Module nyx_space::utils

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

Functions

• are_eigenvalues_stable
  Returns whether this matrix represent a stable linear system looking at its eigen values. NOTE: This code is not super pretty on purpose to make it clear that we’re covering all of the cases
• 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
• 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
• is_diagonal
  Returns whether the provided square matrix (3x3) is diagonal
• kronecker
  The Kronecker delta function
• mag_order
  Returns the order of mangitude of the provided value
• normalize
• perpv
  Returns the components of vector a orthogonal to b
• projv
  Returns the projection of a onto b
• r1
  Returns a rotation about the X axis. The angle must be provided in radians. WARNING: this is a COORDINATE SYSTEM rotation by x radians; this matrix, when applied to a vector, rotates the vector by -x radians, not x radians. Applying the matrix to a vector yields the vector’s representation relative to the rotated coordinate system. Source: https://naif.jpl.nasa.gov/pub/naif/toolkit_docs/C/cspice/eul2xf_c.html
• r2
  Returns a rotation about the Y axis. The angle must be provided in radians. WARNING: this is a COORDINATE SYSTEM rotation by x radians; this matrix, when applied to a vector, rotates the vector by -x radians, not x radians. Applying the matrix to a vector yields the vector’s representation relative to the rotated coordinate system. Source: https://naif.jpl.nasa.gov/pub/naif/toolkit_docs/C/cspice/eul2xf_c.html
• r3
  Returns a rotation about the Z axis. The angle must be provided in radians. WARNING: this is a COORDINATE SYSTEM rotation by x radians; this matrix, when applied to a vector, rotates the vector by -x radians, not x radians. Applying the matrix to a vector yields the vector’s representation relative to the rotated coordinate system. Source: https://naif.jpl.nasa.gov/pub/naif/toolkit_docs/C/cspice/eul2xf_c.html
• rotv
  Rotate a vector about a given axis
• rss_errors
  Computes the RSS state errors in two provided vectors
• rss_orbit_errors
  Returns the RSS orbit errors in kilometers and kilometers per second
• rss_orbit_vec_errors
  Computes the 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 tilde matrix from the provided Vector3.
• unitize
  Returns the unit vector of the moved input vector