This commit is contained in:
2026-02-05 15:52:22 +01:00
parent 19c1625a11
commit 39641b5293

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@@ -17,7 +17,7 @@ def sph_azimuth(beta1, lam1, beta2, lam2):
a += 2 * np.pi
return a
def BETA_LAMBDA(beta, lamb):
def BETA_LAMBDA(ell, beta, lamb):
BETA = (ell.ay**2 * np.sin(beta)**2 + ell.b**2 * np.cos(beta)**2) / (ell.Ex**2 - ell.Ey**2 * np.sin(beta)**2)
LAMBDA = (ell.ax**2 * np.sin(lamb)**2 + ell.ay**2 * np.cos(lamb)**2) / (ell.Ex**2 - ell.Ee**2 * np.cos(lamb)**2)
@@ -63,7 +63,7 @@ def p_coef(beta, lamb):
BETA_, LAMBDA_, BETA__, LAMBDA__,
E_beta, E_lamb, G_beta, G_lamb,
E_beta_beta, E_beta_lamb, E_lamb_lamb,
G_beta_beta, G_beta_lamb, G_lamb_lamb) = BETA_LAMBDA(beta, lamb)
G_beta_beta, G_beta_lamb, G_lamb_lamb) = BETA_LAMBDA(ell, beta, lamb)
p_3 = - 0.5 * (E_lamb / G)
p_2 = (G_beta / G) - 0.5 * (E_beta / E)
@@ -102,7 +102,7 @@ def q_coef(beta, lamb):
BETA_, LAMBDA_, BETA__, LAMBDA__,
E_beta, E_lamb, G_beta, G_lamb,
E_beta_beta, E_beta_lamb, E_lamb_lamb,
G_beta_beta, G_beta_lamb, G_lamb_lamb) = BETA_LAMBDA(beta, lamb)
G_beta_beta, G_beta_lamb, G_lamb_lamb) = BETA_LAMBDA(ell, beta, lamb)
q_3 = - 0.5 * (G_beta / E)
q_2 = (E_lamb / E) - 0.5 * (G_lamb / G)
@@ -164,7 +164,7 @@ def gha2_num(ell: EllipsoidTriaxial, beta_1: float, lamb_1: float, beta_2: float
if abs(dlamb) < 1e-15:
beta_0 = 0.0
else:
(_, _, E1, G1, *_) = BETA_LAMBDA(beta_1, lamb_1)
(_, _, E1, G1, *_) = BETA_LAMBDA(ell, beta_1, lamb_1)
beta_0 = np.sqrt(G1 / E1) * cot(alpha0_sph)
ode_lamb = buildODElamb()
@@ -196,7 +196,7 @@ def gha2_num(ell: EllipsoidTriaxial, beta_1: float, lamb_1: float, beta_2: float
return False, None, None, None
alpha0_sph = sph_azimuth(beta_1, lamb_1, beta_2, lamb_2)
(_, _, E1, G1, *_) = BETA_LAMBDA(beta_1, lamb_1)
(_, _, E1, G1, *_) = BETA_LAMBDA(ell, beta_1, lamb_1)
beta_p0_sph = np.sqrt(G1 / E1) * cot(alpha0_sph)
guesses = [
@@ -220,7 +220,7 @@ def gha2_num(ell: EllipsoidTriaxial, beta_1: float, lamb_1: float, beta_2: float
integrand = np.zeros(N + 1)
for i in range(N + 1):
(_, _, Ei, Gi, *_) = BETA_LAMBDA(beta_arr_c[i], lamb_arr_c[i])
(_, _, Ei, Gi, *_) = BETA_LAMBDA(ell, beta_arr_c[i], lamb_arr_c[i])
integrand[i] = np.sqrt(Ei * beta_p_arr_c[i] ** 2 + Gi)
h = abs(dlamb) / N
@@ -253,9 +253,9 @@ def gha2_num(ell: EllipsoidTriaxial, beta_1: float, lamb_1: float, beta_2: float
beta_p_arr[i] = state[1]
(_, _, E1, G1,
*_) = BETA_LAMBDA(beta_arr[0], lamb_arr[0])
*_) = BETA_LAMBDA(ell, beta_arr[0], lamb_arr[0])
(_, _, E2, G2,
*_) = BETA_LAMBDA(beta_arr[-1], lamb_arr[-1])
*_) = BETA_LAMBDA(ell, beta_arr[-1], lamb_arr[-1])
alpha_1 = arccot(np.sqrt(E1 / G1) * beta_p_arr[0])
alpha_2 = arccot(np.sqrt(E2 / G2) * beta_p_arr[-1])
@@ -263,7 +263,7 @@ def gha2_num(ell: EllipsoidTriaxial, beta_1: float, lamb_1: float, beta_2: float
integrand = np.zeros(N + 1)
for i in range(N + 1):
(_, _, Ei, Gi,
*_) = BETA_LAMBDA(beta_arr[i], lamb_arr[i])
*_) = BETA_LAMBDA(ell, beta_arr[i], lamb_arr[i])
integrand[i] = np.sqrt(Ei * beta_p_arr[i] ** 2 + Gi)
h = abs(dlamb) / N
@@ -341,9 +341,9 @@ def gha2_num(ell: EllipsoidTriaxial, beta_1: float, lamb_1: float, beta_2: float
# Azimute
(BETA1, LAMBDA1, E1, G1,
*_) = BETA_LAMBDA(beta_arr[0], lamb_arr[0])
*_) = BETA_LAMBDA(ell, beta_arr[0], lamb_arr[0])
(BETA2, LAMBDA2, E2, G2,
*_) = BETA_LAMBDA(beta_arr[-1], lamb_arr[-1])
*_) = BETA_LAMBDA(ell, beta_arr[-1], lamb_arr[-1])
alpha_1 = (np.pi / 2.0) - arccot(np.sqrt(LAMBDA1 / BETA1) * lambda_p_arr[0])
alpha_2 = (np.pi / 2.0) - arccot(np.sqrt(LAMBDA2 / BETA2) * lambda_p_arr[-1])
@@ -351,7 +351,7 @@ def gha2_num(ell: EllipsoidTriaxial, beta_1: float, lamb_1: float, beta_2: float
integrand = np.zeros(N + 1)
for i in range(N + 1):
(_, _, Ei, Gi,
*_) = BETA_LAMBDA(beta_arr[i], lamb_arr[i])
*_) = BETA_LAMBDA(ell, beta_arr[i], lamb_arr[i])
integrand[i] = np.sqrt(Ei + Gi * lambda_p_arr[i] ** 2)
h = abs(dbeta) / N