2016/01/28 by Rajib Mia, Badam Singh Kushvah · 9 citations
Physics and Astronomy · #Astro and Planetary Science #Astronomy #Astrophysics #Astrophysics and Star Formation Studies #Celestial mechanics #Kepler #Kepler's laws of planetary motion #Orbital mechanics #Physics #Planetary system #Stars #Stellar, planetary, and galactic studies #astro-ph.EP #msc:70F15
paper · pdf · doi:10.1093/mnras/stw086
published in Monthly Notices of the Royal Astronomical Society 457(1), 1089-1100 (Oxford University Press) · E-mail:[email protected], [email protected]
openalex publication_date 2016/01/28 · arxiv created 2016/02/12 · arxiv updated 2016/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The presence of mean-motion resonances (MMRs) in exoplanetary systems is a new exciting field of celestial mechanics which motivates us to consider this work to study the dynamical behaviour of exoplanetary systems by time evolution of the orbital elements of the planets. Mainly, we study the influence of planetary perturbations on semimajor axis and eccentricity. We identify (r + 1): r MMR terms in the expression of disturbing function and obtain the perturbations from the truncated disturbing function. Using the expansion of the disturbing function of three-body problem and an analytical approach, we solve the equations of motion. The solution which is obtained analytically is compared with that of obtained by numerical method to validate our analytical result. In this work, we consider three exoplanetary systems namely Kepler-62, HD 200964 and Kepler-11. We have plotted the evolution of the resonant angles and found that they librate around constant value. In view of this, our opinion is that two planets of each system Kepler-62, HD 200964 and Kepler-11 are in 2:1, 4:3 and 5:4 mean motion resonances, respectively.