Abstract
The similitude problem for the simulation of orbits under the central gravity deviation is investigated. The dynamic models are developed with consideration of the magnitude deviation and the orientation deviation of the central gravity, respectively. Similitude theory and dimensional analysis are employed to derive the scaling laws. Since it’s often impossible to maintain complete similarity resulting from practical constraints, a metric which combines dimensional and activity analyses is given. The metric could quantify the proximity of an actual model to exact similitude. Through creating the bond graph model of the two-body problem, the activities of the states are measured. Validity of the proposed technique is proven via numerical simulations, and the results are presented and compared.
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