Homoclinic and heteroclinic orbits in the photogravitational restricted three-body problem     

K. E. Papadakis 《Astrophysics and Space Science》2006,302(1-4):67-82

We study numerically the asymptotic homoclinic and heteroclinic orbits around the hyperbolic Lyapunov periodic orbits which emanate from Euler's critical points L ₁ and L ₂, in the photogravitational restricted plane circular three-body problem. The invariant stable-unstable manifolds associated to these Lyapunov orbits, are also presented. Poincaré surface of sections of these manifolds on appropriate planes and several homoclinic and heteroclinic orbits for the gravitational case as well as for varying radiation factor q ₁, are displayed. Homoclinic-homoclinic and homoclinic-heteroclinic-homoclinic chains which link the interior with the exterior Hill's regions, are illustrated. We adopt the Sun-Jupiter system and assume that only the larger primary radiates. It is found that for small deviations of its value from the gravitational case (q ₁ = 1), the radiation pressure exerts a significant impact on the Hill's regions and on these asymptotic orbits.  相似文献   

UAVRS影像空中三角测量实验研究   总被引：5，自引：0，他引：5  

王聪华  林宗坚 《测绘科学》2007,32(4):41-43

无人飞行器低空遥感系统(UAV Low Altitude Remote Sensing System简称UAVRS系统)适合于在阴云山区低空获取高分辨率垂直和倾斜影像,但获取的影像存在像幅小、数量多、基线短、重叠度不规则且倾角过大等问题,而这些问题,都是国内外现有的数字摄影测量系统面临的新问题。本文提出以带权观测值光束法平差解决UAVRS复杂影像区域网的空中三角测量问题的方法。其技术要点在于,从提高单模型定向的精度出发,以单模型定向元素为基础构建自由区域网,为带权观测值光束法平差提供有效初值。经试验表明,空三加密点的平面精度为0.386m,高程精度为0.525m,基本能达到1∶2000地形图测图的要求。  相似文献   

Neighbourhoods of isolated star forming dwarf galaxies     

Noah Brosch  Carmiya Bar-Or  Doron Malka 《Monthly notices of the Royal Astronomical Society》2006,368(2):864-876

We report the discovery of small groups of uncatalogued, compact, star forming (SF) dwarf galaxies (DGs) by Hα mapping of the neighbourhoods of apparently isolated, catalogued, SF DGs. Our sample consists of dwarf  ( M ≥−18 mag)  galaxies at least 2 Mpc away from any other catalogued galaxy. The galaxies were selected to exhibit Hα emission of any intensity, i.e. not selecting only strong starbursts, as an indicator of recent or on-going star formation with the goal of understanding why are they presently forming stars. We identified possible neighbours by imaging the galaxies and their surroundings through Hα filters centred at or near the redshift of the galaxy, and searching for localized Hα emission with the characteristics of the line emission from the sample galaxies.
We identified 20 possible SF neighbour galaxies, 17 of them not previously catalogued, in three of the five search fields where we had good quality data, and present here their positions and, images and morphology, as well as some indications of binarity. The relatively large number of possible neighbour candidates, combined with their relative faintness, argue that it would be virtually impossible to identify truly isolated galaxies. It seems that the objects we selected as extremely isolated are probably the brightest members of sparse groups of galaxies, where the other members are also DGs that are presently forming stars. In order to enhance the confidence of this statement regular redshifts are required for our candidate neighbours.  相似文献   

Numerical Determination of Homoclinic and Heteroclinic Orbits at Collinear Equilibria in the Restricted Three-Body Problem with Oblateness     

V. S. Kalantonis  C. N. Douskos  E. A. Perdios 《Celestial Mechanics and Dynamical Astronomy》2006,94(2):135-153

Asymptotic motion to collinear equilibrium points of the restricted three-body problem with oblateness is considered. In particular, homoclinic and heteroclinic solutions to these points are computed. These solutions depart asymptotically from an equilibrium point and arrive asymptotically at the same or another equilibrium point and are important reference solutions. To compute an asymptotic orbit, we use a fourth order local analysis, numerical integration and standard differential corrections.  相似文献   

Numerical continuation of families of frozen orbits in the zonal problem of artificial satellite theory     

Martín Lara  André Deprit  Antonio Elipe 《Celestial Mechanics and Dynamical Astronomy》1995,62(2):167-181

In the zonal problem of a satellite around the Earth, we continue numerically natural families of periodic orbits with the polar component of the angular momentum as the parameter. We found three families; two of them are made of orbits with linear stability while the third one is made of unstable orbits. Except in a neighborhood of the critical inclination, the stable periodic (or frozen) orbits have very small eccentricities even for large inclinations.  相似文献   

