Parametrized post-post-Newtonian analytical solution for light propagation
| dc.creator | Klioner, Sergei A. | |
| dc.creator | Zschocke, Sven | |
| dc.date | 2009-02-24 | |
| dc.date.accessioned | 2026-07-07T12:46:16Z | |
| dc.date.available | 2026-07-07T12:46:16Z | |
| dc.description | An analytical solution for light propagation in the post-post-Newtonian approximation is given for the Schwarzschild metric in harmonic gauge augmented by PPN and post-linear parameters $β$, $γ$ and $ε$. The solutions of both Cauchy and boundary problem are given. The Cauchy problem is posed using the initial position of the photon $\ve{x}_0 = \ve{x}(t_0)$ and its propagation direction \veσ at minus infinity: $\veσ = {1\over c} \lim\limits_{t \to -\infty}\dot{\ve{x}}(t)$. An analytical expression for the total light deflection is given. The solutions for $t - t_0$ and $\veσ$ are given in terms of boundary conditions $\ve{x}_0 = \ve{x} (t_0)$ and $\ve{x} = \ve{x}(t)$. | |
| dc.description | 12 pages, 0 figures, Report of astrometric mission GAIA | |
| dc.identifier | https://arxiv.org/abs/0902.4206 | |
| dc.identifier | http://arxiv.org/abs/0902.4206 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221326 | |
| dc.subject | Instrumentation and Methods for Astrophysics | |
| dc.title | Parametrized post-post-Newtonian analytical solution for light propagation | |
| dc.type | text |