Umrechnung alpha, Näherungslösung GHA 1

This commit is contained in:
2026-01-11 13:14:43 +01:00
parent 797afdfd6f
commit 4d5b6fcc3e
6 changed files with 205 additions and 71 deletions

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@@ -244,7 +244,7 @@ def gha2_num(ell: EllipsoidTriaxial, beta_1, lamb_1, beta_2, lamb_2, n=16000, ep
+ (ell.Ee**2 / ell.Ex**2) * np.cos(lamb0) ** 2 * np.cos(alpha_1) ** 2
)
return alpha_1, alpha_2, s
return alpha_1, alpha_2, s, beta_arr, lamb_arr
if lamb_1 == lamb_2:
@@ -252,7 +252,7 @@ def gha2_num(ell: EllipsoidTriaxial, beta_1, lamb_1, beta_2, lamb_2, n=16000, ep
dbeta = beta_2 - beta_1
if abs(dbeta) < 10**-15:
return 0, 0, 0
return 0, 0, 0, np.array([]), np.array([])
lamb_0 = 0
@@ -369,7 +369,7 @@ def gha2_num(ell: EllipsoidTriaxial, beta_1, lamb_1, beta_2, lamb_2, n=16000, ep
else:
s = np.trapz(integrand, dx=h)
return alpha_1, alpha_2, s
return alpha_1, alpha_2, s, beta_arr, lamb_arr
if __name__ == "__main__":
@@ -391,35 +391,37 @@ if __name__ == "__main__":
# print(s)
ell = EllipsoidTriaxial.init_name("BursaSima1980round")
diffs_panou = []
examples_panou = ne_panou.get_random_examples(4)
for example in examples_panou:
beta0, lamb0, beta1, lamb1, _, alpha0, alpha1, s = example
P0 = ell.ell2cart(beta0, lamb0)
try:
alpha0_num, alpha1_num, s_num = gha2_num(ell, beta0, lamb0, beta1, lamb1, n=4000, iter_max=10)
diffs_panou.append(
(wu.rad2deg(abs(alpha0 - alpha0_num)), wu.rad2deg(abs(alpha1 - alpha1_num)), abs(s - s_num)))
except:
print(f"Fehler für {beta0}, {lamb0}, {beta1}, {lamb1}")
diffs_panou = np.array(diffs_panou)
print(diffs_panou)
# ell = EllipsoidTriaxial.init_name("BursaSima1980round")
# diffs_panou = []
# examples_panou = ne_panou.get_random_examples(4)
# for example in examples_panou:
# beta0, lamb0, beta1, lamb1, _, alpha0, alpha1, s = example
# P0 = ell.ell2cart(beta0, lamb0)
# try:
# alpha0_num, alpha1_num, s_num = gha2_num(ell, beta0, lamb0, beta1, lamb1, n=4000, iter_max=10)
# diffs_panou.append(
# (wu.rad2deg(abs(alpha0 - alpha0_num)), wu.rad2deg(abs(alpha1 - alpha1_num)), abs(s - s_num)))
# except:
# print(f"Fehler für {beta0}, {lamb0}, {beta1}, {lamb1}")
# diffs_panou = np.array(diffs_panou)
# print(diffs_panou)
#
# ell = EllipsoidTriaxial.init_name("KarneyTest2024")
# diffs_karney = []
# # examples_karney = ne_karney.get_examples((30500, 40500))
# examples_karney = ne_karney.get_random_examples(2)
# for example in examples_karney:
# beta0, lamb0, alpha0, beta1, lamb1, alpha1, s = example
#
# try:
# alpha0_num, alpha1_num, s_num = gha2_num(ell, beta0, lamb0, beta1, lamb1, n=4000, iter_max=10)
# diffs_karney.append((wu.rad2deg(abs(alpha0-alpha0_num)), wu.rad2deg(abs(alpha1-alpha1_num)), abs(s-s_num)))
# except:
# print(f"Fehler für {beta0}, {lamb0}, {beta1}, {lamb1}")
# diffs_karney = np.array(diffs_karney)
# print(diffs_karney)
ell = EllipsoidTriaxial.init_name("KarneyTest2024")
diffs_karney = []
# examples_karney = ne_karney.get_examples((30500, 40500))
examples_karney = ne_karney.get_random_examples(2)
for example in examples_karney:
beta0, lamb0, alpha0, beta1, lamb1, alpha1, s = example
try:
alpha0_num, alpha1_num, s_num = gha2_num(ell, beta0, lamb0, beta1, lamb1, n=4000, iter_max=10)
diffs_karney.append((wu.rad2deg(abs(alpha0-alpha0_num)), wu.rad2deg(abs(alpha1-alpha1_num)), abs(s-s_num)))
except:
print(f"Fehler für {beta0}, {lamb0}, {beta1}, {lamb1}")
diffs_karney = np.array(diffs_karney)
print(diffs_karney)
pass