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julia - 是否有一种递归、迭代的方法来确定给定条件下的值?

转载 作者:行者123 更新时间:2023-12-05 04:36:33 25 4
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我写了一个程序来计算静水太阳大气的等 ionic 贝塔:

B_0 = 0.02 # base magnetic field [T]
p_0 = 0.015 # base pressure [J/m^-3]
h_D = 7.5E7 # dipole depth [m]
R_☉ = 6.96E8 # solar radius [m]
M_☉ = 1.9891E30 # solar mass [kg]
G = 6.673E-11 # gravitational constant [m^3 kg^-1 s^-2]
μ = 0.61 # mean molecular weight of solar corona
m_H = 1.6726E-27 # mass of H particle [kg]
μ_0 = (4*pi)*10^(-7) # permeability [H/m]
k = 1.3806E-23 # boltzmann constant [J/K]
T = 1E6 # temperature [K]

g = (G*M_☉)/(R_☉^2)

lambda_p = (k*T)/(μ*m_H*g) # coronal scale height for 1MK [m]

p(h) = p_0*exp(-h/lambda_p)
B(h) = B_0*(1 + (h/h_D))^(-3)

beta = p(h)/(B(h)^2 / (2*μ_0) )

我不太熟悉使用迭代/数值方法,想知道是否有一种方法可以确定 beta = 1h 的值?

最佳答案

你可以使用Roots.jl

using Roots
function beta(h)
return p(h)/(B(h)^2 / (2*μ_0) )
end

f0 = h-> beta(h) - 1
Roots.find_zero(f0,2*h_D) # -2.3540849742856756e8

关于julia - 是否有一种递归、迭代的方法来确定给定条件下的值?,我们在Stack Overflow上找到一个类似的问题: https://stackoverflow.com/questions/70809332/

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