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Umrechnung alpha, Näherungslösung GHA 1

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Hendrik Möllersmann
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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20
ellipsoide.py
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@@ -173,6 +173,17 @@ class EllipsoidTriaxial:
y / ((1 - self.ee ** 2) * sqrtH),
z / ((1 - self.ex ** 2) * sqrtH)])
def func_t12(self, x, y, z):
c1 = x ** 2 + y ** 2 + z ** 2 - (self.ax ** 2 + self.ay ** 2 + self.b ** 2)
c0 = (self.ax ** 2 * self.ay ** 2 + self.ax ** 2 * self.b ** 2 + self.ay ** 2 * self.b ** 2 -
(self.ay ** 2 + self.b ** 2) * x ** 2 - (self.ax ** 2 + self.b ** 2) * y ** 2 - (
self.ax ** 2 + self.ay ** 2) * z ** 2)
t2 = (-c1 + sqrt(c1 ** 2 - 4 * c0)) / 2
if t2 == 0:
t2 = 1e-18
t1 = c0 / t2
return t1, t2
def ellu2cart(self, beta: float, lamb: float, u: float) -> np.ndarray:
"""
Panou 2014 12ff.
@@ -360,14 +371,7 @@ class EllipsoidTriaxial:
# ---- Allgemeiner Fall -----
c1 = x ** 2 + y ** 2 + z ** 2 - (self.ax ** 2 + self.ay ** 2 + self.b ** 2)
c0 = (self.ax ** 2 * self.ay ** 2 + self.ax ** 2 * self.b ** 2 + self.ay ** 2 * self.b ** 2 -
(self.ay ** 2 + self.b ** 2) * x ** 2 - (self.ax ** 2 + self.b ** 2) * y ** 2 - (
self.ax ** 2 + self.ay ** 2) * z ** 2)
t2 = (-c1 + sqrt(c1 ** 2 - 4 * c0)) / 2
if t2 == 0:
t2 = 1e-14
t1 = c0 / t2
t1, t2 = self.func_t12(x, y, z)
num_beta = max(t1 - self.b ** 2, 0)
den_beta = max(self.ay ** 2 - t1, 0)