三维弹道有理Bezier曲线造型与优化方法

为有效克服传统弹道优化方法解的收敛性和最优性受搜索算法、初始猜测等影响大的问题,提出了基于有理Bezier曲线的三维弹道造型与优化计算方法。根据边界条件用光滑且只含少量造型变量的有理Bezier曲线形成待优化三维造型弹道,采用逆动力学方法计算造型弹道倾角、弹道角速度和法向加速度等,结合弹道其它动力学方程和约束计算造型弹道性能指标,通过对弹道造型变量寻优得到最优弹道。这种方法将无限维弹道优化问题转换为对很少造型变量的参数优化问题, 而且得到的最优弹道完全光滑可飞。与间接法相比,无需求解两点边值问题使用方便、鲁棒性强;与直接法相比,不需要对动力学方程离散化、寻优变量少、求解收敛性好,而且解的全局最优性和光滑性更高。仿真结果及与自适应伪谱法的比较校验了方法的实用性和有效性。     

基于LQR的弹道跟踪制导律设计

针对防空导弹弹道跟踪问题,基于线性二次型调节器（ LQR）理论设计了2种弹道跟踪制导律。首先,以时间为自变量,对导弹质点运动模型线性化,得到第一种线性化模型;接着,为提高模型精度和允许扰动范围,以导弹X坐标为自变量对导弹质点运动模型线性化,得到第二种线性化模型;然后,针对2种线性化模型,利用LQR理论分别设计跟踪制导律,并给出制导指令计算公式和制导流程;最后,在一定外界干扰作用下,将所设计2种跟踪制导律应用于导弹质点运动仿真,并从抑制随机风干扰、消除初始偏差等方面对2种制导律进行比较。结果表明,2种制导律都能实现弹道精确跟踪,且基于第2种线性化模型设计的跟踪制导律各项性能均优于第1种跟踪制导律,说明基于导弹X坐标线性化的模型精确度较高,适用于弹道跟踪制导律的设计。     

小天体软着陆中的地面特征区域提取与跟踪算法

考虑到自主导航过程中的特征区域检测与跟踪问题,提出了一种新的跟踪算法。该算法是基于DIMES框架。首先,对在软着陆过程中拍摄的行星表面图像进行亮度均衡化,对处理后的图像进行二值化;然后,对二值化特征区域进行模板匹配找出高度相关位置点;最后,根据特征区域之间的几何关系确定特征区域的搜索范围,再分别提取这些相关点所代表区域的特征向量,并且与模板的特征向量进行相似性分析从而找到相似性最大的位置点。通过两组小行星表面图片进行分析验证得到了较好的效果。     

利用VLBI技术进行深空航天器跟踪的仿真分析

差分VLBI(D-VLBI)技术常用于测量航天器相对于参考射电源的角位置,用其跟踪深空航天器可取得足够高的精度。针对深空探测任务中D-VLBI技术的特性,提供了观测时间间隔的设置参考,通过仿真分析,研究了航天器和参考射电源之间的角距离、传播路径上的介质差异等因素及其对观测精度的影响,为后续深空航天器飞行任务的设计提供技术支持。     

姿态角幅值约束下的太阳帆Lissajous轨道保持控制

太阳帆航天器以两姿态角作为轨道控制输入时, 其轨道动力学方程具有非仿射非线性特性. 通过人工平动点处线性化获得的线性系统可完成太阳帆航天器轨道保持控制器的分析与设计. 由于线性近似模型为有误差模型, 存在近似有效范围约束, 表现为轨道高度约束和姿态角幅值约束. 本文研究了姿态角幅值约束对线性近似模型有效性的影响, 通过计算给出满足近似误差要求的姿态角幅值约束. 当控制输入存在幅值约束时, 控制器轨道修正能力受到束缚. 通过研究姿态角幅值约束下的最大允许入轨误差, 设计了最大允许入轨误差下线性二次型调节器(LQR)用于轨道保持控制, 并将控制器应用于太阳帆日地三体系统非线性模型中, 实现了日地人工L₁点Lissajous轨道最大允许入轨误差的控制收敛和良好精度下的轨道保持控制.      

