Research Article

One Parameter Elliptic Motions in Three-Dimensional Space

Volume: 14 Number: 2 October 29, 2021
EN

One Parameter Elliptic Motions in Three-Dimensional Space

Abstract

Elliptical motions have been defined by three different right-handed coordinate systems. The motion of these coordinate systems depends on the time parameter which has great importance in robotics. In particular, it is used in a model of a robot arm manipulator to achieve high performance. Hence, we have expressed some theorems and results concerning this elliptical motion. Besides, the special cases of this motion have been discussed.

Keywords

Project Number

Yok

References

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  4. [4] Frahm, G., Junker, M., Szimayer, A.: Elliptical Copulas: Applicability and Limitations. Stat. Probab. Lett. 63 (3), 275–286 (2003).
  5. [5] Güngör, M.A., Tosun, M.: One Parameter Dual Lorentzian Spherical Motions and Ruled Surfaces. Matematiche LXIII, 63–82 (2008).
  6. [6] Güngör, M.A., Tosun, M.: One Parameter Lorentzian Motions in Lorentz 3-Space. Kragujevac J. Math. 31, 95–109 (2008).
  7. [7] Jüttler, B.: An Osculating Motion with Second Order Contact for Spatial Euclidean Motions. Mech. Mach. Theory 32 (7), 843–853 (1997).
  8. [8] Kim, S., Karrila, S.J.: Microhydrodynamics: Principles and Selected Applications. Dover Publications Inc., New York, USA (2005).

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

October 29, 2021

Submission Date

June 29, 2021

Acceptance Date

October 18, 2021

Published in Issue

Year 2021 Volume: 14 Number: 2

APA
Azak, A. Z. (2021). One Parameter Elliptic Motions in Three-Dimensional Space. International Electronic Journal of Geometry, 14(2), 391-399. https://doi.org/10.36890/iejg.959634
AMA
1.Azak AZ. One Parameter Elliptic Motions in Three-Dimensional Space. Int. Electron. J. Geom. 2021;14(2):391-399. doi:10.36890/iejg.959634
Chicago
Azak, Ayşe Zeynep. 2021. “One Parameter Elliptic Motions in Three-Dimensional Space”. International Electronic Journal of Geometry 14 (2): 391-99. https://doi.org/10.36890/iejg.959634.
EndNote
Azak AZ (October 1, 2021) One Parameter Elliptic Motions in Three-Dimensional Space. International Electronic Journal of Geometry 14 2 391–399.
IEEE
[1]A. Z. Azak, “One Parameter Elliptic Motions in Three-Dimensional Space”, Int. Electron. J. Geom., vol. 14, no. 2, pp. 391–399, Oct. 2021, doi: 10.36890/iejg.959634.
ISNAD
Azak, Ayşe Zeynep. “One Parameter Elliptic Motions in Three-Dimensional Space”. International Electronic Journal of Geometry 14/2 (October 1, 2021): 391-399. https://doi.org/10.36890/iejg.959634.
JAMA
1.Azak AZ. One Parameter Elliptic Motions in Three-Dimensional Space. Int. Electron. J. Geom. 2021;14:391–399.
MLA
Azak, Ayşe Zeynep. “One Parameter Elliptic Motions in Three-Dimensional Space”. International Electronic Journal of Geometry, vol. 14, no. 2, Oct. 2021, pp. 391-9, doi:10.36890/iejg.959634.
Vancouver
1.Ayşe Zeynep Azak. One Parameter Elliptic Motions in Three-Dimensional Space. Int. Electron. J. Geom. 2021 Oct. 1;14(2):391-9. doi:10.36890/iejg.959634