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小天体环的轨道动力学

吴太泷 王悦

吴太泷, 王悦. 小天体环的轨道动力学[J]. 北京航空航天大学学报, 2022, 48(7): 1287-1296. doi: 10.13700/j.bh.1001-5965.2021.0003
引用本文: 吴太泷, 王悦. 小天体环的轨道动力学[J]. 北京航空航天大学学报, 2022, 48(7): 1287-1296. doi: 10.13700/j.bh.1001-5965.2021.0003
WU Tailong, WANG Yue. Orbital dynamics of rings of small bodies[J]. Journal of Beijing University of Aeronautics and Astronautics, 2022, 48(7): 1287-1296. doi: 10.13700/j.bh.1001-5965.2021.0003(in Chinese)
Citation: WU Tailong, WANG Yue. Orbital dynamics of rings of small bodies[J]. Journal of Beijing University of Aeronautics and Astronautics, 2022, 48(7): 1287-1296. doi: 10.13700/j.bh.1001-5965.2021.0003(in Chinese)

小天体环的轨道动力学

doi: 10.13700/j.bh.1001-5965.2021.0003
基金项目: 

国家自然科学基金 11872007

中央高校基本科研业务费专项资金 

详细信息
    通讯作者:

    王悦, E-mail: ywang@buaa.edu.cn

  • 中图分类号: V412.4+1

Orbital dynamics of rings of small bodies

Funds: 

National Natural Science Foundation of China 11872007

the Fundamental Research Funds for the Central Universities 

More Information
  • 摘要:

    随着天文观测的深入,发现不仅土星、木星等气态巨行星环绕有光环,某些小天体也环绕有光环。针对目前发现环的半人马型小天体女凯龙星(10199 Chariklo),研究其引力场中粒子(视为质点)的轨道动力学,分析赤道椭率和小天体自转对环中粒子轨道运动的影响,通过庞加莱截面中的KAM环迭代,得到第一类周期轨道和1∶3共振周期轨道,并通过对比和分析得到小天体光环位置与小天体自转平运动共振的关系。研究结果表明:女凯龙星内环中的粒子最可能处在满足径向振荡幅值范围的第一类周期轨道及其附近的准周期轨道上,但不能排除处在1∶3共振周期轨道及其附近的准周期轨道上;外环中的粒子不可能处在1∶3共振周期轨道上,只可能处在第一类周期轨道及其附近的准周期轨道上。

     

  • 图 1  固连坐标系和惯性坐标系

    Figure 1.  Body-fixed frame and inertial frame

    图 2  粒子在固连坐标系oxy平面内的运动及庞加莱截面

    Figure 2.  Motion of particles in oxy plane of body-fixed frame and Poincaré section

    图 3  庞加莱截面的相图

    Figure 3.  Phase diagram of Poincaré section

    图 4  1∶3共振周期轨道在固连坐标系中的形状

    (C=7 472 m2/s2)

    Figure 4.  Shape of 1∶3 resonant periodic orbits in body-fixed frame (C=7 472 m2/s2)

    图 5  1∶3共振周期轨道在惯性坐标系中的形状

    (C=7 472 m2/s2)

    Figure 5.  Shape of 1∶3 resonant periodic orbits in inertial frame (C=7 472 m2/s2)

    图 6  1∶3共振周期轨道在3年内的轨迹

    (C=7 472 m2/s2)

    Figure 6.  Trajectory in 3 years of 1∶3 resonant periodic orbits (C=7 472 m2/s2)

    图 7  不同C下的1∶3共振周期轨道

    Figure 7.  1∶3 resonant periodic orbits with different Jacobi constants

    图 8  第一类周期轨道在固连坐标系中的形状

    (C=7 472 m2/s2)

    Figure 8.  Shape of the first kind of periodic orbits in body-fixed frame (C=7 472 m2/s2)

    图 9  第一类周期轨道在惯性坐标系中的形状

    (C=7 472 m2/s2)

    Figure 9.  Shape of the first kind of periodic orbits in inertial frame (C=7 472 m2/s2)

    图 10  两类周期轨道的周期随C的变化

    Figure 10.  Change of period with C of two kinds of periodic orbits

    图 11  两类周期轨道的轨道半径rC的变化

    Figure 11.  Change of orbit radius r with C of two kinds of periodic orbits

    图 12  aeqeeq的定义示意图

    Figure 12.  Schematic diagram for definition of aeq and eeq

    图 13  两类周期轨道和女凯龙星环的aeq-eeq

    Figure 13.  aeq-eeq map of two kinds of periodic orbits and 10199 Chariklo's rings

    图 14  极限范围内2类周期轨道在惯性坐标系中的对比

    Figure 14.  Comparison of two kinds of periodic orbits in limit range in the inertial frame

    表  1  女凯龙星及其环的参数和估算出的2∶6共振位置

    Table  1.   Parameters of 10199 Chariklo and its rings and estimated 2∶6 resonance position

    参数 数值
    a/km 157
    b/km 139
    c/km 86
    参考半径Re/km 123.349 6
    质量M/kg 6.3×1018
    自转周期T/h 7.004
    椭率ε 0.175 1
    扁率f 0.479 4
    环中心位置/km CR1:390.6±3.3, CR2:404.8±3.3
    环宽/km CR1:7,CR2:3
    2∶6共振位置/km 392.22
    下载: 导出CSV
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    WU X J, WANG Y, XU S J. Periodic quasi-satellite orbits around Phobos and their injections[J]. Journal of Beijing University of Aeronautics and Astronautics, 2020, 46(6): 1133-1141(in Chinese). doi: 10.13700/j.bh.1001-5965.2019.0391
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出版历程
  • 收稿日期:  2021-01-05
  • 录用日期:  2021-03-28
  • 刊出日期:  2021-04-26

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