Potential Tertiary Effects on the LISA Verification Binary HM Cancri

Abstract

Two groups recently analyzed the long-term orbital evolution of HM Cancri, which is one of the most important verification binaries for the space gravitational wave detector LISA. By using the reported first and second derivatives of its orbital frequency $f$, we discuss potential tertiary effects on this binary. We found that, in contrast to the first derivative $\dot{f}$, the second derivative $\ddot{f}$ might be strongly affected by a dark tertiary component such as an old white dwarf with an outer orbital period of $\sim$250 years.

arXiv comment5 pages, accepted for publication in MNRAS

References in corpus (23)

• TianQin: a space-borne gravitational wave detector
• Modules for Experiments in Stellar Astrophysics (MESA): Pulsating Variable Stars, Rotation, Convective Boundaries, and Energy Conservation
• The Eccentric Kozai-Lidov Effect and Its Applications
• Tertiary companions to close spectroscopic binaries
• Mass Transfer between Double White Dwarfs
• LISA verification binaries with updated distances from Gaia Data Release 2
• The binarity of the local white dwarf population
• Science with the TianQin Observatory: Preliminary results on Galactic double white dwarf binaries
• RXJ0806.3+1527: a double degenerate binary with the shortest known orbital period (321s)
• A multi-messenger study of the Milky Way's stellar disc and bulge with LISA, Gaia and LSST
• Detecting hierarchical stellar systems with LISA
• Evolution of Close White Dwarf Binaries
• RX J0806+15: the shortest period binary?
• PSR J1024-0719: A Millisecond Pulsar in an Unusual Long-Period Orbit
• A millisecond pulsar in an extremely wide binary system
• Precision X-ray Timing of RX J0806.3+1527 with CHANDRA: Evidence for Gravitational Radiation from an Ultracompact Binary
• Listening to the gravitational wave sound of circumbinary exoplanets
• The Turn-On of Mass Transfer in AM CVn Binaries: Implications for RX J0806+1527 and RX J1914+2456
• Detecting Planets around Compact Binaries with Gravitational Wave Detectors in Space
• Two decades of optical timing of the shortest-period binary star system HM Cancri
• Degeneracy between mass and peculiar acceleration for the double white dwarfs in the LISA band
• Tracking the Long-Term GW Phase Evolution for HM Cancri-like Binaries with LISA
• Taking the pulse of the shortest orbital period binary system RX J0806.3+1527

Cited by in corpus (3)

• Gravitational Wave Astronomy With TianQin
• LISA double white dwarf binaries as Galactic accelerometers
• Perturbative Frequency Expansion for Nearly Monochromatic Binary Black Holes Detectable with LISA