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• W2079086472 abstract "Abstract Modified vector fields can be used to construct high-order structure–preserving numerical integrators for ordinary differential equations. In the present Letter we consider high-order integrators based on the implicit midpoint rule, which conserve quadratic first integrals. It is shown that these integrators are particularly suitable for the rigid body motion with an additional quadratic first integral. In this case high-order integrators preserve all four first integrals of motion. The approach is illustrated on the Lagrange top (a rotationally symmetric rigid body with a fixed point on the symmetry axis). The equations of motion are considered in the space fixed frame because in this frame Lagrange top admits a neat description. The Lagrange top motion includes the spherical pendulum and the planar pendulum, which swings in a vertical plane, as particular cases." @default.
• W2079086472 created "2016-06-24" @default.
• W2079086472 creator A5011441201 @default.
• W2079086472 date "2008-12-01" @default.
• W2079086472 modified "2023-09-26" @default.
• W2079086472 title "High-order conservative discretizations for some cases of the rigid body motion" @default.
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• W2079086472 doi "https://doi.org/10.1016/j.physleta.2008.10.089" @default.
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