建立了以推进剂质量为目标函数，并同时满足火箭增程迫弹射程及密集度指标的数学模型，采用约束变尺度优化法，对火箭增程迫弹外弹道参数进行了优化设计，通过优化计算得到了满足设计指标的最少推进剂质量、发动机点火时间、发动机工作时间及发动机质量系数等参数值，将对火箭增程迫弹的初步设计具有参考价值。 A mathematic model is established, which takes the propellant mass as the objective function and satisfies the rocket range-extended projectile range and density index. The constrained variable-scale optimization method is used to optimize the external ballistic parameters of the rocket extended range projectile. Calculated the minimum propellant mass, engine ignition time, engine operating time and engine mass coefficient that meet the design criteria, which will be of reference value to the preliminary design of the RPA projectile.