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EulerAngleOrder Enum

The EulerAngleOrder enumeration specifies the rotation sequence for Euler angle representations. There are 12 possible sequences: 6 symmetric sequences where the first and third rotations are about the same axis, and 6 asymmetric sequences where all rotations are about different axes.

EulerAngleOrder 

EulerAngleOrder()

Enumeration of Euler angle rotation sequences.

Specifies the order of rotations for Euler angle representations. Each sequence represents three consecutive rotations about specified axes. There are 12 possible sequences: 6 symmetric (XYX, XZX, YXY, YZY, ZXZ, ZYZ) and 6 asymmetric (XYZ, XZY, YXZ, YZX, ZXY, ZYX).

The sequence determines how Euler angles are applied: the first rotation is about the first axis, the second about the second axis, and the third about the third axis. For example, XYZ means rotate about X, then Y, then Z.

Attributes:

Name Type Description
XYX Any

X-Y-X sequence (symmetric). Numerical value: 121
XYZ Any

X-Y-Z sequence (Roll-Pitch-Yaw in aerospace). Numerical value: 123
XZX Any

X-Z-X sequence (symmetric). Numerical value: 131
XZY Any

X-Z-Y sequence. Numerical value: 132
YXY Any

Y-X-Y sequence (symmetric). Numerical value: 212
YXZ Any

Y-X-Z sequence. Numerical value: 213
YZX Any

Y-Z-X sequence. Numerical value: 231
YZY Any

Y-Z-Y sequence (symmetric). Numerical value: 232
ZXY Any

Z-X-Y sequence. Numerical value: 312
ZXZ Any

Z-X-Z sequence (symmetric). Numerical value: 313
ZYX Any

Z-Y-X sequence (Yaw-Pitch-Roll in aerospace). Numerical value: 321
ZYZ Any

Z-Y-Z sequence (classical Euler angles in physics). Numerical value: 323
Example 
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import brahe as bh
import numpy as np

# Create Euler angles using XYZ sequence (Roll-Pitch-Yaw)
euler_rpy = bh.EulerAngle(bh.EulerAngleOrder.XYZ, 10.0, 20.0, 30.0, bh.AngleFormat.DEGREES)
print(f"Order: {euler_rpy.order}")  # EulerAngleOrder.XYZ

# Create Euler angles using ZYZ sequence (classical)
euler_zyz = bh.EulerAngle(bh.EulerAngleOrder.ZYZ, 45.0, 60.0, 90.0, bh.AngleFormat.DEGREES)

# Convert quaternion to Euler angles with specific sequence
q = bh.Quaternion(1.0, 0.0, 0.0, 0.0)
euler = bh.EulerAngle.from_quaternion(q, bh.EulerAngleOrder.ZYX)

Initialize instance.

XYX class-attribute 

XYX: Any = EulerAngleOrder.XYX

Enumeration of Euler angle rotation sequences.

Specifies the order of rotations for Euler angle representations. Each sequence represents three consecutive rotations about specified axes. There are 12 possible sequences: 6 symmetric (XYX, XZX, YXY, YZY, ZXZ, ZYZ) and 6 asymmetric (XYZ, XZY, YXZ, YZX, ZXY, ZYX).

The sequence determines how Euler angles are applied: the first rotation is about the first axis, the second about the second axis, and the third about the third axis. For example, XYZ means rotate about X, then Y, then Z.

Attributes:

Name Type Description
XYX

X-Y-X sequence (symmetric). Numerical value: 121
XYZ

X-Y-Z sequence (Roll-Pitch-Yaw in aerospace). Numerical value: 123
XZX

X-Z-X sequence (symmetric). Numerical value: 131
XZY

X-Z-Y sequence. Numerical value: 132
YXY

Y-X-Y sequence (symmetric). Numerical value: 212
YXZ

Y-X-Z sequence. Numerical value: 213
YZX

Y-Z-X sequence. Numerical value: 231
YZY

Y-Z-Y sequence (symmetric). Numerical value: 232
ZXY

Z-X-Y sequence. Numerical value: 312
ZXZ

Z-X-Z sequence (symmetric). Numerical value: 313
ZYX

Z-Y-X sequence (Yaw-Pitch-Roll in aerospace). Numerical value: 321
ZYZ

Z-Y-Z sequence (classical Euler angles in physics). Numerical value: 323
Example 
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import brahe as bh
import numpy as np

