Кулонівська плоска періодична динаміка однакових зарядів у полі притягальних центрів та постійному магнітному полі

W. I. Skrypnik

doi:10.15407/dopovidi2016.03.019

Coulomb planar periodic motion of equal charges in the field of attractive centers and a constant magnetic field

Authors

W. I. Skrypnik Institute of Mathematics of the NAS of Ukraine, Kiev

DOI:

https://doi.org/10.15407/dopovidi2016.03.019

Keywords:

Coulomb equation of motion, external fields, negative charges

Abstract

We consider a neutral Coulomb planar system of n equal negative charges in a constant magnetic field and the field of n equal fixed positive charges and construct a periodic solution of the equation of motion such that each negative charge is close to its own positive fixed charge.

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References

Skrypnik W. I. Ukr. Math. J., 2011, 63, No 2: 270–280 (in Ukrainian).

Skrypnik W. I. Ukr. Math. J., 2013, 65, No 4: 546–564 (in Ukrainian).

Skrypnik W. I. Ukr. Math. J., 2014, 66, No 5: 668-682 (in Ukrainian). https://doi.org/10.1007/s11253-014-0970-3

Siegel C. L., Moser J. K. Lectures on celestial mechanics, Berlin; Heidelberg; New York: Springer, 1971. https://doi.org/10.1007/978-3-642-87284-6

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Published

10.10.2024

How to Cite

Skrypnik, W. I. (2024). Coulomb planar periodic motion of equal charges in the field of attractive centers and a constant magnetic field . Reports of the National Academy of Sciences of Ukraine, (3), 19–25. https://doi.org/10.15407/dopovidi2016.03.019