Spatial Structure of Regular and Chaotic Orbits in A Self-Consistent Triaxial Stellar System     

J. C. Muzzio  D. D. Carpintero  F. C. Wachlin 《Celestial Mechanics and Dynamical Astronomy》2005,91(1-2):173-190

We created a triaxial stellar system through the cold dissipationless collapse of 100,000 particles whose evolution was followed with a multipolar code. Once an equilibrium system had been obtained, the multipolar expansion was freezed and smoothed in order to get a stationary smooth potential. The resulting model was self-consistent and the orbits and Lyapunov exponents could then be computed for a randomly selected sample of 3472 of the bodies that make up the system. More than half of the orbits (52.7 % ) turned out to be chaotic. Regular orbits were then classified using the frequency analysis automatic code of Carpintero and Aguilar (1998, MNRAS 298(1), 1–21). We present plots of the distributions of the different kinds of orbits projected on the symmetry planes of the system. We distinguish chaotic orbits with only one non-zero Lyapunov exponent from those with two non-zero exponents and show that their spatial distributions differ, that of the former being more similar to the one of the regular orbits. Most of the regular orbits are boxes and boxlets, but the minor axis tubes play an important role filling in the wasp waists of the boxes and helping to give a lentil shape to the system. We see no problem in building stable triaxial models with substantial amounts of chaotic orbits; the difficulties found by other authors may be due not to a physical cause but to a limitation of Schwarzschild’s method.  相似文献   

On the variational approach to the periodic n-body problem     

S. Terracini 《Celestial Mechanics and Dynamical Astronomy》2006,95(1-4):3-25

This expository paper gathers some of the results obtained by the author in recent works in collaboration with Davide Ferrario and Vivina Barutello, focusing on the periodic n-body problem from the perspective of the calculus of variations and minimax theory. These researches were aimed at developing a systematic variational approach to the equivariant periodic n-body problem in the two and three-dimensional space. The purpose of this paper is to expose the main problems and achievements of this approach. The material here was exposed in the talk that given at the Meeting CELMEC IV promoted by SIMCA (Società italiana di Meccanica Celeste).  相似文献   

On Motions Near the Lagrange Equilibrium Point L 4 in the Case of Routh's Critical Mass Ratio     

Boris Bardin 《Celestial Mechanics and Dynamical Astronomy》2002,82(2):163-177

We deal with the planar restricted circular problem of three bodies. We study trajectories in a small neighborhood of the Lagrange equilibrium point L ₄ when mass ratio is close to Routh's value. In particular, we show that the case of proper degeneracy takes place and for most initial conditions trajectories are conditionally-periodic. We obtain an approximate representation of families of periodic solution emanating from the equilibrium point L ₄. We also show that in the case of instability of L ₄ the trajectories starting in a vicinity of L ₄ remain in a finite domain forever. We give an upper bound of this domain. To carry out our investigation, we analyze the dynamics of a general Hamiltonian system with two degrees of freedom in the case of 1 : 1 resonance in detail.This revised version was published online in October 2005 with corrections to the Cover Date.  相似文献   

Morphological studies of the Spitzer Wide-Area Infrared Extragalactic survey galaxy population in the UGC 10214 Hubble Space Telescope/Advanced Camera for Surveys field     

E. Hatziminaoglou  P. Cassata  G. Rodighiero  I. Pérez-Fournon  A. Franceschini  A. Hernán-Caballero  F. M. Montenegro-Montes  A. Afonso-Luis  T. Jarrett  G. Stacey  C. Lonsdale  F. Fang  S. Oliver  M. Rowan-Robinson  D. Shupe  H. E. Smith  J. Surace  C. K. Xu  E. A. González-Solares 《Monthly notices of the Royal Astronomical Society》2005,364(1):47-58

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Strong triple interactions in the general three-body problem     

Joanna P. Anosova 《Celestial Mechanics and Dynamical Astronomy》1991,51(1):1-15

Strong three-body interactions play a decisive role in the course of the dynamical evolution of triple systems having positive as well as negative total energies. These interactions may produce qualitative changes in the relative motions of the components. In triple systems with positive or zero total energies the processes of formation, disruption or exchange of the components of binaries take place as the result of close approaches of the three single bodies or as the result of the passages of single bodies past wide or hard binaries. In the triple systems with negative energies, the strong triple interactions may result in an escape from the system as well as a formation of a hard final binary. This paper summarizes the general results of the studies of the strong three-body interactions in the triple systems with positive and negative energies. These studies were conducted at the Leningrad University Observatory by computer simulations during 1968–1989.  相似文献