caa a22 4500 467949298 CHVBK 20180405193740.0 cr unu---uuuuu 170328e20050101xx s 000 0 eng 10.1007/s11232-005-0080-3 doi (NATIONALLICENCE)springer-10.1007/s11232-005-0080-3 (NATIONALLICENCE)springer-10.1007/s11232-005-0014-0 Gorbatenko M. Russian Federal Nuclear Center, All-Russian Research Institute for Experimental Physics, Sarov, Nizhny Novgorod Oblast, Russia aut Obtaining equations of motion for charged particles in the ( v/c )3-approximation by the Einstein-Infeld-Hoffmann method [Elektronische Daten] [M. Gorbatenko] We consider some principal methodological problems that appear when the Einstein-Infeld-Hoffmann method is used to find approximate solutions of the general relativity equations and to obtain information about the motion of particles whose interaction force is much greater than the gravitational attraction force. Among these problems are normalizing approximate expressions by expanding exact solutions written in the same coordinate conditions used in the Einstein-Infeld-Hoffmann method, assigning the smallness orders depending on relations between the smallness parameters in play, and verifying cancellations of divergent terms arising in surface integrals. Solving these questions in accordance with the internal logic of the Einstein-Infeld-Hoffmann method results in new tools and techniques for applying the method. We demonstrate these tools and techniques in the example of the problem of the motion of two electrically charged pointlike particles in the (v/c)3-approximation. Springer Science+Business Media, Inc., 2005 Einstein-Infeld-Hoffmann method nationallicence equations of motion in post-post-Coulomb approximation nationallicence radiation friction force nationallicence Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 142/1(2005-01-01), 138-152 0040-5779 142:1<138 2005 142 11232 https://doi.org/10.1007/s11232-005-0080-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-005-0080-3 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Gorbatenko M. Russian Federal Nuclear Center, All-Russian Research Institute for Experimental Physics, Sarov, Nizhny Novgorod Oblast, Russia aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 142/1(2005-01-01), 138-152 0040-5779 142:1<138 2005 142 11232 NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-005-0014-0 text/html Onlinezugriff via DOI Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE NATIONALLICENCE NL-springer