Universal formulation for the N-body problem

The universal formulation for the perturbed two-body problem is generalized to cover all gravitational N-body problems involving a dominant central mass. Its efficiency, when compared to conventional numerical integration, is shown in several examples. The convergence and numerical stability of the...

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Detalles Bibliográficos
Autores principales: Zadunaisky, P.E., Giordano, C.M.
Formato: JOUR
Materias:
Convergence of numerical methods
Equations of motion
Errors
Gravitation
Lagrange multipliers
Matrix algebra
Numerical methods
Orbits
Parameter estimation
Vectors
Velocity
Perturbed two body problem
Universal formulation
Universal state transition matrix
Aerodynamics
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_07315090_v19_n4_p921_Zadunaisky
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:The universal formulation for the perturbed two-body problem is generalized to cover all gravitational N-body problems involving a dominant central mass. Its efficiency, when compared to conventional numerical integration, is shown in several examples. The convergence and numerical stability of the method is discussed, and a universal state transition matrix is obtained, which can be used either in a process of differential correction of an orbit or, as in the present case, to obtain an accurate estimation of global errors.

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