Radiometer effect and residual gas damping are important interfering forces on the proof mass in purely gravitational orbit, which can affect the construction of the purely gravitational orbit. For spacecrafts in purely gravitational orbit, radiometer effect and residual gas damping describe two different kinds of gas molecules forces caused by temperature gradient and the relative motion of proof mass in the cavity, respectively. These two forces describe gas molecules forces from different views and are both parts of gas molecules forces. However, the coupled model of radiometer effect and residual gas damping can reflect the total force of gas molecules on proof mass. Considering the complex form of the coupled model, the physical parameters in coupled model were analyzed by numerical methods in the Inner-formation Flying System (IFS). These physical parameters contain the relative velocity of the inner-satellite, the inner-satellite radius, the outer-satellite cavity radius, the average temperature and pressure, the temperature difference in the cavity. By fitting a large number of numerical results, an approximate formula for gas molecules forces on the inner-satellite was obtained. Compared with the original results, the fitting errors were less than 20%.%辐射计效应和气体阻尼是纯引力轨道验证质量的重要干扰力,是影响纯引力轨道构造水平的重要因素.在纯引力轨道飞行器中,这两种力分别描述了由腔体中温度梯度和验证质量相对运动引起的气体分子作用,两者从不同角度描述了气体分子作用力,均是气体分子作用力的一部分,而两者的耦合模型则可以反映验证质量受到的气体分子作用力总和.针对耦合模型形式复杂的特点,本文以内编队系统为例,利用数值方法分析了耦合模型中的影响因素,这些因素包括内卫星相对运动速度、内卫星半径、外卫星腔体半径、腔体平均温度、腔体温差和腔体平均压力等.对大量计算结果进行了数据拟合,给出了内卫星气体分子作用力与各物理参数关系的拟合公式,和原始计算结果相比,拟合误差在20％以内.
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