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Orbital motion control of an electrically charged spacecraft 带电航天器的轨道运动控制
IF 3.1 2区 物理与天体物理 Q1 ENGINEERING, AEROSPACE Pub Date : 2024-11-06 DOI: 10.1016/j.actaastro.2024.10.043
M.A. Klyushin , A.A. Tikhonov , D.K. Giri
In this paper, the orbital motion of an electrically charged spacecraft in the gravitational and magnetic fields of the Earth is investigated. The “direct magnetic dipole” is considered as a model of the geomagnetic field. The nonlinear non-autonomous system of differential equations of motion of the spacecraft center of mass in the Cartesian and spherical coordinate systems is derived. The analytical study of the influence of the Lorentz force on the orbital motion of a charged spacecraft is carried out. The approximate solution of the differential system is found. The results of numerical simulation of the spacecraft orbital motion based on the derived system of differential equations are presented. The analytical and numerical solutions are compared. The problem of stabilizing the spacecraft’s center of mass in the orbital plane is considered. Feedback control methods based on the use of jet engines are proposed. The technical justification of the proposed control methods is carried out. As a result, stabilization of an electrically charged spacecraft in a small neighborhood of the plane of the initial orbit is achieved. The motion of a spacecraft with a variable electric charge is considered. Methods of controlling orbital motion due to low thrust as a result of the Lorentz force effect are proposed.
本文研究了带电航天器在地球引力场和磁场中的轨道运动。直接磁偶极子 "被视为地磁场模型。推导了航天器质心在直角坐标系和球面坐标系中的非线性非自主运动微分方程系。对洛伦兹力对带电航天器轨道运动的影响进行了分析研究。找到了微分系统的近似解。介绍了根据推导出的微分方程系对航天器轨道运动进行数值模拟的结果。比较了分析解和数值解。考虑了在轨道平面上稳定航天器质心的问题。提出了基于使用喷气发动机的反馈控制方法。对提出的控制方法进行了技术论证。结果,在初始轨道平面的一个小邻域内实现了带电航天器的稳定。考虑了带可变电荷的航天器的运动。提出了控制由于洛伦兹力效应造成的低推力轨道运动的方法。
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引用次数: 0
Satellites state vectors refinement based on international laser ranging system using machine and deep learning 利用机器学习和深度学习,基于国际激光测距系统完善卫星状态向量
IF 3.1 2区 物理与天体物理 Q1 ENGINEERING, AEROSPACE Pub Date : 2024-11-06 DOI: 10.1016/j.actaastro.2024.10.029
N.V. Belyakov , S.V. Kolpinskiy
With the increasing number of space objects in near-Earth space, the necessity of high-precision determination of space objects state vectors, as well as its classification by size, velocity, and potential danger to active satellites and space stations is becoming increasingly important for space flight safety services. In case of necessity of taking decisions of satellites orbit corrections and avoiding space emergency situations in real time mode artificial intelligence services could be used. The results proposed in this study show that machine and deep learning models can significantly improve the accuracy of determining the space objects state vector for classical numerical models and space catalogs, that is very essential task for space flights safety. The parameters of the Two-Line-Elements catalog and the model of it convertation to state vector are considered as input data to process, International Laser Ranging Service data from ground stations is considered as the ground truth measurements. The methodology considered here can be applied to any artificial space objects with various orbit parameters, thus, helps to provide space flights safety assurance.
