Approximate analysis for relative motion of satellite formation flying in elliptical orbits     

Fanghua Jiang  Junfeng Li  Hexi Baoyin 《Celestial Mechanics and Dynamical Astronomy》2007,98(1):31-66

This paper studies the relative motion of satellite formation flying in arbitrary elliptical orbits with no perturbation. The trajectories of the leader and follower satellites are projected onto the celestial sphere. These two projections and celestial equator intersect each other to form a spherical triangle, in which the vertex angles and arc-distances are used to describe the relative motion equations. This method is entitled the reference orbital element approach. Here the dimensionless distance is defined as the ratio of the maximal distance between the leader and follower satellites to the semi-major axis of the leader satellite. In close formations, this dimensionless distance, as well as some vertex angles and arc-distances of this spherical triangle, and the orbital element differences are small quantities. A series of order-of-magnitude analyses about these quantities are conducted. Consequently, the relative motion equations are approximated by expansions truncated to the second order, i.e. square of the dimensionless distance. In order to study the problem of periodicity of relative motion, the semi-major axis of the follower is expanded as Taylor series around that of the leader, by regarding relative position and velocity as small quantities. Using this expansion, it is proved that the periodicity condition derived from Lawden’s equations is equivalent to the condition that the Taylor series of order one is zero. The first-order relative motion equations, simplified from the second-order ones, possess the same forms as the periodic solutions of Lawden’s equations. It is presented that the latter are further first-order approximations to the former; and moreover, compared with the latter more suitable to research spacecraft rendezvous and docking, the former are more suitable to research relative orbit configurations. The first-order relative motion equations are expanded as trigonometric series with eccentric anomaly as the angle variable. Except the terms of order one, the trigonometric series’ amplitudes are geometric series, and corresponding phases are constant both in the radial and in-track directions. When the trajectory of the in-plane relative motion is similar to an ellipse, a method to seek this ellipse is presented. The advantage of this method is shown by an example.  相似文献   

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马开锋  彭碧波  洪樱 《大地测量与地球动力学》2007,27(1):85-90

???????????????仯????????????????GPS??????????????????????????????????????????????????????????????????????λ?ü????????????????????????????????????GPS??????15????????????25????????????????????????????????????25??????????????????????????????  相似文献   

On the motion around the centre of mass of a viscously elastic sphere in the restricted elliptic three-body problem     

V. G. Demin  Y. G. Markov  I. S. Minyaev 《Celestial Mechanics and Dynamical Astronomy》1990,50(3):231-249

In the restricted three-body problem we consider the motion of a viscously elastic sphere (planet) with its centre of mass moving in a conditionally-periodic orbit. The approximate equations describing the rotational motion of the sphere in terms of the Andoyer variables are obtained by the method of the separation of motion and averaging; the evolution of the motion is also analysed.  相似文献   

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程义军  程广义  刘威 《大地测量与地球动力学》2015,35(1):97-99

??????????λ???PANDA?????????纣????????2009??2011??2013??????3??GNSS?????????д????????????ITRF2008?μ???????????????з??????ó?????????????????仯????E???????32.16 mm/a????N???????-10.08 mm/a?????????????????????λ?????????????????????μ?????????  相似文献   

BDS-3新频点单点定位研究   总被引：2，自引：0，他引：2  

慕仁海  党亚民  许长辉 《测绘通报》2021,(3):12-17

针对目前有关北斗卫星导航系统（BDS-3）中MEO卫星（BDS-3M）增加的B1C、B2a新频点单点定位研究较少的现状,本文开展了基于新频点B1C、B2a的双频单点定位试验,结合国际GNSS监测评估系统（iGMAS）5个跟踪站连续10 d的数据,对BDS-3的新频点进行数据质量分析、双频伪距单点定位（SPP）和双频静态精密单点定位（PPP）研究,并与GPS的L1、L2频点和BDS-3的B1I、B3I频点进行对比。试验结果表明：在伪距单点定位方面,BDS-3新信号在E、N、U 3方向的精度分别优于10、12、11 m,低于GPS的L1、L2双频伪距单点定位和BDS-3的旧频点双频伪距单点定位精度;在精密单点定位方面,BDS-3新频点在收敛速度方面略低于GPS的收敛速度,BDS-3新信号在E、N、U 3方向都能达到分米级精度。  相似文献   

