Blow up techniques in the kepler problem

1988 ◽  
pp. 177-191
Author(s):  
Ernesto A. Lacomba ◽  
Guillermo Sienra
Keyword(s):  
Blow Up ◽  
Kepler Problem

scholarly journals Canonical Variables of The Second Kind and The Reduction of The N-Body Problem

1999 ◽  
Vol 172 ◽  
pp. 269-280
Author(s):  
John G. Bryant
Keyword(s):  
Hamiltonian System ◽  
Body Problem ◽  
Blow Up ◽  
Kepler Problem ◽  
Geometrical Optics ◽  
Canonical Variables ◽  
N Body Problem ◽  
Homogeneous Reduction ◽  
New Variables

AbstractWe introduce a new kind of canonical variables that prove very useful when the order of a Hamiltonian system can be reduced by one, as in the case of isoenergetic reduction, and of what we call homogeneous reduction. The Kepler Problem, Geometrical Optics and McGehee Blow-up are discussed as examples. Finally we carry out the isoenergetic reduction of the general N-Body Problem using the new variables, and briefly discuss its application to the problem of collision.

McGehee Blow-Up of the Kepler Problem on Surfaces of Constant Curvature

2020 ◽  
Vol 19 (1) ◽  
Author(s):  
Jaime Andrade ◽  
Francisco Crespo ◽  
Y. Paulina Martínez ◽  
Claudio Vidal
Keyword(s):  
Constant Curvature ◽  
Blow Up ◽  
Kepler Problem

Positive solutions for a quasilinear system Via blow up

1993 ◽  
Vol 18 (12) ◽  
pp. 2071-2106
Author(s):  
Philippe Clément ◽  
Raúl Manásevich ◽  
Enzo Mitidieri
Keyword(s):  
Positive Solutions ◽  
Blow Up ◽  
Quasilinear System

: The Blow-Up . Michelangelo Antonioni .

1967 ◽  
Vol 20 (3) ◽  
pp. 28-31
Author(s):  
Max Kozloff
Keyword(s):  
Blow Up ◽  
Michelangelo Antonioni

Instability and Collapse in Discrete Wave Equations

2005 ◽  
Vol 5 (3) ◽  
pp. 223-241
Author(s):  
A. Carpio ◽  
G. Duro
Keyword(s):  
Continuum Limit ◽  
Wave Equations ◽  
Numerical Solutions ◽  
Blow Up ◽  
Theoretical Predictions ◽  
Initial States ◽  
The Impact ◽  
The Continuum

AbstractUnstable growth phenomena in spatially discrete wave equations are studied. We characterize sets of initial states leading to instability and collapse and obtain analytical predictions for the blow-up time. The theoretical predictions are con- trasted with the numerical solutions computed by a variety of schemes. The behavior of the systems in the continuum limit and the impact of discreteness and friction are discussed.

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