Microlensing path parametrization for Earth-like Exoplanet detection around solar mass stars
L. de Almeida, J.-D. do Nascimento Jr

TL;DR
This paper introduces a new parametrization method for microlensing events involving Earth-like exoplanets around solar-mass stars, significantly speeding up detection processes for upcoming space missions.
Contribution
The authors propose a novel parametrization of impact parameters and angles that enhances the speed and efficiency of detecting Earth-like exoplanets via microlensing.
Findings
Results are 5 times faster than traditional methods.
Method maintains the same accuracy with fewer computational points.
Applicable to future space-based microlensing surveys.
Abstract
We propose a new parametrization of the impact parameter u0 and impact angle {\alpha} for microlensing systems composed by an Earth-like Exoplanet around a Solar mass Star at 1 AU. We present the caustic topology of such system, as well as the related light curves generated by using such a new parametrization. Based on the same density of points and accuracy of regular methods, we obtain results 5 times faster for discovering Earth-like exoplanet. In this big data revolution of photometric astronomy, our method will impact future missions like WFIRST (NASA) and Euclid (ESA) and they data pipelines, providing a rapid and deep detection of exoplanets for this specific class of microlensing event that might otherwise be lost.
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