A Mathematical Model for Simulating Meteor Showers

Authors

  • Marcos Cardinot Department of Information Technology, National University of Ireland Galway, Ireland, H91TK33 https://orcid.org/0000-0001-6566-0139
  • Anderson Namen Polytechnic Institute, Rio de Janeiro State University, Rua Bonfim 25, Vila Amélia, 28625-570, Nova Friburgo, RJ, Brazil Veiga de Almeida University, Rua Ibituruna 108, 20271-901, Maracanã, RJ, Brazil https://orcid.org/0000-0002-5379-4495

DOI:

https://doi.org/10.5540/tema.2019.020.01.1

Keywords:

Computational Modeling, Meteors, Meteor Showers, Stellarium.

Abstract

This paper presents a mathematical model to simulate the trajectory of a meteor as seen by a single observer located anywhere on Earth. Our strategy is to define a new coordinate system, called Radiant Coordinate System, which is centered on the observer and has its z-axis aligned with the radiant. This new coordinate system allows us to describe the meteors’ path by applying a reduced number of equations in a simple solution. We also present a computational implementation of this model, which is developed as a new plug-in of Stellarium, a free and open-source planetarium software. Moreover, we show that our model can be used to simulate both meteor showers and sporadic meteors. In particular, meteor showers are simulated using data provided by real catalogs.

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Published

2019-05-20

How to Cite

Cardinot, M., & Namen, A. (2019). A Mathematical Model for Simulating Meteor Showers. Trends in Computational and Applied Mathematics, 20(1), 1. https://doi.org/10.5540/tema.2019.020.01.1

Issue

Vol. 20 No. 1 (2019)

Section

Original Article

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