The Mathematica book (4th edition)
The Mathematica book (4th edition)
On the stability of equilibrium positions in the circular restricted four-body problem
CASC'11 Proceedings of the 13th international conference on Computer algebra in scientific computing
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A symbolic algorithm for construction of a real canonical transformation that reduces the Hamiltonian determining motion of an autonomous two-degree-of-freedom system in a neighborhood of an equilibrium state to the normal form is discussed. The application of the algorithm to the restricted planar circular three-body problem is demonstrated. The expressions obtained for the coefficients of the Hamiltonian normal form substantiate results derived earlier by A. Deprit. Symbolic computations are performed in the computer algebra system Mathematica.