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A comet moves in an elliptical orbit around the sun its distance from the sun varies between 1 AU and 7 AU Calculate its orbital period?
Wiki User
∙ 15y ago
Major axis of mentioned comet has length of 8 AU (1 AU at perihelion plus 7 AU at apohelion on the opposite side of Sun).
According to Kepler's third law, the square of orbital period is directly proportional to cube of the orbit's major axis.
When using astronomical units for distance and sidereal years for time, this simplifies to:
T2 = a3, where
T - orbital period
a - length of major axis
We can then calculate that T for a = 8 AU is about 22.62 years.
Wiki User
∙ 15y ago
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