Under single-satellite observation， the parameter estimation of the boost phase of high-precision space non-cooperative targets requires prior information. To improve the accuracy without prior information， we propose a parameter estimation model of the boost phase based on trajectory plane parametric cutting. The use of the plane passing through the geo-center and the cutting sequence line of sight （LOS） generates the trajectory-cutting plane. With the coefficient of the trajectory cutting plane directly used as the parameter to be estimated， a motion parameter estimation model in space non-cooperative targets is established， and the Gauss-Newton iteration method is used to solve the flight parameters. The experimental results show that the estimation algorithm proposed in this paper weakly relies on prior information and has higher estimation accuracy， providing a practical new idea and method for the parameter estimation of space non-cooperative targets under single-satellite warning.