Determination des orbites des satellites artificiels

Summary The problem of the determination of the orbit of a celestial body is an old astronomical problem, of which solutions can be found in many classical books on elementary celestial mechanics. However, the introduction of new (radioelectric) means of observations for the artificial satellites have brought up new solutions of this old problem.The author reminds the definitions of the six elliptic elements of an orbit. The problem of their determination is usually divided into two separate steps: a preliminary orbit determination and the improvement of the preliminary elements. Two principal types of preliminary orbit determination exist: the Gaussian type, purely geometrical in which the positions of the body at two different times are determined, and the Laplacian type, of a more dynamical character, in which both position and velocity vectors are found for a given time. The improvement of the preliminary elements is usually obtained by a numerical solution of equations of variations of the elements, minimizing the sum of the squares of the angular distances between the computed and the observed points. The elements on which these variations are applied can be quite various. The coefficients of the equations are usually obtained numerically, although their analytical expressions can also be derived.Most of the modification proposed to the classical methods of orbit determination are more technical improvements in connection with the computation on electronic machines. The most interesting modifications are inspired by the fact that time measurements are less precise than the position (Batrakov, Iszak), the effects of this difference in errors are discussed in this paper. In some cases, using Laplace's method, no preliminary orbit is computed, and all the observations can be used at once (Barlier, Kovalevsky).The determination of orbits from radar measurements is discussed. The proposed methods are quite different in principle from the classical ones. They are actually improvements of a circular orbit whose determination is made by a method of undetermined coefficients (Baker). Some of the elements determined by these methods are quite unstable, and it is always wiser to use other informations together with radar measurements.The determination of orbits from Doppler data alone has been worked out by many investigators. It is the inverse problem of the main problem of all navigational systems. The method proposed by Patton is summarized. The principles of others are quite analogous. The results are improved when more than one receiver are used. The different types of corrections: refraction, perturbations, etc., should be introduced in later stages of the determination, and the whole frequency curve is to be used if a good determination of all elements is desired.Finally, the author quotes a method (Baker) using both Doppler and radar data, and the solution of a new problem: the determination of the orbit of a satellite of another planet from Doppler data alone (Deutsch).     

一种有效提高超大偏心率轨道初轨确定精度的新方法

针对某型号航天器的运行轨道偏心率大、轨控结束后可用于初轨确定的测轨数据少的特点,提出了一种能有效提高超大偏心率短弧段初轨确定精度的新方法。该新方法将轨道改进的思想融入初轨计算方法中,使之既适用于各种偏心率轨道的初轨计算,也适用于各种偏心率轨道的长弧段、多圈、多站数据的轨道改进;解决了传统初轨确定方法超大偏心率轨道短弧段初轨确定误差偏大的问题。通过任务实测数据的检验,新方法适用于各种偏心率轨道,并且超大偏心率轨道的初轨确定精度明显优于传统方法。     

关于初轨计算

初轨计算通常是指在二体问题意义下的短弧定轨,为了适应测量精度的提高和深空探测(包括月球探测)轨道器所涉及力学模型的需要,给出一种在测角资料背景下,同时适用于无摄和受摄运动的初轨计算方法。而且,该方法不仅适用于椭圆轨道,亦适用于双曲线轨道,拓宽初轨计算的传统范畴。     

卫星定轨综述

对卫星定轨中的热点问题作一综述,内容包括短弧定轨和长弧精密定轨。对于短弧定轨(通常指初轨),不仅从原理上分析其关键之处,还介绍如何将适用于无摄运动的特殊定轨方法推广用于同时考虑各种摄动的受摄运动,并可同时适用于圆锥曲线的各种情况：变化的椭圆轨道、抛物线轨道和双曲线轨道,后者在深空探测器的运动过程中将会遇到。对于长弧精密定轨,阐述当今提高精密定轨精度的力模型补偿问题以及几何定轨的提法,天地基网联合定轨和星-星相对测量的自主定轨问题。     

卫星轨道变化规律的综合分析

对于航天工程而言,无论是航天器的发射,卫星轨道设计,地面测控系统的跟踪、定轨和预报．还是卫星在轨运行过程中的轨道控制策略等,均需了解卫星轨道变化的规律。为此,本文对人造卫星(包括中心天体为快自转天体和慢自转天体两种引力源的绕飞轨道器)的轨道变化特征以及轨道寿命进行系统的综合分析。为各种应用提供简明信息。     

轨道测量差分精确定轨方法

航天器轨道精确测定重要环节之一是有效地消除观测系统误差,在轨道测量数据处理时,一类是利用轨道约束自校准技术来估算和校准系统误差,另一类可以应用测元差分方法来消除系统误差(例如导航卫星测定目标)。本文提出一种新的差分技术,即利用观测数据时序差分消除系统误差技术,并推导相应确定航天器轨道的公式。     