# Create Euler angles using XYZ sequence (Roll-Pitch-Yaw)
euler_rpy = bh.EulerAngle(bh.EulerAngleOrder.XYZ, 10.0, 20.0, 30.0, bh.AngleFormat.DEGREES)
print(f"Order: {euler_rpy.order}")  # EulerAngleOrder.XYZ

# Create Euler angles using ZYZ sequence (classical)
euler_zyz = bh.EulerAngle(bh.EulerAngleOrder.ZYZ, 45.0, 60.0, 90.0, bh.AngleFormat.DEGREES)

# Convert quaternion to Euler angles with specific sequence
q = bh.Quaternion(1.0, 0.0, 0.0, 0.0)
euler = bh.EulerAngle.from_quaternion(q, bh.EulerAngleOrder.ZYX)

XYZ class-attribute 

XYZ: Any = EulerAngleOrder.XYZ

Enumeration of Euler angle rotation sequences.

Specifies the order of rotations for Euler angle representations. Each sequence represents three consecutive rotations about specified axes. There are 12 possible sequences: 6 symmetric (XYX, XZX, YXY, YZY, ZXZ, ZYZ) and 6 asymmetric (XYZ, XZY, YXZ, YZX, ZXY, ZYX).

The sequence determines how Euler angles are applied: the first rotation is about the first axis, the second about the second axis, and the third about the third axis. For example, XYZ means rotate about X, then Y, then Z.

Attributes:

Name Type Description
XYX

X-Y-X sequence (symmetric). Numerical value: 121
XYZ

X-Y-Z sequence (Roll-Pitch-Yaw in aerospace). Numerical value: 123
XZX

X-Z-X sequence (symmetric). Numerical value: 131
XZY

X-Z-Y sequence. Numerical value: 132
YXY

Y-X-Y sequence (symmetric). Numerical value: 212
YXZ

Y-X-Z sequence. Numerical value: 213
YZX

Y-Z-X sequence. Numerical value: 231
YZY

Y-Z-Y sequence (symmetric). Numerical value: 232
ZXY

Z-X-Y sequence. Numerical value: 312
ZXZ

Z-X-Z sequence (symmetric). Numerical value: 313
ZYX

Z-Y-X sequence (Yaw-Pitch-Roll in aerospace). Numerical value: 321
ZYZ

Z-Y-Z sequence (classical Euler angles in physics). Numerical value: 323
Example 
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import brahe as bh
import numpy as np

# Create Euler angles using XYZ sequence (Roll-Pitch-Yaw)
euler_rpy = bh.EulerAngle(bh.EulerAngleOrder.XYZ, 10.0, 20.0, 30.0, bh.AngleFormat.DEGREES)
print(f"Order: {euler_rpy.order}")  # EulerAngleOrder.XYZ

# Create Euler angles using ZYZ sequence (classical)
euler_zyz = bh.EulerAngle(bh.EulerAngleOrder.ZYZ, 45.0, 60.0, 90.0, bh.AngleFormat.DEGREES)

# Convert quaternion to Euler angles with specific sequence
q = bh.Quaternion(1.0, 0.0, 0.0, 0.0)
euler = bh.EulerAngle.from_quaternion(q, bh.EulerAngleOrder.ZYX)

XZX class-attribute 

XZX: Any = EulerAngleOrder.XZX

Enumeration of Euler angle rotation sequences.

Specifies the order of rotations for Euler angle representations. Each sequence represents three consecutive rotations about specified axes. There are 12 possible sequences: 6 symmetric (XYX, XZX, YXY, YZY, ZXZ, ZYZ) and 6 asymmetric (XYZ, XZY, YXZ, YZX, ZXY, ZYX).