随着近地空间空间物体数量的不断增加,高精度确定空间物体的状态矢量以及按其大小、速度和对在役卫星和空间站的潜在危险进行分类的必要性对空间飞行安全服务越来越重要。在需要实时做出卫星轨道修正和避免空间紧急情况的决策时,可以使用人工智能服务。本研究提出的结果表明,机器学习和深度学习模型可以显著提高经典数字模型和空间目录确定空间物体状态矢量的准确性,这对空间飞行安全来说是非常重要的任务。双线元素目录的参数及其转换为状态矢量的模型被视为需要处理的输入数据,来自地面站的国际激光测距服务数据被视为地面实况测量数据。这里所考虑的方法可应用于具有各种轨道参数的任何人造空间物体,从而有助于提供空间飞行安全保证。
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引用次数: 0
Experimental study on the time-dependent spatial distribution of the three-dimensional magnetic field in an inductive pulsed plasma thruster 电感脉冲等离子体推进器中三维磁场随时间变化的空间分布实验研究
IF 3.1 2区 物理与天体物理 Q1 ENGINEERING, AEROSPACE Pub Date : 2024-11-06 DOI: 10.1016/j.actaastro.2024.11.012
Che Bixuan, Wu Jianjun, Zhang Yu, Li Xiaokang, Cheng Mousen, Wang Moge
Inductive pulsed plasma thrust generates thrust by ionizing and accelerating plasma through pulsed inductive electromagnetic field. The spatial distribution of the magnetic field within the discharge region influences both the Lorentz force exerted on plasma and the electromagnetic coupling between plasma and circuit. An experimental prototype of inductive pulsed plasma thruster with high repeatability and a three-dimensional transient magnetic field measurement system with low integration error are established. Time-dependent spatial distribution of the magnetic field in the plasma is obtained by scanning measurement employing repeated pulse discharges. Combined with the results of high-speed photographing and electrical parameter measurements, the relationship between the evolution of plasma structure and the magnetic field penetration is discussed.
感应脉冲等离子体推力通过脉冲感应电磁场电离和加速等离子体产生推力。放电区内磁场的空间分布既影响施加在等离子体上的洛伦兹力,也影响等离子体与电路之间的电磁耦合。建立了具有高重复性的感应脉冲等离子体推进器实验原型和具有低积分误差的三维瞬态磁场测量系统。通过重复脉冲放电的扫描测量,获得了等离子体中与时间相关的磁场空间分布。结合高速摄影和电参数测量的结果,讨论了等离子体结构演变与磁场穿透之间的关系。
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引用次数: 0
Numerical study on flow and combustion properties of oblique detonation engine in a wide speed range 宽转速范围内斜爆燃发动机流动和燃烧特性的数值研究
IF 3.1 2区 物理与天体物理 Q1 ENGINEERING, AEROSPACE Pub Date : 2024-11-06 DOI: 10.1016/j.actaastro.2024.10.067
Yang Wang , Fang Chen , Yu Meng , Elena Victorovna Mikhalchenko , Evgeniya Igorevna Skryleva
Ensuring safe flight is a fundamental prerequisite for developing hypersonic propulsion systems. A comprehensive investigation of the steady boundary associated with oblique detonation wave in a wide speed range was conducted, with the aim of exploring the feasibility of oblique detonation engine across a diverse array of flight conditions. In this study, the wedge angle applicable in a wide-speed range was acquired via the analysis of oblique detonation wave polar curve. The configuration of the internal injection oblique detonation engine was subsequently designed and established, considering the effect of fuel-air inhomogeneity and complex wave system interactions within a confined combustor. The compressible Euler equations coupled with a 9-species and 19-step chemical reaction mechanism are employed to simulate the oblique detonation process. Ultimately, the safe flight envelope of an air-breathing vehicle equipped with the internal injection oblique detonation engine is mapped across a broad range of Mach numbers, demonstrating the engine’s capability to operate within the Mach 8 to 12 range. Furthermore, the findings reveal that decreasing either the flight Mach number or altitude results in unsteady oblique detonation wave within the internal injection oblique detonation engine combustor, however, reducing the equivalence ratio can stabilize the oblique detonation wave once again. This study provides valuable guidance for the design and wide-speed-range operation of an internal injection oblique detonation engine.