基于连续同伦算法的天基仅测角初定轨方法

要进一步提高天基短弧初定轨的精度,在观测资料精度较高的情况下,仅考虑二体问题是不够的,还应考虑轨道摄动的影响。因此,基于无摄初轨的单位矢量法原理和矢量斜分解方法,给出了考虑摄动的天基仅测角初定轨单位矢量法。针对天基仅测角观测条件方程组求解过程中易出现迭代不收敛或收敛到平凡解的问题,引入连续同伦算法求解观测条件方程组,提出了单星观测方式下的空间目标天基仅测角初定轨方法,并通过数值仿真算例验证了该算法在较大范围的收敛性和数值稳定性。     

地月系统循环轨道初步设计与特性分析

基于平面圆型限制性三体问题(CR3BP)模型,根据轨道弧以及顺行和逆行特征采用圆锥曲线拼接法设计了5类地月系统周期轨道。以地月系统循环轨道的工程约束为出发点,从轨道周期、近地点高度、近月点高度、交会对接速度、轨道稳定性等方面分析了这5类周期轨道的特性,从中选择了适合地月系统循环轨道任务方案的周期轨道,并对周期轨道进行了优化。该研究为我国未来载人登月工程提供了一种新的思路与理论技术支持。     

嫦娥二号再拓展试验测定轨精度研究

基于＂嫦娥二号＂卫星再拓展试验的设计轨道,研究各种摄动力对轨道确定精度的影响,得出的结论是：若要达到km量级的轨道确定精度,必须考虑除天王星和海王星之外所有大行星以及日月的质点引力。文章进一步利用数值分析法研究再拓展任务的轨道确定精度,分析结果表明：基于目前的测控条件,使用30 d以上的测轨弧段可以得到稳定可靠的轨道解,而短弧（小于20 d）稳定轨道的获取需要VLBI（甚长基线干涉）测轨数据支持;当＂嫦娥二号＂距离地球700万km时,测控精度可优于30 km;虽然每天测轨弧段的增加可以改善轨道精度,但是当增加到8 h以上时,定轨精度将不再有明显改善。     

Consequences of hydromagnetic waves on magnetospheric particle dynamics

Since long ULF waves are known to play a dominant role in the dynamics of energetic protons. Recent observations have shown that they also contribute to the heating and/or acceleration of both heavy ions and electrons. This review will deal with all the aspects of wave particle interactions that involve electromagnetic ULF waves in the equatorial region of the magnetosphere. We will consider successively Pc-3-4-5 pulsations, magnetosonic waves and ion cyclotron waves. In the latter case, for which both the experimental data and the theoretical interpretation are more advanced, we will discuss the linear, quasi-linear and nonlinear aspects of the interaction. Results of recent numerical simulations of this type of interaction will also be reported. A final section will be devoted to ULF waves observed in the vicinity of the Io torus.     

Infrared astronomy

This review paper is a survey of infrared astronomy up to early 1969. The techniques and photometric standards are mentioned briefly, and results cover solar, lunar, and planetary observations. Point sources and extended sources both within and beyond the Galaxy are included, ending with the problem of cosmic background radiation. It is concluded that great progress will be possible when large infrared telescopes are placed above the atmosphere in orbit for extended periods of time.This work was conducted under the McDonnell Douglas Corporation Independent Research and Development Program.     

USB与VLBI联合确定“探测一号”卫星轨道

我国绕月探测工程“嫦娥一号”卫星将以统一S波段(USB)为主,辅以甚长基线干涉仪(VLB I)测轨分系统来完成测控任务。由于“探测一号”卫星轨道与“嫦娥一号”调相轨道段相似,有关单位于2005年3月17日—20日进行了USB和VLB I联合跟踪“探测一号”试验。通过对联合测轨数据的处理,研究了USB—VLB I联合定轨方法,分析了联合定轨和预报精度,得出了一些结论。     

Satellite mobile communication and radio positioning systemplanning aspects

System aspects of mobile communication and position determination by satellite are described. Topics of discussion are the choice of frequency, type of modulation/multiple access and system design, and considering the effects of active and passive intermodulation and multipath interference. Communication performance and position determination analyses are conducted with respect to small-scale domestic mobile communication systems, where the satellite mobile transponder constitutes only a fraction of the otherwise fixed services C-band or Ku-band payload, and where the orbit position of the spare satellite(s) is dictated by considerations other than purely radio positioning. The system tradeoffs and arguments presented lead to a particular modulation/multiple access system, which provides high channel capacity, good ranging accuracy, and high resistance to multipath fading     

