The Study of the Asymmetric Multiple Encounters Problem and Its Application to Obtain Jupiter Gravity Assisted Maneuvers
Joint Authors
Rocco, Evandro Marconi
dos Santos, Denilson Paulo Souza
de Almeida Prado, Antonio Fernando Bertachini
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-20
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The Multiple Encounters Problem is described in the literature as the problem of finding trajectories for a spacecraft that leaves from a mother planet, describes a trajectory in the interplanetary space, and then goes back to the mother planet.
The present paper extends the literature and the departure and arrival angles of the spacecraft are generalized to be nonsymmetrical.
The solutions are shown in terms of the true (ν) and eccentric anomaly (η).
The velocity variation (Δ V) required for the transfer is also shown.
Then, this study is generalized to consider the possibility that the spacecraft makes a close approach with the mother planet to change its energy in the return trip.
The velocity (Δ V) and energy variation (Δ E) due to this passage are obtained.
The topics studied here can be applied in missions that leave and come back to the Earth, with the goal of studying the interplanetary space, as well as for missions whose objective is to make an alteration in the energy of the space vehicle through a swing-by with the mother body.
American Psychological Association (APA)
dos Santos, Denilson Paulo Souza& de Almeida Prado, Antonio Fernando Bertachini& Rocco, Evandro Marconi. 2013. The Study of the Asymmetric Multiple Encounters Problem and Its Application to Obtain Jupiter Gravity Assisted Maneuvers. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1010582
Modern Language Association (MLA)
dos Santos, Denilson Paulo Souza…[et al.]. The Study of the Asymmetric Multiple Encounters Problem and Its Application to Obtain Jupiter Gravity Assisted Maneuvers. Mathematical Problems in Engineering No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-1010582
American Medical Association (AMA)
dos Santos, Denilson Paulo Souza& de Almeida Prado, Antonio Fernando Bertachini& Rocco, Evandro Marconi. The Study of the Asymmetric Multiple Encounters Problem and Its Application to Obtain Jupiter Gravity Assisted Maneuvers. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1010582
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1010582