Algebraic Properties of the Real Quintic Equation for a Binary Gravitational Lens(Astrophysics and Relativity)
スポンサーリンク
概要
- 論文の詳細を見る
It has been recently shown that the lens equation for a binary gravitational lens, which is apparently a coupled system, can be reduced to a real fifth-order (quintic) algebraic equation. Some algebraic properties of the real quintic equation are revealed. We find that the number of images on each side of the separation axis is independent of the mass ratio and separation unless the source crosses the caustics. Furthermore, the discriminant of the quintic equation enables us to study changes in the number of solutions, namely in the number of images. It is shown that this discriminant can be factorized into two parts : One represents the condition that the lens equation can be reduced to a single quintic equation, while the other corresponds to the caustics.
- 理論物理学刊行会の論文
- 2002-12-25
著者
-
KASAI Masumi
Faculty of Science and Technology, Hirosaki University
-
ASADA Hideki
Faculty of Science and Technology, Hirosaki University
-
KASAI Masumi
Department of Physics, Hirosaki University
-
Asada H
Hirosaki Univ. Aomori
-
Asada Hideki
Kobe University
-
Asada Hideki
Faculty Of Science And Technology Hirosaki University
-
Kasai M
Faculty Of Science And Technology Hirosaki University
-
Kasai Masumi
Faculty Of Science And Technology Hirosaki University
-
KASAI Taketoshi
Faculty of Science and Technology, Hirosaki University
-
Kasai Taketoshi
Faculty Of Science And Technology Hirosaki University
-
ASADA Hideki
Yukawa Institute for Theoretical Physics, Kyoto University
-
ASADA Hideki
Faculty of Science and Technology, Hirosaki University:Max-Planck-Institut fur Astrophysik
-
ASADA Hideki
Faculty of Science and Technology, Hirosaki University:Max-Planck-Institute fur Gravitationsphysik
関連論文
- Toward a No-Go Theorem for an Accelerating Universe through a Nonlinear Backreaction
- Kaluza-Klein Inflation with Non-Minimally Coupled Scalar Field : Progress Letters
- Distances in Inhomogeneous Cosmological Models
- A Diagnosis System for the Rotor Cage of Induction Motor Using Fuzzy Reasoning Method
- Adaptive and Robust Control Method with Estimation of Rolling Characteristics for Looper Angle Control at Hot Strip Mill
- Gravitational Microlensing in Modified Gravity Theories : Inverse-Square Theorem
- General Relativistic Effects of Gravity in Quantum Mechanics : A Case of Ultra-Relativistic,Spin 1/2 Particles : Astrophysics and Relativity
- Euclidean Algorithm for a Gravitational Lens in a Polynomial Equation(Astrophysics and Relativity)
- Algebraic Properties of the Real Quintic Equation for a Binary Gravitational Lens(Astrophysics and Relativity)
- Irrotational and Incompressible Ellipsoids in the First Post-Newtonian Approximation of General Relativity : Astrophysics and Relativity
- Inversion Formula for Determining the Parameters of an Astrometric Binary
- The Triangulation in a Perturbed Friedmann Universe : Astrophysics and Relativity
- Can We See a Rotating Gravitational Lens?
- Do Relativistic Corrections Affect Microlensing Amplification?
- Non-Linear Vorticity-Density Coupling in Lagrangian Dynamics
- Effects of Mutual Transits by Extrasolar Planet-Companion Systems on Light Curves
- Chapter 2 Post-Newtonian Approximation : Its Foundation and Applications
- Post-Newtonian Hydrodynamic Equations Using the (3+1) Formalism in General Relativity
- Post-Newtonian Equations of Motion in the Flat Universe : Astrophysics and Relativity
- Transiting Extrasolar Planet with a Companion : Effects of Orbital Eccentricity and Inclination
- Note on an Inversion Formula to Determine Binary Elements by Astrometry
- Perturbation Theory of Multi-Plane Lens Effects in Terms of Mass Ratios : Approximate Expressions of Lensed-Image Positions for Two Lens Planes(Astrophysics and Cosmology)
- A Parametric Representation of Critical Curves and Caustics for a Binary Gravitational Lens(Astrophysics and Relativity)
- Five Point Mass Gravitational Lenses in a Rhombus as a Soluble Model Giving the Maximum Number of Images(Astrophysics and Cosmology)
- Toward a No-Go Theorem for an Accelerating Universe through a Nonlinear Backreaction
- Gravitational Microlensing in Modified Gravity Theories : Inverse-Square Theorem
- Irrotational and Incompressible Ellipsoids in the First Post-Newtonian Approximation of General Relativity : Astrophysics and Relativity
- General Relativistic Effects of Gravity in Quantum Mechanics : A Case of Ultra-Relativistic,Spin 1/2 Particles : Astrophysics and Relativity