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The current orbit of Atlas (SXV) 阿特拉斯的当前轨道(SXV)
Proceedings of the International Astronomical Union Pub Date : 2021-10-01 DOI: 10.1017/S1743921321001319
Demétrio Tadeu Ceccatto, N. Callegari, Adrián Rodríguez
{"title":"The current orbit of Atlas (SXV)","authors":"Demétrio Tadeu Ceccatto, N. Callegari, Adrián Rodríguez","doi":"10.1017/S1743921321001319","DOIUrl":"https://doi.org/10.1017/S1743921321001319","url":null,"abstract":"Abstract With the success of the Cassini-Huygens mission, the dynamic complexity surrounding natural satellites of Saturn began to be elucidated. New ephemeris could be calculated with a higher level of precision, which made it possible to study in detail the resonant phenomena and, in particular, the 54:53 near mean-motion resonance between Prometheus and Atlas. For this task, we have mapped in details the domains of the resonance with dense sets of initial conditions and distinct ranges of parameters. Our initial goal was to identify possible regions in the phase space of Atlas for which some critical angles, associated with the 54:53 mean motion have a stable libration. Our investigations revealed that there is no possibility for the current Atlas orbital configuration to have any regular behavior since it is in a chaotic region located at the boundary of the 54:53 mean-motion resonance phase space. This result is in accordance with previous works (Cooper et al. 2015; Renner et al. 2016). In this work, we generalize such investigations by showing detailed aspects of the Atlas-Prometheus 54:53 mean-motion resonance, like the extension of the chaotic layers, the thin domain of the center of the 54:53 resonance, the proximity of other neighborhood resonances, among other secondary conclusions. In particular, we have also shown that even in the deep interior of the resonance, it is difficult to map periodic motion of the resonant pair for very long time spans.","PeriodicalId":20590,"journal":{"name":"Proceedings of the International Astronomical Union","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83330464","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: 1
Planetary and lunar ephemeris EPM2021 and its significance for Solar system research 行星和月球星历EPM2021及其对太阳系研究的意义
Proceedings of the International Astronomical Union Pub Date : 2021-10-01 DOI: 10.1017/S1743921321001447
E. Pitjeva, D. Pavlov, D. Aksim, Margarita Kan
{"title":"Planetary and lunar ephemeris EPM2021 and its significance for Solar system research","authors":"E. Pitjeva, D. Pavlov, D. Aksim, Margarita Kan","doi":"10.1017/S1743921321001447","DOIUrl":"https://doi.org/10.1017/S1743921321001447","url":null,"abstract":"Abstract We present an updated public version of EPM (Ephemerides of Planets and the Moon). Since the last public version, EPM2017, many improvements were made in both the observational database and the mathematical model. Latest lunar laser ranging observations have been added, as well as radio ranges of Juno spacecraft and more recent ranges of Odyssey and Mars Reconnaissance Orbiter. EPM2021 uses a new improved way to calculate radio signal delays in solar plasma and has a major update in the method of determination of asteroid masses. Also, a delay-capable multistep numerical integrator was implemented for EPM in order to properly account for tide delay in the equations of the motion of the Moon. The improved processing accuracy has allowed to refine existing estimates of the mass of the Sun and its change rate, parameters of the Earth–Moon system, masses of the Main asteroid belt and the Kuiper belt; and also to raise important questions about existing numerical models of solar wind.","PeriodicalId":20590,"journal":{"name":"Proceedings of the International Astronomical Union","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86184420","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: 3
Four- and five-body periodic Caledonian orbits 四体和五体周期加里东轨道
Proceedings of the International Astronomical Union Pub Date : 2021-10-01 DOI: 10.1017/S1743921321001265
Valerie Chopovda, W. Sweatman
{"title":"Four- and five-body periodic Caledonian orbits","authors":"Valerie Chopovda, W. Sweatman","doi":"10.1017/S1743921321001265","DOIUrl":"https://doi.org/10.1017/S1743921321001265","url":null,"abstract":"Abstract We consider four- and five-body problems with symmetrical masses (Caledonian problems). Families of periodic orbits originate from the collinear Schubart orbits. We present and discuss some of these periodic orbits.","PeriodicalId":20590,"journal":{"name":"Proceedings of the International Astronomical Union","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81335622","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
Families of periodic orbits around asteroids: From shape symmetry to asymmetry 小行星的周期轨道族:从形状对称到不对称
Proceedings of the International Astronomical Union Pub Date : 2021-10-01 DOI: 10.1017/S174392132100123X
G. Voyatzis, D. Karydis, K. Tsiganis
