A simple time domain collocation method to precisely search for the periodic orbits of satellite relative motion

DOI10.1155/2014/854967zbMath1407.70034OpenAlexW1969468526WikidataQ59070065 ScholiaQ59070065MaRDI QIDQ1719255

Honghua Dai, Xuechuan Wang, Xiaokui Yue

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/854967

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Two-body problems (70F05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Orbital mechanics (70M20)

Cites Work

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• Fourier series approximations to \(J_2\)-bounded equatorial orbits
• A time domain collocation method for obtaining the third superharmonic solutions to the Duffing oscillator
• A Simple Collocation Scheme for Obtaining the Periodic Solutions of the Duffing Equation, and its Equivalence to the High Dimensional Harmonic Balance Method: Subharmonic Oscillations
• A Globally Optimal Iterative Algorithm Using the Best Descent Vector \mathaccentV dot05F x = l [ a c F + B T F , with the Critical Value a c , for Solving a System of Nonlinear Algebraic Equations F ( x )= 0]
• New form for the optimal rendezvous equations near a Keplerian orbit
• Fuel-optimal rendezvous near a point in general Keplerian orbit
• Second-order solution to the elliptical rendezvous problem.
• \(J_2\) invariant relative orbits for spacecraft formations

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