A new class of intermediate thrust arcs in the restricted three-body problem

The Mayer’s variational problem of determining spacecraft optimal trajectories in the context of a classical restricted three-body problem is considered. Integrability of differential equations of a controllable motion in the non-central gravitational field represents well known and challenging task. It is shown that in the absence of sufficient number of first integrals, an explicit dependability of unknown integrals on certain variables can be used to explore the existence of previously unknown particular integrals and solutions of these equations utilizing Dokshevich’s method of analytical dynamics. A new class of extremal analytical solutions of the problem for intermediate thrust arcs is presented. An illustrative example of utilizing these solutions in minimizing the spacecraft characteristic velocity of a transfer from a specified initial position to some final position in the Earth-Moon system is discussed.     

Variations of the gravitational field as a motive power for rhythmics of biochemical processes.

Variations of the gravitational field affected by the Sun and the Moon while the Earth's moving along the orbit seem to be a powerful source of many rhythmical processes typical of biochemical processes. Studies carried out in AARI revealed the obvious relationships between the dynamics of some biochemical reactions and lambda(D)-function describing the regular variations of the gravitational field under combined influence of the Sun and the Moon. The following of them are examined as examples: the rate of the unithiol oxidation in vitro, concentration of the thiol compounds in human urine, some hematological indicators (rate of the erythrocytes sedimentation, hemoglobin content). Compatibility of run of the biochemical indicators and lambda(D)-function is indicative of essential influence of the regular variations of the gravitational field on rhythmics of the biochemical processes. As this takes place, the solar activity acts like to the instability factor. Balance of the solar activity effects and the varying gravitational field effect alter in time depending on location in the solar activity cycle.     

一组新的绳系卫星系统广义坐标

应用一组新的六维广义坐标,在一个统一的力学系统中,研究在外摄动力（地球非球形引力与大气阻力等）及系绳拉力的作用下,绳系系统质心在惯性空间的轨道运动,以及该系统相对于质心的相对运动。系绳模拟为具有质量的弹性连续体,系绳两端的空间飞行器假设为点质量。下列变量取为力学系统的广义坐标：系统质心的向径、赤经、赤纬,主星与子星之间的距离,以及系绳相对于系统质心子午面的两个欧拉角。经典的质心轨道根数,以及系绳在质心轨道面内与轨道面外的摆动角,均可由上述六个广义坐标及其广义速度确定。     

Necessary conditions for the optimality of singular arcs of spacecraft trajectories subject to multiple gravitational bodies

This document analyzes the optimality of intermediate thrust arcs (singular arcs) of spacecraft trajectories subject to multiple gravitational bodies. A series of necessary conditions for optimality are formally derived, including the generalized Legendre–Clebsch condition. As the order of singular optimality turns out to be two, an explicit formula for the singular optimal control is also presented. These analytical outcomes are validated by showing that they are identical to Lawden’s classical result if the equations of motion are reduced for a central gravity field. Practical utility is demonstrated by applying these analytical derivations to a candidate optimal trajectory near the Moon subject to solar and Earth perturbation. While the candidate optimal trajectory turns out to be bang-singular-bang, the intermediate thrust arc satisfies all the necessary conditions for optimality.     

Modeling of the radiation exposure during the flight of the second Bulgarian cosmonaut on board the Mir Space Station.

An experiment involving active detection of space radiation was carried out in the Space Research Institute (SRI) of Bulgarian Academy of Sciences, in preparation of the flight of the second Bulgarian cosmonaut. The radiations that would be encountered on the flight were modelled including solar and galactic cosmic rays and the particle radiation in the Earth's radiation belts. The dose rate was calculated for these different radiations behind the shielding of the space station. The variations in dose rates over the period of the flight were calculated and compared with measurements made during the orbit of the Mir Space Station. The calculated and measured dose rates agreed within 15-35%.     

Equilibrium positions on stationary orbits and planetary principal inertia axis orientations for the Solar System

We present a qualitative analysis in a phase space to determine the longitudinal equilibrium positions on the planetary stationary orbits by applying an analytical model that considers linear gravitational perturbations. We discuss how these longitudes are related with the orientation of the planetary principal inertia axes with respect to their Prime Meridians, and then we use this determination to derive their positions with respect to the International Celestial Reference Frame. Finally, a numerical analysis of the non-linear effects of the gravitational fields on the equilibrium point locations is developed and their correlation with gravity field anomalies shown.     

