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      https://www.ias.ac.in/article/fulltext/joaa/039/03/0029

    • Keywords

       

      Celestial mechanics; CRTBP; radiation; oblateness; asteroid; trajectory; chaos.

    • Abstract

       

      Regular monitoring the trajectory of asteroids to a future time is a necessity, because the variety of known probably unsafe near-Earth asteroids are increasing. The analysis is perform to avoid any incident or whether they would have a further future threat to the Earth or not. Recently a new Near Earth Asteroid (2017 SB20) has been observed to cross the Earth orbit. In view of this we obtain the trajectory of Asteroid in the circular restricted three body problem with radiation pressure and oblateness.We examine nature of Asteroid’sorbit with Lyapunov Characteristic Exponents (LCEs) over a finite intervals of time. LCE of the system confirms that the motion of asteroid is chaotic in nature. With the effect of radiation pressure and oblateness the length of curve varies in both the planes. Oblateness factor is found to be more perturbative than radiation pressure. To see the precision of result obtain from numerical integration we show the error propagation and the numerical stability is assured around the singularity by applying regularized equations of motion for precise long-term study.

    • Author Affiliations

       

      RISHIKESH DUTTA TIWARY1 BADAM SINGH KUSHVAH1 BHOLA ISHWAR2

      1. Department of Applied Mathematics, Indian Institute of Technology(ISM), Dhanbad 826004, India
      2. B.R.A. Bihar University, Muzaffarpur 834001, India
    • Dates

       
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