# The asteroid revolves around the Sun in a circular orbit in 6 years. What is the radius of its orbit?

September 17, 2020 | Education

| According to Kepler’s third law, the radius of the body’s orbit around the Sun r in astronomical units and the period of revolution along it P in years are related as follows: r ^ 3 = P ^ 2. Consequently, the radius of the asteroid’s orbit is 3.3 AU. or 5 10 ^ 8 km.

Note: alternative ways of finding the radius of the orbit (through the generalized III Kepler law, solving the problem of uniform motion along a circle, etc.) in the absence of errors are also fully estimated.

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