{"title":"Families of periodic orbits around asteroids: From shape symmetry to asymmetry","authors":"G. Voyatzis, D. Karydis, K. Tsiganis","doi":"10.1017/S174392132100123X","DOIUrl":"https://doi.org/10.1017/S174392132100123X","url":null,"abstract":"Abstract In Karydis et al. (2021) we have introduced the method of shape continuation in order to obtain periodic orbits in the complex gravitational field of an irregularly-shaped asteroid starting from a symmetric simple model. What’s more, we map the families of periodic orbits of the simple model to families of the real asteroid model. The introduction of asymmetries in a gravitational potential may significantly affect the dynamical properties of the families. In this paper, we discuss the effect of the asymmetries in the neighborhood of vertically critical orbits, where, in the symmetric model, bifurcations of 3D periodic orbit families occur. When asymmetries are introduced, we demonstrate that two possible continuation schemes can take place in general. Numerical simulations, using an ellipsoid and a mascon model of 433-Eros, verify the existence of these schemes.","PeriodicalId":20590,"journal":{"name":"Proceedings of the International Astronomical Union","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83471940","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
Secular dynamics in extrasolar systems with two planets in mutually inclined orbits 两颗行星在相互倾斜的轨道上运行的太阳系外系统的长期动力学
Proceedings of the International Astronomical Union Pub Date : 2021-10-01 DOI: 10.1017/S1743921321001368
Rita Mastroianni, C. Efthymiopoulos
{"title":"Secular dynamics in extrasolar systems with two planets in mutually inclined orbits","authors":"Rita Mastroianni, C. Efthymiopoulos","doi":"10.1017/S1743921321001368","DOIUrl":"https://doi.org/10.1017/S1743921321001368","url":null,"abstract":"Abstract We revisit the problem of the secular dynamics in two-planet systems in which the planetary orbits exhibit a high value of the mutual inclination. We propose a ‘basic hamiltonian model’ for secular dynamics, parameterized in terms of the system’s Angular Momentum Deficit (AMD). The secular Hamiltonian can be obtained in closed form, using multipole expansions in powers of the distance ratio between the planets, or in the usual Laplace-Lagrange form. The main features of the phase space (number and stability of periodic orbits, bifurcations from the main apsidal corotation resonances, Kozai resonance etc.) can all be recovered by choosing the corresponding terms in the ‘basic Hamiltonian’. Applications include the semi-analytical determination of the actual orbital state of the system using Hamiltonian normalization techniques. An example is discussed referring to the system of two outermost planets of the ν-Andromedae system.","PeriodicalId":20590,"journal":{"name":"Proceedings of the International Astronomical Union","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84072498","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
Closed-form perturbation theory in the Sun-Jupiter restricted three body problem without relegation 太阳-木星限制三体问题的闭型微扰理论
Proceedings of the International Astronomical Union Pub Date : 2021-10-01 DOI: 10.1017/S1743921321001356
I. Cavallari, C. Efthymiopoulos
{"title":"Closed-form perturbation theory in the Sun-Jupiter restricted three body problem without relegation","authors":"I. Cavallari, C. Efthymiopoulos","doi":"10.1017/S1743921321001356","DOIUrl":"https://doi.org/10.1017/S1743921321001356","url":null,"abstract":"Abstract We present a closed-form normalization method suitable for the study of the secular dynamics of small bodies inside the trajectory of Jupiter. The method is based on a convenient use of a book-keeping parameter introduced not only in the Lie series organization but also in the Poisson bracket structure employed in all perturbative steps. In particular, we show how the above scheme leads to a redefinition of the remainder of the normal form at every step of the formal solution of the homological equation. An application is given for the semi-analytical representation of the orbits of main belt asteroids.","PeriodicalId":20590,"journal":{"name":"Proceedings of the International Astronomical Union","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89061116","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
Dynamical constraints on the evolution of the inner asteroid belt and the sources of meteorites 内小行星带演化的动力学约束与陨石来源
Proceedings of the International Astronomical Union Pub Date : 2021-10-01 DOI: 10.1017/S174392132100140X
S. Dermott, Dan Li, A. Christou
{"title":"Dynamical constraints on the evolution of the inner asteroid belt and the sources of meteorites","authors":"S. Dermott, Dan Li, A. Christou","doi":"10.1017/S174392132100140X","DOIUrl":"https://doi.org/10.1017/S174392132100140X","url":null,"abstract":"Abstract We have shown that in the inner belt the loss of asteroids from the ν6 secular resonance and the 3:1 Jovian mean motion resonance accounts for the observation that the mean size of the asteroids increases with increasing orbital inclination. We have used that observation to constrain the Yarkovsky loss timescale and to show that the family asteroids are embedded in a background population of old ghost families. We argue that all the asteroids in the inner belt originated from a small number of asteroids and that the initial mass of the belt was similar to that of the present belt. We also show that the observed size frequency distribution of the Vesta asteroid family was determined by the action of Yarkovsky forces, and that the age of this family is comparable to the age of the solar system.","PeriodicalId":20590,"journal":{"name":"Proceedings of the International Astronomical Union","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85616409","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
