Estimation of accuracy of close encounter performed by the bootstrap method

Ephemerides of the Solar System’s objects are calculated using dynamical models fitted to observations. The accuracy of these ephemerides can be estimated using statistical methods. The methods consist in constructing a set of possible orbits, based on observations. One of these methods, the bootstrap method of repeated sampling, has many advantages: minimal assumptions about distributions of observational errors, easy implementation, etc.     

GNSS服务空域空间信号可用性比较与分析

通过基本参数对全球卫星导航系统（GPS、GLONASS、Galileo和北斗）空间信号可用性影响实验,得出四系统的A knee 值分别为3800km、1100km、3800km和1000km,对应的平均可见卫星数为25、16、22和14/22（亚太地区、MEO星座/混合星座）。分析了三种典型轨道用户的卫星可见性,北斗和GLONASS对MEO和HEO用户的空间信号可用性能较GPS和Galileo稍差,而在LEO用户的应用中,北斗空间信号可用性能却表现最优,平均可见卫星数约为20颗,可用性时间分布比较均匀。最后对GNSS空间有效持续时间段进行统计,随着用户高度的增加,有效持续时间段数增多、总有效持续时间减少;四系统提供全弧段有效服务空间分别为地面至6100km、1600km、6100km和1700km。     

一类适用于各种轨道类型的导航卫星广播星历研究

导航卫星广播星历是卫星导航定位的基础,要求有较高的精度和实时性。GPS和GLONASS广播星历形式适合于某一类卫星轨道,但存在一定局限性。利用切比雪夫多项式拟合导航卫星轨道,拟合系数作为广播星历的参数发布,这是一种新的广播星历形式,可作为各种轨道类型的导航卫星的广播星历参数,而且具有精度高、计算速度快等特点。     

Optimization of the Flight of a Spacecraft with a Solar Sail from the Earth to Mars with a Perturbation Maneuver near Venus

The trajectories of the fastest flight of a spacecraft (SC) with a solar sail from the Earth's sphere of activity to the Martian sphere of activity including the section of a perturbation maneuver near Venus are investigated. The planetary spheres of activity are assumed to be point-like; i.e., the maneuver section and the initial and final positions of the SC coincide with the corresponding positions of the planets. The initial velocity of the SC is assumed to be equal to the Earth's velocity, so that no leveling of the velocities of the SC and Mars in the final point of the flight is required. The perturbation maneuver is considered as a jump of the heliocentric velocity of the SC at the point of its contact with Venus, which does not change the magnitude of its Venus-centric velocity. The orbits of planets are assumed to be circular and coplanar; the SC trajectory lies at the plane of these orbits. The sail is planar with a specularly reflecting surface. The trajectories of optimum flights are determined as a result of solving the boundary value problem of the Pontryagin maximum principle. The families of solutions to this problem depending on the initial angular positions of Venus and Mars are constructed by the method of continuation over a parameter.     

Post-disposal orbital evolution of satellites and upper stages used by the GPS and GLONASS navigation constellations: The long-term impact on the Medium Earth Orbit environment

The long-term evolution and environmental impact in MEO of all the abandoned spacecraft and upper stages associated with the GPS and GLONASS navigation constellations were analyzed. The orbits of the disposed objects, as of 1 May 2011, were propagated for 200 years and snapshots of their evolving distribution were obtained, together with an estimation of the changing collision probability with the spacecraft of the operational navigation systems existing or planned in MEO, i.e., GLONASS, GPS, Beidou and Galileo. The probability that the abandoned objects considered will collide with the operational spacecraft of the navigation constellations is very low, even taking into account the intrinsic eccentricity instability of the disposal orbits. Assuming the present or envisaged configuration of the constellations in MEO, the probability of collision, integrated over 200 years, would be <1/300 with a GLONASS spacecraft, <1/15,000 with a GPS or Beidou spacecraft, and <1/250,000 with a Galileo spacecraft. The worst disposal strategy consists in abandoning satellites and upper stages close to the altitude of the operational constellation (GLONASS), while a re-orbiting a few hundred km away (GPS) is able to guarantee an effective long-term dilution of the collision risk, irrespective of the eccentricity instability due to geopotential and luni-solar perturbations. The disposal strategies applied so far to the GPS satellites should be able to guarantee for at least a few centuries a sustainable MEO environment free of collisions among intact objects. Consequently, there would be no need to adopt disposal schemes targeting also the optimal value of the eccentricity vector. However, it should be pointed out that the GPS disposal strategy was devised well in advance of the Beidou constellation announcement, so most of the abandoned satellites were re-orbited fairly close to the altitude of the new Chinese system. A new re-orbiting approach will be therefore needed in the future.     

