Celestial mechanics and dynamical astronomy最新文献_第4页

Image classification of retrograde resonance in the planar circular restricted three-body problem 平面圆形受限三体问题中逆行共振的图像分类

Celestial mechanics and dynamical astronomy Pub Date : 2024-03-13 DOI: 10.1007/s10569-024-10181-8

{"title":"Image classification of retrograde resonance in the planar circular restricted three-body problem","authors":"","doi":"10.1007/s10569-024-10181-8","DOIUrl":"https://doi.org/10.1007/s10569-024-10181-8","url":null,"abstract":"<h3>Abstract</h3> The study of resonances in celestial mechanics is crucial for understanding the dynamics of planetary or stellar systems. This study focuses on presenting a method for investigating the topology and resonant structures of a dynamical system. To illustrate the strength of the method, we have applied our method to retrograde resonances in the planar circular restricted three-body problem within binary star systems. Because of the high mass ratio systems, the techniques based on perturbation of the two-body orbit are not the ideal to analyze the system. Consequently, resonant angles could be meaningless, necessitating alternative methods for resonance identification. To address this challenge, an image classification-based machine learning model is implemented to identify resonances based on the shape of orbits in the rotating frame. Initially, the model is trained on empirical cases with low mass ratios using the resonant angle as a starting point for resonance identification. The model’s performance is validated against existing literature results. The model results demonstrate successful classification and identification of retrograde resonances in both empirical and non-empirical cases. The model accurately captures the resonance patterns and provides initial insights into the short-term stability of the corresponding resonances.","PeriodicalId":72537,"journal":{"name":"Celestial mechanics and dynamical astronomy","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140125566","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Circular restricted full three-body problem with rigid-body spacecraft dynamics in binary asteroid systems 双小行星系统中带有刚体航天器动力学的圆形受限全三体问题

Celestial mechanics and dynamical astronomy Pub Date : 2024-02-26 DOI: 10.1007/s10569-024-10180-9

Brennan McCann, Annika Anderson, Morad Nazari, David Canales

{"title":"Circular restricted full three-body problem with rigid-body spacecraft dynamics in binary asteroid systems","authors":"Brennan McCann, Annika Anderson, Morad Nazari, David Canales","doi":"10.1007/s10569-024-10180-9","DOIUrl":"https://doi.org/10.1007/s10569-024-10180-9","url":null,"abstract":"Coupling between the rotational and translational motion of a rigid body can have a profound effect on spacecraft motion in complex dynamical environments. While there is a substantial amount of study of rigid-body coupling in a non-uniform gravitational field, the spacecraft is often considered as a point-mass vehicle. By contrast, the full-N body problem (FNBP) evaluates the mutual gravitational potential of the rigid-body celestial objects and any other body, such as a spacecraft, under their influence and treats all bodies, including the spacecraft, as a rigid body. Furthermore, the perturbing effects of the FNBP become more pronounced as the celestial bodies become smaller and/or more significantly aspherical. Utilizing the comprehensive framework of dynamics and gravitational influences within the FNBP, this research investigates the dynamics of spacecraft modeled as rigid bodies in binary systems characterized by nearly circular mutual orbits. The paper presents an examination of the perturbation effects that arise in this circular restricted full three-body problem (CRF3BP), aiming to assess and validate the extent of these effects on the spacecraft’s overall motion. Numerical results provided for spacecraft motion in the CRF3BP in a binary asteroid system demonstrate non-negligible trajectory divergence when utilizing rigid-body versus point mass spacecraft models. These results also investigate the effects of shape and inertia tensors of the bodies and solar radiation pressure in those models.","PeriodicalId":72537,"journal":{"name":"Celestial mechanics and dynamical astronomy","volume":"142 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139969017","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Automated tour design in the Saturnian system 土星系统中的自动游览设计

Celestial mechanics and dynamical astronomy Pub Date : 2024-02-14 DOI: 10.1007/s10569-023-10179-8

Yuji Takubo, Damon Landau, Brian Anderson

引用次数: 0

Three-body periodic collisionless equal-mass free-fall orbits revisited 再论三体周期性无碰撞等质量自由落体轨道

Celestial mechanics and dynamical astronomy Pub Date : 2024-02-12 DOI: 10.1007/s10569-023-10177-w

Ivan Hristov, Radoslava Hristova, Veljko Dmitrašinović, Kiyotaka Tanikawa

引用次数: 0

Assessment of dynamical models for transitioning from the Circular Restricted Three-Body Problem to an ephemeris model with applications 评估从循环受限三体问题过渡到星历模型的动力学模型及其应用

Celestial mechanics and dynamical astronomy Pub Date : 2024-02-07 DOI: 10.1007/s10569-023-10178-9

Beom Park, Kathleen C. Howell

引用次数: 0

Improved alpha shape-based continuum method for long-term density propagation 改进的基于阿尔法形状的连续方法，用于长期密度传播

