Question
The comet Encke has an aphelion distance of and perihelion distance of
. The mass of the sun is
. Find the speed of the comet at the perihelion and the aphelion.
Answer :
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Skip in 10
To find the speed of a comet at perihelion and aphelion, we use the law of conservation of angular momentum and vis-viva equation from elementary mechanics. Let the perihelion distance be ( r_p ) and aphelion distance ( r_a ), with the Sun’s mass ( M ). The comet’s velocity ( v ) at any point in its elliptical orbit can be calculated using
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