Design of satellite constellations with continuous coverage on elliptic orbits of <Emphasis Type="Italic">Molniya</Emphasis> type

New methods of choosing the structures of satellite constellations (SC) on elliptical orbits of the Molniya type are presented. The methods, using critical inclination and putting the orbit apogee in the Earth’s hemisphere with an area of continuous coverage, are based on geometrical analysis of two-dimensional representation of the coverage conditions and SC motion in the space of inertial longitude of the orbit ascending node and time. The coverage conditions are represented in the form of a certain region. Dynamics of all satellites in this space is represented by uniform motion along a straight line approximately parallel to the ordinate axis, while the satellite system forms a grid. The problem of choosing a minimal (as far as the number of satellites is concerned) SC configuration can be formulated as a search for the most sparse grid. The contemporary advanced methods of computational geometry serve as an algorithmic basis for the problem solution. Design of SC for continuous coverage of latitude belts with the use of kinematically regular systems is considered. A method of analyzing single-track systems for continuous coverage of arbitrary geographic regions is described, which makes a region at any time instant observable by at least one satellite of the system. As an example, SC on elliptical orbits are considered with periods of ～4, 12, and 24 hours.     

国外卫星导航定位技术发展现状与趋势

本报告对目前国外三大卫星导航定位系统GPS ,GLONASS和伽利略系统的技术性能进行了对比研究 ,分析了卫星导航定位技术的未来发展趋势 ,对我国发展卫星导航定位系统提出了建议。     

Material performance under combined stresses in the hard space environment of the sunprobe helios-a

The Sun mission of the German-US-sunprobe HELIOS-A, the first man-made satellite which approaches the Sun as close as 0.3 AU, covers now more than half a sun-cycle.Therefore the long term behaviour of surface materials which usually are applied on spacecraft as aluminized Teflon, Second-Surface-Mirrors (SSM) made from fused silica and Solar Cells (SC), under extreme stresses and combined loads, shall be evaluated.Based upon the temperature readings of the house-keeping data from HELIOS, a semi-quantitative relationship between the different loads (e.g. radiation, solar wind) and the spacecraft response was established using the results of the first four orbits.From these temperatures, α(t, T)-values were calculated. The related changes of the absorptance values are interpreted in terms of degradation and contamination of the surface materials concerned. Here, not only physico-chemical considerations and models but also the results from thorough ground tests are used to describe the experienced effects by a semi-theoretical function.Taking the derived α(t, T)-values, temperatures are calculated and a long term prediction for 20 orbits is made. The predicted temperature values are compared with the housekeeping data of 15 orbits, i.e. until 1982; the deviations are explained and the validity of the chosen model discussed.     

基于全球网和区域网SLR数据的低轨卫星定轨精度分析

卫星激光测距(SLR)是目前低轨卫星常用的定轨手段之一.文章以贾森-1(Jason-1)和"环境卫星"(EN VISAT)实测数据为例,讨论了不同弧段长度(1天、3天和7天)的全球网SLR数据对低轨卫星定轨精度的影响,分析了基于美国网、欧洲网和亚洲网等区域网SLR数据的低轨卫星精密定轨精度.检验定轨精度的参考轨道来自美...     

Construction of theories of motion, ephemerides, and databases for natural satellites of planets

A knowledge base for natural satellites of planets is created. On the basis of observations, new numerical models of motion are constructed for all 96 outer satellites of Jupiter, Saturn, Uranus, and Neptune. A special database is compiled from all available observational data for natural satellites of planets, as well as a bibliographical database and information system of physical and orbital parameters of planets and satellites. The tools for calculations of ephemerides of all natural satellites (except for the Moon) of planets are developed. They represent the final result of studies and actually incorporate the entire knowledge about dynamics of the satellites of planets. Also developed are special ephemerides in order to observe singular phenomena in the apparent motion of the satellites of planets. A computer environment and the Internet allowed us to concentrate all above-listed options in a single toolkit easily available to any user in the world.     

Inter-orbital low-thrust transfers in an arbitrary field of forces

Low-thrust transfers between preset orbits are considered in the presence of perturbations of different origin. A simple method of finding the transfer trajectory is suggested, based on linearization of motion near reference orbits. The required accuracy of calculations is achieved by way of increasing the number of reference orbits. The method can also be used in the case of a large number of revolutions around the attracting center: no averaging of motion is required in this case. The suggested method is applicable as well, when the final orbit is specified partially and when there are constraints on the thrust direction. The optimal solution to the linearized problem is not optimal for the original problem; closeness of solutions to these two problems is estimated using a numerical example. Capabilities of the method are also illustrated by examples.     

