Eccentricity Generation in Hierarchical Triple Systems with Non-coplanar and Initially Circular Orbits     

Nikolaos Georgakarakos 《Celestial Mechanics and Dynamical Astronomy》2004,89(1):63-82

In a previous paper, we developed a technique for estimating the inner eccentricity in coplanar hierarchical triple systems on initially circular orbits, with comparable masses and with well-separated components, based on an expansion of the rate of change of the Runge-Lenz vector. Now, the same technique is extended to non-coplanar orbits. However, it can only be applied to systems with I ₀ < 39.23° or I ₀ > 140.77°, where I is the inclination of the two orbits, because of complications arising from the so-called ‘Kozai effect’. The theoretical model is tested against results from numerical integrations of the full equations of motion. This revised version was published online in July 2006 with corrections to the Cover Date.  相似文献   

Centaurs from the Oort cloud and the origin of Jupiter-family comets     

V. V. Emel'yanenko  D. J. Asher  M. E. Bailey 《Monthly notices of the Royal Astronomical Society》2005,361(4):1345-1351

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The stability of the terrestrial planets with a more massive 'Earth'     

Áron Süli  Rudolf Dvorak  Florian Freistetter 《Monthly notices of the Royal Astronomical Society》2005,363(1):241-250

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Chaotic and stable behaviour in the Caledonian Symmetric Four-Body Problem     

A. Széll  B. Érdi  Zs. Sándor  B. Steves 《Monthly notices of the Royal Astronomical Society》2004,347(2):380-388

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天体周日视运动过程中天体高度的变化率     

毕修颖  崔照明 《广东海洋大学学报》2006,26(1):49-52

天体周日视运动过程中天体的高度不断变化，对天体观测的质量有直接的影响，通过分析天体周日视运动过程中天体高度的变化率，给出不同观测时机进行天体高度观测的特性，并用曲线图的形式给出天体高度变化率的极值点和零值点。航海人员可以从更深的层次认识天体周日视运动的规律，指导天文定位过程中对天体高度的观测。  相似文献   

受摄限制性三体问题平动点线性稳定性的判断条件及在Robe问题的应用   总被引：2，自引：2，他引：0  

舒斯会  陆本魁  陈务深  文福窑 《天文学报》2004,45(2):195-203

给出了受摄限制性三体问题平动点线性稳定性的一个判断条件．条件只与平动点切映像的特征方程系数有关，使用方便．用判断条件，讨论了Robe问题平动点在阻力摄动下的线性稳定性，得到了Hallan等给出的Robe问题平动点在阻力摄动下的线性稳定范围．并改进了Giordanoc等的结果．  相似文献   

Eccentricity generation in hierarchical triple systems with coplanar and initially circular orbits   总被引：1，自引：0，他引：1  

Nikolaos Georgakarakos 《Monthly notices of the Royal Astronomical Society》2002,337(2):559-566

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The Orbital Evolution of Two Sounding Satellites and Analysis of the Accuracy of Orbit Determination     

Gong-you Wu  Chang-yin Zhao  Rong-zhi Zhang  Jia-song Wang  Hong-bo Wang 《Chinese Astronomy and Astrophysics》2007,31(4):420-429

The satellites TC-1 and TC-2 are the two Chinese satellites with great elliptical orbits which are still in orbit around the earth at present. Since the launch the orbits of the two satellites have continuously evolved, which has a certain effect on the orbit determination and prediction precision. The regularities of the orbital evolution of the two sounding satellites are qualitatively and quantitatively analyzed. Under the current tracking mode the corresponding prediction precision of orbit determination is analyzed based on the different stages of the orbital evolution, thereby providing the basis for the adjustment of planning mode by the satellite application departments and the guarantee of normal satellite payload. Finally, the orbital lifetimes of the two satellites are predicted through the trend of the orbital evolution.  相似文献   

Mass of Mercury from observations of asteroids     

Yu. A. Chernetenko 《Astronomy Letters》2007,33(12):848-851

The Sun-to-Mercury mass ratio adopted by the International Astronomical Union (6023600 ± 250) was obtained in 1987 by analyzing Mariner 10 observations (Anderson et al. 1987) and since then has not been improved. The large number of asteroids in Mercury-approaching orbits and the ever-increasing accuracy of their observations allow the mass of Mercury to be estimated by a different method. We have improved the orbital parameters of 43 asteroids and obtained 6023440 ± 530 for the Sun-to-Mercury mass ratio through a simultaneous solution based on their optical and radar observations. A further improvement in this estimate is possible in the immediate future owing to the rapid increase in the number of known asteroids whose observations can be used to solve this problem.  相似文献   

Two-integral distribution functions for axisymmetric stellar systems with separable densities   总被引：1，自引：0，他引：1  

Zhenglu Jiang  Leonid Ossipkov 《Monthly notices of the Royal Astronomical Society》2007,382(4):1971-1981

We show different expressions of distribution functions (DFs) which depend only on the two classical integrals of the energy and the magnitude of the angular momentum with respect to the axis of symmetry for stellar systems with known axisymmetric densities. The density of the system is required to be a product of functions separable in the potential and the radial coordinates, where the functions of the radial coordinate are powers of a sum of a square of the radial coordinate and its unit scale. The even part of the two-integral DF corresponding to this type of density is in turn a sum or an infinite series of products of functions of the energy and of the magnitude of the angular momentum about the axis of symmetry. A similar expression of its odd part can be also obtained under the assumption of the rotation laws. It can be further shown that these expressions are in fact equivalent to those obtained by using Hunter & Qian's contour integral formulae for the system. This method is generally computationally preferable to the contour integral method. Two examples are given to obtain the even and odd parts of their two-integral DFs. One is for the prolate Jaffe model and the other for the prolate Plummer model.
It can be also found that the Hunter–Qian contour integral formulae of the two-integral even DF for axisymmetric systems can be recovered by use of the Laplace–Mellin integral transformation originally developed by Dejonghe.  相似文献