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In ordinary aircrafts, the geographic coordinate is usually taken as reference coordinate to build navigation systems.
A reference coordinate system is introduced to simplify the control process and avoid the singular value problem of Euler angles.
Then, the reference coordinate is placed at the static position under the nominal loading so that the system dynamic equation is derived.
When involving practical computation, convenient reference coordinate systems can be chosen and the methods and tools for matrix computation can be employed.
Both the AS and the SS are modeled as rigid bodies with the reference coordinate frames described for the AS pointing to the SS according to different missions.
The third approach is based upon the existence of a transformation that links the material coordinate system with a fixed reference coordinate system.
The technique is not dependent on a fixed reference coordinate system and thus may be suitable for use in a dynamic system such as a moving vehicle.
Hence, by means of this model, the 3D surface data of the tested object can be transformed into the same reference coordinate system.
The platform is able to express points in a global reference coordinate system located in the lower platform through its mathematical model.
Second, reconstruction is not done in physical coordinates, but in a reference coordinate system which eliminates scaling effects and thus avoids ill-conditioned reconstruction matrices.
Before the assembly procedure, a reference coordinate system will be defined with three fiducial targets on the wall of the test hall by a sophisticated optical metrology system (SOMS).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com