The sequence determines how Euler angles are applied: the first rotation is about the first axis, the second about the second axis, and the third about the third axis. For example, XYZ means rotate about X, then Y, then Z.

Attributes:

Name Type Description
XYX

X-Y-X sequence (symmetric). Numerical value: 121
XYZ

X-Y-Z sequence (Roll-Pitch-Yaw in aerospace). Numerical value: 123
XZX

X-Z-X sequence (symmetric). Numerical value: 131
XZY

X-Z-Y sequence. Numerical value: 132
YXY

Y-X-Y sequence (symmetric). Numerical value: 212
YXZ

Y-X-Z sequence. Numerical value: 213
YZX

Y-Z-X sequence. Numerical value: 231
YZY

Y-Z-Y sequence (symmetric). Numerical value: 232
ZXY

Z-X-Y sequence. Numerical value: 312
ZXZ

Z-X-Z sequence (symmetric). Numerical value: 313
ZYX

Z-Y-X sequence (Yaw-Pitch-Roll in aerospace). Numerical value: 321
ZYZ

Z-Y-Z sequence (classical Euler angles in physics). Numerical value: 323
Example 
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import brahe as bh
import numpy as np

# Create Euler angles using XYZ sequence (Roll-Pitch-Yaw)
euler_rpy = bh.EulerAngle(bh.EulerAngleOrder.XYZ, 10.0, 20.0, 30.0, bh.AngleFormat.DEGREES)
print(f"Order: {euler_rpy.order}")  # EulerAngleOrder.XYZ

# Create Euler angles using ZYZ sequence (classical)
euler_zyz = bh.EulerAngle(bh.EulerAngleOrder.ZYZ, 45.0, 60.0, 90.0, bh.AngleFormat.DEGREES)

# Convert quaternion to Euler angles with specific sequence
q = bh.Quaternion(1.0, 0.0, 0.0, 0.0)
euler = bh.EulerAngle.from_quaternion(q, bh.EulerAngleOrder.ZYX)

XZY class-attribute 

XZY: Any = EulerAngleOrder.XZY

Enumeration of Euler angle rotation sequences.

Specifies the order of rotations for Euler angle representations. Each sequence represents three consecutive rotations about specified axes. There are 12 possible sequences: 6 symmetric (XYX, XZX, YXY, YZY, ZXZ, ZYZ) and 6 asymmetric (XYZ, XZY, YXZ, YZX, ZXY, ZYX).

The sequence determines how Euler angles are applied: the first rotation is about the first axis, the second about the second axis, and the third about the third axis. For example, XYZ means rotate about X, then Y, then Z.

Attributes:

Name Type Description
XYX

X-Y-X sequence (symmetric). Numerical value: 121
XYZ

X-Y-Z sequence (Roll-Pitch-Yaw in aerospace). Numerical value: 123
XZX

X-Z-X sequence (symmetric). Numerical value: 131
XZY

X-Z-Y sequence. Numerical value: 132
YXY

Y-X-Y sequence (symmetric). Numerical value: 212
YXZ

Y-X-Z sequence. Numerical value: 213
YZX

Y-Z-X sequence. Numerical value: 231
YZY

Y-Z-Y sequence (symmetric). Numerical value: 232
ZXY

Z-X-Y sequence. Numerical value: 312
ZXZ

Z-X-Z sequence (symmetric). Numerical value: 313
ZYX

Z-Y-X sequence (Yaw-Pitch-Roll in aerospace). Numerical value: 321
ZYZ

Z-Y-Z sequence (classical Euler angles in physics). Numerical value: 323
Example 
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import brahe as bh
import numpy as np

# Create Euler angles using XYZ sequence (Roll-Pitch-Yaw)
euler_rpy = bh.EulerAngle(bh.EulerAngleOrder.XYZ, 10.0, 20.0, 30.0, bh.AngleFormat.DEGREES)
print(f"Order: {euler_rpy.order}")  # EulerAngleOrder.XYZ

