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a planet in an elliptical orbit around a distant star. a periastron (the point closest approach...

a planet in an elliptical orbit around a distant star. a periastron (the point closest approach to the star), the planet is rp=4.20 x 10^8km from the star and is moving with the speed of vp=18.5km/s. when the planet is at apastron (the point of greatest distance from the star) it is ra=9,30x10^8 km from the star. how fast is the planet moving at apastron? va=? km/s

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Answer #1

In planetory motion angular momentum remain conserved so

MVpRp = MVaRa

Va = VpRp/Ra

Va = 18.5*4.20*10^8/9.30x10^8

Va = 8.35 km/s

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