Equilibrium Figures of Two Liquid Masses with Synchronous Rotation. Dynamics of Double Asteroid (190166) 2005 UP156

IF 1.1 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Astronomy Reports Pub Date : 2024-10-06 DOI:10.1134/S1063772924700628
B. P. Kondratyev
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Abstract

The problem of equilibrium figures of two liquid masses in a state of tidal mutual capture is posed and solved. The condition of complete synchronous (orbital plus spin) rotation is satisfied in the system, and both bodies have the same masses and congruent ellipsoidal surfaces. For each figure, besides its own gravity and centrifugal forces, the attraction from the second body is taken into account in the tidal approximation. The spatial form of equilibrium figures as triaxial ellipsoids is found by an analytical and numerical method. The spin rotation of ellipsoidal equilibrium figures is established to occur not around small axes, as is usually assumed, but around the middle axes of the ellipsoids. This method is used to study the binary asteroid (190166) 2005 UP156, which approximately satisfies the initial conditions of the problem. The study showed that with the parameters known today, the system of two asteroids (190166) 2005 UP156 is nonequilibrium.

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同步旋转的两个液体质量的平衡图。双小行星(190166)2005 UP156 的动力学特性
提出并求解了潮汐相互俘获状态下两个液态质量的平衡数字问题。该系统满足完全同步(轨道加自旋)旋转的条件,两个物体具有相同的质量和全等的椭球面。对每个天体而言,除了自身的重力和离心力外,潮汐近似中还考虑了来自第二个天体的吸引力。通过分析和数值方法找到了作为三轴椭圆体的平衡图形的空间形式。确定了椭球平衡图形的自旋旋转不是发生在通常假定的小轴周围,而是发生在椭球的中轴周围。该方法用于研究近似满足问题初始条件的双小行星 (190166) 2005 UP156。研究表明,根据目前已知的参数,两颗小行星 (190166) 2005 UP156 的系统是非平衡的。
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来源期刊
Astronomy Reports
Astronomy Reports 地学天文-天文与天体物理
CiteScore
1.40
自引率
20.00%
发文量
57
审稿时长
6-12 weeks
期刊介绍: Astronomy Reports is an international peer reviewed journal that publishes original papers on astronomical topics, including theoretical and observational astrophysics, physics of the Sun, planetary astrophysics, radio astronomy, stellar astronomy, celestial mechanics, and astronomy methods and instrumentation.
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