双星定位系统及其备份星在近地卫星联合定轨建模中的应用

建立了基于双星定位系统距离和观测数据的近地卫星联合定轨模型,设计了相应的数值融合联合定轨算法;为进一步提高近地卫星定轨精度,考虑融合双星及备份星距离和观测数据,建立了基于双星和备份星的近地卫星联合定轨模型及实现算法,并针对不同仿真条件进行了联合定轨仿真实验。仿真计算结果表明,联合定轨方式较传统近地卫星精密定轨方式可以更好地抑制双星星历误差对近地卫星定轨精度的影响,近地卫星和双星的定轨精度均得到了一定程度的提高;同时,融合备份星观测数据的近地卫星联合定轨精度得到进一步改善,达到5.17m。     

太阳同步卫星轨道参数的容许偏差分析

飞行任务对卫星轨道提出指标要求，这些指标决定了卫星轨道参数的容许偏差范围。结合太阳同步(准)回归轨道卫星的轨道特性，针对覆盖重叠率、太阳同步等指标，使用解析方法讨论了大气阻力摄动影响下轨道参数的容许偏差，通过分析可以初步确定轨道控制策略及能量需求，最终为轨道保持方法的设计提供参考和依据。     

星载GPS测量数据预处理方法研究

针对低地球轨道(LEO)卫星星载全球定位系统(GPS)接收机应用的特点,对星载GPS测量数据误差及其对周跳探测的影响进行了分析,提出TurboEdit数据预处理方法中周跳探测算法的改进算法。在原周跳判断算法的基础上,通过引入与测量数据观测高度角相关的加权系数,将周跳探测与测量误差紧密联系起来。根据观测高度角的变化对测量数据误差进行估计,并根据估计情况对加权系数取值,从而实现对周跳探测算法进行调节,达到降低周跳探测失误率的目的。增加参与定轨计算的观测数据量,提高了低轨卫星连续定轨的能力。通过GRACE编队卫星实测数据对改进算法进行了仿真验证。     

Spacecraft orbit determination using GPS navigation solutions

The orbit determination using the GPS navigation solutions for the KOMPSAT-1 spacecraft has been studied. The Cowell method of special perturbation theories was employed to develop a precision orbit propagation, and the perturbations due to geopotential, the gravity of the Sun and the Moon, solid Earth tides, ocean tides, the Earth's dynamic polar motion, solar radiation pressure, and atmospheric drag were modeled. Specifically, the satellite box-wing macro model was applied to minimize the drag errors at low altitude. The estimation scheme consisted of an extended Kalman filter and Bayesian least square method. To investigate the applicability of the method to the KOMPSAT-1 spacecraft, the orbit determination was accomplished using the GPS navigation solutions for the TOPEX/POSEIDON and TAOS satellites. The orbit determination results were compared with NASA POE generated by global laser tracking. The position and velocity accuracy was estimated about 16∼7 m and 0.0157∼0.0074 m·s⁻¹ RMS, respectively, for the two satellites in the presence of SA. These results verify that an orbit determination scheme using GPS navigation solutions can provide the static orbit information and reduce conspicuously the position and velocity errors of navigation solutions. It can be suggested that the sequential and batch orbit determination using the GPS navigation solutions be the most appropriate method in the KOMPSAT-1 type mission.     

天基低轨空间监视雷达密集短弧观测数据的定轨应用研究

当天基雷达采用多波束扫描时,每次与空间目标交会可获取类似跟踪的观测数据。本文讨论了这些密集短弧观测数据在目标轨道改进中的应用。在没有测量时,采用矩阵Ricatti方程计算状态误差;引入观测数据时,比较了EKF和UKF两种滤波算法的轨道改进效果。仿真表明,UKF的收敛速度优于EKF;天基短弧观测数据可以很好地抑制误差发散,满足监视任务需求。     

大气密度模型用于近地卫星定轨预报的比较

大气阻力是低轨卫星主要的摄动力,与高层大气密度的变化密切相关。由于目前对高层大气密度变化的机制尚未完全掌握,所使用的各种大气密度模型多属于半经验公式。在这些模型中并没有一种在任何情况下都是最好的,因此,对于特定轨道选择合适的大气密度模型对提高定轨预报的精度是非常重要的。通过对资源2号卫星实测GPS数据的分析计算,比较了常用的8种大气密度模型的定轨预报精度,探讨了预报24h应采用的定轨数据长度和大气密度模型。     

低轨卫星对高轨卫星仅测角初轨计算方法

针对我国地面测站对高轨卫星监视能力缺乏的问题,提出一种低轨卫星对高轨卫星仅测角初轨计算方法。该算法引入天基跟踪坐标系,消除测距信息影响,建立仅测角观测方程;引入法向运动,增加摄动因素影响,建立扩展拉普拉斯动力学模型;推导分析观测模型和动力学模型的关系方程,将初轨计算问题转换为非线性方程求解问题,利用高斯全主元消去法完成方程求解。通过实战和仿真测角数据对方法进行检验,结果表明,该方法能利用仅测角数据对非合作目标进行初轨确定,精度在公里量级,可为我国地基监视系统提供补充参考。