This relates the " ray vectors " at the input and output planes by the " ray transfer matrix " ( RTM ) "'M "', which represents the optical system between the two reference planes.
22.
These formulae assume that the two systems have the same origin and same reference plane, measure the azimuth angle in the same sense from the same axis, and that the spherical angle is inclination from the cylindrical-axis.
23.
In mathematics, a "'spherical coordinate system "'is a coordinate system for azimuth angle "'of its orthogonal projection on a reference plane that passes through the origin and is orthogonal to the zenith, measured from a fixed reference direction on that plane.
24.
If a highly detailed component requires inspection, the conventional method of inspection would be to fixture the part to create specified datum reference plane and go through a timely CMM touch-probe inspection process or use a vision system to map exterior surfaces.
25.
Finally the inner part of the rotor blades have a pitch angle fixed relative to a reference plane perpendicular to the rotor shaft ( to be able to do this the blades are flexible and can twist in the longitudinal direction ).
26.
When the system is used for physical three-space, it is customary to use positive sign for azimuth angles that are measured in the counter-clockwise sense from the reference direction on the reference plane, as seen from the zenith side of the plane.
27.
The axis is variously called the " cylindrical " or " longitudinal " axis, to differentiate it from the " polar axis ", which is the ray that lies in the reference plane, starting at the origin and pointing in the reference direction.
28.
;Reference Datum : The " reference datum " is a reference plane that allows accurate, and uniform, measurements to any point on the aircraft . The location of the reference datum is established by the manufacturer and is defined in the aircraft flight manual.
29.
These formulae assume that the two systems have the same origin, that the spherical reference plane is the Cartesian-plane, that is inclination from the direction, and that the azimuth angles are measured from the Cartesian-axis ( so that the-axis has + 90?} } ).
30.
The asteroid spin vector catalog at Poznan Observatory avoids use of the phrases " retrograde rotation " or " prograde rotation " as it depends which reference plane is meant and asteroid coordinates are usually given with respect to the ecliptic plane rather than the asteroid's orbital plane.
