Semi-stochastic modification of second-order radial derivative of Abel–Poisson’s formula for validating satellite gravity gradiometry data

The geoid can be used to validate the satellite gravity gradiometry data. Validation of such data is important prior to their downward continuation because of amplification of the data errors through this process. In this paper, the second-order radial derivative of Abel–Poisson’s formula is modified stochastically to reduce the effect of the far-zone geoid and generate the second-order radial derivative of geopotential at 250 km level. The numerical studies over Fennoscandia show that this method yields the gradients with an error of 10 mE and when the long wavelength of geoid is removed from the estimator and restored after the computations (remove–compute–restore) the error will be in 1 mE level. We name this method semi-stochastic modification. The best case scenario is found when the degree of modification of the integral formula is 200 and the long wavelength geoid to degree 100 is removed and restored. In this case the geoid should have a resolution of 15′ × 15′ and the integration should be performed over a cap size of 3°.     

Characteristics of field line resonance type geomagnetic pulsations and variations of plasmaspheric plasma density distribution

The period of field line resonance (FLR) type geomagnetic pulsations depends on the length of the field line and on the plasma density in the inner magnetosphere (plasmasphere), where field lines are closed. Here as FLR period, the period belonging to the maximum occurrence frequency of the occurrence frequency spectrum (equivalent resonance curve) of pulsations has been considered. The resonance system may be replaced by an equivalent resonant circuit. The plasma density would correspond to the ohmic load. The plasma in the plasmasphere originates from the ionosphere, thus FLR period, occurrence frequency are also affected by the maximum electron density in the ionosphere. The FLR period has shown an enhancement with increasing F region electron density, while the occurrence frequency indicated diminishing trend (possible damping effect). Thus, the increased plasma density may be the cause of the decreased occurrence of FLR type pulsations in the winter months of solar activity maximum years (winter anomaly).     

Evolution of periodic orbits near the Lagrangian point L2

A study of the evolution of the periodic and the quasi-periodic orbits near the Lagrangian point L₂, which is located to the right of the smaller primary on the line joining the primaries and whose distance from the more massive primary is greater than the distance between the primaries, in the framework of restricted three-body problem for the Sun–Jupiter, Earth–Moon (relatively large mass ratio) and Saturn–Titan (relatively small mass ratio) systems is made. Two families of periodic orbits around the smaller primary are identified using the Poincaré surface of section method – family I (initially elliptical, gradually becomes egg-shaped with the increase in the Jacobi constant C and elongated towards the more massive primary) and family II (initially egg-shaped orbits elongated towards L₂ and gradually becomes elliptical with the increase in C). The family I in the Sun–Jupiter and Saturn–Titan systems contains two separatrix caused by third-order and fourth-order resonances, while the Earth–Moon system has only one separatrix which is caused by third-order resonances. Also in the Sun–Jupiter and the Saturn–Titan systems, family I merge with family II, around Jacobian constant 3.0393 and 3.0163, respectively, while in the Earth–Moon system, family II evolves separately from two different branches. The two branches merge at C = 3.184515. In the Earth–Moon system, the family II contains a separatrix due to third-order resonances which is absent in the other two systems.     

CubeSail: A low cost CubeSat based solar sail demonstration mission

CubeSail is a nano-solar sail mission based on the 3U CubeSat standard, which is currently being designed and built at the Surrey Space Centre, University of Surrey. CubeSail will have a total mass of around 3 kg and will deploy a 5 × 5 m sail in low Earth orbit. The primary aim of the mission is to demonstrate the concept of solar sailing and end-of-life de-orbiting using the sail membrane as a drag-sail. The spacecraft will have a compact 3-axis stabilised attitude control system, which uses three magnetic torquers aligned with the spacecraft principle axis as well as a novel two-dimensional translation stage separating the spacecraft bus from the sail. CubeSail’s deployment mechanism consists of four novel booms and four-quadrant sail membranes. The proposed booms are made from tape-spring blades and will deploy the sail membrane from a 2U CubeSat standard structure. This paper presents a systems level overview of the CubeSat mission, focusing on the mission orbit and de-orbiting, in addition to the deployment, attitude control and the satellite bus.     

基于热敏电阻的气体温度测量误差分析

挤压气体内部温度的精确测量对确定贮箱内推进剂剩余量和提高氧化剂和燃烧剂的混合比控制精度有重要意义.提出了一种基于热敏电阻的矢量测温方法,通过测量气瓶壁面温度推算气体内部真实温度,分析温度电阻非线性特性、温度—电压处理电路、A/D采样非线性等因素导致的温度测量误差,最终获得系统自身的温度采集误差,在此基础上分析了影响此误差的主要因素.最后分析了外界干扰引起的测量噪声对温度测量的影响,并采用小波降噪的方法对此进行降噪处理,使温度测量精度得到较大改善,并最终确定了内部气体温度的测量误差.     

陀螺经纬仪在北向基准检测中的应用研究

利用高端精密仪表——陀螺经纬仪,确定与检测棱镜、转台、地标北向基准准确度。在说明了陀螺经纬仪寻北原理、使用方法的基础上,描述了棱镜、转台、地标等检测方法和技术要求。     

星载可展开天线热振动数值分析

根据非耦合动力学理论及有限元方法,研究分析了星载可展开天线的热振动。利用半正弦波温度冲击模拟热动力荷载,对天线典型节点的热振动位移和应力以及形面精度进行了数值分析。研究表明,急剧变化的温度荷载将导致该天线结构发生热振动,热振动响应明显大于静力学响应。     

伺服机构负载模拟系统设计与动态特性分析

针对火箭发动机喷管伺服机构的负载模拟问题,采用机械的方式,设计了一种可对伺服机构的惯性负载、摩擦力矩负载、弹性力矩负载、安装刚度以及发动机喷管柔性特征进行模拟的负载模拟器,并建立了模拟器和伺服机构数学模型。仿真分析了惯性负载、弹性力矩以及喷管柔性对伺服机构负载多自由度特性的影响。通过对伺服机构扫频实验,负载模拟器中的负载在一定范围内调节,可复现伺服机构实际工作中的动态特性。说明该负载模拟器结构设计合理,从而为具有多自由度特性的火箭伺服机构的负载模拟系统设计提供参考。该系统已经得到实际应用。     

基于三维最小二乘方法的空间直线度误差评定

空间直线度误差是评定机械产品精度的一项重要指标,实际工程中对空间直线度误差评定算法的精度要求越来越高.为了准确评定空间直线度误差,参照国家标准(GB/T 11336—2004),采用三维最小二乘方法建立了空间直线拟合的数学模型,并给出了该数学模型的精确解.基于最小二乘拟合中线,采用空间投影、坐标变换和格点法求得最小二乘中线包容圆柱面直径.采用数值算例验证了新方法的有效性.提出的空间直线度误差评定方法精度高、鲁棒性好且易于编程实现.