Abgabe fertig

GHA_triaxial/utils.py

@@ -1,11 +1,13 @@
+from __future__ import annotations
+
 from typing import Tuple
 
 import numpy as np
-from numpy import arctan2, sin, cos, sqrt
+from numpy import arctan2, cos, sin, sqrt
 from numpy.typing import NDArray
-from utils_angle import wrap_mpi_pi, wrap_0_2pi, wrap_mhalfpi_halfpi
 
-from ellipsoide import EllipsoidTriaxial
+from ellipsoid_triaxial import EllipsoidTriaxial
+from utils_angle import wrap_0_2pi
 
 
 def sigma2alpha(ell: EllipsoidTriaxial, sigma: NDArray, point: NDArray) -> float:
@@ -178,9 +180,22 @@ def pq_para(ell: EllipsoidTriaxial, point: NDArray) -> Tuple[NDArray, NDArray]:
     return p, q
 
 
+def jacobi_konstante(beta: float, omega: float, alpha: float, ell: EllipsoidTriaxial) -> float:
+    """
+    Jacobi-Konstante nach Karney (2025), Gl. (14)
+    :param beta: Beta Koordinate
+    :param omega: Omega Koordinate
+    :param alpha: Azimut alpha
+    :param ell: Ellipsoid
+    :return: Jacobi-Konstante
+    """
+    gamma_jacobi = float((ell.k ** 2) * (np.cos(beta) ** 2) * (np.sin(alpha) ** 2) - (ell.k_ ** 2) * (np.sin(omega) ** 2) * (np.cos(alpha) ** 2))
+    return gamma_jacobi
+
+
 if __name__ == "__main__":
     ell = EllipsoidTriaxial.init_name("KarneyTest2024")
     alpha_para = 0
     u, v = ell.ell2para(np.pi/2, 0)
     alpha_ell = alpha_para2ell(ell, u, v, alpha_para)
-    pass
+    pass