scholarly journals Book Review: Periodic Perturbations of the Longitudes and Radii Vectores of the Four Inner Planets of the First Order as to the Masses

1892 ◽  
Vol 1 (5) ◽  
pp. 120-123
Author(s):  
Simon Newcomb
Keyword(s):  
First Order ◽  
Periodic Perturbations ◽  
The Masses

scholarly journals Electroweak phase transition with three phases in the SU(2)1 ⊗ SU(2)2 ⊗ U(1)Y model

2019 ◽  
Vol 34 (15) ◽  
pp. 1950073
Author(s):  
Vo Quoc Phong ◽  
Minh Anh Nguyen
Keyword(s):  
Phase Transition ◽  
Coupling Constant ◽  
Gauge Bosons ◽  
Electroweak Phase Transition ◽  
First Order ◽  
First Order Phase Transition ◽  
200 Gev ◽  
Strength Formula ◽  
The Masses ◽  
First Order Phase

Our analysis shows that SM-like electroweak phase transition (EWPT) in the [Formula: see text] (2-2-1) model is a first-order phase transition at the 200 GeV scale (the SM scale). Its strength [Formula: see text] is about 1–2.7 and the masses of new gauge bosons are larger than 1.7 TeV when the second VEV is larger than 535 GeV in a three-stage EWPT scenario and the coupling constant of [Formula: see text] group must be larger than 2. Therefore, this first-order EWPT can be used to fix VEVs and the coupling constant of the gauge group in electroweak models.

scholarly journals Correspondances Entre Une Theorie Generale Planetaire En Variables Elliptiques Et La Theorie Classique De Le Verrier

1978 ◽  
Vol 41 ◽  
pp. 15-32 ◽  
Author(s):  
L. Duriez
Keyword(s):  
General Theory ◽  
Classical Theory ◽  
Major Axis ◽  
Second Order ◽  
Semi Major Axis ◽  
First Order ◽  
Short Period ◽  
The Masses ◽  
Secular Terms

AbstractIn order to improve the determination of the mixed terms in classical theories, we show how these terms may be derived from a general theory developed with the same variables (of a keplerian nature). We find that the general theory of the first order in the masses already allows us to develop the mixed terms which appear at the second order in the classical theory. We also show that a part of the constant perturbation of the semi-major axis introduced in the classical theory is present in the general theory as very long-period terms; by developing these terms in powers of time, they would be equivalent to the appearance of very small secular terms (in t, t2, …) in the perturbation of the semi-major axes from the second order in the masses. The short period terms of the classical theory are found the same in the general theory, but without the numerical substitution of the values of the variables.

scholarly journals A Series-Solution Method for Cometary Orbits

1972 ◽  
Vol 45 ◽  
pp. 43-51
Author(s):  
P. E. Nacozy
Keyword(s):  
Series Solution ◽  
Solution Method ◽  
Successive Approximations ◽  
Method Of Successive Approximations ◽  
Reference Solution ◽  
Successive Interval ◽  
First Order ◽  
Order Solution ◽  
The Mean ◽  
The Masses

A series-solution method for highly-eccentric perturbed orbits using a modified form of Hansen's method of partial anomalies is presented. Series in Chebyshev polynomials in the eccentric anomaly of a comet and the mean anomaly at an epoch of a planet provide a theory valid to first order with respect to the masses. The first-order solution becomes a reference solution about which higher-order perturbations are obtained by the method of successive approximations. The first-order solutions are valid approximations for long durations of time, whereas the higher orders are valid only over the interval of time that is selected for the Chebyshev expansions. The method is somewhat similar to Encke's method of special perturbations except that for each successive interval of time perturbations about a first-order solution are calculated instead of perturbations about a conic solution.

scholarly journals Mesons and diquarks in a color superconducting regime

2022 ◽  
Author(s):  
Eric Blanquier
Keyword(s):  
Low Temperatures ◽  
Polyakov Loop ◽  
Coupling Constants ◽  
Isospin Symmetry ◽  
Color Superconductivity ◽  
Chiral Phase ◽  
First Order ◽  
Chemical Potentials ◽  
Pseudoscalar Mesons ◽  
The Masses

The behavior of the mesons and diquarks is studied at finite temperatures, chemical potentials and densities, notably when the color superconductivity is taken into account. The Nambu and Jona-Lasinio model complemented by a Polyakov loop (PNJL description) has been adapted in order to model them in this regime. This paper focuses on the scalar and pseudoscalar mesons and diquarks, in a three-flavor and three-color description, with the isospin symmetry and at zero strange density. An objective of this work is to underline the modifications carried out by the color superconducting regime on the used equations and on the obtained results. It has been observed that the two-flavor color-superconducting (2SC) phase affects the masses and the coupling constants of the mesons and diquarks in a non-negligible way. This observation is particularly true at high densities and low temperatures for the pions, [Formula: see text] and the diquarks [Formula: see text] whose color is [Formula: see text]. This reveals that the inclusion of the color superconductivity in the modeling is relevant to describe the mesons and diquarks near the first-order chiral phase transition.

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