Package lib :: Package frame_order :: Module pseudo_ellipse_free_rotor

Module pseudo_ellipse_free_rotor

Module for the handling of Frame Order.

Functions

compile_1st_matrix_pseudo_ellipse_free_rotor(matrix, R_eigen, theta_x, theta_y)
Generate the 1st degree Frame Order matrix for the free rotor pseudo-ellipse.

source code

compile_2nd_matrix_pseudo_ellipse_free_rotor(matrix, Rx2_eigen, theta_x, theta_y)
Generate the 2nd degree Frame Order matrix for the free rotor pseudo-ellipse.

source code

float

part_int_daeg1_pseudo_ellipse_free_rotor_22(phi, x, y)
The theta-sigma partial integral of the 1st degree Frame Order matrix element zz for the free rotor pseudo-ellipse.

source code

float

part_int_daeg2_pseudo_ellipse_free_rotor_00(phi, x, y)
The theta-sigma partial integral of the 2nd degree Frame Order matrix for the free rotor pseudo-ellipse.

source code

float

part_int_daeg2_pseudo_ellipse_free_rotor_08(phi, x, y)
The theta-sigma partial integral of the 2nd degree Frame Order matrix for the free rotor pseudo-ellipse.

source code

float

part_int_daeg2_pseudo_ellipse_free_rotor_11(phi, x, y)
The theta-sigma partial integral of the 2nd degree Frame Order matrix for the free rotor pseudo-ellipse.

source code

float

part_int_daeg2_pseudo_ellipse_free_rotor_44(phi, x, y)
The theta-sigma partial integral of the 2nd degree Frame Order matrix for the free rotor pseudo-ellipse.

source code

float

part_int_daeg2_pseudo_ellipse_free_rotor_48(phi, x, y)
The theta-sigma partial integral of the 2nd degree Frame Order matrix for the free rotor pseudo-ellipse.

source code

float

part_int_daeg2_pseudo_ellipse_free_rotor_80(phi, x, y)
The theta-sigma partial integral of the 2nd degree Frame Order matrix for the free rotor pseudo-ellipse.

source code

float

part_int_daeg2_pseudo_ellipse_free_rotor_88(phi, x, y)
The theta-sigma partial integral of the 2nd degree Frame Order matrix for the free rotor pseudo-ellipse.

source code

Variables

[hide private]

__package__ = 'lib.frame_order'

Imports: cos, pi, sin, quad, pec, rotate_daeg, tmax_pseudo_ellipse

Function Details

[hide private]

compile_1st_matrix_pseudo_ellipse_free_rotor(matrix, R_eigen, theta_x, theta_y)

source code

Generate the 1st degree Frame Order matrix for the free rotor pseudo-ellipse.

Parameters:

matrix (numpy 3D, rank-2 array) - The Frame Order matrix, 1st degree to be populated.
R_eigen (numpy 3D, rank-2 array) - The eigenframe rotation matrix.
theta_x (float) - The cone opening angle along x.
theta_y (float) - The cone opening angle along y.

compile_2nd_matrix_pseudo_ellipse_free_rotor(matrix, Rx2_eigen, theta_x, theta_y)

source code

Generate the 2nd degree Frame Order matrix for the free rotor pseudo-ellipse.

Parameters:

matrix (numpy 9D, rank-2 array) - The Frame Order matrix, 2nd degree to be populated.
Rx2_eigen (numpy 9D, rank-2 array) - The Kronecker product of the eigenframe rotation matrix with itself.
theta_x (float) - The cone opening angle along x.
theta_y (float) - The cone opening angle along y.

part_int_daeg1_pseudo_ellipse_free_rotor_22(phi, x, y)

source code

The theta-sigma partial integral of the 1st degree Frame Order matrix element zz for the free rotor pseudo-ellipse.

Parameters:

phi (float) - The azimuthal tilt-torsion angle.
x (float) - The cone opening angle along x.
y (float) - The cone opening angle along y.

Returns: float

The theta-sigma partial integral.

part_int_daeg2_pseudo_ellipse_free_rotor_00(phi, x, y)

source code

The theta-sigma partial integral of the 2nd degree Frame Order matrix for the free rotor pseudo-ellipse.

Parameters:

phi (float) - The azimuthal tilt-torsion angle.
x (float) - The cone opening angle along x.
y (float) - The cone opening angle along y.

Returns: float

The theta-sigma partial integral.

part_int_daeg2_pseudo_ellipse_free_rotor_08(phi, x, y)

source code

The theta-sigma partial integral of the 2nd degree Frame Order matrix for the free rotor pseudo-ellipse.

Parameters:

phi (float) - The azimuthal tilt-torsion angle.
x (float) - The cone opening angle along x.
y (float) - The cone opening angle along y.

Returns: float

The theta-sigma partial integral.

part_int_daeg2_pseudo_ellipse_free_rotor_11(phi, x, y)

source code

The theta-sigma partial integral of the 2nd degree Frame Order matrix for the free rotor pseudo-ellipse.

Parameters:

phi (float) - The azimuthal tilt-torsion angle.
x (float) - The cone opening angle along x.
y (float) - The cone opening angle along y.

Returns: float

The theta-sigma partial integral.

part_int_daeg2_pseudo_ellipse_free_rotor_44(phi, x, y)

source code

The theta-sigma partial integral of the 2nd degree Frame Order matrix for the free rotor pseudo-ellipse.

Parameters:

phi (float) - The azimuthal tilt-torsion angle.
x (float) - The cone opening angle along x.
y (float) - The cone opening angle along y.

Returns: float

The theta-sigma partial integral.

part_int_daeg2_pseudo_ellipse_free_rotor_48(phi, x, y)

source code

The theta-sigma partial integral of the 2nd degree Frame Order matrix for the free rotor pseudo-ellipse.

Parameters:

phi (float) - The azimuthal tilt-torsion angle.
x (float) - The cone opening angle along x.
y (float) - The cone opening angle along y.

Returns: float

The theta-sigma partial integral.

part_int_daeg2_pseudo_ellipse_free_rotor_80(phi, x, y)

source code

The theta-sigma partial integral of the 2nd degree Frame Order matrix for the free rotor pseudo-ellipse.

Parameters:

phi (float) - The azimuthal tilt-torsion angle.
x (float) - The cone opening angle along x.
y (float) - The cone opening angle along y.

Returns: float

The theta-sigma partial integral.

part_int_daeg2_pseudo_ellipse_free_rotor_88(phi, x, y)

source code

The theta-sigma partial integral of the 2nd degree Frame Order matrix for the free rotor pseudo-ellipse.

Parameters:

phi (float) - The azimuthal tilt-torsion angle.
x (float) - The cone opening angle along x.
y (float) - The cone opening angle along y.

Returns: float

The theta-sigma partial integral.