# Is there a circumbinary planet around NSVS 14256825?

## TL;DR

This study re-examines eclipse timing variations in NSVS 14256825, suggesting a brown dwarf companion causes observed quasi-periodic changes rather than planets, based on 17 years of data and new eclipse timings.

## Contribution

It provides new eclipse timings, extends the observational baseline, and constrains the nature of the companion, favoring a brown dwarf over planets as the cause of timing variations.

## Key findings

- Quasi-sinusoidal (O-C) variations indicate a third body.
- The companion is likely a brown dwarf with ~15 Jupiter masses.
- Previous two-planet models are ruled out.

## Abstract

The cyclic behaviour of (O-C) residuals of eclipse timings in the sdB+M eclipsing binary NSVS 14256825 was previously attributed to one or two Jovian-type circumbinary planets. We report 83 new eclipse timings that not only fill in the gaps in those already published but also extend the time span of the (O-C) diagram by three years. Based on the archival and our new data spanning over more than 17 years we re-examined the up to date system (O-C). The data revealed systematic, quasi-sinusoidal variation deviating from an older linear ephemeris by about 100 s. It also exhibits a maximum in the (O-C) near JD 2,456,400 that was previously unknown. We consider two most credible explanations of the (O-C) variability: the light propagation time due to the presence of an invisible companion in a distant circumbinary orbit, and magnetic cycles reshaping one of the binary components, known as the Applegate or Lanza-Rodono effect. We found that the latter mechanism is unlikely due to the insufficient energy budget of the M-dwarf secondary. In the framework of the third-body hypothesis, we obtained meaningful constraints on the Keplerian parameters of a putative companion and its mass. Our best-fitting model indicates that the observed quasi-periodic (O-C) variability can be explained by the presence of a brown dwarf with the minimal mass of 15 Jupiter masses rather than a planet, orbiting the binary in a moderately elliptical orbit (~ 0.175) with the period of ~ 10 years. Our analysis rules out two planets model proposed earlier.