# Create Euler angles using ZYZ sequence (classical)
euler_zyz = bh.EulerAngle(bh.EulerAngleOrder.ZYZ, 45.0, 60.0, 90.0, bh.AngleFormat.DEGREES)

# Convert quaternion to Euler angles with specific sequence
q = bh.Quaternion(1.0, 0.0, 0.0, 0.0)
euler = bh.EulerAngle.from_quaternion(q, bh.EulerAngleOrder.ZYX)

YXY class-attribute 

YXY: Any = EulerAngleOrder.YXY

Enumeration of Euler angle rotation sequences.

Specifies the order of rotations for Euler angle representations. Each sequence represents three consecutive rotations about specified axes. There are 12 possible sequences: 6 symmetric (XYX, XZX, YXY, YZY, ZXZ, ZYZ) and 6 asymmetric (XYZ, XZY, YXZ, YZX, ZXY, ZYX).

The sequence determines how Euler angles are applied: the first rotation is about the first axis, the second about the second axis, and the third about the third axis. For example, XYZ means rotate about X, then Y, then Z.

Attributes:

Name Type Description
XYX

X-Y-X sequence (symmetric). Numerical value: 121
XYZ

X-Y-Z sequence (Roll-Pitch-Yaw in aerospace). Numerical value: 123
XZX

X-Z-X sequence (symmetric). Numerical value: 131
XZY

X-Z-Y sequence. Numerical value: 132
YXY

Y-X-Y sequence (symmetric). Numerical value: 212
YXZ

Y-X-Z sequence. Numerical value: 213
YZX

Y-Z-X sequence. Numerical value: 231
YZY

Y-Z-Y sequence (symmetric). Numerical value: 232
ZXY

Z-X-Y sequence. Numerical value: 312
ZXZ

Z-X-Z sequence (symmetric). Numerical value: 313
ZYX

Z-Y-X sequence (Yaw-Pitch-Roll in aerospace). Numerical value: 321
ZYZ

Z-Y-Z sequence (classical Euler angles in physics). Numerical value: 323
Example 
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import brahe as bh
import numpy as np

# Create Euler angles using XYZ sequence (Roll-Pitch-Yaw)
euler_rpy = bh.EulerAngle(bh.EulerAngleOrder.XYZ, 10.0, 20.0, 30.0, bh.AngleFormat.DEGREES)
print(f"Order: {euler_rpy.order}")  # EulerAngleOrder.XYZ

# Create Euler angles using ZYZ sequence (classical)
euler_zyz = bh.EulerAngle(bh.EulerAngleOrder.ZYZ, 45.0, 60.0, 90.0, bh.AngleFormat.DEGREES)

# Convert quaternion to Euler angles with specific sequence
q = bh.Quaternion(1.0, 0.0, 0.0, 0.0)
euler = bh.EulerAngle.from_quaternion(q, bh.EulerAngleOrder.ZYX)

YXZ class-attribute 

YXZ: Any = EulerAngleOrder.YXZ

Enumeration of Euler angle rotation sequences.

Specifies the order of rotations for Euler angle representations. Each sequence represents three consecutive rotations about specified axes. There are 12 possible sequences: 6 symmetric (XYX, XZX, YXY, YZY, ZXZ, ZYZ) and 6 asymmetric (XYZ, XZY, YXZ, YZX, ZXY, ZYX).

The sequence determines how Euler angles are applied: the first rotation is about the first axis, the second about the second axis, and the third about the third axis. For example, XYZ means rotate about X, then Y, then Z.