确保安全飞行是开发高超音速推进系统的基本前提。为了探索斜向爆轰发动机在各种飞行条件下的可行性,我们对斜向爆轰波在宽速度范围内的稳定边界进行了全面研究。在这项研究中,通过分析斜爆轰波极坐标曲线,获得了适用于宽速度范围的楔角。随后,考虑到燃料-空气不均匀性和密闭燃烧器内复杂波系相互作用的影响,设计并确定了内部喷射斜爆燃发动机的配置。采用可压缩欧拉方程和 9 种 19 步化学反应机制来模拟斜爆过程。最终,绘制了配备内部喷射斜爆燃发动机的喷气式飞行器在较大马赫数范围内的安全飞行包络线,证明该发动机有能力在 8 至 12 马赫范围内工作。此外,研究结果表明,降低飞行马赫数或飞行高度都会导致内部喷射斜压起爆发动机燃烧器内的斜压起爆波不稳定,但降低当量比可以再次稳定斜压起爆波。这项研究为内喷斜爆发动机的设计和宽速范围运行提供了宝贵的指导。
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引用次数: 0
Study on characteristics and prediction of the pressure drag of the swept strut under supersonic wide-range conditions 超音速大范围条件下扫掠支柱压力阻力的特征和预测研究
IF 3.1 2区 物理与天体物理 Q1 ENGINEERING, AEROSPACE Pub Date : 2024-11-05 DOI: 10.1016/j.actaastro.2024.11.005
Guowei Luan, Junlong Zhang, Guangjun Feng, Xiaosi Li, Hongchao Qiu, Wen Bao
In this paper, the numerical simulation of the swept strut ramjet combustor was carried out under wide-range conditions (Ma3 = 1.8 ∼ 5.0), and the pressure drag characteristics of the swept strut were discussed. The results show that the pressure drag characteristics of the swept strut are related to the Mach number of the combustor inlet and the swept angle of the strut. The decreased boundary of the strut pressure drag coefficient gradually advances with the decrease of the Mach number of the combustor inlet. When Ma3 = 1.8 ∼ 2.0, the pressure drag reduction boundary is α = 15°. When Ma3 = 2.2 ∼ 2.8, the pressure drag reduction boundary is α = 45°. When Ma3 = 3.0 ∼ 4.0, the pressure drag reduction boundary is α = 60°. When Ma3 = 5.0, the pressure drag reduction boundary is α = 65°. In addition, with the decrease of the Mach number of the combustor inlet, the pressure drag reduction performance benefit brought by increasing the swept angle of the strut will gradually increase. Furthermore, a pressure drag coefficient prediction model suitable for wide-range conditions and multiple configurations of swept struts was proposed based on deep learning. The prediction model consists of two parts in series, which includes the prediction model of the surface pressure coefficient of the swept strut based on multilayer perceptron (MLP) and the prediction model of the pressure drag coefficient of the swept strut based on convolutional neural network (CNN). To improve the prediction accuracy of the MLP model, new training samples were added based on the ensemble-based uncertainty quantification, and the improved MLP model was obtained by retraining. The results show that both the two prediction models have high prediction accuracy under the effect of multiple complex flow characteristics on the strut. The results of this study are helpful to provide a reference for the aerodynamic drag reduction design of the strut in the wide-speed supersonic combustor.
