A Note on the Computation of the Euler Parameters

[+] Author and Article Information
Lars Johansson

Division of Mechanics, Department of Mechanical Engineering, Linköping University, SE-581 83 Linköping, Sweden e-mail: largo@ikp.liu.se

J. Dyn. Sys., Meas., Control 123(4), 719-722 (Jul 10, 2000) (4 pages) doi:10.1115/1.1408943 History: Received July 10, 2000
Copyright © 2001 by ASME
Your Session has timed out. Please sign back in to continue.


Wittenburg, J., 1977, Dynamics of Systems of Rigid Bodies, Teubner, Stuttgart.
Johansson,  L., and Klarbring,  A., 2000, “Study of Frictional Impact Using a Non-Smooth Equations Solver,” ASME J. Appl. Mech., 67, pp. 267–273.
Johansson,  L., 1999, “A Linear Complementarity Algorithm for Rigid Body Impact with Friction,” European Journal of Mechanics,18, pp. 703–717.
Johansson, L., “A Newton Method for Rigid Body Frictional Impact with Multiple Simultaneous Impact Points,” Comput. Methods Appl. Mech. Eng., to appear.
Whitmore, S. A., Fife, M., and Logan, B., 1997, “Development of a Closed-Loop Strap Down Attitude System for an Ultralight Altitude Flight Experiment,” NASA Technical Memorandum 4775.
Stevens, B. L., and Lewis, F. L., 1992, Aircraft Control and Simulation, Wiley, New York.
Morton,  H. S., Junkins,  J. L., and Blanton,  J. N., 1974, “Analytical Solutions for Euler Parameters,” Celest. Mech., 10, pp. 287–301.
Lukes, D. H., 1982, Differential Equations: Classical to Controlled, Academic Press, New York.
Byers,  R. M., and Vadali,  S. R., 1993, “Qasi-Closed-Form Solution to the Time-Optimal Rigid Spacecraft Reorientation Problem,” J. Guid. Control Dyn., 16, pp. 453–461.
Dahlquist, G, Björk, Å, and Anderson, N., 1974, Numerical Methods, Prentice-Hall, Englewood Cliffs.
Vandergraft, J. S., 1978, Introduction to Numerical Computations, Academic Press, New York.
Omelyan,  I. P., 1998, “Algorithm for Numerical Integration of the Rigid-Body Equations of Motion,” Phys. Rev. E, 58, pp. 1169–1172.
Omelyan,  I. P., 1998, “Numerical Integration of the Equations of Motion for Rigid Polyatomics: The Matrix Method,” Comput. Phys. Commun., 109, pp. 171–183.
Vu-Quoc,  L., Zhang,  X., and Walton,  O. R., 2000, “A 3-D Discrete-Element Method for Dry Granular Flows of Ellipsoidal Particles,” Comput. Methods Appl. Mech. Eng., 187, pp. 483–528.


Grahic Jump Location
Variation of ωz in the examples
Grahic Jump Location
Errors for increasing piecewise constant ωz
Grahic Jump Location
Errors for increasing piecewise constant ωz, short timestep
Grahic Jump Location
Errors for alternating piecewise constant ωz




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In