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

@article{Murphy2015DerivingTO,
  title={Deriving the orbital properties of pulsators in binary systems through their light arrival time delays},
  author={Simon J. Murphy and Hiromoto Shibahashi},
  journal={Monthly Notices of the Royal Astronomical Society},
  year={2015},
  volume={450},
  pages={4475-4485}
}
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 KIC 9651065, KIC 10990452 and KIC 8264492, and a set of… 
Finding binaries from phase modulation of pulsating stars with Kepler
Binary orbital motion causes a periodic variation in the path length travelled by light emitted from a star towards us. Hence, if the star is pulsating, the observed phase of the pulsation varies
Binary star detectability in Kepler data from phase modulation of different types of oscillations
Detecting binary stars in photometric time series is traditionally done by measuring eclipses. This requires the orbital plane to be aligned with the observer. A new method without that requirement
Asteroseismic search for invisible binary companions
Abstract Continuous and precise space-based photometry has made it possible to measure the orbital frequency modulation of pulsating stars in binary systems with extremely high precision over long
Orbital solutions derived from radial velocities and time delays for four Kepler systems with A/F-type (candidate) hybrid pulsators
The presence of A/F-type {\it Kepler} hybrid stars extending across the entire $\delta$ Sct-$\gamma$ Dor instability strips and beyond remains largely unexplained. In order to better understand these
Spectroscopic confirmation of the binary nature of the hybrid pulsator KIC 5709664 found with the frequency modulation method
We started a program to search for companions around hybrid δ Sct/γ Dor stars with the frequency modulation method using Kepler data. Our best candidate was KIC 5709664, where we could identify
Forward Modeling the Orbits of Companions to Pulsating Stars from Their Light Travel Time Variations
Mutual gravitation between a pulsating star and an orbital companion leads to a time-dependent variation in path length for starlight traveling to Earth. These variations can be used for coherently
Finding binaries from phase modulation of pulsating stars with Kepler – IV. Detection limits and radial velocity verification
We explore the detection limits of the phase modulation (PM) method of finding binary systems among multi-periodic pulsating stars. The method is an attractive way of finding non-transiting planets
Finding binaries from phase modulation of pulsating stars with Kepler – VI. Orbits for 10 new binaries with mischaracterized primaries
Measuring phase modulation in pulsating stars has proved to be a highly successful way of finding binary systems. The class of pulsating main-sequence A and F variables known as delta Scuti stars are
Catalogue and Properties of δ Scuti Stars in Binaries
The catalogue contains 199 confirmed cases of binary systems containing at least one pulsating component of {\delta} Scuti type. The sample is divided into subgroups in order to describe the
Finding binaries from phase modulation of pulsating stars with Kepler: V. Orbital parameters, with eccentricity and mass-ratio distributions of 341 new binaries
The orbital parameters of binaries at intermediate periods (102–103 d) are difficult to measure with conventional methods and are very incomplete. We have undertaken a new survey, applying our
...
...

References

SHOWING 1-9 OF 9 REFERENCES
Finding binaries among Kepler pulsating stars from phase modulation of their pulsations
We present a method for finding binaries among pulsating stars that were observed by the Kepler Mission. We use entire 4 yr light curves to accurately measure the frequencies of the strongest
Determination of the orbital parameters of binary pulsars
We present a simple, novel method for determining the orbital parameters of binary pulsars. This method works with any sort of orbital sampling, no matter how sparse, provided that information on the
FM stars: A Fourier view of pulsating binary stars, a new technique for measuring radial velocities photometrically
Some pulsating stars are good clocks. When they are found in binary stars, the frequencies of their luminosity variations are modulated by the Doppler effect caused by orbital motion. For each
Super-Nyquist asteroseismology with the Kepler Space Telescope
Barycentric corrections made to the timing of Kepler observations, necessitated by variations in light arrival time at the satellite, break the regular time-sampling of the data -- the time stamps
An O−C (and light travel time) method suitable for application to large photometric databases
The standard method of studying period changes in variable stars is to study the timing residuals or O−C values of light-curve maxima or minima. The advent of photometric surveys for variability,
An examination of some characteristics of Kepler short- and long-cadence data
A close comparison of Kepler short- and long-cadence data released prior to 2011 November 1 has shown some subtle differences that make the short-cadence data superior to their long-cadence
Methods of Celestial Mechanics