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This is accomplished by linearising the mathematical model describing the motion of the satellite when considering a priori reference gravity field model and remaining a priori assumptions (such as analytically derived initial state vectors, initial guess for drag coefficients, calibration parameters provided by instruments manufacturer).
The optimum skewing angle is analytically derived.
The dispersion equation is analytically derived and numerically solved.
The stability of the proposed method was analytically derived.
In a second version of the system, an analytically derived illumination pattern is projected onto the sample to force a dominant single-frequency texture.
Based on relatively simple configurations and arrangements of equipment, they make a direct connection between what has been analytically derived and what is observed.
The buckling-hinge model validity is also confirmed by the good agreement between the simulation observed cross-section shape at the buckling hinge and its analytically derived counterpart (Fig. 4e). Figure 4: Reversible buckling of a bent AG tubular arm.
The basis of this improvement is analytically derived.
Kinematic and kinetostatic models are then analytically derived for quick parameter assessments.
The parameter matrices of the FDF are analytically derived via solving simple matrix equations recursively.
In order to model collectors, energy balance equations are analytically derived and solved.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com