1 #include<cstdio>
2 #include<cstdlib>
3 #include<cmath>
4 #include<iostream>
5 using namespace std;
6
7 long double a=-5.8522e+04,
8 b=3.7519e+11,
9 c=6.8944e-07,
10 g0=9.7803,
11 gama=1.4000,
12 k=0.00046,
13 P0=101325,
14 P00=101325.0,
15 Re=6378137.0,
16 rou0=1.2250,
17 rou00=1.1031865,
18 T0=273.0,
19 T00=303.1500,
20 mu=0.027441,
21 R=8.3140,
22 A=58857.2530,
23 B=375399623239.3531;
24 long double n0=pow(1+k*c*(a+b/Re),2.5);
25
26 long double phi()
27 {
28 int n=10000;
29 long double st=1,ed=1+k*rou00;
30 long double delta=(ed-st)/n,ans=0;
31 for(int i=1;i<=n;i++)
32 {
33 long double X=(st-1)*pow(T00,3.5)/k/rou0/T0;
34 long double H=pow(X,0.4)+A-303.15;
35 H=B/H;
36 H-=6378137;
37 ans+=n0*Re/st/(Re+H)/
38 sqrt(1-(n0*Re/st/(Re+H))*(n0*Re/st/(Re+H)))/st*delta;
39 st+=delta;
40 }
41 return ans;
42 }
43
44 long double eps=1e-8,tar=0.0098901991;
45
46 long double tdiv()
47 {
48 long double l=0.0,r=1.0;
49 while(r-l>eps)
50 {
51 long double mid=(l+r)/2;
52 k=mid;
53 long double ans=phi();
54 if(ans<tar) l=mid;
55 else r=mid;
56 }
57 return l;
58 }
59
60 int main()
61 {
62 long double ans=phi();
63 tdiv();
64 return 0;
65 }
