Zipu Yan1,2, Honghua Dai1,2,*, Xiaokui Yue1,2
The International Conference on Computational & Experimental Engineering and Sciences, Vol.26, No.3, pp. 1-1, 2023, DOI:10.32604/icces.2023.09138
Abstract As a significant research interest in orbital mechanics, periodic orbits are fundamental for understanding
orbital behaviors and space explorations. Although the harmonic balance (HB) method and its variants have
been the most widely-used approaches for periodic dynamical systems, they are seldom applied to celestial
dynamics. Here we use the reconstruction harmonic balance (RHB) method for solving periodic orbits.
Starting from a presupposed Fourier form and an initial guess at the solution, the algorithm uses timedomain collocation points to optimally reconstruct the high-order HB procedure without complicated
symbolic operations and non-physical solutions. Following a description of the method, it is applied… More >
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