Attributes:

Name Type Description
XYX

X-Y-X sequence (symmetric). Numerical value: 121
XYZ

X-Y-Z sequence (Roll-Pitch-Yaw in aerospace). Numerical value: 123
XZX

X-Z-X sequence (symmetric). Numerical value: 131
XZY

X-Z-Y sequence. Numerical value: 132
YXY

Y-X-Y sequence (symmetric). Numerical value: 212
YXZ

Y-X-Z sequence. Numerical value: 213
YZX

Y-Z-X sequence. Numerical value: 231
YZY

Y-Z-Y sequence (symmetric). Numerical value: 232
ZXY

Z-X-Y sequence. Numerical value: 312
ZXZ

Z-X-Z sequence (symmetric). Numerical value: 313
ZYX

Z-Y-X sequence (Yaw-Pitch-Roll in aerospace). Numerical value: 321
ZYZ

Z-Y-Z sequence (classical Euler angles in physics). Numerical value: 323
Example 
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import brahe as bh
import numpy as np

# Create Euler angles using XYZ sequence (Roll-Pitch-Yaw)
euler_rpy = bh.EulerAngle(bh.EulerAngleOrder.XYZ, 10.0, 20.0, 30.0, bh.AngleFormat.DEGREES)
print(f"Order: {euler_rpy.order}")  # EulerAngleOrder.XYZ

# Create Euler angles using ZYZ sequence (classical)
euler_zyz = bh.EulerAngle(bh.EulerAngleOrder.ZYZ, 45.0, 60.0, 90.0, bh.AngleFormat.DEGREES)

# Convert quaternion to Euler angles with specific sequence
q = bh.Quaternion(1.0, 0.0, 0.0, 0.0)
euler = bh.EulerAngle.from_quaternion(q, bh.EulerAngleOrder.ZYX)

YZX class-attribute 

YZX: Any = EulerAngleOrder.YZX

Enumeration of Euler angle rotation sequences.

Specifies the order of rotations for Euler angle representations. Each sequence represents three consecutive rotations about specified axes. There are 12 possible sequences: 6 symmetric (XYX, XZX, YXY, YZY, ZXZ, ZYZ) and 6 asymmetric (XYZ, XZY, YXZ, YZX, ZXY, ZYX).

The sequence determines how Euler angles are applied: the first rotation is about the first axis, the second about the second axis, and the third about the third axis. For example, XYZ means rotate about X, then Y, then Z.

Attributes:

Name Type Description
XYX

X-Y-X sequence (symmetric). Numerical value: 121
XYZ

X-Y-Z sequence (Roll-Pitch-Yaw in aerospace). Numerical value: 123
XZX

X-Z-X sequence (symmetric). Numerical value: 131
XZY

X-Z-Y sequence. Numerical value: 132
YXY

Y-X-Y sequence (symmetric). Numerical value: 212
YXZ

Y-X-Z sequence. Numerical value: 213
YZX

Y-Z-X sequence. Numerical value: 231
YZY

Y-Z-Y sequence (symmetric). Numerical value: 232
ZXY

Z-X-Y sequence. Numerical value: 312
ZXZ

Z-X-Z sequence (symmetric). Numerical value: 313
ZYX

Z-Y-X sequence (Yaw-Pitch-Roll in aerospace). Numerical value: 321
ZYZ

Z-Y-Z sequence (classical Euler angles in physics). Numerical value: 323
Example 
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import brahe as bh
import numpy as np

# Create Euler angles using XYZ sequence (Roll-Pitch-Yaw)
euler_rpy = bh.EulerAngle(bh.EulerAngleOrder.XYZ, 10.0, 20.0, 30.0, bh.AngleFormat.DEGREES)
print(f"Order: {euler_rpy.order}")  # EulerAngleOrder.XYZ

# Create Euler angles using ZYZ sequence (classical)
euler_zyz = bh.EulerAngle(bh.EulerAngleOrder.ZYZ, 45.0, 60.0, 90.0, bh.AngleFormat.DEGREES)

# Convert quaternion to Euler angles with specific sequence
q = bh.Quaternion(1.0, 0.0, 0.0, 0.0)
euler = bh.EulerAngle.from_quaternion(q, bh.EulerAngleOrder.ZYX)

YZY class-attribute 

YZY: Any = EulerAngleOrder.YZY

Enumeration of Euler angle rotation sequences.

