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According to the characteristic of responding-antisubmarine, this paper analyzes submarine maneuvering model and anti-submarine patrol route model combining anti-submarine patrol aircraft and using the method of magnetic finder searching under the condition of responding-antisubmarine, establishes the effectiveness model of anti-submarine patrol aircraft by using magnetic finder to check submarine so as to lay a foundation for magnetic finder optimization. I. INTRODUCTION Responding-antisubmarine refers to combat operations that anti-submarine patrols at the specified position on standby and when get the submarine activity information, flies to the sea area finding sub and searches submarine. Its characteristic is that we know the position of the submarine at a certain moment before search. Antisubmarine patrol aircraft flight speed is fast, so when implement responding-antisubmarine, we can greatly reduce the delay time (1). At the same time, magnetic finder is not affected by acoustic environmental impact, continuous search, high positioning accuracy, etc.; therefore anti-submarine patrol aircraft can immediately put search assignments after reaching the responding waters with a few minutes magnetic compensation flight by using magnetic finder. This narrows the scope of submarine exercise, thus improves the probability of submarine finding. So responding-antisubmarine is the main search campaign pattern of anti-submarine patrol aircraft using magnetic finder (2). II. SUBMARINE MANEUVER MODEL A. Submarine's initial position For other forces such as surface ships, sonobuoy, there is a great deal of uncertainty for the first time contact's submarine location data. It is generally believed the submarine's initial position is of two-dimensional Gaussian distribution, and distribution center is the initial position of the point (3). Set the initial position of distribution center in the origin of coordinates, and the expected value is 0. The initial position point ( ) 0 0 , y x meets independent identical distribution in X, Y directions. If the mean square error is 0 σ σ σ = = y x , the joint probability density function of the initial position point