16 AUrE=1.00 AUT=1 y\begin{aligned} r_{\text{ast}} &= 5.16\text{ AU}\\ r_E & = 1.00\text{ AU}\\ T & = 1 \text{ y} \end{aligned}

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