Deriving the orbital properties of pulsators in binary systems through their light arrival time delays

Abstract

We present the latest developments to the phase modulation method for finding binaries among pulsating stars. We demonstrate how the orbital elements of a pulsating binary star can be obtained analytically, that is, without converting time delays to radial velocities by numerical differentiation. Using the time delays directly offers greater precision, and allows the parameters of much smaller orbits to be derived. The method is applied to KIC9651065, KIC10990452, and KIC8264492, and a set of the orbital parameters is obtained for each system. Radial velocity curves for these stars are deduced from the orbital elements thus obtained.

12 pages, 26 figures, 8 tables, accepted for publication in MNRAS

References in corpus (1)

• Finding binaries among Kepler pulsating stars from phase modulation of their pulsations

Cited by in corpus (15)

• Finding binaries from phase modulation of pulsating stars with Kepler: V. Orbital parameters, with eccentricity and mass-ratio distributions of 341 new binaries
• The effect of tides on near-core rotation: analysis of 35 Kepler $\gamma$ Doradus stars in eclipsing and spectroscopic binaries
• A planet in an 840-d orbit around a Kepler main-sequence A star found from phase modulation of its pulsations
• Finding binaries from phase modulation of pulsating stars with Kepler. IV. Detection limits and radial velocity verification
• Transiting Planets near the Snow Line from Kepler. I. Catalog
• Metal-Rich SX Phe stars in the Kepler Field
• Asteroseismology of KIC 7107778: a binary comprising almost identical subgiants
• The roAp stars observed by the Kepler Space Telescope
• Spectroscopic and asteroseismic analysis of the remarkable main-sequence A star KIC 11145123
• V456 Cyg: An eclipsing binary with tidally perturbed g-mode pulsations
• A binary with a $\delta$~Scuti star and an oscillating red giant: orbit and asteroseismology of KIC9773821
• Spectroscopic confirmation of the binary nature of the hybrid pulsator KIC 5709664 found with the frequency modulation method
• Orbital solutions derived from radial velocities and time delays for four {\it Kepler} systems with A/F-type (candidate) hybrid pulsators
• The $\beta$ Pictoris b Hill sphere transit campaign. Paper II: Searching for the signatures of the $\beta$ Pictoris exoplanets through time delay analysis of the $\delta$ Scuti pulsations
• A search for transits among the δ Scuti variables in Kepler