北斗工程IGSO/MEO/GEO发射轨道设计

随着我国航天事业的蓬勃发展，运载火箭发射要求也呈现多样化。北斗卫星导航系统是我国自行研制的全球卫星导航系统，经历三步跨越式发展，目前已经全面建成。CZ-3A系列火箭承担了北斗工程全部发射任务，该工程对火箭倾斜同步转移轨道（IGTO）、中圆转移轨道（MTO）、地球同步转移轨道（GTO）新类型轨道要求。介绍了该类轨道特点，讨论了火箭发射方案、发射轨道设计及高空风双向补偿方法。实际飞行考核充分证明了发射轨道设计的正确性，设计方法确保了北斗工程全部发射任务取得圆满成功，为北斗工程顺利实施奠定了基础。     

Accurate approximation of in-ecliptic trajectories for E-sail with constant pitch angle

Propellantless continuous-thrust propulsion systems, such as electric solar wind sails, may be successfully used for new space missions, especially those requiring high-energy orbit transfers. When the mass-to-thrust ratio is sufficiently large, the spacecraft trajectory is characterized by long flight times with a number of revolutions around the Sun. The corresponding mission analysis, especially when addressed within an optimal context, requires a significant amount of simulation effort. Analytical trajectories are therefore useful aids in a preliminary phase of mission design, even though exact solution are very difficult to obtain. The aim of this paper is to present an accurate, analytical, approximation of the spacecraft trajectory generated by an electric solar wind sail with a constant pitch angle, using the latest mathematical model of the thrust vector. Assuming a heliocentric circular parking orbit and a two-dimensional scenario, the simulation results show that the proposed equations are able to accurately describe the actual spacecraft trajectory for a long time interval when the propulsive acceleration magnitude is sufficiently small.     

Substitution of satellite-based land surface temperature defective data using GSP method

Land surface temperature (LST) as an important environmental variable provides valuable information for earth environmental system modelling. Currently, LST is obtained through satellite thermal sensors at various spatial and temporal resolutions. Although spatially continuous satellite-based LST measurements are intended to overcome the shortcomings of sparse ground-based LST measurements, LST images often contain anomalous values due to the existence of clouds or sensor malfunctioning. The problem becomes more serious where the users deal with high spatial resolution characterized by low temporal resolution. This study examines the capability of a newly developed graph signal processing (GSP) method using two-dimensional single-date thermal data. For this purpose, four Landsat/TIRS datasets are analyzed. The data of five elliptical regions on thermal images are eliminated and then reconstructed through the GSP method and using the LST values of the enclosing rectangles containing the ellipsoids. The results indicate that the temperature variation determined by the GSP method generally conforms to the original image LST values. According to a correlation test conducted on the original image LST and those obtained through the GSP method, the values vary from 58% to 95%, which is an above-the-average rate (RMSE from 0.69 to 2.27). The statistical analysis of the original image LST in both the elliptical regions and the enclosing rectangles containing the ellipsoids indicates that an increase in the variance of LST data causes an increased error in the calculation of temperature by the GSP method, and vice versa. The results of the analysis of variance (ANOVA) and Duncan test indicated that an increase in the number of the non-zero spectral bins would result in increased RMSE values for all the dates and the regions. Moreover, the model errors were significant at the 0.05 level across all the image date and five elliptical study regions. Based on the results, the use of this method is recommended for the reconstruction of LST missing values, where dissimilarity of atmospheric conditions limits the use of other methods that depend on the time series data of various dates and a great deal of data calculation.     

逆向工程的关键技术及其研究

综述了逆向工程中实物数字化技术、测量数据的预处理、曲面重建技术、重构曲面的评价和检验等关键技术的发展现状和存在的问题,并对今后的发展方向进行了讨论。     

样条函数在轨道计算中的应用

提出了在已知现速度的情况下，用样条函数计算视加速度的新方法，避免了传统牛顿插值法的不可靠性及由此而产生轨道重构错误的缺点，仿真结果表明用样条函数法重构的轨道精度明显优于牛顿插值法。     

飞机外形件三角网格模型光滑B样条曲面重建

综合考虑曲面重建时的拟合精度、曲面片拼接处的连续性和曲面的光顺性等因素,以三角网格模型的双三次B样条曲面重建为例,研究了飞机外形件三角网格模型的分片光滑B样条曲面重建方法。该方法首先采用最小二乘法逼近散乱数据,初步获得分片B样条曲面;然后将光顺准则加权到最小二乘函数中调节曲面光顺程度;最后运用罚函数法保证曲面片边界近似G1连续。将该方法应用于飞机外形件实测数据的曲面重建,误差分析结果验证了方法的有效性。     

基于径向基函数神经网络的自由曲面重构

根据径向基函数神经网络（RBFNN）具有很强的非线性逼近能力的优点，本文采用RBF网络模型进行自由曲面重构，建立了适应于曲面重构的径向基函数网络模型，讨论了基函数对重构曲面连续性的影响，并与多自由曲面重构，建立了适应于曲面重构的径向基函数风络模型，讨论了基函数对重构曲面连续性的影响，并与多层感知器神经网络的性能进行对比。理论分析和仿真实验结果表明：常用的几种径向基函数重构的曲面都具有很好的连续性，径向基函数网络用于曲面重构，不论是在拟合精度，还是网络的训练速度都明显优于多层感知器网络，具有一定的实用价值。     

基于推力加速度模板的主动段弹道跟踪方法

对弹道导弹的主动段跟踪是导弹防御中重要的环节。针对此问题提出了一种基于推力加速度模板的主动段跟踪算法，该算法需要主动段推力加速度信息支持。给出了一种简捷的推力加速度模板构建方法。利用近常速运动模型描述了导弹运动特性，解决了对导弹发射时间的估计问题和模板概率的递推计算问题，并将该方法应用到空间预警系统中，通过仿真验证了该方法具有较好的识别效果，位置和速度估计误差都接近于CRLB限。     

基于预警卫星观测数据的弹道重构算法研究

地球静止轨道顶警卫星弹道重构是弹道导弹防御的一个重要环节，利用基于Stirting插值逼近的非线性KALMAN滤波方法，对凝视型弹道重构算法进行了研究。在对导弹动力学模型分析的基础上，建立了弹道状态方程组和观测方程组，并对滤波计算中的初值选取，参数变换进行了讨论。滤波计算中的初值选取所用的多项式拟合方法，可以进行扫描型弹道重构的实现，但精度不高。通过仿真计算，对算法的可行性进行了验证。     

有限推力下时间最优轨道转移

研究了一种有限推力作用下的时间最优轨道转移计算方法。以非奇异根素形式的高斯行星摄动方程为基础,由庞德里亚金极小值原理导出正则方程组,通过将最优控制问题转化为协状态初值为待优化参数的参数优化问题,并通过非线性规划求解得到的参数优化问题,从而避开求解两点边值问题的困难。文章最后给出2个算例,分别计算了零倾角零偏心率最优轨道转移和大倾角改变最优轨道转移。计算过程及结果表明本文所用方法对协状态初值猜测敏感性小,收敛迅速;零倾角零偏心率情况下无奇异;所得控制轨线光滑。