It takes a satellite 1.76 h to revolve around an unknown ast

It takes a satellite 1.76 h to revolve around an unknown asteroid in a circular orbit of radius 540 km.
How long it will take an object without initial speed to reach surface of the asteroid from this orbit?The radius of the asteroid is very much smaller than radius of the orbit and can be considered negligible.
Answer in units of h
The answer is not 0.3963 h.Tell me why!
Many thanks!
lcy0229 1年前 已收到1个回答 举报

hqbeyond 幼苗

共回答了20个问题采纳率:80% 举报

此高度处的g‘=4π^2 R/T^2
随着高度降低,g'将逐渐增加,因此此运动并非匀变速运动.
需要进行积分运算.

1年前 追问

5

lcy0229 举报

用积分的话题目条件不够吧?

举报 hqbeyond

够了,定积分,从0到540km,计算式麻烦点,需要按照积分的定义式列式,从x到△x按照匀加速运动计算,来积分。
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