本文在宽范围条件(Ma3 = 1.8 ∼ 5.0)下对扫弦冲压式喷气燃烧器进行了数值模拟,并讨论了扫弦的压力阻力特性。结果表明,扫掠支柱的压力阻力特性与燃烧器入口的马赫数和支柱的扫掠角有关。随着燃烧器入口马赫数的减小,支柱压力阻力系数的减小边界逐渐变大。当 Ma3 = 1.8 ∼ 2.0 时,压力阻力降低边界为 α = 15°。当 Ma3 = 2.2 ∼ 2.8 时,压力阻力减小边界为 α = 45°。当 Ma3 = 3.0 ∼ 4.0 时,压力阻力减小边界为 α = 60°。当 Ma3 = 5.0 时,压力阻力减小边界为 α = 65°。此外,随着燃烧器入口马赫数的降低,增加支杆扫掠角所带来的压力阻力降低性能效益也会逐渐增加。此外,还提出了一种基于深度学习的压力阻力系数预测模型,适用于多种工况和多种配置的扫掠支柱。该预测模型由两部分串联而成,包括基于多层感知器(MLP)的横梁表面压力系数预测模型和基于卷积神经网络(CNN)的横梁压力阻力系数预测模型。为了提高 MLP 模型的预测精度,在基于集合的不确定性量化基础上增加了新的训练样本,并通过重新训练获得了改进的 MLP 模型。结果表明,在多种复杂流动特性对支柱的影响下,两种预测模型都具有较高的预测精度。该研究结果有助于为宽体超音速燃烧器支杆的气动减阻设计提供参考。
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引用次数: 0
Synthetic thermal image generation and processing for close proximity operations 合成热图像生成和处理,用于近距离操作
IF 3.1 2区 物理与天体物理 Q1 ENGINEERING, AEROSPACE Pub Date : 2024-11-04 DOI: 10.1016/j.actaastro.2024.10.061
Lucia Bianchi, Michele Bechini, Matteo Quirino, Michèle Lavagna
The new scenarios foreseen in forthcoming space missions have increased interest towards optical-based relative navigation techniques, which have demonstrated efficacy in a variety of operational conditions. Although object detection methods have predominantly been used within the visible spectrum, optical payloads struggle in weak lighting conditions and are susceptible to overexposure. Consequently, thermal imaging systems are being investigated as a potential solution, as their integration into the current systems would greatly extend future mission capabilities. This study seeks to fill the gap in literature by assessing the performance of state-of-the-art object detection algorithms with images captured in the thermal spectrum. Given the scarcity of readily available thermal infrared (TIR) images captured in orbit, a novel rendering pipeline is implemented to generate physically accurate thermal images relevant to close-proximity scenarios. These synthetic representations feature a simplified target spacecraft against Earth and deep space backgrounds, including variations in illumination conditions, material properties, relative state, and scale. To ensure realistic outputs, the radiative field of the Earth is modelled based on satellite measurements collected in the cloud and Earth radiant energy system (CERES) database. To enrich the fidelity of the outputs, a thermal sensor model and the corresponding noise levels are introduced in the pipeline. The generated images are then used to test the performance of traditional object detection algorithms in discerning the region of interest (ROI) under different orbital scenarios. The results demonstrate the effectiveness of the selected methodologies in mitigating the influence of the Earth in the ROI extraction process, while also revealing a performance degradation due to the presence of multi-material targets.
即将到来的太空任务中预计会出现的新情况增加了人们对基于光学的相对导航技术的兴趣,这些技术已在各种操作条件下证明了其有效性。虽然物体探测方法主要是在可见光谱范围内使用,但光学有效载荷在微弱的照明条件下很难发挥作用,而且容易受到过度曝光的影响。因此,热成像系统正被作为一种潜在的解决方案进行研究,因为将其集成到现有系统中将大大扩展未来的任务能力。本研究试图通过评估最先进的物体检测算法在热光谱图像中的性能来填补文献空白。鉴于在轨捕获的现成热红外(TIR)图像很少,因此采用了一种新颖的渲染流水线来生成与近距离场景相关的物理上精确的热图像。这些合成图像以地球和深空背景下的简化目标航天器为特征,包括光照条件、材料属性、相对状态和比例的变化。为确保输出结果逼真,根据云层和地球辐射能量系统(CERES)数据库中收集的卫星测量数据对地球辐射场进行建模。为了提高输出结果的保真度,在管道中引入了热传感器模型和相应的噪声水平。生成的图像随后用于测试传统物体检测算法在不同轨道场景下辨别感兴趣区域(ROI)的性能。结果表明,所选方法能够有效减轻地球在 ROI 提取过程中的影响,同时也揭示了由于多材料目标的存在而导致的性能下降。
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引用次数: 0
Machine learning-based classification for Single Photon Space Debris Light Curves 基于机器学习的单光子空间碎片光曲线分类法
IF 3.1 2区 物理与天体物理 Q1 ENGINEERING, AEROSPACE Pub Date : 2024-11-03 DOI: 10.1016/j.actaastro.2024.10.066
Nadine M. Trummer, Amit Reza, Michael A. Steindorfer, Christiane Helling