The semi-analytical motion theory of the third order in planetary masses for the Sun – Jupiter – Saturn – Uranus –Neptune’s system 太阳-木星-土星-天王星-海王星系统行星质量三阶半解析运动理论
Proceedings of the International Astronomical Union Pub Date : 2021-10-01 DOI: 10.1017/s1743921322000126
A. Perminov, E. Kuznetsov
{"title":"The semi-analytical motion theory of the third order in planetary masses for the Sun – Jupiter – Saturn – Uranus –Neptune’s system","authors":"A. Perminov, E. Kuznetsov","doi":"10.1017/s1743921322000126","DOIUrl":"https://doi.org/10.1017/s1743921322000126","url":null,"abstract":"Abstract The averaged four-planetary motion theory is constructed up to the third order in planetary masses. The equations of motion in averaged elements are numerically integrated for the Solar system’s giant planets for different initial conditions. The comparison of obtained results with the direct numerical integration of Newtonian equations of motion shows an excellent agreement with them. It suggests that this motion theory is constructed correctly. So, we can use this theory to investigate the dynamical evolution of various extrasolar planetary systems with moderate orbital eccentricities and inclinations.","PeriodicalId":20590,"journal":{"name":"Proceedings of the International Astronomical Union","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91204732","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
The effect of the passage of Gliese 710 on Oort cloud comets 格利泽710通过对奥尔特云彗星的影响
Proceedings of the International Astronomical Union Pub Date : 2021-10-01 DOI: 10.1017/S1743921321001381
B. Loibnegger, E. Pilat-Lohinger, Max Zimmermann, S. Clees
{"title":"The effect of the passage of Gliese 710 on Oort cloud comets","authors":"B. Loibnegger, E. Pilat-Lohinger, Max Zimmermann, S. Clees","doi":"10.1017/S1743921321001381","DOIUrl":"https://doi.org/10.1017/S1743921321001381","url":null,"abstract":"Abstract Based on observations by Bailer-Jones et al. (2018) who propose a close fly-by of the K-type star Gliese 710 in approximately 1.36 Myr we investigate the immediate influence of the stellar passage on trajectories of Oort cloud objects. Using a newly developed GPU-based N-body code (Zimmermann (2021)) we study the motion of 3.6 million testparticles in the outer Solar system where the comets are distributed in three different “layers” around the Sun and the 4 giant planets. We study the immediate influence of Gliese 710 at three passage distances of 12000, 4300, and 1200 au. Additionally, different inclinations of the approaching star are considered. Depending on the passage distance a small number of comets (mainly from the disk and flared disk) is scattered into the observable region (< 5 au) around the Sun. In addition, a huge number of comets (mainly the ones directly in the path of the passing star) shows significant changes of their perihelia. But, they will enter the inner Solar system a long time after the stellar fly-by depending on their dynamical evolution.","PeriodicalId":20590,"journal":{"name":"Proceedings of the International Astronomical Union","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91424137","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: 1
Characterization of the stability for trajectories exterior to Jupiter in the restricted three-body problem via closed-form perturbation theory 用闭型微扰理论表征受限三体问题中木星外轨道的稳定性
Proceedings of the International Astronomical Union Pub Date : 2021-10-01 DOI: 10.1017/S1743921321001253
Mattia Rossi, C. Efthymiopoulos
{"title":"Characterization of the stability for trajectories exterior to Jupiter in the restricted three-body problem via closed-form perturbation theory","authors":"Mattia Rossi, C. Efthymiopoulos","doi":"10.1017/S1743921321001253","DOIUrl":"https://doi.org/10.1017/S1743921321001253","url":null,"abstract":"Abstract We address the question of identifying the long-term (secular) stability regions in the semi-major axis-eccentricity projected phase space of the Sun-Jupiter planar circular restricted three-body problem in the domains i) below the curve of apsis equal to the planet’s orbital radius (ensuring protection from collisions) and ii) above that curve. This last domain contains several Jupiter’s crossing trajectories. We discuss the structure of the numerical stability map in the (a,e) plane in relation to manifold dynamics. We also present a closed-form perturbation theory for particles with non-crossing highly eccentric trajectories exterior to the planet’s trajectory. Starting with a multipole expansion of the barycentric Hamiltonian, our method carries out a sequence of normalizations by Lie series in closed-form and without relegation. We discuss the applicability of the method as a criterion for estimating the boundary of the domain of regular motion.","PeriodicalId":20590,"journal":{"name":"Proceedings of the International Astronomical Union","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84888548","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: 1
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