Existence Of Symmetric Periodic Solutions In The Sitnikov Problem
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ABSTRACT
In this work, the existence of symmetric periodic solutions of the Sitnikov problem was studied. Analytical solutions were obtained for the homogenous equation. The complementary function thus obtained, confirmed the existence of periodic solution. Further test for periodicity was carried out using the Bendixson Criterion. Due to the high nonlinear nature of the equation, Runge-Kutta fourth-order and Euler methods were again used to obtain an approximate solution which was unbounded and were compared with the analytical solution for the interval of eccentricities. Numerical simulation was obtained using MATCAD which extend some results in literature.
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APA
OGBONNIA, T., & OKO (2022). Existence Of Symmetric Periodic Solutions In The Sitnikov Problem. Michael Okpara University of Agriculture. Retrieved August 20, 2026, from https://repository.mouau.edu.ng/works/existence-of-symmetric-periodic-solutions-in-the-sitnikov-problem-7-2
MLA
OGBONNIA, TOOCHUKWU, and OKO. "Existence Of Symmetric Periodic Solutions In The Sitnikov Problem." Michael Okpara University of Agriculture, 28 Nov. 2022, https://repository.mouau.edu.ng/works/existence-of-symmetric-periodic-solutions-in-the-sitnikov-problem-7-2. Accessed August 20, 2026.
Chicago
OGBONNIA, TOOCHUKWU, and OKO. "Existence Of Symmetric Periodic Solutions In The Sitnikov Problem." Michael Okpara University of Agriculture (2022). Accessed August 20, 2026. https://repository.mouau.edu.ng/works/existence-of-symmetric-periodic-solutions-in-the-sitnikov-problem-7-2