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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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
id todo:paper_07315090_v19_n4_p921_Zadunaisky
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spelling todo:paper_07315090_v19_n4_p921_Zadunaisky2023-10-03T15:37:24Z Universal formulation for the N-body problem Zadunaisky, P.E. Giordano, C.M. 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 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_07315090_v19_n4_p921_Zadunaisky
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic 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
spellingShingle 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
Zadunaisky, P.E.
Giordano, C.M.
Universal formulation for the N-body problem
topic_facet 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
description 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.
format JOUR
author Zadunaisky, P.E.
Giordano, C.M.
author_facet Zadunaisky, P.E.
Giordano, C.M.
author_sort Zadunaisky, P.E.
title Universal formulation for the N-body problem
title_short Universal formulation for the N-body problem
title_full Universal formulation for the N-body problem
title_fullStr Universal formulation for the N-body problem
title_full_unstemmed Universal formulation for the N-body problem
title_sort universal formulation for the n-body problem
url http://hdl.handle.net/20.500.12110/paper_07315090_v19_n4_p921_Zadunaisky
work_keys_str_mv AT zadunaiskype universalformulationforthenbodyproblem
AT giordanocm universalformulationforthenbodyproblem
_version_ 1782027959892180992

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