Publications of The Korean Astronomical Society (천문학논총)

The Korean Astronomical Society (한국천문학회)
권호 표지
DOI QR코드

DOI QR Code

ON THE TRIANGULAR EQUILIBRIUM POINTS IN THE ELLIPTIC RESTRICTED THREE-BODY PROBLEM UNDER RADIATION AND OBLATENESS EFFECTS

  • DERMAWAN, B. (Astronomy Research Division, Bandung Institute of Technology) ;
  • HUDA, I.N. (Undergraduate Program in Astronomy, Bandung Institute of Technology) ;
  • WIBOWO, R.W. (Graduate Program in Computational Science, Bandung Institute of Technology) ;
  • HIDAYAT, T. (Astronomy Research Division, Bandung Institute of Technology) ;
  • UTAMA, J.A. (Graduate Program in Astronomy, Bandung Institute of Technology) ;
  • MANDEY, D. (Graduate Program in Astronomy, Bandung Institute of Technology) ;
  • TAMPUBOLON, I. (Undergraduate Program in Astronomy, Bandung Institute of Technology)
  • Received : 2014.11.30
  • Accepted : 2015.06.30
  • Published : 2015.09.30
Download PDF
⟨ Previous Next ⟩

Abstract

This work considers the elliptic restricted three-body problem under effects of radiation of the bigger primary, and an oblate spheroid for the smaller primary to mimic an exoplanetary system with a gas giant planet. Under the influences of both effects we look for the existence of the triangular equilibrium points and the influences of the radiation and oblateness on the locations and motion of the points. We set the system in a normalized rotating coordinate system and derive equations of motion for the third infinitesimal object. Our study shows that the effects modify the equilateral/isosceles triangle shape with respect to the primaries. The triangular points also have non-planar motion with period depending on the value of the planet oblateness.

Keywords

References

  1. Ammar, M. K., 2008, The Effect of Solar Radiation Pressure on the Lagrangian Points in the Elliptic Restricted Three-Body Problem, Astrophys. Space Sci., 313, 393 https://doi.org/10.1007/s10509-007-9709-z
  2. Kumar, C. R., & Narayan, A., 2012, Existence and Stabil-ity of Collinear Equilibrium Points in Elliptical Restricted Three Body Problem under the Effects of Photogravita- tional and Oblateness Primaries, Int'l. J. Pure & Appl. Math., 80, 477.
  3. Narayan, A., & Singh, N., 2014, Motion and Stability of Tri-angular Equilibrium Points in Elliptical Restricted Three Body Problem under the Radiating Primaries, Astrophys. Space Sci., 352, 57 https://doi.org/10.1007/s10509-014-1903-1
  4. Singh, J., 2013, The Equilibrium Points in the Perturbed R3BP with Triaxial and Luminous Primaries, Astrophys. Space Sci., 346, 41 https://doi.org/10.1007/s10509-013-1420-7
  5. Singh, J. & Umar, A., 2012, Motion in the Photogravita-tional Elliptic Restricted Three-Body Problem under an Oblate Primary, AJ, 143:109 (22pp) https://doi.org/10.1088/0004-6256/143/5/109