Celestial mechanics and dynamical astronomy Pub Date : 2024-02-06 DOI: 10.1007/s10569-023-10171-2

Pan Sun, Shuang Li, Mirko Trisolini, Camilla Colombo

{"title":"Improved alpha shape-based continuum method for long-term density propagation","authors":"Pan Sun, Shuang Li, Mirko Trisolini, Camilla Colombo","doi":"10.1007/s10569-023-10171-2","DOIUrl":"https://doi.org/10.1007/s10569-023-10171-2","url":null,"abstract":"This paper presents an improved alpha shape-based linear interpolation method, and an improved binning method within the continuum method framework for accurate and efficient planar phase space long-term density propagation. The density evolution equation is formulated for the continuum density propagation under the influence of the solar radiation pressure and Earth’s oblateness using semi-analytical equations. The concept of the alpha shape is included to get accurate interpolated density within the non-convex hull enclosing all the samples for the highly deformed and elongated density distribution. The improved binning method increases the density accuracy by considering the variant nonlinearity of the density within each alpha shape triangulation, which calculates the joint and marginal density as the weighted sum of density weights per bin area and per bin width, respectively. The suitable sample number for the continuum method and the suitable grid number for performing the linear interpolation are selected by trading off the density accuracy and the computational effort. The superiority of the improved alpha shape-based continuum method is demonstrated for accurate and efficient density propagation in the context of the high-altitude and high area-to-mass ratio satellite long-term propagation.","PeriodicalId":72537,"journal":{"name":"Celestial mechanics and dynamical astronomy","volume":"2 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139764130","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Measurement of three-body chaotic absorptivity predicts chaotic outcome distribution 测量三体混沌吸收率可预测混沌结果分布

Celestial mechanics and dynamical astronomy Pub Date : 2024-02-02 DOI: 10.1007/s10569-023-10174-z

Viraj Manwadkar, Alessandro A. Trani, Barak Kol

引用次数: 0

The capture probability of Dawn into ground-track resonances with Vesta 黎明号与灶神星地面轨道共振的捕获概率

Celestial mechanics and dynamical astronomy Pub Date : 2023-12-19 DOI: 10.1007/s10569-023-10175-y

Wail Boumchita, Jinglang Feng

{"title":"The capture probability of Dawn into ground-track resonances with Vesta","authors":"Wail Boumchita, Jinglang Feng","doi":"10.1007/s10569-023-10175-y","DOIUrl":"https://doi.org/10.1007/s10569-023-10175-y","url":null,"abstract":"The Dawn spacecraft approached the asteroid Vesta and descended from a high-altitude mission orbit to a low-altitude mission orbit using low-thrust propulsion. During this descent, the spacecraft crossed the 2:3 and 1:1 ground-track resonances with Vesta, which posed a risk of capture that might strongly perturb the spacecraft’s orbit. This study analyzes the effects of these resonances on the spacecraft’s orbital elements and estimates the probability of capture into it through Monte Carlo simulations. Specifically, a comprehensive investigation is performed to assess the effects of 1:1 and 2:3 ground-track resonances on the semimajor axis, eccentricity, and inclination. The dynamical model includes the gravitational field of Vesta using a spherical harmonics approximation up to the fourth degree and order and the low-thrust acceleration that is assumed to be opposite to the spacecraft’s velocity vector direction. It is observed that the eccentricity evolution is mostly influenced by the 2:3 ground-track resonance which results in a large variation when the spacecraft crosses that ground-track resonance, while the semimajor axis and inclination are mostly influenced by the 1:1 ground-track resonance. Then, the probability of capture into 1:1 ground-track resonance is found to have a negative correlation with the spacecraft’s thrust magnitude and the probability of capture into 2:3 ground-track resonance is found to arise as the spacecraft’s mass increases. It is found that for circular orbits below a certain inclination value the spacecraft’s trajectory is subject to the “automatic entry into libration” phenomenon, due to the singularity in the Hamiltonian function. This research contributes to the design of successful transfer strategies when crossing resonance for future missions.","PeriodicalId":72537,"journal":{"name":"Celestial mechanics and dynamical astronomy","volume":"6 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138741273","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Kepler equation solution without transcendental functions or lookup tables 无需超越函数或查找表的开普勒方程解法

Celestial mechanics and dynamical astronomy Pub Date : 2023-12-18 DOI: 10.1007/s10569-023-10176-x

Adonis R. Pimienta-Penalver, John L. Crassidis

引用次数: 0

Constrained evolution of Hamiltonian phase space distributions in the presence of natural: non-conservative forces 存在自然：非守恒力时哈密顿相空间分布的受限演化

Celestial mechanics and dynamical astronomy Pub Date : 2023-12-16 DOI: 10.1007/s10569-023-10172-1

Oliver Boodram, Daniel Scheeres

引用次数: 0