Specifies the order of rotations for Euler angle representations. Each sequence represents three consecutive rotations about specified axes. There are 12 possible sequences: 6 symmetric (XYX, XZX, YXY, YZY, ZXZ, ZYZ) and 6 asymmetric (XYZ, XZY, YXZ, YZX, ZXY, ZYX).

The sequence determines how Euler angles are applied: the first rotation is about the first axis, the second about the second axis, and the third about the third axis. For example, XYZ means rotate about X, then Y, then Z.

Attributes:

Name Type Description
XYX

X-Y-X sequence (symmetric). Numerical value: 121
XYZ

X-Y-Z sequence (Roll-Pitch-Yaw in aerospace). Numerical value: 123
XZX

X-Z-X sequence (symmetric). Numerical value: 131
XZY

X-Z-Y sequence. Numerical value: 132
YXY

Y-X-Y sequence (symmetric). Numerical value: 212
YXZ

Y-X-Z sequence. Numerical value: 213
YZX

Y-Z-X sequence. Numerical value: 231
YZY

Y-Z-Y sequence (symmetric). Numerical value: 232
ZXY

Z-X-Y sequence. Numerical value: 312
ZXZ

Z-X-Z sequence (symmetric). Numerical value: 313
ZYX

Z-Y-X sequence (Yaw-Pitch-Roll in aerospace). Numerical value: 321
ZYZ

Z-Y-Z sequence (classical Euler angles in physics). Numerical value: 323
Example 
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import brahe as bh
import numpy as np

# Create Euler angles using XYZ sequence (Roll-Pitch-Yaw)
euler_rpy = bh.EulerAngle(bh.EulerAngleOrder.XYZ, 10.0, 20.0, 30.0, bh.AngleFormat.DEGREES)
print(f"Order: {euler_rpy.order}")  # EulerAngleOrder.XYZ

# Create Euler angles using ZYZ sequence (classical)
euler_zyz = bh.EulerAngle(bh.EulerAngleOrder.ZYZ, 45.0, 60.0, 90.0, bh.AngleFormat.DEGREES)

# Convert quaternion to Euler angles with specific sequence
q = bh.Quaternion(1.0, 0.0, 0.0, 0.0)
euler = bh.EulerAngle.from_quaternion(q, bh.EulerAngleOrder.ZYX)

ZXY class-attribute 

ZXY: Any = EulerAngleOrder.ZXY

Enumeration of Euler angle rotation sequences.

Specifies the order of rotations for Euler angle representations. Each sequence represents three consecutive rotations about specified axes. There are 12 possible sequences: 6 symmetric (XYX, XZX, YXY, YZY, ZXZ, ZYZ) and 6 asymmetric (XYZ, XZY, YXZ, YZX, ZXY, ZYX).

The sequence determines how Euler angles are applied: the first rotation is about the first axis, the second about the second axis, and the third about the third axis. For example, XYZ means rotate about X, then Y, then Z.

Attributes:

Name Type Description
XYX

X-Y-X sequence (symmetric). Numerical value: 121
XYZ

X-Y-Z sequence (Roll-Pitch-Yaw in aerospace). Numerical value: 123
XZX

X-Z-X sequence (symmetric). Numerical value: 131
XZY

X-Z-Y sequence. Numerical value: 132
YXY

Y-X-Y sequence (symmetric). Numerical value: 212
YXZ

Y-X-Z sequence. Numerical value: 213
YZX

Y-Z-X sequence. Numerical value: 231
YZY

Y-Z-Y sequence (symmetric). Numerical value: 232
ZXY

Z-X-Y sequence. Numerical value: 312
ZXZ

Z-X-Z sequence (symmetric). Numerical value: 313
ZYX

Z-Y-X sequence (Yaw-Pitch-Roll in aerospace). Numerical value: 321
ZYZ

Z-Y-Z sequence (classical Euler angles in physics). Numerical value: 323
Example 
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import brahe as bh
import numpy as np

