2007
DOI: 10.1007/bf03256532
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Optimal approach to and alignment with a rotating rigid body for capture

Abstract: This paper addresses a feed-forward optimal control problem for one rigid body to approach to and align with another arbitrarily rotating rigid body, with an application to the satellite rendezvous problem. In particular, we focus on the satellite rendezvous strategy of finding an optimal trajectory, and the required thrust force profiles, which will guide the chasing spacecraft to approach the tumbling satellite such that the two vehicles will eventually have no relative rotation and thus a subsequent docking… Show more

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Cited by 46 publications
(16 citation statements)
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“…Regarding guidance techniques for proximity operations, Flores-Abad et al (2014) mentions the following works: Matsumoto et al (2003) proposed two methods for safe approach to an uncontrolled rotating spacecraft: a passive fly-by and an optimized trajectory. Ma et al (2012) optimized the approach trajectory of a chaser to a tumbling target such that the relative motion between the two is zero by minimizing the approach time and fuel. Pontryagin's Maximum Principle was used for the optimization process.…”
Section: State Of the Art Of Gnc Algorithmsmentioning
confidence: 99%
“…Regarding guidance techniques for proximity operations, Flores-Abad et al (2014) mentions the following works: Matsumoto et al (2003) proposed two methods for safe approach to an uncontrolled rotating spacecraft: a passive fly-by and an optimized trajectory. Ma et al (2012) optimized the approach trajectory of a chaser to a tumbling target such that the relative motion between the two is zero by minimizing the approach time and fuel. Pontryagin's Maximum Principle was used for the optimization process.…”
Section: State Of the Art Of Gnc Algorithmsmentioning
confidence: 99%
“…A sufficient condition would be that the servicing satellite not only matches the velocity of the target satellite but also aligns its docking interface with that of the target satellite. The alignment problem has been discussed in [9].…”
Section: Tracking the Angular Velocity Of The Target Satellitementioning
confidence: 99%
“…A prototype system was also developed to control a robotic arm that autonomously captures a free-flying satellite in a realistic laboratory setting that faithfully mimics on-orbit conditions. Ma et al proposed an optimal control strategy for a servicing spacecraft to rendezvous with a target satellite in a proximity range [9]. Based on Pontryagin's maximum principle, the method can generate an optimal approaching trajectory to guide the servicing spacecraft to approach the target satellite.…”
Section: Introductionmentioning
confidence: 99%
“…Matsumoto et al [74] proposed a passive fly-by approach and an optimal trajectory for closerange rendezvous with a rotating satellite, considering issues such as collision avoidance between the manipulator and the target satellite. Ma et al [75] designed an optimal trajectory for a spacecraft to approach a tumbling satellite by minimizing time and fuel. They obtained the required thrust force profiles that would guide the chasing spacecraft to approach the tumbling satellite such that the two vehicles would eventually have no relative rotation and thus, a subsequent capture operation can be safely performed with a normal docking or capture mechanism.…”
Section: B Proximity Rendezvous For Autonomous Capturingmentioning
confidence: 99%