基于微分几何纤维缠绕回转壳封头的厚度计算

应用微分几何理论,建立了纤维复合材料在回转壳封头上稳定缠绕的数学模型,推导出了缠绕角、中心角与轴向坐标之间的微分方程。结合缠绕轨迹在封头上叠带的几何关系,给出了厚度的计算方法。算例表明该计算方法反映了纤维缠绕回转壳封头上厚度的分布规律,可直接应用于结构的初步设计。     

空间飞行器在视线坐标系中的追逃界栅

针对近地共面圆轨道上的两飞行器追逃问题,应用定性微分对策理论,在双方均为连续小推力假设下,研究了在视线坐标系下对策双方在中立结局上的最优控制策略及中立结局的非线性界栅构造及线性界栅的求解方法。在线性化方法中,首先针对方程中的状态变量作线性化,待最优推力确定后,再对推力变量在确定的终端附近线性化。本文理论推导最终得到了最优推力及线性化界栅表达式,给出线性化界栅与非线性数值逼近解的仿真结果。     

空间对接机构差动式缓冲阻尼及传动系统力学特性研究

空间对接机构差动式缓冲阻尼及传动系统的模化是航天器对接动力学中的核心内容之一,本文在分析该系统运动学原理的基础上研究系统的动力学特性,给出了精确的动力学模型,进行对接动力学仿真研究。      

数字卫星电视授时方法及其研究进展

为丰富和完善国家时间频率体系建设,提高现有定位导航与授时(PNT)体系的服务能力,中国科学院国家授时中心开展了基于数字卫星电视信号的授时方法研究,并搭建了一套数字卫星电视授时系统,实际测试结果表明其定时精度优于50ns(均方根).首先综述了数字卫星电视授时方法中的理论框架及其若干关键技术问题,然后介绍了在提高授时精度方...     

空间机器人抓捕碰撞分析与轨迹规划镇定控制

针对空间机器人抓捕目标过程中产生的碰撞冲击问题,分析了抓捕瞬态碰撞对机器人系统产生的影响,提出了一种控制力矩能量消耗少、对卫星平台基座扰动小的镇定控制方法,实现了对抓捕目标后组合体系统的镇定控制。首先,利用Kane方法建立了抓捕后的目标-机械臂-卫星平台组合体动力学模型;其次,利用ADAMS软件分析了瞬态碰撞冲击对空间机器人系统的影响,为后续镇定控制策略的设计提供初始仿真参数;采用四次多项式实现了机械臂关节空间轨迹的参数化,设定了基于控制力矩能量与基座扰动的加权目标函数,利用差分进化算法(DE)求解得到满足控制力矩能量消耗小、平台基座扰动少的机械臂关节空间轨迹。最后,利用七自由度空间机器人的数值仿真,验证了所提出方法的有效性。     

Influence of non-equilibrium reactions on the optimization of aerothrust aeroassisted maneuver with orbital change

The spaceplane is perspective vehicle due to wide maneuverability in comparison with a space capsule. Its maneuverability is expressed by the larger flight range and also by a possibility to rotate orbital inclination in the atmosphere by the aerodynamic and thrust forces. Orbital plane atmospheric rotation maneuvers can significantly reduce fuel costs compared to rocket-dynamic non-coplanar maneuver. However, this maneuver occurs at Mach numbers about 25, and such velocities lead to non-equilibrium chemical reactions in the shock wave. Such reactions change a physicochemical air property, and it affects aerodynamic coefficients. This paper investigates the influence of non-equilibrium reactions on the aerothrust aeroassisted maneuver with orbital change. The approach is to solve an optimization problem using the differential evolution algorithm with a temperature limitation. The spaceplane aerodynamic coefficients are determined by the numerical solution of the Reynolds-averaged Navier-Stokes equations. The aerodynamic calculations are conducted for the cases of perfect and non-equilibrium gases. A comparison of optimal trajectories, control laws, and fuel costs is made between models of perfect and non-equilibrium gases. The effect of a chemically reacting gas on the finite parameters is also evaluated using control laws obtained for a perfect gas.     

Estimation of differential code biases with Jason-2/3 onboard GPS observations

With the continuous deployment of Low Earth Orbit (LEO) satellites, the estimation of differential code biases (DCBs) based on GNSS observations from LEO has gained increasing attention. Previous studies on LEO-based DCB estimation are usually using the spherical symmetry ionosphere assumption (SSIA), in which a uniform electron density is assumed in a thick shell. In this study, we propose an approach (named the SHLEO method) to simultaneously estimate the satellite and LEO onboard receiver DCBs by modeling the distribution of the global plasmaspheric total electron content (PTEC) above the satellite orbit with a spherical harmonic (SH) function. Compared to the commonly used SSIA method, the SHLEO model improves the GPS satellite DCB estimation accuracy by 13.46% and the stability by 22.34%, respectively. Compared to the GPS satellite DCBs estimated based on the Jason-3-only observations, the accuracy and monthly stability of the satellite DCBs can be improved by 14.42% and 26.8% when both Jason-2 and Jason-3 onboard observations are jointly processed. Compared with the Jason-2 solutions, the GPS satellite DCB estimates based on the fusion of Jason-2 and Jason-3 observations have an improved consistency of better than 18.26% and 9.71% with the products provided by the Center for Orbit Determination in Europe (CODE) and Chinese Academy of Sciences (CAS). Taking the DCB products provided by the German Aerospace Center (DLR) as references, there is no improvement in accuracy of the GPS satellite DCB estimates based on the fusion of Jason-2 and Jason-3 observations than the Jason-2 solutions alone. A periodic variation is found in the time series of both the Jason-3 and Jason-2 onboard receiver DCB estimates. Preliminary analysis of the PTEC distribution based on the estimated SH coefficients are also presented.     

