2001
DOI: 10.1051/0004-6361:20010938
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The residual orbital eccentricity in close binaries

Abstract: Abstract. Density fluctuations in convective stars produce small variations of their outer gravitational field that give rise to a very small, though finite, orbital eccentricity in close binaries with convective components. We revisit the theory for such an effect, originally presented by Phinney (1992), and propose a new approach to compute the fluctuations of the outer gravitational field based on Chandrasekhar's virial theorem. It is applied to compute the eccentricities of binaries with a millisecond puls… Show more

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Cited by 21 publications
(20 citation statements)
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“…These processes could very well be density fluctuations in a convective envelope of the donor star (see ). Hence, the eccentricity of PSR J2051−0827 (6.2 × 10 −5 ) is much larger than the expected residual eccentricities (≤10 −8 ) for binary millisecond pulsars with a similar orbital period (Lanza & Rodonò 2001).…”
Section: Timing Resultsmentioning
confidence: 75%
“…These processes could very well be density fluctuations in a convective envelope of the donor star (see ). Hence, the eccentricity of PSR J2051−0827 (6.2 × 10 −5 ) is much larger than the expected residual eccentricities (≤10 −8 ) for binary millisecond pulsars with a similar orbital period (Lanza & Rodonò 2001).…”
Section: Timing Resultsmentioning
confidence: 75%
“…Eggleton (2006) discusses these processes and their associated amplitudes and timescales extensively. Random convective motions in the M dwarf could also lead to an eccentric orbit, since they induce fluctuations in the exterior gravitational field (Phinney 1992;Lanza & Rodonò 2001).…”
Section: Discussionmentioning
confidence: 99%
“…The quadrupole moment variation does not excite any orbital eccentricity because the period of the oscillation of the angle α is much longer than the orbital period (cf. Phinney 1992;Lanza & Rodonò 2001), so we shall assume r = 0 in our equations of motion. The first of equations ( 24) with r = 0 provides a generalization of the Kepler III law that we write…”
Section: Equations Of Motion Of the Binary Systemmentioning
confidence: 99%