The growing number of man-made debris in Earth’s orbit poses a threat to active satellite missions due to the risk of collision. Characterizing unknown debris is, therefore, of high interest. Light Curves (LCs) are temporal variations of object brightness and have been shown to contain information such as shape, attitude, and rotational state. Since 2015, the Satellite Laser Ranging (SLR) group of Space Research Institute (IWF) Graz has been building a space debris LC catalogue. The LCs are captured on a Single Photon basis, which sets them apart from CCD-based measurements. In recent years, Machine Learning (ML) models have emerged as a viable technique for analysing LCs. This work aims to classify Single Photon Space Debris LCs using the ML framework. We have explored LC classification using k-Nearest Neighbour (k-NN), Random Forest (RDF), XGBoost (XGB), and Convolutional Neural Network (CNN) classifiers in order to assess the difference in performance between traditional and deep models. Instead of performing classification on the direct LC data, we extracted features from the data first using an automated pipeline. We apply our models on three tasks, which are classifying individual objects, objects grouped into families according to origin, and grouping into general types. We successfully classified Space Debris LCs captured on Single Photon basis, obtaining accuracies as high as 90.7%. Further, our experiments show that the classifiers provide better classification accuracy with automated extracted features than other methods.
地球轨道上的人造碎片越来越多,由于存在碰撞风险,对在役卫星任务构成了威胁。因此,对未知碎片进行定性非常重要。光曲线(LC)是物体亮度的时间变化,已被证明包含形状、姿态和旋转状态等信息。自 2015 年以来,格拉茨空间研究所(IWF)的卫星激光测距(SLR)小组一直在建立空间碎片光曲线目录。LCs 是在单光子基础上捕获的,这使其有别于基于 CCD 的测量。近年来,机器学习(ML)模型已成为分析 LCs 的可行技术。这项工作旨在利用 ML 框架对单光子空间碎片 LCs 进行分类。我们使用 k-近邻(k-NN)、随机森林(RDF)、XGBoost(XGB)和卷积神经网络(CNN)分类器探索了 LC 分类,以评估传统模型和深度模型之间的性能差异。我们没有直接对 LC 数据进行分类,而是首先使用自动管道从数据中提取特征。我们在三个任务中应用了我们的模型,这三个任务分别是对单个物体进行分类、根据来源将物体归为一个系列,以及将物体归为一般类型。我们成功地对单光子捕获的空间碎片 LC 进行了分类,准确率高达 90.7%。此外,我们的实验还表明,与其他方法相比,分类器利用自动提取的特征提供了更好的分类准确性。
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引用次数: 0
Analysis of satellite attitude motion in a three-body tethered system during deployment via integral manifolds 通过积分流形分析三体系留系统在部署期间的卫星姿态运动
IF 3.1 2区 物理与天体物理 Q1 ENGINEERING, AEROSPACE Pub Date : 2024-11-02 DOI: 10.1016/j.actaastro.2024.10.062
Ying Zhang , Changqing Wang , Yuriy Zabolotnov , Aijun Li , Hongshi Lu
This paper aims to analyze the impact of unideal end-body configurations on attitude motion during the tether deployment process in a linear three-body tethered system (LTBTS). A main challenge in this process is the resonance between the nutation and spin angles caused by the unideal end-body configurations, leading to severe nutation angle oscillations. These oscillations can result in tether entanglement with the end-bodies or even tether rupture. To address this issue, the deployment model for the LTBTS is first established using the Lagrangian equations, with the end-body attitude described by Eulerian angles. Secondly, the system involves the separation of two subsatellites from the central main satellite in opposite directions. The dynamics response of the deployment process under unideal configuration of end-bodies is investigated. Resonance phenomena in nutation and spin angles are observed due to errors in initial angles/angular velocities, offset errors of tether connection points, and unideal structural characteristics of the satellites. Thirdly, to further understand this resonance, analytical solutions for resonance are derived by transforming the nutation angle equations, and satellite attitude equations are systematically solved via integral manifold methods. Potential resonance issues are mitigated by reducing system asymmetry and minimizing initial disturbances. Finally, the effectiveness of the dynamic analysis is validated through simulations.
