skip to main content

Title: Secular evolution of the pulsar triple system J0337+1715

The pulsar triple system J0337+1715 is remarkably regular and highly hierarchical. Secular interactions transfer angular momentum between inner and outer orbits unless their apsidal lines are parallel or anti-parallel. These choices correspond to orthogonal eigenmodes p and are characterized by e{sub p,1}/e{sub p,2} ∼ a{sub 1}/a{sub 2} and e{sub a,1}/e{sub a,2} ∼ (a{sub 1}/a{sub 2}){sup –3/2}(m{sub 2}/m{sub 1}). Mode p dominates the current state so e{sub 1}/e{sub 2} remains close to e{sub p,{sub 1}}/e{sub p,} {sub 2}. A small contribution by Mode a causes e{sub 1} and e{sub 2} to oscillate with a period of ∼10{sup 3} yr which should be apparent in a few years. These will reveal the effects of general relativity, and possibly the distortion of the inner white dwarf (WD). Phinney proposes that the epicyclic energy of a WD-pulsar binary reaches equipartition with the kinetic energy of a single convective eddy when the WD's progenitor fills its Roche lobe. We extend Phinney's theory to apply to modes rather than individual orbits. Thus we predict that Mode p and Mode a achieved equipartition with eddies in the giant envelopes of the progenitors of the outer and inner WD, respectively. The most effective eddies are those with lifetimesmore » closest to the orbit period. These were far more energetic in the progenitor of the outer WD. This explains why Mode p overwhelms Mode a, and also why the inner binary's orbit is far more eccentric than orbits of other WD-pulsar binaries with similar orbit periods. Mode a's small but finite amplitude places a lower bound of Q ∼ 10{sup 6} on the tidal quality parameter of the inner WD.« less
Authors:
;  [1]
  1. California Institute of Technology, Pasadena, CA 91125 (United States)
Publication Date:
OSTI Identifier:
22365561
Resource Type:
Journal Article
Resource Relation:
Journal Name: Astrophysical Journal; Journal Volume: 790; Journal Issue: 1; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; AMPLITUDES; ANGULAR MOMENTUM TRANSFER; EVOLUTION; GENERAL RELATIVITY THEORY; INTERACTIONS; LIFETIME; ORBITS; PULSARS; ROCHE EQUIPOTENTIALS; WHITE DWARF STARS