Rotation Matrix Calculations Explained | Numerical Methods with Python 5

This video provides an intuitive understanding of the numerical values inside of a rotation matrix. A pure Z axis rotation is used to illustrate the reason why rotation matrices are formulated the way they are. For this case, we can use simple trigonometry of a triangle to calculate the coordinates of a rotated reference frame.

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#rotationmatrix #rotationmatrices #numericalmethods

[alfonsogonzalez-astrodynam]

Let me know if there is anything still unclear / confusing about rotation matrices so I can clear it up in the next video on the 3 principal axes rotations!

[Barneymeatballs]

Awesome explanation, thank you! Very concise and a helpful brush up as I work through orbital mechanics

[edtrejo]

quisiera saber la transformacion de unas coordenadas de un satelite que esta en una orbita en funcion de la verdadera anomalia a cierto tiempo

[ibrahim]

Thank you for this helpful explanation. Can you tell me how I can do an numpy array for the rotated x and rotated y Points?
Would it be something like x_rotated = np.array( np.cos(theta), -np.sin(theta))
and y_rotated = np.array( np.sin(theta), np.cos(theta))

Thank you.