2015/01/15 by M. Crosta, Crosta, Mariateresa, Alberto Vecchiato +5 · 1 citation
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Gamma-ray bursts and supernovae #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #Statistical and numerical algorithms
paper · pdf · doi:10.48550/arxiv.1501.03705
openalex publication_date 2015/01/15 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
This paper presents the analytical solution of the inverse ray tracing\nproblem for photons emitted by a star and collected by an observer located in\nthe gravitational field of the Solar System. This solution has been conceived\nto suit the accuracy achievable by the ESA Gaia satellite (launched on December\n19, 2013) consistently with the measurement protocol in General relativity\nadopted within the RAMOD framework. Aim of this study is to provide a general\nrelativistic tool for the science exploitation of such a revolutionary mission,\nwhose main goal is to trace back star directions from within our local curved\nspace-time, therefore providing a three-dimensional map of our Galaxy. The\nresults are useful for a thorough comparison and cross-checking validation of\nwhat already exists in the field of Relativistic Astrometry. Moreover, the\nanalytical solutions presented here can be extended to model other measurements\nthat require the same order of accuracy expected for Gaia.\n