Axes Transformations

Transform axes of coordinate systems to different types, such as Euler angles to quaternions

Blocks

Body/Wind Axis Transformations

Direction Cosine Matrix Body to Wind	Convert angle of attack and sideslip angle to direction cosine matrix
Direction Cosine Matrix Body to Wind to Alpha and Beta	Convert direction cosine matrix to angle of attack and sideslip angle
Direction Cosine Matrix to Quaternions	Convert direction cosine matrix to quaternion vector
Direction Cosine Matrix to Rodrigues	Convert direction cosine matrix to Euler-Rodrigues vector
Direction Cosine Matrix to Rotation Angles	Convert direction cosine matrix to rotation angles
Direction Cosine Matrix to Wind Angles	Convert direction cosine matrix to wind angles
Quaternions to Direction Cosine Matrix	Convert quaternion vector to direction cosine matrix
Quaternions to Rodrigues	Convert quaternion to Euler-Rodrigues vector
Quaternions to Rotation Angles	Determine rotation vector from quaternion
Rodrigues to Direction Cosine Matrix	Convert Euler-Rodrigues vector to direction cosine matrix
Rodrigues to Quaternions	Convert Euler-Rodrigues vector to quaternion
Rodrigues to Rotation Angles	Convert Euler-Rodrigues vector to rotation angles
Rotation Angles to Direction Cosine Matrix	Convert rotation angles to direction cosine matrix
Rotation Angles to Quaternions	Calculate quaternion from rotation angles
Rotation Angles to Rodrigues	Convert rotation angles to Euler-Rodrigues vector
Wind Angles to Direction Cosine Matrix	Convert wind angles to direction cosine matrix

Geodetic Transformations

Direction Cosine Matrix ECEF to NED	Convert geodetic latitude and longitude to direction cosine matrix
Direction Cosine Matrix ECEF to NED to Latitude and Longitude	Convert direction cosine matrix to geodetic latitude and longitude
Direction Cosine Matrix ECI to ECEF	Convert Earth-centered inertial (ECI) to Earth-centered Earth-fixed (ECEF) coordinates
ECEF Position to LLA	Calculate geodetic latitude, longitude, and altitude above planetary ellipsoid from Earth-centered Earth-fixed (ECEF) position
ECI Position to AER	Convert Earth-centered inertial (ECI) coordinates to azimuth coordinates
ECI Position to LLA	Convert Earth-centered inertial (ECI) coordinates to geodetic latitude, longitude, altitude (LLA) coordinates
Flat Earth to LLA	Estimate geodetic latitude, longitude, and altitude from flat Earth position
Geodetic to Geocentric Latitude	Convert geodetic latitude to geocentric latitude
Geocentric to Geodetic Latitude	Convert geocentric latitude to geodetic latitude
LLA to ECEF Position	Calculate Earth-centered Earth-fixed (ECEF) position from geodetic latitude, longitude, and altitude above planetary ellipsoid
LLA to ECI Position	Convert latitude, longitude, altitude (LLA) coordinates to Earth-centered inertial (ECI) coordinates
LLA to Flat Earth	Estimate flat Earth position from geodetic latitude, longitude, and altitude

Reference System Transformations

Besselian Epoch to Julian Epoch	Transform position and velocity components from discontinued Standard Besselian Epoch (B1950) to Standard Julian Epoch (J2000)
Julian Epoch to Besselian Epoch	Transform position and velocity components from Standard Julian Epoch (J2000) to discontinued Standard Besselian Epoch (B1950)

Transformation Utilities

Delta UT1

Calculate difference between principal Universal Time (UT1) and Coordinated Universal Time (UTC) according to International Astronomical Union (IAU) 2000A reference system

Topics

About Aerospace Coordinate Systems
Define coordinate systems to represent aircraft and spacecraft motion.
Calculate UT1 to UTC Values
Calculate difference between principal Universal Time (UT1) and Coordinated Universal Time (UTC) according to International Earth Rotation Service (IERS).