2007/08/07 by Gur Windmiller, Donald R. Short, Windmiller, Gur +4
Physics and Astronomy · #Astro and Planetary Science #Astrophysics (astro-ph) #FOS: Physical sciences #Scientific Research and Discoveries #Stellar, planetary, and galactic studies
paper · pdf · doi:10.48550/arxiv.0708.0898
openalex publication_date 2007/08/07 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
The body of work presented here revolves around the investigation of the\nexistence and nature of extra-solar planetary systems. The fitting of stellar\nradial velocity time series data is attempted by constructing a model to\nquantify the orbital properties of a star-planetary system. This is achieved\nwith the Planetary Orbit Fitting Process (POFP). Though specific to the\ninvestigated problem, the POFP is founded on two separate, more general ideas.\nOne is a Solver producing the gravitational dynamics of a Three-Body system by\nintegrating its Newtonian equations of motion. The other is an independent\noptimisation scheme. Both have been devised using MATLAB. Applying the\noptimisation to the Solver results in a realistic Three-Body dynamics that best\ndescribes the radial velocity data under the model-specific\norbital-observational constraints. Combining these aspects also allows for the\nstudy of dynamical instability derived from interaction, which is reaffirmed as\na necessary criterion for evaluating the fit. The validity of POFP solutions\nwith respect to the observations and other models is discussed in this context.\nThe underlying generality and fundamental principles demonstrate a larger frame\nof operation where problems in Physics and Mathematics can be solved with a\nmultitude of techniques.\n