# Create Euler angles using XYZ sequence (Roll-Pitch-Yaw)
euler_rpy = bh.EulerAngle(bh.EulerAngleOrder.XYZ, 10.0, 20.0, 30.0, bh.AngleFormat.DEGREES)
print(f"Order: {euler_rpy.order}")  # EulerAngleOrder.XYZ

# Create Euler angles using ZYZ sequence (classical)
euler_zyz = bh.EulerAngle(bh.EulerAngleOrder.ZYZ, 45.0, 60.0, 90.0, bh.AngleFormat.DEGREES)

# Convert quaternion to Euler angles with specific sequence
q = bh.Quaternion(1.0, 0.0, 0.0, 0.0)
euler = bh.EulerAngle.from_quaternion(q, bh.EulerAngleOrder.ZYX)

ZXZ class-attribute 

ZXZ: Any = EulerAngleOrder.ZXZ

Enumeration of Euler angle rotation sequences.

Specifies the order of rotations for Euler angle representations. Each sequence represents three consecutive rotations about specified axes. There are 12 possible sequences: 6 symmetric (XYX, XZX, YXY, YZY, ZXZ, ZYZ) and 6 asymmetric (XYZ, XZY, YXZ, YZX, ZXY, ZYX).

The sequence determines how Euler angles are applied: the first rotation is about the first axis, the second about the second axis, and the third about the third axis. For example, XYZ means rotate about X, then Y, then Z.

Attributes:

Name Type Description
XYX

X-Y-X sequence (symmetric). Numerical value: 121
XYZ

X-Y-Z sequence (Roll-Pitch-Yaw in aerospace). Numerical value: 123
XZX

X-Z-X sequence (symmetric). Numerical value: 131
XZY

X-Z-Y sequence. Numerical value: 132
YXY

Y-X-Y sequence (symmetric). Numerical value: 212
YXZ

Y-X-Z sequence. Numerical value: 213
YZX

Y-Z-X sequence. Numerical value: 231
YZY

Y-Z-Y sequence (symmetric). Numerical value: 232
ZXY

Z-X-Y sequence. Numerical value: 312
ZXZ

Z-X-Z sequence (symmetric). Numerical value: 313
ZYX

Z-Y-X sequence (Yaw-Pitch-Roll in aerospace). Numerical value: 321
ZYZ

Z-Y-Z sequence (classical Euler angles in physics). Numerical value: 323
Example 
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import brahe as bh
import numpy as np

# Create Euler angles using XYZ sequence (Roll-Pitch-Yaw)
euler_rpy = bh.EulerAngle(bh.EulerAngleOrder.XYZ, 10.0, 20.0, 30.0, bh.AngleFormat.DEGREES)
print(f"Order: {euler_rpy.order}")  # EulerAngleOrder.XYZ

# Create Euler angles using ZYZ sequence (classical)
euler_zyz = bh.EulerAngle(bh.EulerAngleOrder.ZYZ, 45.0, 60.0, 90.0, bh.AngleFormat.DEGREES)

# Convert quaternion to Euler angles with specific sequence
q = bh.Quaternion(1.0, 0.0, 0.0, 0.0)
euler = bh.EulerAngle.from_quaternion(q, bh.EulerAngleOrder.ZYX)

ZYX class-attribute 

ZYX: Any = EulerAngleOrder.ZYX

Enumeration of Euler angle rotation sequences.

Specifies the order of rotations for Euler angle representations. Each sequence represents three consecutive rotations about specified axes. There are 12 possible sequences: 6 symmetric (XYX, XZX, YXY, YZY, ZXZ, ZYZ) and 6 asymmetric (XYZ, XZY, YXZ, YZX, ZXY, ZYX).

The sequence determines how Euler angles are applied: the first rotation is about the first axis, the second about the second axis, and the third about the third axis. For example, XYZ means rotate about X, then Y, then Z.

