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- W2023244438 abstract "We show the existence of the twisted stacked central configurations for the 9-body problem. More precisely, the position vectors<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:mrow></mml:math>,<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:math>,<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:mrow></mml:math>,<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mn>4</mml:mn></mml:msub></mml:mrow></mml:math>, and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M5><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mn>5</mml:mn></mml:msub></mml:mrow></mml:math>are at the vertices of a square pyramid<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M6><mml:mrow><mml:mi>Σ</mml:mi></mml:mrow></mml:math>; the position vectors<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M7><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mn>6</mml:mn></mml:msub></mml:mrow></mml:math>,<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M8><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mn>7</mml:mn></mml:msub></mml:mrow></mml:math>,<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M9><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mn>8</mml:mn></mml:msub></mml:mrow></mml:math>, and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M10><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mn>9</mml:mn></mml:msub></mml:mrow></mml:math>are at the vertices of a square<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M11><mml:mrow><mml:mi>Π</mml:mi></mml:mrow></mml:math>." @default.
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- W2023244438 date "2013-01-01" @default.
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- W2023244438 title "Stacked Central Configurations for the Spatial Nine-Body Problem" @default.
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- W2023244438 doi "https://doi.org/10.1155/2013/798468" @default.
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