Module utils

Utility functions shared by different modules, and which may be useful to engineers.

Functions

• are_eigenvalues_stable
  Checks if the given matrix represents a stable linear system by examining its eigenvalues.
• between_0_360
  Returns the provided angle bounded between 0.0 and 360.0.
• between_pm_180
  Returns the provided angle bounded between -180.0 and +180.0
• between_pm_x
  Returns the provided angle bounded between -x and +x.
• capitalize
  Capitalize the first letter of a string
• cartesian_to_spherical
  Converts the input vector V from Cartesian coordinates to spherical coordinates Returns ρ, θ, φ where the range ρ is in the units of the input vector and the angles are in radians
• denormalize
  Denormalize a value between -1.0 and 1.0
• is_diagonal
  Checks if the provided 3x3 matrix is diagonal.
• kronecker
  The Kronecker delta function
• mag_order
  Returns the order of mangitude of the provided value
• normalize
  Normalize a value between -1.0 and 1.0
• perpv
  Returns the components of vector a orthogonal to b
• projv
  Returns the projection of a onto b
• r1
  Returns a rotation matrix for a rotation about the X axis.
• r2
  Returns a rotation matrix for a rotation about the Y axis.
• r3
  Returns a rotation matrix for a rotation about the Z axis.
• rotv
  Rotate a vector about a given axis
• rss_errors
  Computes the Root Sum Squared (RSS) state errors between two provided vectors.
• rss_orbit_errors
  Computes the Root Sum Squared (RSS) orbit errors in kilometers and kilometers per second.
• rss_orbit_vec_errors
  Computes the Root Sum Squared (RSS) state errors in position and in velocity of two orbit vectors [P V].
• spherical_to_cartesian
  Converts the input vector V from Cartesian coordinates to spherical coordinates Returns ρ, θ, φ where the range ρ is in the units of the input vector and the angles are in radians
• tilde_matrix
  Returns the skew-symmetric matrix (also known as the tilde matrix) corresponding to the provided 3D vector.
• unitize
  Returns the unit vector of the moved input vector