Collision and Stable Regions around Bodies with Simple Geometric Shape
Joint Authors
Winter, Othon Cabo
Silva, A. A.
de Almeida Prado, Antonio Fernando Bertachini
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-01-31
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We show the expressions of the gravitational potential of homogeneous bodies with well-defined simple geometric shapes to study the phase space of trajectories around these bodies.
The potentials of the rectangular and triangular plates are presented.
With these expressions we study the phase space of trajectories of a point of mass around the plates, using the Poincaré surface of section technique.
We determined the location and the size of the stable and collision regions in the phase space, and the identification of some resonances.
This work is the first and an important step for others studies, considering 3D bodies.
The study of the behavior of a point of mass orbiting around these plates (2D), near their corners, can be used as a parameter to understand the influence of the gravitational potential when the particle is close to an irregular surface, such as large craters and ridges.
American Psychological Association (APA)
Silva, A. A.& Winter, Othon Cabo& de Almeida Prado, Antonio Fernando Bertachini. 2010. Collision and Stable Regions around Bodies with Simple Geometric Shape. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-14.
https://search.emarefa.net/detail/BIM-468828
Modern Language Association (MLA)
Silva, A. A.…[et al.]. Collision and Stable Regions around Bodies with Simple Geometric Shape. Mathematical Problems in Engineering No. 2009 (2009), pp.1-14.
https://search.emarefa.net/detail/BIM-468828
American Medical Association (AMA)
Silva, A. A.& Winter, Othon Cabo& de Almeida Prado, Antonio Fernando Bertachini. Collision and Stable Regions around Bodies with Simple Geometric Shape. Mathematical Problems in Engineering. 2010. Vol. 2009, no. 2009, pp.1-14.
https://search.emarefa.net/detail/BIM-468828
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-468828