The Kinetics and Workspace of a Satellite-Mounted Robot

  • Richard W. Longman
Part of the The Kluwer International Series in Engineering and Computer Science book series (SECS, volume 188)

Abstract

Satellite-mounted robots are considered that manipulate loads whose masses are not negligible compared to the satellite mass. In this paper the satellite attitude control system is considered to be turned off, as is often done on the space shuttle during Remote Manipulator System operation. Thus the satellite is considered to be free to not only translate, but to rotate in reaction to robot motions. Three basic topics in robotics, the forward kinematics, the inverse kinematics, and the robot work space, are all generalized here for satellite-mounted robots. The generalized version of the forward kinematics problem has become a dynamics problem with the property that the robot load position at the end of a maneuver is not just a function of the final joint angles, but of the whole history of the joint angles instead. For this reason, the new terms forward kinetics and inverse kinetics have been coined here. An interesting property of the inverse kinetics problem is that one not only specifies the desired load position and orientation, but one can choose any desired final satellite attitude as well. One complete solution to the very complex inverse kinetics problem for six degree-of-freedom satellite-mounted robot manipulators is presented. The robot workspace is also generated, and found to be a perfect sphere whose radius is a function of the load mass. Comparison of the free-flying satellite robot workspace to that of a robot mounted on an attitude fixed satellite, and to an inertially mounted robot, shows that it is usually larger than either one.

Keywords

Sine Lution Verse 

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References

  1. [1]
    Longman, R.W., Linberg, R.E., and Zedd, M. F. “Satellite-Mounted Robot Manipulators—New Kinematics and Reaction Moment Compensation,” International Journal of Robotics Research, Vol. 6, No. 3, Fall 1987, pp. 87–103; also, Proceedings of the AIAA Guidance, Navigation and Control Conference, Snowmass, Colorado, August 1985, pp. 278-290.CrossRefGoogle Scholar
  2. [2]
    Linberg, R. E., Longman, R.W., and Zedd, M.F. “Kinematics and Reaction Moment Compensation for a Spaceborne Elbow Manipulator,” Paper No. AIAA-86-0250, AIAA 24th Aerospace Sciences Meeting, Reno, Nevada, January 6-9, 1986. (A modified version appears in this issue under the title “Kinematic and Dynamic Properties of an Elbow Manipulator Mounted on a Satellite.”)Google Scholar
  3. [3]
    Longman, R.W. “Attitude Tumbling Due to Flexibility in Satellite-Mounted Robots,” Proceedings oftheAIAA Guidance, Nagivation and Control Conference, Minneapolis, Minnesota, August 1988, pp. 365–373. (A modified version appears in this issue.)Google Scholar
  4. [4]
    Vafa, Z., and Dubowsky, S. “On the Dynamics of Space Manipulators Using the Virtual Manipulator, with Applications to Path Planning,” The Journal of the Astronautical Sciences, Vol. 38, No. 4, October-December 1990, pp. 441–472.Google Scholar
  5. [5]
    Paul, R. Robotic Manipulators: Mathematics, Programming, and Control, The MIT Press, Cambridge, Massachusetts, 1981.Google Scholar
  6. [6]
    Cannon, jr., R. H. “Kinematic Drift of Single-Axis Gyroscopes,” Journal of Applied Mechanics, Vol. 25, No. 3, 1958, pp. 357–360.MathSciNetMATHGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Richard W. Longman
    • 1
    • 2
  1. 1.Naval Research LaboratoryWashingtonUSA
  2. 2.Columbia UniversityNew YorkUSA

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