| 引用本文: | 任萱.扰动引力作用时自由飞行弹道计算的新方法.[J].国防科技大学学报,1985,(2):41-52.[点击复制] |
| Ren Xuan.A New Method of Calculation for the Free Flight Trajectory when Vehicle is Effected by the Disturbing Cravity[J].Journal of National University of Defense Technology,1985,(2):41-52[点击复制] |
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| 扰动引力作用时自由飞行弹道计算的新方法 |
| 任萱 |
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| 摘要: |
| 地球外部引力势可用球谐函数模型表示，通常模型的参数为γ、θ、λ，极点为北极。此模型直接用于自由飞行弹道计算，由于要进行逆推计算，随着模型阶数的增加，计算速度将会下降。
本文用球谐函数变换方法[2] 获得一新模型，模型的参数为 r(地心距)，β(射程)和ζ(侧向偏差)，极点是重新选择的。作了某些近似后，使用新模型求解弹道，由于避免了递推计算，从而提高了计算速度。
实际计算表明，当模型阶数为30时，新模型的计算速度可提高 6-7 倍，精度为几米。 |
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| 投稿日期：1984-11-01 |
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| A New Method of Calculation for the Free Flight Trajectory when Vehicle is Effected by the Disturbing Cravity |
| Ren Xuan |
| Abstract: |
| The external gravitational potential of the earth is shown by the spherical harmonics model. In general，the parameters of the model are γ、θ、λand the polar is the North Pole. When the model is app1ied directly to the calculation of the free f1ight trajectory，since the recurrent calculation can not be avoided，an increase in orders of model wil1 result in a decrease in the speed of calculation. In this paper，the transitional method of the spherical harmonics[2] is applied and a new model is gained. The parameters of the new model are γ(geocentric radius)，β(range)，ζ(cross-deviation)and the polar is decided on after choice-making. With some approximations the new model is now being applied in the calculation of trajectory. With the recurrent calculation got rid of，the speed of calculation is increased. Practical calculations have shown that when the orders of the model are 30，the application of the new model enables us to enhance the speed of calculation 6 or 7 times and the error will be no more than several meters. |
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