Motion about an oblate primary

Mohammed Ghazy; Brett Newman

Motion about an oblate primary

Mohammed Ghazy^*
, Brett Newman

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The two primary masses in the three body problem are considered as oblate spheroids. The angular velocity of the rotating coordinate system attached to the primaries is proved to be larger than in the case of point mass primaries. The motion of the third body is disturbed by the oblateness of the primaries but a first integral slightly different than the Jacobi integral equation is obtainable. Motion of a spacecraft about the larger primary is also discussed when the second primary is totally neglected.

Original language	English
Title of host publication	Spaceflight Mechanics 2010 - Advances in the Astronautical Sciences
Subtitle of host publication	Proceedings of the AAS/AIAA Space Flight Mechanics Meeting
Pages	527-546
Number of pages	20
State	Published - 2010
Externally published	Yes

Publication series

Name	Advances in the Astronautical Sciences
Volume	136
ISSN (Print)	0065-3438

ASJC Scopus subject areas

Aerospace Engineering
Space and Planetary Science

Cite this

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title = "Motion about an oblate primary",

abstract = "The two primary masses in the three body problem are considered as oblate spheroids. The angular velocity of the rotating coordinate system attached to the primaries is proved to be larger than in the case of point mass primaries. The motion of the third body is disturbed by the oblateness of the primaries but a first integral slightly different than the Jacobi integral equation is obtainable. Motion of a spacecraft about the larger primary is also discussed when the second primary is totally neglected.",

author = "Mohammed Ghazy and Brett Newman",

year = "2010",

language = "English",

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AU - Newman, Brett

PY - 2010

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N2 - The two primary masses in the three body problem are considered as oblate spheroids. The angular velocity of the rotating coordinate system attached to the primaries is proved to be larger than in the case of point mass primaries. The motion of the third body is disturbed by the oblateness of the primaries but a first integral slightly different than the Jacobi integral equation is obtainable. Motion of a spacecraft about the larger primary is also discussed when the second primary is totally neglected.

AB - The two primary masses in the three body problem are considered as oblate spheroids. The angular velocity of the rotating coordinate system attached to the primaries is proved to be larger than in the case of point mass primaries. The motion of the third body is disturbed by the oblateness of the primaries but a first integral slightly different than the Jacobi integral equation is obtainable. Motion of a spacecraft about the larger primary is also discussed when the second primary is totally neglected.

UR - https://www.scopus.com/pages/publications/80053400018

M3 - Conference contribution

AN - SCOPUS:80053400018

SN - 9780877035602

T3 - Advances in the Astronautical Sciences

SP - 527

EP - 546

BT - Spaceflight Mechanics 2010 - Advances in the Astronautical Sciences

ER -

Motion about an oblate primary

Abstract

Publication series

ASJC Scopus subject areas

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Cite this