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Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 126521, 15 pages
Research Article

Evasive Maneuvers in Space Debris Environment and Technological Parameters

1DFIS-Feira de Santana, Departamento de Física, Universidade Estadual de Feira de Santana, 44.036-900 Feira de Santana, BA, Brazil
2ISTI-CNR and IFAC-CNR, Via Madonna del Piano 10, 50019 Sesto Fiorentino, Italy
3Departamento de Matemática, Faculdade de Engenharia de Guaratinguetá, Universidade Estadual Paulista, 12.516-410 Guaratinguetá, SP, Brazil

Received 1 June 2012; Revised 21 August 2012; Accepted 31 August 2012

Academic Editor: Xu Zhang

Copyright © 2012 Antônio D. C. Jesus et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We present a study of collisional dynamics between space debris and an operational vehicle in LEO. We adopted an approach based on the relative dynamics between the objects on a collisional course and with a short warning time and established a semianalytical solution for the final trajectories of these objects. Our results show that there are angular ranges in 3D, in addition to the initial conditions, that favor the collisions. These results allowed the investigation of a range of technological parameters for the spacecraft (e.g., fuel reserve) that allow a safe evasive maneuver (e.g., time available for the maneuver). The numerical model was tested for different values of the impact velocity and relative distance between the approaching objects.