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回复:一次流星雨能有多少人看到?

wxcfan123 2011-08-13 12:05:27 ( reads)

Let r be the hight of the star. R is the radius of the earth. A is the area of the spherical cap and B is the area of the the surface of the earch. It is not difficult to get

A/B = r/(2(R+r)). Take r = 50, get A/B = 0.0038... r = 40 get A/B = 0.00310...

跟帖(12)

jinjing

2011-08-13 14:27:31

r/2(R+r)=about 4%o.Please note the tangent line.

贫论员

2011-08-15 12:07:10

0.4%?

jinjing

2011-08-15 16:33:51

Yes.Only estimat,we don't know the time,it has relation with the

jinjing

2011-08-15 16:50:46

It has relation with the rotation of the Earth.

jinjing

2011-08-13 14:31:26

sorry, youare right.

贫论员

2011-08-15 11:42:51

结果这么clean啊!怎么推倒出来的?

贫论员

2011-08-15 12:09:26

哦,原始推导居然用了曲面积分。

jinjing

2011-08-15 16:26:28

不是曲面积分。是积分求旋转面.

wxcfan123

2011-08-15 14:39:14

死算出来的。一直没想出纯几何方法求h

jinjing

2011-08-15 16:44:33

You Rit. We also can use similar tringles and ...getting h(r-h)=

jinjing

2011-08-15 17:31:02

(R+r-h)^2=(R+r)^2-R^2-h^2,...

jinjing

2011-08-15 17:33:49

Sorry, It should be: (R+r-h)h=(R+r)^2-R^2-h^2,...