Method and system for determining a singularity free...

Aeronautics and astronautics – Spacecraft – Attitude control

Reexamination Certificate

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C701S013000

Reexamination Certificate

active

07464899

ABSTRACT:
A method for avoiding singularities in the movement of CMGs in an array of CMGs in a spacecraft includes a first step where a maneuver command to rotate a spacecraft orientation is received. Then, the torque needed to rotate the spacecraft's orientation is determined. Then, the torque is integrated to determine a momentum path. The momentum path is decomposed into a sequence of straight line segments. For each line segment, a unit vector along the straight line segments is determined. Then, it is determined if there is a continuous path connecting a start point and an end point of the line segment in a plane perpendicular to the unit vector. For each point along the path in the plane perpendicular to the unit vector, a set of gimbal angles is determined.

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patent: 6131056 (2000-10-01), Bailey et al.
patent: 06118287 (2006-12-01), None
patent: 9947419 (1999-09-01), None
H. Kurokawa; Constrained Steering Law Of Pyramid-Type Control Moment Gyros And Ground Tests; Journal Of Guidance, Control, And Dynamics, vol. 20, No. 3, May-Jun. 1997, XP-002112653.
S. Krishnan and S.R. Vadali; An Inverse-Free Technique For Attitude Control Of Space Craft Using CMGS; Acta Astronautica, vol. 39, No. 6, pp. 431-438, 1996, XP-002107130.
S. Basu, R. Pollack and M. Roy, “Computing Roadmaps of Semi-Algebraic Sets on a Variety,” Journal of the American Mathematical Society, Jul. 20, 1999, pp. 55-82, vol. 13, No. 1.

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