本文旨在分析线性三体系留系统(LTBTS)系留部署过程中,非理想端体配置对姿态运动的影响。这一过程中的一个主要挑战是非理想端体配置引起的转角和自旋角之间的共振,从而导致严重的转角振荡。这些振荡可能导致系绳与端体缠绕,甚至系绳断裂。为了解决这个问题,首先使用拉格朗日方程建立了 LTBTS 的部署模型,并用欧拉角描述了端体的姿态。其次,该系统涉及两颗子卫星从中央主卫星向相反方向分离。研究了端体非理想配置下部署过程的动力学响应。由于初始角度/角速度误差、系绳连接点的偏移误差以及卫星的非理想结构特征,观察到转角和自旋角的共振现象。第三,为了进一步了解这种共振现象,通过变换倾角方程得出了共振的解析解,并通过积分流形方法系统地求解了卫星姿态方程。通过减少系统不对称和最小化初始干扰来缓解潜在的共振问题。最后,通过模拟验证了动态分析的有效性。
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引用次数: 0
Experimental study on droplet dynamics behavior and combustion characteristics of high performance green propellant in electrical ignition mode 电点火模式下高性能绿色推进剂的液滴动力学行为和燃烧特性实验研究
IF 3.1 2区 物理与天体物理 Q1 ENGINEERING, AEROSPACE Pub Date : 2024-11-02 DOI: 10.1016/j.actaastro.2024.11.003
JinZe Wu , GuoXiu Li , HongMeng Li , Shuo Zhang , ZhaoPu Yao , Tao Zhang
High performance green propellant represented by ammonium dinitramide-based liquid propellant and its new ignition method are the research hotspots of space propulsion in the 21st century. Exploring the complex multi-scale physical properties of multi-component ammonium dinitramide-based liquid propellant droplets in the electrical ignition mode has wide application significance for spray, propulsion system design and combustion control. The droplet dynamics behavior and combustion characteristics of propellant droplets at different ignition voltages were studied experimentally. The droplet dynamics behavior during the evaporation process, including violent volume oscillation, approximate steady-state expansion, contraction, secondary expansion, puffing and micro-explosion, have been determined by the generation, growth, and discharge of vapor bubbles. In the initial evaporation process, the heterogeneous nucleation is dominant. As the droplet is continuously heated, homogenization nucleation gradually dominates. The main physical and chemical mechanisms of bubble evolution driven by temperature involve methanol boiling, water overheating, ammonium dinitramide decomposition and combustion reaction between vapor molecules. Increasing the ignition voltage increases the droplet dynamics behavior and the combustion, but promotes the combustion instability. Increasing the ignition voltage increases the ignition delay time, puffing delay time, droplet lifetime, maximum temperature of droplet, and reduces the ignition critical diameter. It is proposed that the method of suppressing the droplet breakup dynamics at decomposition area and enhancing the droplet breakup dynamics at the combustion area are conducive to the combustion control of the thruster in electrical ignition mode. This research provides novel insight into the study of the electrical ignition mechanism of liquid fuels.
