### Abstract

We study the possibility of the detection of the low amplitude long (P′) period perturbative effect of a distant third companion on the motion of a close binary. We give a new, more accurate analytical formula for this kind of perturbation affecting the moments of the times of minima in eclipsing binaries. The accuracy of this formula is tested by numerical integrations carried out for several initial configurations. We also describe a numerical method based on a non-linear Levenberg-Marquardt algorithm which makes it possible to separate this dynamical effect from the pure geometrical light-time effect in the eclipsing O-C diagram. The capabilities of this new method are demonstrated by the analysis of numerically simulated O-Cs for test systems having physical parameters very similar to Algol and IU Aur. The results show that the above mentioned effect would be detectable in these systems nowadays, observing almost each minima events in a 1-2 year-long interval.

Original language | English |
---|---|

Pages (from-to) | 1091-1102 |

Number of pages | 12 |

Journal | Astronomy and Astrophysics |

Volume | 398 |

Issue number | 3 |

Publication status | Published - Feb 2003 |

### Fingerprint

### Keywords

- Binaries: close
- Binaries: eclipsing
- Celestial mechanics
- Methods: analytical
- Methods: numerical

### ASJC Scopus subject areas

- Space and Planetary Science

### Cite this

*Astronomy and Astrophysics*,

*398*(3), 1091-1102.

**On the detectability of long period perturbations in close hierarchical triple stellar systems.** / Borkovits, T.; Érdi, B.; Forgács-Dajka, E.; Kovács, T.

Research output: Contribution to journal › Article

*Astronomy and Astrophysics*, vol. 398, no. 3, pp. 1091-1102.

}

TY - JOUR

T1 - On the detectability of long period perturbations in close hierarchical triple stellar systems

AU - Borkovits, T.

AU - Érdi, B.

AU - Forgács-Dajka, E.

AU - Kovács, T.

PY - 2003/2

Y1 - 2003/2

N2 - We study the possibility of the detection of the low amplitude long (P′) period perturbative effect of a distant third companion on the motion of a close binary. We give a new, more accurate analytical formula for this kind of perturbation affecting the moments of the times of minima in eclipsing binaries. The accuracy of this formula is tested by numerical integrations carried out for several initial configurations. We also describe a numerical method based on a non-linear Levenberg-Marquardt algorithm which makes it possible to separate this dynamical effect from the pure geometrical light-time effect in the eclipsing O-C diagram. The capabilities of this new method are demonstrated by the analysis of numerically simulated O-Cs for test systems having physical parameters very similar to Algol and IU Aur. The results show that the above mentioned effect would be detectable in these systems nowadays, observing almost each minima events in a 1-2 year-long interval.

AB - We study the possibility of the detection of the low amplitude long (P′) period perturbative effect of a distant third companion on the motion of a close binary. We give a new, more accurate analytical formula for this kind of perturbation affecting the moments of the times of minima in eclipsing binaries. The accuracy of this formula is tested by numerical integrations carried out for several initial configurations. We also describe a numerical method based on a non-linear Levenberg-Marquardt algorithm which makes it possible to separate this dynamical effect from the pure geometrical light-time effect in the eclipsing O-C diagram. The capabilities of this new method are demonstrated by the analysis of numerically simulated O-Cs for test systems having physical parameters very similar to Algol and IU Aur. The results show that the above mentioned effect would be detectable in these systems nowadays, observing almost each minima events in a 1-2 year-long interval.

KW - Binaries: close

KW - Binaries: eclipsing

KW - Celestial mechanics

KW - Methods: analytical

KW - Methods: numerical

UR - http://www.scopus.com/inward/record.url?scp=0037319684&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037319684&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0037319684

VL - 398

SP - 1091

EP - 1102

JO - Astronomy and Astrophysics

JF - Astronomy and Astrophysics

SN - 0004-6361

IS - 3

ER -