scholarly journals Erratum: Accuracy of the post-Newtonian approximation: Optimal asymptotic expansion for quasicircular, extreme-mass ratio inspirals [Phys. Rev. D77, 124006 (2008)]

2011 ◽  
Vol 83 (10) ◽  
Author(s):  
Nicolás Yunes ◽  
Emanuele Berti
Keyword(s):  
Asymptotic Expansion ◽  
Mass Ratio ◽  
Newtonian Approximation

HYPERBOLICITY OF GRAD’S EXTENSION OF HYDRODYNAMIC MODELS FOR IONOSPHERIC PLASMA PART II: THE TWO SPECIES CASE

1994 ◽  
Vol 04 (05) ◽  
pp. 647-667 ◽  
Author(s):  
STEPHANE CORDIER
Keyword(s):  
Heat Flux ◽  
Asymptotic Expansion ◽  
Ionospheric Plasma ◽  
Mass Ratio ◽  
Hydrodynamic Models ◽  
Independent Variable

We investigate the hyperbolicity of the five-, eight-, 10-, 13- and 16-moment Grad systems for two species of particles under the quasineutrality hypothesis. The analysis is based on an asymptotic expansion with respect to the mass ratio. We show that the hyperbolicity of the systems which involve the heat flux as an independent variable requires a limitation on this heat flux.

scholarly journals Note on accuracy of the post-Newtonian approximation for extreme-mass ratio inspirals: retrograde orbits

2017 ◽  
Vol 35 (2) ◽  
pp. 027001 ◽  
Author(s):  
Ryuichi Fujita ◽  
Norichika Sago ◽  
Hiroyuki Nakano
Keyword(s):  
Mass Ratio ◽  
Newtonian Approximation

scholarly journals Analytical and Semianalytical Treatment of the Collinear Points in the Photogravitational Relativistic RTBP

2013 ◽  
Vol 2013 ◽  
pp. 1-17 ◽  
Author(s):  
S. E. Abd El-Bar ◽  
F. A. Abd El-Salam
Keyword(s):  
Mass Ratio ◽  
Gravitational Effects ◽  
Relativistic Corrections ◽  
Newtonian Approximation

The problem of restricted three bodies is considered. The treatment is carried out within the framework of the post-Newtonian approximation. The primaries also are assumed to be radiant sources. The locations of the collinear points are computed. Series forms of these locations are obtained as new results. A Mathematica program is constructed so as to draw the locations of collinear points versus the whole range of the mass ratioμtaking into account the photo-gravitational effects and/or the relativistic corrections. Analyses of these figures are addressed.

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