The Automatic Detection of Near-Earth Asteroids in Co-Orbital State with Terrestrial Planets by Implementing Motif Discovery Algorithm Judhistira Aria Utama (a*), Lala Septem Riza (b), Muhammad Naufal Fazanadi (b)
a) Department of Physics Education, Universitas Pendidikan Indonesia, Jalan Dr. Setiabudhi 229, Bandung 40154, Indonesia
*j.aria.utama[at]upi.edu
b) Department of Computer Science Education, Universitas Pendidikan Indonesia, Jalan Dr. Setiabudhi 229, Bandung 40154, Indonesia
Abstract
Orbital computation of 3,372 real near-Earth asteroids (NEAs) population was conducted and their orbital evolution was recorded every 1,000 years for the next 5 Megayears (Myr). This study is aimed to detect asteroids in 1:1 mean-motion resonance (MMR) with planets. In order to achieve our goal, we employed N-body numerical simulation with the use of Swift-RMVS (Regularized Mixed-Variable Symplectic) integrator. We found that NEAs population could have evolved into asteroids in a co-orbital state with Terrestrial planets (Mercury to Mars). For the detection of this co-orbital condition a time series of motif discovery algorithm known in computer science was applied to asteroids orbital elements. The predicted results of the experiments carried out were then compared with one of the standard tool in astronomy, which showed that our model could prove the location of the motif and the duration of the asteroid in co-orbital state with each Terrestrial planets.
Keywords: Co-orbital state; Motif discovery; Near-earth asteroids; Orbital elements; Time series
