Abstract
Modern perturbation theory is attributed to Poincaré. Early attempts by astronomers were plagued by the appearance of terms increasing with time. Such terms are referred to as secular terms and may affect the convergence of the solution. A large variety of perturbation methods suppressing the secular terms have been developed, including a method by Poincaré and Lindstedt.
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References
Meirovitch, L. (1970). Methods of analytical dynamics. New York: McGraw-Hill Book Company.
Szebehely, V. G. (1989). Adventures in celestial mechanics, a first course in the theory of orbits. Austin: University of Texas Press.
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Longuski, J.M., Hoots, F.R., Pollock IV, G.E. (2022). Periodic Solutions in Nonlinear Oscillations. In: Introduction to Orbital Perturbations. Space Technology Library, vol 40. Springer, Cham. https://doi.org/10.1007/978-3-030-89758-1_9
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DOI: https://doi.org/10.1007/978-3-030-89758-1_9
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