Coalescing Binary Systems of Compact Objects to (Post)5/2 Newtonian Order: Late Time Evolution and Gravitational Radiation Emission

Feb 27, 1990
77 pages
Published in:
  • Phys.Rev.D 42 (1990) 1123-1143
Report number:
  • PRINT-90-0130 (WASH.U.,ST.LOUIS)

Citations per year

19901999200820172025024681012
Abstract: (APS)
The late-time evolution of binary systems of compact objects (neutron stars or black holes) is studied using the Damour-Deruelle (post)5/2-Newtonian equations of motion with relativistic corrections of all orders up to and including radiation reaction. Using the method of osculating orbital elements from celestial mechanics, we evolve the orbits to separations of r≈2m, where m is the total mass, at which point the (post)5/2-Newtonian approximation breaks down. With the orbits as input, we calculate the gravitational wave form and luminosity using a post-Newtonian formalism of Wagoner and Will. Results are obtained for systems containing various combinations of compact objects, for various values of the mass ratio m1m2, and for various initial values of the orbital eccentricity.
  • n: matter
  • black hole
  • gravitational radiation
  • mechanics: orbit
  • luminosity
  • numerical calculations