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<p>We obtain the uniqueness of a class of double pyramidal central configurations in Newtonian (<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13662_2025_3931_Article_IEq1.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="45" /> </InlineMediaObject> <EquationSource Format="MATHML"><math> <mi>N</mi> <mo>+</mo> <mn>2</mn> </math></EquationSource> <EquationSource Format="TEX">$N+2$</EquationSource> </InlineEquation>)-body problem, where <i>N</i> masses are positioned at the vertices of a regular <i>N</i>-polygon, and the remaining two masses are located above and below the plane containing the regular <i>N</i>-polygon.</p>

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The uniqueness of a class of double pyramidal central configurations

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月21日

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  • Liang Ding,
  • Xiaoli Long,
  • Fengying Li,
  • Yanhong Wang

摘要

We obtain the uniqueness of a class of double pyramidal central configurations in Newtonian ( N + 2 $N+2$ )-body problem, where N masses are positioned at the vertices of a regular N-polygon, and the remaining two masses are located above and below the plane containing the regular N-polygon.