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- W4378078272 abstract "<abstract><p>In this paper, we study the minimizing property for the isosceles trapezoid solutions of the four-body problem. We prove that the minimizers of the action functional restricted to homographic solutions are the Keplerian elliptical solutions, and this functional has a minimum equal to $ frac{3}{2}(2pi)^{2/3}T^{1/3}left(frac{xi (a, b)}{eta (a, b)}right) ^{2/3} $. Further, we investigate the dynamical behavior in the trapezoidal four-body problem using the Poincaré surface of section method.</p></abstract>" @default.
- W4378078272 created "2023-05-25" @default.
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- W4378078272 date "2023-01-01" @default.
- W4378078272 modified "2023-10-14" @default.
- W4378078272 title "Action minimizing orbits in the trapezoidal four body problem" @default.
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- W4378078272 doi "https://doi.org/10.3934/math.2023901" @default.
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