Simple method for performance evaluation of multistage rockets

Multistage rockets are commonly employed to place spacecraft and satellites in their operational orbits. Performance evaluation of multistage rockets is aimed at defining the maximum payload mass at orbit injection, for specified structural, propulsive, and aerodynamic data of the launch vehicle. This work proposes a simple method for a fast performance evaluation of multistage rockets. The technique at hand is based on three steps: (i) the flight-path angle at each stage separation is guessed, (ii) the spacecraft velocity is maximized at the first and second stage separation, and (iii) for the last stage the thrust direction is obtained through the particle swarm optimization technique, in conjunction with the use of the Euler–Lagrange equations and the Pontryagin minimum principle. The coast duration at the second stage separation is optimized as well. The method at hand is extremely simple and easy-to-implement, but nevertheless it proves to be capable of yielding near-optimal ascending trajectories for a multistage launch vehicle with realistic structural, propulsive, and aerodynamic characteristics. The solutions found with the technique under consideration can be employed either for a rapid evaluation of the multistage rocket performance or as guesses for more refined optimization algorithms.     

Optimal nodal flyby with near-Earth asteroids using electric sail

The aim of this paper is to quantify the performance of an Electric Solar Wind Sail for accomplishing flyby missions toward one of the two orbital nodes of a near-Earth asteroid. Assuming a simplified, two-dimensional mission scenario, a preliminary mission analysis has been conducted involving the whole known population of those asteroids at the beginning of the 2013 year. The analysis of each mission scenario has been performed within an optimal framework, by calculating the minimum-time trajectory required to reach each orbital node of the target asteroid. A considerable amount of simulation data have been collected, using the spacecraft characteristic acceleration as a parameter to quantify the Electric Solar Wind Sail propulsive performance. The minimum time trajectory exhibits a different structure, which may or may not include a solar wind assist maneuver, depending both on the Sun-node distance and the value of the spacecraft characteristic acceleration. Simulations show that over 60% of near-Earth asteroids can be reached with a total mission time less than 100 days, whereas the entire population can be reached in less than 10 months with a spacecraft characteristic acceleration of 1 mm/s².     

Atmosphere sounding by GPS radio occultation: First results from TanDEM-X and comparison with TerraSAR-X

On 21 June 2010 the TerraSAR-X satellite was joined by the TanDEM-X satellite. A Global Positioning System (GPS) radio occultation (RO) experiment using the twin satellites has been carried out to estimate the precision of GPS atmospheric soundings. For the Day Of Year (DOY) 330–336, 2011, we analyze phase and amplitude data recorded by GPS receivers separated by a few hundred meters in a low earth orbit and derive collocated atmospheric refractivity profiles. In the altitude range 10–20 km the standard deviation between TerraSAR-X and TanDEM-X refractivity does not exceed 0.15%. The standard deviation is rapidly increasing for lower and higher altitudes; close to the surface and at an altitude of 30 km the standard deviation reaches 0.8% and 0.5%, respectively. Systematic deviations between TerraSAR-X and TanDEM-X refractivity in the considered altitude range (0–30 km) are negligible. The results confirm the anticipated high precision of the GPS RO technique. However, the difference in the retrieved refractivity in the lower troposphere for different Open Loop (OL) signal tracking parameters, altered onboard TanDEM-X for DOY 49–55, 2012, calls for an in depth analysis. At the moment we can not exclude that a potential bias in the OL Doppler model introduces a bias in our retrieved refractivity at altitudes <8$<8$ km.     

基于伪相关函数的BOC无模糊跟踪性能分析

BOC(Binary-Offset-Carrier)调制广泛应用于全球导航卫星系统中,但由于BOC自相关函数的多峰导致传统码跟踪环路存在模糊性。伪相关函数(Pseudo Correlation Function, PCF)方法在本地采用两个特殊的参考信号和非线性处理以获得无模糊的相关函数。根据一种PCF方法本地参考波形设计的充分条件,推导了其无模糊函数的数学形式,并着重分析了其跟踪和抗多径性能与本地参考波形的关系。仿真结果表明：该PCF方法解决了跟踪模糊问题,且随着参考信号的宽度因子增加,其跟踪精度逐步改善;该PCF方法对于中长延迟多径干扰抑制能力较好,宽度因子为0.5或1时,其多径误差最小。     

基于无奇异变换的卫星广播星历拟合算法

针对导航卫星轨道偏心率近似为0,致使卫星轨道的近地点角距定义模糊,在数据拟合过程中会导致法矩阵（H^TH）奇异的问题,本文提出基于无奇异变换的广播星历参数拟合算法,引入无奇异轨道根数代替经典开普勒根数,推导了空间目标位置矢量对基于无奇异轨道根数的广播星历参数偏导数矩阵,利用变换后的观测方程迭代拟合得到改进广播星历参数,再将结果归一化到基于开普勒根数的广播星历参数。最后利用仿真算例验证了所推公式和算法的合理性。