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Query : 1999MNRAS.304..720K |
1999MNRAS.304..720K - Mon. Not. R. Astron. Soc., 304, 720-732 (1999/April-3)
Studies of multiple stellar systems - II. Second-order averaged Hamiltonian to follow long-term orbital modulations of hierarchical triple systems.
KRYMOLOWSKI Y. and MAZEH T.
Abstract (from CDS):
We use an expansion of the Hamiltonian of hierarchical triple systems with the small parameter characterizing these systems – the semi-major axis ratio. Two terms of the Hamiltonian of the interaction between the two orbital motions are averaged by the von Ziepel method, yielding second-order equations which describe the long-term behaviour of the orbital elements.
We test the second-order theory by comparing its prediction for the inner eccentricity modulation with that obtained from numerical integration of Newton's equations. The theory predicts very well the modulation amplitude and time-scale. This is demonstrated in three cases – low, intermediate and high inclination.
The series expansion of the interaction in Legendre polynomials, and the two terms that we keep in particular, enables us to distinguish between the contributions of the two different terms to the inner eccentricity modulation in the various configurations studied.
Abstract Copyright: 1999, Royal Astronomical Society
Journal keyword(s): celestial mechanics, stellar dynamics - binaries: close - binaries: general
Simbad objects: 6
Number of rows : 6 |
N | Identifier | Otype |
ICRS (J2000) RA |
ICRS (J2000) DEC |
Mag U | Mag B | Mag V | Mag R | Mag I | Sp type |
#ref
1850 - 2024 |
#notes |
---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | V* NP Ser | LXB | 18 16 01.389 | -14 02 10.62 | 18.8 | K | 642 | 2 | ||||
2 | V* TY CrA | Ae* | 19 01 40.8284458320 | -36 52 33.816176040 | 10.03 | 9.92 | 9.39 | B9e | 285 | 0 | ||
3 | V* V1405 Aql | LXB | 19 18 47.871 | -05 14 17.09 | 20.90 | 21.40 | 21.0 | ~ | 474 | 0 | ||
4 | * 16 Cyg A | ** | 19 41 48.9534996168 | +50 31 30.219536784 | 6.79 | 6.59 | 5.95 | 5.50 | 5.17 | G1.5Vb | 762 | 0 |
5 | * 16 Cyg B | PM* | 19 41 51.9726777456 | +50 31 03.089030916 | 7.07 | 6.86 | 6.20 | 5.76 | 5.42 | G3V | 890 | 1 |
6 | V* V1727 Cyg | LXB | 21 31 26.2133156448 | +47 17 24.512055396 | 16.75 | 17.05 | 16.4 | ~ | 240 | 0 |
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