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Engineering Note | Open Access
Application of homotopy perturbation method to the radial thrust problem
Abstract
The dynamics of a spacecraft propelled by a continuous radial thrust resembles that of a nonlinear oscillator. This is analyzed in this work with a novel method that combines the definition of a suitable homotopy with a classical perturbation approach, in which the low thrust is assumed to be a perturbation of the nominal Keplerian motion. The homotopy perturbation method provides the analytical (approximate) solution of the dynamical equations in polar form to estimate the corresponding spacecraft propelled trajectory with a short computational time. The accuracy of the analytical results was tested in an orbital-targeting mission scenario.
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Pages 251-258
Cite this article:
Niccolai L, Quarta AA, Mengali G. Application of homotopy perturbation method to the radial thrust problem. Astrodynamics, 2023, 7(2): 251-258. https://doi.org/10.1007/s42064-022-0150-4
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