Hill stability of the satellites in coplanar four-body problem

Shengping Gong; Chao Liu

doi:10.1093/mnras/stw1556

Hill stability of the satellites in coplanar four-body problem

Shengping Gong^*
, Chao Liu

^*Corresponding author for this work

Tsinghua University

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We consider a four-body system, where three bodies, constituting a subsystem, orbit around a larger body. This paper is devoted to study the Hill stability of the subsystem using a coplanar four-body problem. Starting from the equation of zero-velocity surface for the general coplanar four-body problem, we derive two criteria of Hill stability, one of which is similar to the criterion of Hill stability in the three-body problem. These criteria are used to judge the Hill stability of the Sun-Jupiter-Ganymede-Callisto system.

Original language	English
Pages (from-to)	547-553
Number of pages	7
Journal	Monthly Notices of the Royal Astronomical Society
Volume	462
Issue number	1
DOIs	https://doi.org/10.1093/mnras/stw1556
State	Published - 11 Oct 2016
Externally published	Yes

Keywords

Celestial mechanics
Galaxies: kinematics and dynamics
Methods: analytical
Methods: numerical
Planets and satellites: dynamical evolution and stability
Stars: kinematics and dynamics

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10.1093/mnras/stw1556

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title = "Hill stability of the satellites in coplanar four-body problem",

abstract = "We consider a four-body system, where three bodies, constituting a subsystem, orbit around a larger body. This paper is devoted to study the Hill stability of the subsystem using a coplanar four-body problem. Starting from the equation of zero-velocity surface for the general coplanar four-body problem, we derive two criteria of Hill stability, one of which is similar to the criterion of Hill stability in the three-body problem. These criteria are used to judge the Hill stability of the Sun-Jupiter-Ganymede-Callisto system.",

keywords = "Celestial mechanics, Galaxies: kinematics and dynamics, Methods: analytical, Methods: numerical, Planets and satellites: dynamical evolution and stability, Stars: kinematics and dynamics",

author = "Shengping Gong and Chao Liu",

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doi = "10.1093/mnras/stw1556",

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T1 - Hill stability of the satellites in coplanar four-body problem

AU - Gong, Shengping

AU - Liu, Chao

PY - 2016/10/11

Y1 - 2016/10/11

N2 - We consider a four-body system, where three bodies, constituting a subsystem, orbit around a larger body. This paper is devoted to study the Hill stability of the subsystem using a coplanar four-body problem. Starting from the equation of zero-velocity surface for the general coplanar four-body problem, we derive two criteria of Hill stability, one of which is similar to the criterion of Hill stability in the three-body problem. These criteria are used to judge the Hill stability of the Sun-Jupiter-Ganymede-Callisto system.

AB - We consider a four-body system, where three bodies, constituting a subsystem, orbit around a larger body. This paper is devoted to study the Hill stability of the subsystem using a coplanar four-body problem. Starting from the equation of zero-velocity surface for the general coplanar four-body problem, we derive two criteria of Hill stability, one of which is similar to the criterion of Hill stability in the three-body problem. These criteria are used to judge the Hill stability of the Sun-Jupiter-Ganymede-Callisto system.

KW - Celestial mechanics

KW - Galaxies: kinematics and dynamics

KW - Methods: analytical

KW - Methods: numerical

KW - Planets and satellites: dynamical evolution and stability

KW - Stars: kinematics and dynamics

UR - https://www.scopus.com/pages/publications/84988695197

U2 - 10.1093/mnras/stw1556

DO - 10.1093/mnras/stw1556

M3 - 文章

AN - SCOPUS:84988695197

SN - 0035-8711

VL - 462

SP - 547

EP - 553

JO - Monthly Notices of the Royal Astronomical Society

JF - Monthly Notices of the Royal Astronomical Society

IS - 1

ER -

Hill stability of the satellites in coplanar four-body problem

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Keywords

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