A Mechanism of Solar Variability Effect on Radiative Balance of the Earth Atmosphere

Possible mechanisms of solar-climatic connections, which may be of importance as over short and long time intervals, are discussed. The variations of energetic balance of Earth's climatic system for the last fifty years are estimated. It is ascertained that the disbalance between the flux of solar energy that comes to the Earth and radiates to space is of 0.1% for the last ten years. The suggested mechanism makes it possible to explain not only the observed variation of the enthalpy of the Earth's climatic system for the period 1910-1980, but also the climate anomalies during last thousand years: the climate optimum in 12 century, and"small glacial period" in 16-17 centuries.      

空间引力红移实验的原理与精度

通过对文献[4, 5]关于空间引力红移实验原理与精度的分析,根据爱因斯坦惯性力与引力等效的原理,提出在航天器内部,重力的大部分被惯性力抵消,因而其中的微重力比轨道重力小很多(失重).因此,应当把星载原子钟的重力势取为与微重力相当的有效重力势,而不能简单地将星载钟的重力势取为轨道重力势.另外,检验相对论红移需要将理论值与实验值进行对比,这两种数值均具有误差,而检验精度取决于误差较大者.因此,如果不提高地球重力模型(例如EGM2008)精度而只提高测量精度则不能提高检验精度.     

短航程对象的导航误差方程及修正

远程运动对象常选地平坐标系为导航系,短航程的对象可选切平面惯性坐标系为导航系。本文推导了切平面惯性系统的导航误差方程;作为应用研究进行了误差分析,建立了精度与惯导装置误差源的解析联系。由于地球自转会引入误差,本文讨论了补偿地球自转的修正方法。     

Semi-analytical theory of mean orbital motion for geosynchronous space debris under gravitational influence

This paper provides a hamiltonian formulation of the equations of motion of an artificial satellite or space debris orbiting the geostationary ring. This theory of order 1 has been formulated using canonical and non-singular elements for eccentricity and inclination. The analysis is based on an expansion in powers of the eccentricity and of the inclination. The theory accounts for the influence of the Earth gravity field expanded in spherical harmonics, paying a particular attention to the resonance occurring for geosynchronous objects. The luni-solar perturbations are also taken into account. We present the resonant motion and its main characteristics: equilibria, stability, fundamental frequencies and width of the resonant area by comparison with a basic analytical model. Finally, we show some results concerning the long term dynamics of a typical space debris under the influence of the gravitational field of the Earth and the luni-solar interactions.     

小天体着陆动力学参数不确定性影响分析

针对小天体不规则程度高、引力场复杂,且物理参数存在较高不确定性的问题,基于小天体着陆动力学方程线性化近似解析解,对各动力学参数不确定性的影响进行了分析。考虑动力学方程线性化带来的误差,引入线性化误差补偿校正方法,建立了探测器轨迹对动力学参数不确定性的敏感度方程。以小行星Eros 433为例,重点分析了目标小天体质量、自转角速度、引力势函数系数,以及探测器初始状态、推力加速度等动力学参数不确定性对探测器着陆轨迹的影响。数学仿真分析表明,针对本文选取的目标小天体,推力加速度扰动为主要影响因素,探测器初始状态的不确定性为次要影响因素,其他参数扰动的影响较小。     

粘弹性板的蠕变屈曲研究

研究了有初始小挠度单向受压粘弹性板在两种民政部下的蠕变屈曲问题。第一种情况是建立控制方程时忽略横向剪切变形；第二种情况是不忽略横向剪切变形。通过求解控制方程得到了挠度随时间扩的解析表达式，从而又得到了瞬时临界载荷和持久临界载荷，并讨论了横向剪切变形对临界载荷的影响。     

近圆轨道地球观察卫星轨道调整动态分析

本文讨论了使用小推力在有限弧段上调整地球观察卫星轨道偏差的动力学过程。首先,建立调整模型及与之相应的控制方程;其次,进行了轨道变换过程的分析;最后,讨论了推力偏斜的影响。所得结果可供同类卫星轨道调整技术方案设计时参考。      

The gravitational field and brain function.

The frontal cortex is recognized as the highest adaptive control center of the human brain. The principle of the "frontalization" of human brain function offers new possibilities for brain research in space. There is evolutionary and experimental evidence indicating the validity of the principle, including it's role in nervous response to gravitational stimulation. The gravitational field is considered here as one of the more constant and comprehensive factors acting on brain evolution, which has undergone some successive crucial steps: "encephalization", "corticalization", "lateralization" and "frontalization". The dominating effects of electrical responses from the frontal cortex have been discovered 1) in experiments under gravitational stimulus; and 2) in processes potentially relating to gravitational adaptation, such as memory and learning, sensory information processing, motor programing, and brain state control. A brain research experiment during space flight is suggested to test the role of the frontal cortex in space adaptation and it's potentiality in brain control.     

