Abstract
When inertia properties (mass, center of gravity, and inertia tensor) of an aircraft vary over time, the dynamic equations for this aircraft become time-varying. This paper first categorizes aircraft’s time-varying inertia problems into four categories. And then two sets of dynamic equations are built based on whether mass is constant. Methods for representing and calculating the time-varying inertia properties are proposed. Then the Linear TimeVarying (LTV) system theory is used as a mathematical form suitable for analytical study of dynamical behavior with satisfactory accuracy. At last, two examples, dual-track airdrop and aerial firefighting, are given respectively for the two sets of equations.
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