Quasi-Exact Coulomb Dynamics of n Charges n-1 of Which Are Equal
For n≥3 point charges n-1 of which are negative and equal quasi-exact periodic solutions of their Coulomb equation of motion are found. These solutions describe a motion of the negative charges around a coordinate axis in such a way that their coordinates coincide with vertices of a regular polygon...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/6751025 |
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| _version_ | 1832556260475535360 |
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| author | Wolodymyr Skrypnik |
| author_facet | Wolodymyr Skrypnik |
| author_sort | Wolodymyr Skrypnik |
| collection | DOAJ |
| description | For n≥3 point charges n-1 of which are negative and equal quasi-exact periodic solutions of their Coulomb equation of motion are found. These solutions describe a motion of the negative charges around a coordinate axis in such a way that their coordinates coincide with vertices of a regular polygon in planes perpendicular to the axis along which the positive charge moves. The Weinstein and center Lyapunov theorems are utilized. |
| format | Article |
| id | doaj-art-0876dd2d1ec3458bb6dc81b67e74e078 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-0876dd2d1ec3458bb6dc81b67e74e0782025-02-03T05:45:49ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/67510256751025Quasi-Exact Coulomb Dynamics of n Charges n-1 of Which Are EqualWolodymyr Skrypnik0Institute of Mathematics, Tereshchenkivska 3, Kyiv 01004, UkraineFor n≥3 point charges n-1 of which are negative and equal quasi-exact periodic solutions of their Coulomb equation of motion are found. These solutions describe a motion of the negative charges around a coordinate axis in such a way that their coordinates coincide with vertices of a regular polygon in planes perpendicular to the axis along which the positive charge moves. The Weinstein and center Lyapunov theorems are utilized.http://dx.doi.org/10.1155/2017/6751025 |
| spellingShingle | Wolodymyr Skrypnik Quasi-Exact Coulomb Dynamics of n Charges n-1 of Which Are Equal Advances in Mathematical Physics |
| title | Quasi-Exact Coulomb Dynamics of n Charges n-1 of Which Are Equal |
| title_full | Quasi-Exact Coulomb Dynamics of n Charges n-1 of Which Are Equal |
| title_fullStr | Quasi-Exact Coulomb Dynamics of n Charges n-1 of Which Are Equal |
| title_full_unstemmed | Quasi-Exact Coulomb Dynamics of n Charges n-1 of Which Are Equal |
| title_short | Quasi-Exact Coulomb Dynamics of n Charges n-1 of Which Are Equal |
| title_sort | quasi exact coulomb dynamics of n charges n 1 of which are equal |
| url | http://dx.doi.org/10.1155/2017/6751025 |
| work_keys_str_mv | AT wolodymyrskrypnik quasiexactcoulombdynamicsofnchargesn1ofwhichareequal |