考虑横向剪切正交异性粘弹性薄板的蠕变屈曲

研究了正交各向异性粘弹性薄板在单向受压时的蠕变屈曲问题，在建立控制方程时考虑了横向剪切的影响，通过求解控制方程得到了挠度随时间变化的解析表达式以及瞬时临界载荷和持久临界载荷。     

Comparing two models of the Earth''s magnetosphere

The existence of a multiplicity of models of the Earth's magnetosphere raises the question: when are two of them equivalent in representing the real magnetosphere? The isomorphism of any two models of the Earth's magnetosphere is defined in terms of magnetic field characteristics. To assess to what degree empirical models are isomorphic with physical ones, two magnetospheres are compared: the magnetosphere of Mead and Fairfield [1975] and the physical magnetosphere proposed by Buneman, [1993]. Parameters realizing the isomorphism are found for the Buneman magnetosphere and the distribution in space of magnetic field characteristics are presented for both models.     

基于卫星自旋的纯引力轨道万有引力干扰抑制

一个称为“内卫星”的验证质量块位于外卫星的内部空腔中,不与外卫星接触而自由飞行,由于外卫星的屏蔽,其不受大气阻力、太阳光压等干扰作用,沿着纯引力轨道飞行。外卫星会对内卫星产生万有引力作用,是内卫星纯引力轨道的主要残余干扰。根据卫星相对运动动力学方程,建立了万有引力干扰对内卫星纯引力轨道影响的分析模型;基于将外卫星绕轨道面法向旋转以调制万有引力的策略,建立了外卫星自旋对万有引力干扰影响的抑制模型。以内编队纯引力飞行系统为例,对比计算了外卫星有无自旋时万有引力干扰对内卫星纯引力轨道的影响。基于模型的分析表明,外卫星自旋能够显著抑制万有引力干扰对内卫星纯引力轨道的长期影响;实例计算表明,万有引力干扰的天长期影响能够降低5~7个数量级。     

Effect of artificial electric fields on plants grown under microgravity conditions.

Ionic and structural hetorogeneity of cells, tissues, and organs of plants are associated with a spectrum of electric characteristics such as bioelectric potentials, electrical conductance, and bioelectric permeability. An important determinant for the plant function is electric properties of the cell membranes and organelles which maintain energy and substance exchange with the environment. Enzymes and other biologically active substances have a powerful charge at the molecular level. Finally, all molecules, including those of water, represent dipoles, and this determines their reactive capacity. A major determinant is the bioelectric polarity of a plant is genetically predetermined and cannot be modified. It is an intrinsic structural feature of the organism whose evolution advent was mediated by gravity. An illustrative presentation of polarity is the downward growth of the roots and upward growth of stems in the Earth's gravitation field. However, gravity is a critical, but not the sole determinant of the plant organism polarization. Potent polarizing effects are exerted by light, the electromagnetic field, moisture, and other factors. It is known that plant cultivation in an upturned position is associated with impairment of water and nutrient uptake, resulting in dyscoordination of physiological processes, growth and developmental retardation. These abnormalities were characteristic when early attempts were made to grow plants in weightlessness conditions.     

Validation of the in-flight calibration procedures for the MICROSCOPE space mission

The MICROSCOPE space mission aims to test the Equivalence Principle with an accuracy of 10^-15${10}^{-15}$. The drag-free micro-satellite will orbit around the Earth and embark a differential electrostatic accelerometer including two cylindrical test masses submitted to the same gravitational field and made of different materials. The experience consists in testing the equality of the electrostatic acceleration applied to the masses to maintain them relatively motionless. The accuracy of the measurements exploited for the test of the Equivalence Principle is limited by our a priori knowledge of several physical parameters of the instrument. These parameters are partially estimated on-ground, but with an insufficient accuracy, and an in-orbit calibration is therefore required to correct the measurements. The calibration procedures have been defined and their analytical performances have been evaluated. In addition, a simulator software including the dynamics model of the instrument, the satellite drag-free system and the perturbing environment has been developed to numerically validate the analytical results. After an overall presentation of the MICROSCOPE mission, this paper will describe the calibration procedures and focus on the simulator. Such an in-flight calibration is mandatory for similar space missions taking advantage of a drag-free system.