Constant, Radial Low-Thrust Problem Including First-Order Effects of J2

Urrutxua, Hodei; Lara, Martı́n

doi:10.2514/1.g000598

Cited by 3 publications

(1 citation statement)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For example, Prussing and Coverstone-Carroll [3] proposed a graphical approach to identify the allowable regions of motion when the acceleration magnitude has a constant value. Their results were later extended to the case of variable spacecraft mass [4], and completed by including the J 2 effect in a planetocentric mission scenario [5]. Other approaches use elliptic integrals [6,7] to describe the spacecraft propelled trajectory.…”

Section: Introductionmentioning

confidence: 99%

Application of homotopy perturbation method to the radial thrust problem

2022

View full text Add to dashboard Cite

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.

show abstract