On Stable Concyclic Configurations

We discuss equilibrium configurations of point charges with Coulomb interaction on the circle, line segment and system of three concentric circles, and obtain characterization of stable electrostatic configurations with a few points.

Keywords

electrostatic energy, stable equilibrium configuration, stationary charges, Morse function, electrostatic ion trap

Received

02.11.2018

Publication date

02.11.2018

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GOST	Giorgadze G., Khimshiashvili G. On Stable Concyclic Configurations // Doklady Akademii nauk – 2018. – V. 481. – Issue 6 C. 587-593 [Electronic resource]. URL: http://ras.jes.su/dan/s207987840001312-2-1-en (circulation date: 25.04.2024). DOI: 10.31857/S086956520002089-0
MLA	Giorgadze, G., Khimshiashvili, G. "On Stable Concyclic Configurations." Doklady Akademii nauk 481.6 (2018):587-593. DOI: 10.31857/S086956520002089-0
APA	Giorgadze G., Khimshiashvili G. (2018). On Stable Concyclic Configurations. Doklady Akademii nauk 481(6), pp.587-593 DOI: 10.31857/S086956520002089-0

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1. Giorgadze G.K., Khimshiashvili G.N. // Doklady Akademii nauk. Matematika. 2013. T.450, №3, S. 254-257.

2. Giorgadze G.K., Khimshiashvili G.N. // Doklady Akademii nauk. Matematika. 2015. T.465, №3, S.269-273.

3. Aguirregabiria J., Hernandez A., Rivas M., Valle M. // Computers in Physics. 1990. v.4, No.1, P.60-63.

4. Grünbaum F. // J. Comp. Appl. Math. 2001. v.133. P.397-411.

5. Khimshiashvili G. // Bull. Georgian Natl. Acad. Sci. 2013. v.7, No.1, P.5-10.

6. Khimshiashvili G. // Proc. I.Vekua Inst. Appl. Math. 2015. v.65, P.27-33.

7. Khimshiashvili G., Panina G., Siersma D. // J. Geom. Phys. 2015. v.98, no.1, P.110-117.

8. Paul W. // Rev. Mod. Phys. 1990. v.62, P.531-540.

9. Smale S. // Math. Intelligencer. 1998. v.20, no.2, P. 7-15.

10. Wang T., Xia G., Zhao N. // J. Astronaut. Sci. 2016. v.63, no.1, P. 47-59.