Numerical determination of stability regions for orbital motion in uniformly rotating second degree and order gravity fields

W. Hu; D. J. Scheeres

doi:10.1016/j.pss.2004.01.003

Numerical determination of stability regions for orbital motion in uniformly rotating second degree and order gravity fields

W. Hu
, D. J. Scheeres^*

^*此作品的通讯作者

University of Michigan, Ann Arbor

科研成果: 期刊稿件 › 文章 › 同行评审

109 引用（Scopus）

摘要

The stability of orbital motion about a uniformly rotating arbitrary second degree and order gravity field is investigated. A normalized form of the equations of motion are derived and analyzed. A numerical stability criteria is proposed and used to evaluate the stability of initially near-circular orbits in the equatorial plane of the body. Regions of stable and unstable motion are clearly delineated, and are seen to be strongly related to resonances between the mean motion and the body rotation rate.

源语言	英语
页（从-至）	685-692
页数	8
期刊	Planetary and Space Science
卷	52
期	8
DOI	https://doi.org/10.1016/j.pss.2004.01.003
出版状态	已出版 - 7月 2004
已对外发布	是

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title = "Numerical determination of stability regions for orbital motion in uniformly rotating second degree and order gravity fields",

abstract = "The stability of orbital motion about a uniformly rotating arbitrary second degree and order gravity field is investigated. A normalized form of the equations of motion are derived and analyzed. A numerical stability criteria is proposed and used to evaluate the stability of initially near-circular orbits in the equatorial plane of the body. Regions of stable and unstable motion are clearly delineated, and are seen to be strongly related to resonances between the mean motion and the body rotation rate.",

keywords = "Asteroids, Orbital dynamics, Stability",

author = "W. Hu and Scheeres, \{D. J.\}",

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AU - Scheeres, D. J.

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N2 - The stability of orbital motion about a uniformly rotating arbitrary second degree and order gravity field is investigated. A normalized form of the equations of motion are derived and analyzed. A numerical stability criteria is proposed and used to evaluate the stability of initially near-circular orbits in the equatorial plane of the body. Regions of stable and unstable motion are clearly delineated, and are seen to be strongly related to resonances between the mean motion and the body rotation rate.

AB - The stability of orbital motion about a uniformly rotating arbitrary second degree and order gravity field is investigated. A normalized form of the equations of motion are derived and analyzed. A numerical stability criteria is proposed and used to evaluate the stability of initially near-circular orbits in the equatorial plane of the body. Regions of stable and unstable motion are clearly delineated, and are seen to be strongly related to resonances between the mean motion and the body rotation rate.

KW - Asteroids

KW - Orbital dynamics

KW - Stability

UR - https://www.scopus.com/pages/publications/2342507675

U2 - 10.1016/j.pss.2004.01.003

DO - 10.1016/j.pss.2004.01.003

M3 - 文章

AN - SCOPUS:2342507675

SN - 0032-0633

VL - 52

SP - 685

EP - 692

JO - Planetary and Space Science

JF - Planetary and Space Science

IS - 8

ER -

Numerical determination of stability regions for orbital motion in uniformly rotating second degree and order gravity fields

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