The second question of the first question of the second question of the Chinese 2022 Mathematical Modeling Contest for University Students requires how to use the minimum signal to obtain the accurate positioning of the UAV when the UAV cluster is flying in formation. The paper uses the theory of elementary mathematics, uses the angle and side length relationship between multiple UAVs, and applies the sine theorem and cosine theorem to establish the bearings-only passive positioning model. The model can be solved by only two transmitters for accurate positioning, Through practice, the model has a high fitting degree, and finally realizes the positioning of UAV.
By using the properties of congruence and Legendre symbol, It is proved that a special elliptic curve has at most three integer points at a special situation.
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