# Coordinate Systems

Represent aircraft and spacecraft motion and orientation

Coordinate systems are an important part of aerospace systems. Use the coordinate system blocks to standardize units across your model, transform spatial representations and coordinate systems, describe the behavior of three- and six-degrees-of-motion bodies, and perform common aerospace math operations.

For example, axes transformation blocks support transformations such as those between:

• Direction cosine matrices and quaternions

• Rotation angles and quaternions

• Earth-centered inertial (ECI) coordinates and azimuth or geodetic latitude, longitude, altitude (LLA) coordinates

• Flat Earth positions from geodetic latitude, longitude, and altitude

For an overview of coordinate systems, see About Aerospace Coordinate Systems.

## Categories

• Axes Transformations
Transform axes of coordinate systems to different types, such as Euler angles to quaternions
• Equations of Motion
Implement 3DoF, 6DoF, and point mass equations of motion to determine body position, velocity, attitude, related values
• Math Operations
Blocks for common mathematical and matrix operations, including sine and cosine generation; 3-by-3 matrix operations