以二硝基铵基液体推进剂为代表的高性能绿色推进剂及其新型点火方式是21世纪空间推进领域的研究热点。探索多组分二硝胺基铵液体推进剂液滴在电点火模式下复杂的多尺度物理性质,对喷射、推进系统设计和燃烧控制具有广泛的应用意义。实验研究了不同点火电压下推进剂液滴的动力学行为和燃烧特性。蒸发过程中的液滴动力学行为,包括剧烈的体积振荡、近似稳态膨胀、收缩、二次膨胀、膨化和微爆,由汽泡的产生、增长和排出决定。在初始蒸发过程中,异质成核占主导地位。随着液滴不断受热,均质成核逐渐占据主导地位。温度驱动气泡演化的主要物理和化学机制包括甲醇沸腾、水过热、二硝铵分解和蒸汽分子间的燃烧反应。提高点火电压会增加液滴动力学行为和燃烧,但会加剧燃烧的不稳定性。增加点火电压会增加点火延迟时间、膨化延迟时间、液滴寿命、液滴最高温度,并减小点火临界直径。提出了抑制分解区液滴破裂动力学和增强燃烧区液滴破裂动力学的方法,有利于电点火模式下推进器的燃烧控制。这项研究为研究液体燃料的电点火机制提供了新的见解。
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引用次数: 0
The additionally charged forces in the Sun-Earth and Earth-Moon systems 日地和地月系统中的附加带电力
IF 3.1 2区 物理与天体物理 Q1 ENGINEERING, AEROSPACE Pub Date : 2024-11-02 DOI: 10.1016/j.actaastro.2024.10.072
Ting-Han Pei
We build a model to describe the net charges existing in the Sun and Earth. According to statistical mechanics, electrons on average move much faster than protons and neutrons at the same temperature. Electrons escape the Sun more easily than protons and neutrons, so the Sun becomes a charged star. We estimate the maximal net charges in the Sun by using statistical mechanics first. Then, we analyze the dynamical cycles between the positive and negative charged states. At a distance far away from the Sun, the effective net charges including the leaving protons and electrons are about 6.3×109C with energies of 1 GeV initially. We also use another way based on the observations of the Earth's perihelion precession to estimate the minimum and maximum net charges between 1.15×108C and 2.80×1010C in space from the Sun to Earth. The most charged particles from the Sun to the Earth are electrons, so both the Moon and Earth are impacted by them and very possibly have the same electricity. Next, we propose new physical mechanisms causing the slowdown of the Earth's spin and propose Coulomb's repulsive force resulting in the increasing distance between the Moon and Earth. As a result, it gives the net charges of 1.11×106C surrounding the Earth and 8.29×103C surrounding the Moon. Our estimations also correspond to early works. The charges surrounding the Sun and Earth cause the Earth to be long-term accelerated in the radial direction by Coulomb's force. Finally, using the effective net charges of the Sun and Earth, we calculate the increasing distance between 11.4 m and 19.4 m on average per century if the initial radial velocities of the Earth are in between 3.59×109m/s and 6.12×109m/s, which satisfies the observed reports.