北斗混合星座分层约束下的精密定轨方法     

房亚男  朱俊  李杰  王冲  王家松  张少愚 《测绘学报》2021,50(4):466-474

针对北斗导航卫星系统首创的GEO+IGSO+MEO混合星座设计,本文研究了根据不同星座,采取不同约束条件和数据处理策略的北斗卫星精密定轨方法,提出了一种针对北斗系统混合星座的分层约束精密定轨方案。该方案首先将北斗卫星分为非GEO(IGSO/MEO)和GEO两部分进行解算,利用GPS解算的公共参数对北斗IGSO/MEO精密定轨形成有效约束,然后固定GPS和北斗IGSO/MEO解算结果,最后单独对北斗GEO卫星进行强约束下的轨道解算。利用实测数据进行了精密定轨试验,试验结果表明:采用本文提出的方法,北斗GEO卫星和非GEO卫星三维重叠弧段轨道精度分别为0.688 m和0.042 m,比传统方法分别提高了54.2%和72.4%。另外,采用激光测距检核和测站坐标静态精密单点定位的方法对轨道精度进行了验证,激光检核精度提高了44.3%,测站坐标在水平和高程方向上精度分别平均提升了21.5%和20.7%。  相似文献   

新太阳光压模型在GNSS定轨中的应用     

常春涛  慕仁海  程鹏飞  成英燕 《测绘科学》2021,46(2):78-84

太阳光压摄动是影响卫星定轨中重要的误差源,在GNSS导航卫星精密定轨过程中使用最为广泛的光压模型为ECOM模型。为了探究几种ECOM模型及其适用性,该文以超快速星历为起算轨道,分析对比经典ECOM-1模型与最新13参数ECOMC模型对GPS/BDS卫星轨道的影响。结果显示:相较于ECOM-1模型,ECOMC模型在GPS定轨中精度有所提升,特别体现在径向精度提升,单天与三天弧段在径向的解算精度分别提升了12.73%和24.74%;在BDS定轨中,采用ECOMC模型,部分GEO卫星在径向方向单天精度有12.38%的提升,而对于IGSO与MEO卫星二者精度差异不大;分析可得,由于星体结构不对称引起卫星在沿太阳-卫星方向作用的偶数阶短周期谐波扰动,引入卫星-太阳方向偶数阶项的参数估计可提升卫星径向精度。  相似文献   

三维点云在轨道板快速检测中的应用     

李圆  陈霄  秦飞  包建强  张献州  黄雨微 《测绘科学》2021,46(1):141-148

针对现有的CRTSⅢ型轨道板检测方法效率低下、设备组装复杂、部分还需人工操作等不足,基于三维点云数据实现了轨道板外形尺寸的高精度快速检测。利用轨道板标准三维模型建立相关检测特征,在完成轨道板三维点云数据相关预处理后,将点云数据精确配准至标准三维模型,利用模型上已建立的特征拟合计算轨道板表面点云数据的检测特征,获得轨道板各检测指标的测量值;计算测量值与标准三维模型设计尺寸之间的偏差,从而实现轨道板外形尺寸的快速检测。实验表明,与常规的检测手段相比,该方法具有检测精度高、速度快、检测结果稳定可靠、检测项目齐全等优点,具有良好的应用前景。  相似文献   

基于坐标转换的高铁平面精测网复测稳定性分析方法探讨     

杨雪峰  刘成龙  何勇 《测绘与空间地理信息》2021,44(4):35-37,40

首先介绍了现有各级平面精测网复测稳定性分析的常规方法,然后结合GRP网中判别CPⅢ点稳定性的方法,尝试使用三参数坐标转换进行高铁平面精测网复测稳定性分析,最后以某高铁CPI控制网实测数据为例进行分析。结果表明,不能完全使用三参数坐标转换代替常规方法进行精测网的稳定性分析,但可在使用坐标转换后的点位残差进行稳定性评价时,结合常规法进行综合分析,可提高常规法分析判别效率。  相似文献   

基于CEI的飞船交会对接远程导引段的轨道确定方案     

李晓杰  杜兰  黄金 《天文研究与技术》2011,8(1)

探讨了CEI技术在飞船交会对接远程导引段的高精度定轨与实时监控的能力。仿真结果表明:精密定轨中采用可视弧段较长的单站可使相对位置精度达百米以内,速度达厘米/秒级。采用单一绝对扩展卡尔曼滤波器的方案进行实时轨道计算,采用滤波稳定后固定模糊度的方法可以使相对轨道位置精度达十米级,速度精度达厘米/秒级,事后及实时的轨道精度均满足远程导引段的精度指标。  相似文献