New periodic solution for planar 8-body problems (Q1766797)
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scientific article; zbMATH DE number 2140049
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New periodic solution for planar 8-body problems |
scientific article; zbMATH DE number 2140049 |
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New periodic solution for planar 8-body problems (English)
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1 March 2005
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The author investigates the planar motion of Newtonian 8 bodies with equal masses. The least action principle and some recently proved theorems are used to demonstrate the existence of new non-collisional periodic solutions. According to these periodic solutions, two pairs of the bodies move clock-wise and other two pairs -- counter-wise.
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non-collisional solutions
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least action principle
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