The semi-major axis of the orbit of asteroid Don Quixote is 4.2 AU. Determine how often he is in opposition.

To find the stellar orbital period of the asteroid T, you need to use Kepler’s III law. T ^ 2 = a ^ 3; T ^ 2 = 4.2 ^ 3 = 74; T = 8.6 (years). 1 / S = 1 – 1 / 8.6; S = 1.13 years = 413 days.

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