我们建立了一个模型来描述太阳和地球中存在的净电荷。根据统计力学,在相同温度下,电子的平均移动速度比质子和中子快得多。电子比质子和中子更容易逃离太阳,因此太阳变成了一颗带电的恒星。我们首先利用统计力学估算太阳中的最大净电荷。然后,我们分析正负电荷状态之间的动态循环。在距离太阳很远的地方,包括离开的质子和电子在内的有效净电荷约为 6.3×109C,初始能量为 1 GeV。我们还根据对地球近日点偏移的观测,用另一种方法估算出从太阳到地球的空间中,最小和最大净电荷在 1.15×108C 和 2.80×1010C 之间。从太阳到地球带电最多的粒子是电子,因此月球和地球都会受到电子的影响,而且很可能具有相同的电量。接下来,我们提出了导致地球自转速度减慢的新物理机制,并提出了库仑斥力导致月球和地球之间的距离不断增加。结果,地球周围的净电荷为 1.11×106C ,月球周围的净电荷为 8.29×103C。我们的估计也与早期的研究相符。在库仑力的作用下,太阳和地球周围的电荷会使地球在径向长期加速。最后,利用太阳和地球的有效净电荷,我们计算出如果地球的初始径向速度介于 3.59×10-9m/s 和 6.12×10-9m/s 之间,平均每百年增加的距离为 11.4 米到 19.4 米,这符合观测报告。
{"title":"The additionally charged forces in the Sun-Earth and Earth-Moon systems","authors":"Ting-Han Pei","doi":"10.1016/j.actaastro.2024.10.072","DOIUrl":"10.1016/j.actaastro.2024.10.072","url":null,"abstract":"<div><div>We build a model to describe the net charges existing in the Sun and Earth. According to statistical mechanics, electrons on average move much faster than protons and neutrons at the same temperature. Electrons escape the Sun more easily than protons and neutrons, so the Sun becomes a charged star. We estimate the maximal net charges in the Sun by using statistical mechanics first. Then, we analyze the dynamical cycles between the positive and negative charged states. At a distance far away from the Sun, the effective net charges including the leaving protons and electrons are about <span><math><mrow><mn>6.3</mn><mo>×</mo><msup><mn>10</mn><mn>9</mn></msup><mspace></mspace><mi>C</mi></mrow></math></span> with energies of 1 GeV initially. We also use another way based on the observations of the Earth's perihelion precession to estimate the minimum and maximum net charges between <span><math><mrow><mn>1.15</mn><mo>×</mo><msup><mn>10</mn><mn>8</mn></msup><mspace></mspace><mi>C</mi></mrow></math></span> and <span><math><mrow><mn>2.80</mn><mo>×</mo><msup><mn>10</mn><mn>10</mn></msup><mspace></mspace><mi>C</mi></mrow></math></span> in space from the Sun to Earth. The most charged particles from the Sun to the Earth are electrons, so both the Moon and Earth are impacted by them and very possibly have the same electricity. Next, we propose new physical mechanisms causing the slowdown of the Earth's spin and propose Coulomb's repulsive force resulting in the increasing distance between the Moon and Earth. As a result, it gives the net charges of <span><math><mrow><mn>1.11</mn><mo>×</mo><msup><mn>10</mn><mn>6</mn></msup><mspace></mspace><mi>C</mi></mrow></math></span> surrounding the Earth and <span><math><mrow><mn>8.29</mn><mo>×</mo><msup><mn>10</mn><mn>3</mn></msup><mspace></mspace><mi>C</mi></mrow></math></span> surrounding the Moon. Our estimations also correspond to early works. The charges surrounding the Sun and Earth cause the Earth to be long-term accelerated in the radial direction by Coulomb's force. Finally, using the effective net charges of the Sun and Earth, we calculate the increasing distance between 11.4 <em>m</em> and 19.4 <em>m</em> on average per century if the initial radial velocities of the Earth are in between <span><math><mrow><mn>3.59</mn><mo>×</mo><msup><mn>10</mn><mrow><mo>−</mo><mn>9</mn></mrow></msup><mspace></mspace><mi>m</mi><mo>/</mo><mi>s</mi></mrow></math></span> and <span><math><mrow><mn>6.12</mn><mo>×</mo><msup><mn>10</mn><mrow><mo>−</mo><mn>9</mn></mrow></msup><mspace></mspace><mi>m</mi><mo>/</mo><mi>s</mi></mrow></math></span>, which satisfies the observed reports.</div></div>","PeriodicalId":44971,"journal":{"name":"Acta Astronautica","volume":"226 ","pages":"Pages 555-569"},"PeriodicalIF":3.1,"publicationDate":"2024-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142593299","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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Acta Astronautica
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