Algebraic Properties of the Real Quintic Equation for a Binary Gravitational Lens

Details Algebraic Properties of the Real Quintic Equation for a Binary Gravitational Lens Algebraic Properties of the Real Quintic Equation for a Binary Gravitational Lens

2002-11-18

arxiv.org/abs/astro-ph/0211390v1

Prog.Theor.Phys. 108 (2002) 1031

Astronomy and Astrophysics

Astrophysics

7 pages (PTPTeX); accepted for publication in Prog. Theor. Phys

Scientific paper

10.1143/PTP.108.1031

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.

Affiliated with

Also associated with

No associations

Rating

Algebraic Properties of the Real Quintic Equation for a Binary Gravitational Lens does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Algebraic Properties of the Real Quintic Equation for a Binary Gravitational Lens, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Algebraic Properties of the Real Quintic Equation for a Binary Gravitational Lens will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-508408