Chebyshev collocation methods for fast orbit determination

DOI10.1016/S0096-3003(98)00003-4zbMath0944.65086MaRDI QIDQ1294300

Manuel Palacios, Roberto Barrio, Antonio Elipe

Publication date: 13 September 2000

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemnumerical experimentsimplicit finite difference schemeChebyshev collocation methodPicard methodEarth satelliteFourier-Chebyshev approximationKepler ordinary differential equation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Orbital mechanics (70M20) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items

Characterization of low degree A-stable symmetric RK collocation methods, Algorithms for the integration and derivation of Chebyshev series., Bandlimited implicit Runge-Kutta integration for astrodynamics, Performance of perturbation methods on orbit prediction, Modifications of the method of variation of parameters, VSVO formulation of the Taylor method for the numerical solution of ODEs

Cites Work

• Some remarks on multivariate Chebyshev polynomials
• A family of implicit Chebyshev methods for the numerical integration of second-order differential equations
• A family of embedded Runge-Kutta formulae
• Solving Ordinary Differential Equations I
• The solution of nonlinear ordinary differential equations in Chebyshev series
• Perturbations in rectangular coordinates by iteration
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