REBIUN - ODA

Descripción del título

Generating families in the ...

Generating families in the restricted three-body problem

Hénon, Michel (1931-)

Springer-Verlag 1997-2001

The classical restricted problem of three bodies is of fundamental importance for its applications to astronomy and space navigation, and also as a simple model of a non-integrable Hamiltonian dynamical system. A central role is played by periodic orbits, of which a large number have been computed numerically. In this book an attempt is made to explain and organize this material through a systematic study of generating families, which are the limits of families of periodic orbits when the mass ratio of the two main bodies becomes vanishingly small. The most critical part is the study of bifurcations, where several families come together and it is necessary to determine how individual branches are joined. Many different cases must be distinguished and studied separately. Detailed recipes are given. Their use is illustrated by determining a number of generating families, associated with natural families of the restricted problem, and comparing them with numerical computations in the Earth-Moon and Sun-Jupiter case

Ver

Llibres electrònics

Monografía

monografia Rebiun17571407 https://catalogo.rebiun.org/rebiun/record/Rebiun17571407 m fo d cr mnummmmuuuu 020905m19972001gw a fob 001 0 eng d 9783540696506 electronic bk.) 3540696504 electronic bk.) 3540638024 9783540638025 3540417338 9783540417330 UAM 991007781482904211 UPM 991005576028204212 UCAR 991007917890204213 EYM. eng. pn. EYM. OCL. BAKER. SPLNP. GW5XE. OCLCQ. CSU. OCLCQ. GW5XE. OCLCF. GW5XE. OCLCQ. ES-VaUB 521 21 Hénon, Michel 1931-) Generating families in the restricted three-body problem Recurs electrònic] Michel Hénon Berlin New York Springer-Verlag 1997-2001 Berlin New York Berlin New York Springer-Verlag 1 recurs electrònic (2 volumes) illustrations 1 recurs electrònic (2 volumes) Lecture notes in physics. New series m, monographs 0940-7677 m52, m65 Includes bibliographical references and indexes [I. No special title] -- II. Quantitative study of bifurcations The classical restricted problem of three bodies is of fundamental importance for its applications to astronomy and space navigation, and also as a simple model of a non-integrable Hamiltonian dynamical system. A central role is played by periodic orbits, of which a large number have been computed numerically. In this book an attempt is made to explain and organize this material through a systematic study of generating families, which are the limits of families of periodic orbits when the mass ratio of the two main bodies becomes vanishingly small. The most critical part is the study of bifurcations, where several families come together and it is necessary to determine how individual branches are joined. Many different cases must be distinguished and studied separately. Detailed recipes are given. Their use is illustrated by determining a number of generating families, associated with natural families of the restricted problem, and comparing them with numerical computations in the Earth-Moon and Sun-Jupiter case Three-body problem Celestial mechanics Artificial satellites Orbits Bifurcation theory Artificial satellites Orbits. fast Bifurcation theory. fast Celestial mechanics. fast Three-body problem. fast Llibres electrònics Quantitative study of bifurcations Lecture notes in physics. New series m Monographs m52, m65 SpringerLink eBooks

• Localizaciones: 15
• Préstamo interbibliotecario

• Exportar
  • Dublin Core
  • Google scholar
  • RIS
  • RefWorks
• Favorito
• Compartir

Información Sólo puedes introducir una dirección de email ×

Introduce un email para compartir el título

Email Pon el email de la persona con la que deseas compartir este contenido

Error .alert.alert-info

Cerrar Compartir por email

Información Haz clic en el cuadro de texto para seleccionar el contenido y copiarlo al portapapeles

Enlace permanente https://catalogo.rebiun.org/rebiun/record/Rebiun17571407

Cerrar

monografia Rebiun17571407 https://catalogo.rebiun.org/rebiun/record/Rebiun17571407 m fo d cr mnummmmuuuu 020905m19972001gw a fob 001 0 eng d 9783540696506 electronic bk.) 3540696504 electronic bk.) 3540638024 9783540638025 3540417338 9783540417330 UAM 991007781482904211 UPM 991005576028204212 UCAR 991007917890204213 EYM. eng. pn. EYM. OCL. BAKER. SPLNP. GW5XE. OCLCQ. CSU. OCLCQ. GW5XE. OCLCF. GW5XE. OCLCQ. ES-VaUB 521 21 Hénon, Michel 1931-) Generating families in the restricted three-body problem Recurs electrònic] Michel Hénon Berlin New York Springer-Verlag 1997-2001 Berlin New York Berlin New York Springer-Verlag 1 recurs electrònic (2 volumes) illustrations 1 recurs electrònic (2 volumes) Lecture notes in physics. New series m, monographs 0940-7677 m52, m65 Includes bibliographical references and indexes [I. No special title] -- II. Quantitative study of bifurcations The classical restricted problem of three bodies is of fundamental importance for its applications to astronomy and space navigation, and also as a simple model of a non-integrable Hamiltonian dynamical system. A central role is played by periodic orbits, of which a large number have been computed numerically. In this book an attempt is made to explain and organize this material through a systematic study of generating families, which are the limits of families of periodic orbits when the mass ratio of the two main bodies becomes vanishingly small. The most critical part is the study of bifurcations, where several families come together and it is necessary to determine how individual branches are joined. Many different cases must be distinguished and studied separately. Detailed recipes are given. Their use is illustrated by determining a number of generating families, associated with natural families of the restricted problem, and comparing them with numerical computations in the Earth-Moon and Sun-Jupiter case Three-body problem Celestial mechanics Artificial satellites Orbits Bifurcation theory Artificial satellites Orbits. fast Bifurcation theory. fast Celestial mechanics. fast Three-body problem. fast Llibres electrònics Quantitative study of bifurcations Lecture notes in physics. New series m Monographs m52, m65 SpringerLink eBooks