2015arXiv (Cornell University)Open access

DETECTION LEVEL ENHANCEMENTS OF GRAVITATIONAL MICROLENSING EVENTS FROM LIGHT CURVES

Ichsan Ibrahim, Hakim L. Malasan, Mitra Djamal, Chatief Kunjaya, Anton Timur Jelani, Gerhana Puannandra Putri

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Abstract

In Astronomy, intensity of the source light is expressed in magnitude. Conventionally, magnitude is defined by logarithmic function of the received flux. This relationship is known as Pogson formulae. For received flux with small signal to noise ratio (S/N), the formulae gives large magnitude error. We want to inspect whether using Inverse Hyperbolic Sine function (hereinafter referred to as Asinh magnitude) can give an alternative calculation of magnitudes for small S/N flux and gives better results to represent the magnitude for that region. We study the possibility of increasing detection level of gravitational microlensing from 40 selected microlensing events light curves for 2013 and 2014 season by using Asinh magnitude. We obtained that the use of the Asinh make the events brighter than using logarithmic with average of about 3.42 x 10^-2 magnitude. We find also average of magnitude error difference between logarithmic magnitude and Asinh magnitude to is about 2.21 x 10^-2 magnitude, so we propose a limit of magnitude to begin using formulas Asinh.

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What this paper is about

In Astronomy, intensity of the source light is expressed in magnitude. Conventionally, magnitude is defined by logarithmic function of the received flux. This relationship is known as Pogson formulae. For received flux with small signal to noise ratio (S/N), the formulae gives large magnitude error. We want to inspect whether using Inverse Hyperbolic Sine function (hereinafter referred to as Asinh magnitude) can give an alternative calculation of magnitudes for small S/N flux and gives better results to represent the magnitude for that region. We study the possibility of increasing detection level of gravitational microlensing from 40 selected microlensing events light curves for 2013 and 2014 season by using Asinh magnitude. We obtained that the use of the Asinh make the events brighter than using logarithmic with average of about 3.42 x 10^-2 magnitude. We find also average of magnitude error difference between logarithmic magnitude and Asinh magnitude to is about 2.21 x 10^-2 magnitude, so we propose a limit of magnitude to begin using formulas Asinh.

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Available abstract

In Astronomy, intensity of the source light is expressed in magnitude. Conventionally, magnitude is defined by logarithmic function of the received flux. This relationship is known as Pogson formulae. For received flux with small signal to noise ratio (S/N), the formulae gives large magnitude error. We want to inspect whether using Inverse Hyperbolic Sine function (hereinafter referred to as Asinh magnitude) can give an alternative calculation of magnitudes for small S/N flux and gives better results to represent the magnitude for that region. We study the possibility of increasing detection level of gravitational microlensing from 40 selected microlensing events light curves for 2013 and 2014 season by using Asinh magnitude. We obtained that the use of the Asinh make the events brighter than using logarithmic with average of about 3.42 x 10^-2 magnitude. We find also average of magnitude error difference between logarithmic magnitude and Asinh magnitude to is about 2.21 x 10^-2 magnitude, so we propose a limit of magnitude to begin using formulas Asinh.

Key concepts: Magnitude (astronomy), Gravitational microlensing, Logarithm, Absolute magnitude, Physics, Richter magnitude scale, Apparent magnitude, Flux (metallurgy)

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