基于日地月方位信息的月球卫星自主导航

采用自主导航技术，可以降低月球卫星的任务成本，提高其生存能力。现研究了利用太阳敏感器、地球敏感器和月球敏感器测量出的卫星-太阳、卫星-地球和卫星-月球方向矢量作为观测量，采用迭代最小二乘方法、定历元时刻的卫星状态，并以轨道预报的方式实现月球卫星的自主导航。对该自主导航算法进行了数学仿真，分析比较了敏感器精度、部分轨道参数等因素对定位精度的影响，总结了其变化规律。最后对比了迭代最小二乘方法与扩展卡尔曼滤波的导航仿真结果，结果表明前者具有更高的精度。     

嫦娥二号探测器轨道确定与支持

针对嫦娥二号探测器直接进入地月转移轨道、距月面100km高度捕获月球、完成既定任务后飞往日地第二拉格朗日平动点等飞行轨道方面的新特点,分析了定轨预报策略,利用事后精密轨道,全面评估了关键变轨点定轨预报和变轨后快速定轨的精度,其中,近月制动前3h定轨预报至近月点的位置误差为1km,速度误差为 0.3m/s 。利用不同月球引力场模型进行环月轨道精密定轨,根据实测数据残差分析和精密星历比对的结果,采用SGM100h引力场模型的定轨残差均方根最大。此外,针对嫦娥二号扩展任务,分析了不同测轨条件下的定轨精度,测量数据残差分析结果表明,在扩展任务中途修正前的定轨弧段内,测距、时延和时延率数据的残差分别为5m,5ns和1ps/s。     

Guidance of a spacecraft with low lift-to-drag ratio to a landing point

The problem of terminal control over a deorbiting spacecraft at the stage of its flight after leaving plasma (altitude of ∼40 km) is considered, the aim being to guide it to a preset landing point. The algorithm is based on a modification of the well-known method of proportional navigation, when a fixed point is the target. It is suggested to use satellite navigation systems (of the GLONASS or GPS types) and/or radio beacons, which should allow one to determine the spacecraft trajectory parameters with high precision. Single-channel control is performed by changing the roll angle according to current parameters of the trajectory, which ensures adaptability of the method. Examples of three-dimensional trajectories of flight are presented for a manned spacecraft with low lift-to-drag ratio (∼0.5), currently under design in Russia. The results of statistical modeling taking into account initial deviations of the trajectory parameters and wind disturbances are presented. A method of statistical choice of a reference trajectory for the guidance stage is suggested. A theoretical possibility of using the algorithm of spacecraft guidance (in case of in-light accident with a carrier launcher) to preset regions in the vicinity of launching route is demonstrated. A qualitative analysis of proportional navigation with a fixed target is presented.     

GNSS全球导航卫星系统的新发展

GNSS全球导航卫星系统是20世纪90年代中期欧盟提出的一种综合星座系统,而不是一个单一星座系统。GNSS主要包括GPS、GLONASS、Galileo、Compass和IRNSS及它们的星基增强系统,例如,WAAS、EGNOS和GDGPS等。文中主要分析了GPS、GLONASS、Galileo的新发展及Compass和IRNSS的建设进展。     

THEONA—a numerical-analytical theory of motion of artificial satellites of celestial bodies

Basic principles of operation of the numerical-analytical theory THEONA (THéorie Numérique-Analytique) are presented, as well as force models taken into account and special functions used. Possibilities of applying the THEONA in problems of ballistic and navigation support are discussed. The accuracy of predicting the motion of the Earth??s satellites is estimated for various classes of orbits.     

MHD Simulations of the Dynamics of Sharp Disturbances of the Interplanetary Medium and Comparison with Spacecraft Observations

One-dimensional MHD simulations of solitary sharp and strong disturbances (impulses) of the interplanetary magnetic field and plasma of the homogeneous solar wind were performed. The characteristics of a disturbance of this type, recorded onboard the WIND spacecraft (SC) rather far from the Earth, were taken as initial conditions. The results of numerical experiments simulating the evolution of this disturbance in the moving interplanetary plasma, whose parameters correspond to observations of the WIND and INTERBALL-1 SC, show the efficiency of the computer code developed with the special purpose of investigating low-frequency wave events in the space environment. The calculated characteristics of the impulse resulting from the evolution are in good agreement with parameters of the disturbance recorded by the INTERBALL-1 SC closer to the Earth. In particular, the impulse expands due to imbalance of thermal and magnetic pressures, but keeps its abrupt boundaries. It was demonstrated that stable plasma objects, corresponding to stationary MHD solutions, could really exist in the solar wind plasma for a long time.     

NPF算法在X射线脉冲星导航中的应用研究

针对X射线脉冲星导航中航天器模型的强非线性、高阶模型不确定性等问题,提出应用非线性预测滤波(NPF)算法实时估计航天器的轨道信息。首先,建立具有模型不确定性的X射线脉冲星导航定轨指标函数,优化得到满足指标函数最小的系统模型误差值,通过降低模型不确定性的影响来提高航天器自主定轨精度。对STK生成的“火星探路者”和“金星快车”及“北斗一号”三种航天器轨道数据进行分析,仿真结果表明,该算法比EKF算法具有更高的定轨精度,能够满足深空以及近地轨道航天器的自主定轨精度指标要求。