A comet is traveling in a highly eccentric orbit around a star.  When at its apoapsis 98 AU away from the star, the comet has a speed of 2.7 km/s.  What is the speed of the comet at its periapsis, which is only 1 AU away from the star?

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A comet is traveling in a highly eccentric orbit around a star.  When at its apoapsis 98 AU away from the star, the comet has a speed of 2.7 km/s.  What is the speed of the comet at its periapsis, which is only 1 AU away from the star?

(Please answer to the fourth decimal place - i.e 14.3225)

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