Orientation axes define the 'situation' part of the frame of reference. These are the imaginary lines that help determine directions and movement in space. If a coordinate system is your starting point, orientation axes guide how you interpret movement from that point.
Consider orientation axes as cardinal directions on a compass—north, south, east, west—but for movement in three-dimensional space. They establish
- The x, y, z axes in a Cartesian coordinate system.
- The radial, angular directions in polar coordinates.
- The latitude, longitude, and altitude lines in spherical systems.
These axes not only help in understanding directions but also in understanding how objects are oriented in space. They are crucial for describing how objects move, rotate, or remain stationary in their frames.
By defining orientation axes, we can describe movements with directions, like when an airplane changes its orientation by altering its pitch, roll, or yaw angles.