2018
DOI: 10.2514/1.g003394
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Inertial Properties Estimation of a Passive On-orbit Object Using Polhode Analysis

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Cited by 25 publications
(22 citation statements)
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“…A, B and C are the principal moments of inertia, H and L are the angular kinetic energy and angular momentum of space debris, ω s,M is the s-axis angular velocity projection int the frame M. Equations ( 3) and ( 4) show that the angular velocity vector's end moves at the intersection of the above two ellipsoids, and the projection of the angular velocity under the body-fixed frame is called polhode. According to the modeling method in [12], comparing the magnitudes of 2TB and L 2 and whether the mass distribution is symmetrical, the motions of space debris are classified into seven cases by Setterfield. Most space debris exhibit asymmetric mass distribution due to impact, and in the seven cases, the most common form of space debris is shown as Figure 2: In these forms, the elliptic functions become the aperiodic hyperbolic equations of the medium energy case [12], which means this form is the most unstable and unlikely motion.…”
Section: Coordinate Systems and Dynamic Model Of Space Debrismentioning
confidence: 99%
See 3 more Smart Citations
“…A, B and C are the principal moments of inertia, H and L are the angular kinetic energy and angular momentum of space debris, ω s,M is the s-axis angular velocity projection int the frame M. Equations ( 3) and ( 4) show that the angular velocity vector's end moves at the intersection of the above two ellipsoids, and the projection of the angular velocity under the body-fixed frame is called polhode. According to the modeling method in [12], comparing the magnitudes of 2TB and L 2 and whether the mass distribution is symmetrical, the motions of space debris are classified into seven cases by Setterfield. Most space debris exhibit asymmetric mass distribution due to impact, and in the seven cases, the most common form of space debris is shown as Figure 2: In these forms, the elliptic functions become the aperiodic hyperbolic equations of the medium energy case [12], which means this form is the most unstable and unlikely motion.…”
Section: Coordinate Systems and Dynamic Model Of Space Debrismentioning
confidence: 99%
“…According to the modeling method in [12], comparing the magnitudes of 2TB and L 2 and whether the mass distribution is symmetrical, the motions of space debris are classified into seven cases by Setterfield. Most space debris exhibit asymmetric mass distribution due to impact, and in the seven cases, the most common form of space debris is shown as Figure 2: In these forms, the elliptic functions become the aperiodic hyperbolic equations of the medium energy case [12], which means this form is the most unstable and unlikely motion. Furthermore, the high energy case will decay to the low energy case because of energy dissipation.…”
Section: Coordinate Systems and Dynamic Model Of Space Debrismentioning
confidence: 99%
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“…In all these methods, only normalized moments of inertia were estimated, since no external torques were applied on the target spacecraft. Setterfield et al [84] proposed a method to additionally estimate the three principal axes together with the inertia ratios through the analysis of the target object's polhode in an arbitrary target-fixed geometric frame. Felicetti et al [85] analyzed the estimation of the full inertia matrix by exerting a control torque on the object and by adopting an EKF.…”
Section: Design and Validation Of Monocular Navigation Systems: Partially Known Targetsmentioning
confidence: 99%