Attributes:

Name Type Description
XYX

X-Y-X sequence (symmetric). Numerical value: 121
XYZ

X-Y-Z sequence (Roll-Pitch-Yaw in aerospace). Numerical value: 123
XZX

X-Z-X sequence (symmetric). Numerical value: 131
XZY

X-Z-Y sequence. Numerical value: 132
YXY

Y-X-Y sequence (symmetric). Numerical value: 212
YXZ

Y-X-Z sequence. Numerical value: 213
YZX

Y-Z-X sequence. Numerical value: 231
YZY

Y-Z-Y sequence (symmetric). Numerical value: 232
ZXY

Z-X-Y sequence. Numerical value: 312
ZXZ

Z-X-Z sequence (symmetric). Numerical value: 313
ZYX

Z-Y-X sequence (Yaw-Pitch-Roll in aerospace). Numerical value: 321
ZYZ

Z-Y-Z sequence (classical Euler angles in physics). Numerical value: 323
Example 
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import brahe as bh
import numpy as np

# Create Euler angles using XYZ sequence (Roll-Pitch-Yaw)
euler_rpy = bh.EulerAngle(bh.EulerAngleOrder.XYZ, 10.0, 20.0, 30.0, bh.AngleFormat.DEGREES)
print(f"Order: {euler_rpy.order}")  # EulerAngleOrder.XYZ

# Create Euler angles using ZYZ sequence (classical)
euler_zyz = bh.EulerAngle(bh.EulerAngleOrder.ZYZ, 45.0, 60.0, 90.0, bh.AngleFormat.DEGREES)

# Convert quaternion to Euler angles with specific sequence
q = bh.Quaternion(1.0, 0.0, 0.0, 0.0)
euler = bh.EulerAngle.from_quaternion(q, bh.EulerAngleOrder.ZYX)

ZYZ class-attribute 

ZYZ: Any = EulerAngleOrder.ZYZ

Enumeration of Euler angle rotation sequences.

Specifies the order of rotations for Euler angle representations. Each sequence represents three consecutive rotations about specified axes. There are 12 possible sequences: 6 symmetric (XYX, XZX, YXY, YZY, ZXZ, ZYZ) and 6 asymmetric (XYZ, XZY, YXZ, YZX, ZXY, ZYX).

The sequence determines how Euler angles are applied: the first rotation is about the first axis, the second about the second axis, and the third about the third axis. For example, XYZ means rotate about X, then Y, then Z.

Attributes:

Name Type Description
XYX

X-Y-X sequence (symmetric). Numerical value: 121
XYZ

X-Y-Z sequence (Roll-Pitch-Yaw in aerospace). Numerical value: 123
XZX

X-Z-X sequence (symmetric). Numerical value: 131
XZY

X-Z-Y sequence. Numerical value: 132
YXY

Y-X-Y sequence (symmetric). Numerical value: 212
YXZ

Y-X-Z sequence. Numerical value: 213
YZX

Y-Z-X sequence. Numerical value: 231
YZY

Y-Z-Y sequence (symmetric). Numerical value: 232
ZXY

Z-X-Y sequence. Numerical value: 312
ZXZ

Z-X-Z sequence (symmetric). Numerical value: 313
ZYX

Z-Y-X sequence (Yaw-Pitch-Roll in aerospace). Numerical value: 321
ZYZ

Z-Y-Z sequence (classical Euler angles in physics). Numerical value: 323
Example 
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import brahe as bh
import numpy as np

# Create Euler angles using XYZ sequence (Roll-Pitch-Yaw)
euler_rpy = bh.EulerAngle(bh.EulerAngleOrder.XYZ, 10.0, 20.0, 30.0, bh.AngleFormat.DEGREES)
print(f"Order: {euler_rpy.order}")  # EulerAngleOrder.XYZ

# Create Euler angles using ZYZ sequence (classical)
euler_zyz = bh.EulerAngle(bh.EulerAngleOrder.ZYZ, 45.0, 60.0, 90.0, bh.AngleFormat.DEGREES)

# Convert quaternion to Euler angles with specific sequence
q = bh.Quaternion(1.0, 0.0, 0.0, 0.0)
euler = bh.EulerAngle.from_quaternion(q, bh.EulerAngleOrder.ZYX)