基于目标加速度方向观测的微分对策制导律

针对延迟信息条件下的机动目标拦截问题,研究了一种考虑目标加速度方向观测的微分对策制导律。首先,针对引入目标方向观测信息末制导博弈问题,建立了微分对策数学模型。随后,利用状态依赖黎卡提方程求解微分对策问题,得到包含无延迟目标机动项的微分对策制导律,可以更为有效地拦截机动目标。最后,在延迟信息条件下,利用目标加速度方向观测的方法补偿延迟的目标加速度,再将补偿后的目标加速度信息取代无延迟的目标加速度,得到延迟信息条件下考虑目标加速度方向观测的微分对策制导律。仿真结果表明,新的制导律可以在延迟信息条件下有效地拦截机动目标。     

Tightly combined GPS/Galileo RTK for short and long baselines: Model and performance analysis

To ensure the compatibility and interoperability with modernized GPS, Galileo satellites are capable of broadcasting navigation signals on carrier phase frequencies that overlap with GPS, i.e., GPS/Galileo L1-E1/L5-E5a. Moreover, the GPS/Galileo L2-E5b signals have different frequencies with wavelength differences smaller than 4.2?mm. Such overlapping and narrowly spaced signals between GPS and Galileo bring the opportunity to use the tightly combined double-differenced (DD) model for precise real-time kinematic (RTK) positioning, resulting in improved performance of ambiguity resolution and positioning with respect to the classical standard or loosely combined DD model. In this paper, we focus on the model and performance assessment of tightly combined GPS/Galileo L1-E1/L2-E5b/L5-E5a RTK for short and long baselines. We first investigate the tightly combined GPS/Galileo DD observational model for both short and long baselines with simultaneously considering the GPS/Galileo overlapping and non-overlapping frequencies. Particularly, we introduce a reparameterization approach to solve the rank deficiency that caused by the correlation between the DISB parameters and the DD ionospheric parameters for both overlapping and non-overlapping frequencies. Then we present performance assessment for the tightly combined GPS/Galileo RTK model with real-time estimation of the differential inter-system bias (DISB) parameters for short and long baselines in terms of ratio value, ambiguity dilution of precision (ADOP), ambiguity conditional number, decorrelation number, search count, empirical success rate, time-to-first-fix (TTFF), and positioning accuracy. Results from both static and kinematic experiments demonstrated that compared to the loosely combined model, the tightly combined model can deliver improved performance of ambiguity resolution and precise positioning with different satellite visibility. For the car-driven short baseline experiment with 10° elevation cut-off angle, the tightly combined model can not only significantly increase the ratio value by approximately 27.5% (from 16.0 to 20.4), but also reduce the ambiguity ADOP, the conditional number, and the search count in LAMBDA by approximately 22.2% (from 0.027 to 0.021 cycles), 14.9% (from 199.2 to 169.6), and 25.4% (from 150.1 to 112.0), respectively. Comparable decorrelation number, empirical success rate, and positioning accuracy are also obtained. For the car-driven long baseline experiment, it is also observed that the ambiguity resolution performance in terms of the ratio value, the decorrelation number, the condition number, and the search count are significantly improved by approximately 18.5% (from 2.7 to 3.2), 22.0% (from 0.186 to 0.227), 55.9% (from 937.6 to 413.7), and 10.3% (from 43.8 to 39.3), respectively. Moreover, comparable ADOP, empirical success rate, and positioning accuracy are obtained as well. Additionally, the TTFF can be reduced (from 54.1 to 51.8 epochs with 10° elevation cut-off angle) as well from the results of static experiments.     

Numerical techniques for generating and refining solar sail trajectories

Like all applications in trajectory design, the design of solar sail trajectories requires a transition from analytical models to numerically generated realizations of an orbit. In astrodynamics, three numerical strategies are often employed. Differential correctors (also known as shooting methods) are perhaps the most common techniques. Finite-difference methods and collocation schemes are also employed and are successful in generating trajectories with pseudo-continuous control histories. These three numerical techniques are employed here to generate periodic trajectories displaced below the Moon in a circular restricted three-body system. All these approaches reveal trajectory options within the design space for solar sail applications.