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Optimal Trajectory Synthesis for Spacecraft Asteroid Rendezvous
- Source :
- Symmetry; Volume 13; Issue 8; Pages: 1403, Symmetry, Vol 13, Iss 1403, p 1403 (2021)
- Publication Year :
- 2021
- Publisher :
- MDPI AG, 2021.
-
Abstract
- Several researchers are considering the plausibility of being able to rapidly launch a mission to an asteroid, which would fly in close proximity of the asteroid to deliver an impulse in a particular direction so as to deflect the asteroid from its current orbit. Planetary motion, in general, and the motion of asteroids, in particular, are subject to planetary influences that are characterised by a kind of natural symmetry, which results in an asteroid orbiting in a stable and periodic or almost periodic orbit exhibiting a number of natural orbital symmetries. Tracking and following an asteroid, in close proximity, is the subject of this paper. In this paper, the problem of synthesizing an optimal trajectory to a NEO such as an asteroid is considered. A particular strategy involving the optimization of a co-planar trajectory segment that permits the satellite to approach and fly alongside the asteroid is chosen. Two different state space representations of the Hill–Clohessy–Wiltshire (HCW) linearized equations of relative motion are used to obtain optimal trajectories for a spacecraft approaching an asteroid. It is shown that by using a state space representation of HCW equations where the secular states are explicitly represented, the optimal trajectories are not only synthesized rapidly but also result in lower magnitudes of control inputs which must be applied continuously over extended periods of time. Thus, the solutions obtained are particularly suitable for low thrust control of the satellites orbit which can be realized by electric thrusters.
- Subjects :
- asteroids
Physics and Astronomy (miscellaneous)
General Mathematics
02 engineering and technology
01 natural sciences
optimal trajectory synthesis
0203 mechanical engineering
0103 physical sciences
QA1-939
Computer Science (miscellaneous)
State space
Aerospace engineering
010303 astronomy & astrophysics
Physics
020301 aerospace & aeronautics
Spacecraft
State-space representation
business.industry
Rendezvous
dynamic modelling of satellite relative motion
simulation
optimal control of relative motion
Orbit
Chemistry (miscellaneous)
Asteroid
Physics::Space Physics
Trajectory
Satellite
Astrophysics::Earth and Planetary Astrophysics
business
Mathematics
Subjects
Details
- ISSN :
- 20738994
- Volume :
- 13
- Database :
- OpenAIRE
- Journal :
- Symmetry
- Accession number :
- edsair.doi.dedup.....de2994d0d1335e422e61456698a94c25