A Tabulation of Dynamical Characteristics

This page lists dynamical properties of published multiple planet systems. So far 2 parameters that quantify dynamical interactions have been identified: proximity to an apsidal separatrix, &epsilon = 0 (see Barnes & Greenberg 2006a, 2006c) and proximity to the Hill stability boundary for non-resonant systems, &beta = 1 (see Barnes & Greenberg 2006b, 2007b). This latter boundary only applies to two-planet, non-resonant systems. The table and figures present the current dynamical properties of extra-solar planets using the best determination of their orbits from the listed reference (note that significant errors exist). Unfortunately &beta can only be calculated for 2-planet systems. AM stands for "Apsidal Motion", which can be Aligned libration (A), Anti-Aligned libration (AA), or Circulation (C). The "Class" identifies pairs that have undergone Tidal evolution (T), are experiencing Resonant phenomena (R), are dominated by Secular interactions (S), or the best fit is Unstable (U).

(33 systems, 46 pairs)

System | Pair | AM | &epsilon | &beta | Class | Reference |
---|---|---|---|---|---|---|

47 UMa | b-c | C/A^{a
} | 0 | 1.025 | S | Butler et al. (2006) |

55 Cnc | e-b | C | 3.2 x 10^{-4} |
- | T | Fischer et al. (2008) |

b-c | C | 8.9 x 10^{-4} |
- | S | ||

c-f | C | 0.16 | - | S | ||

f-d | C | 0.14 | - | S | ||

GJ 317 | b-c | ?^{b} |
? | 0.980 | R/4:1? | Johnson et al. (2007) |

GJ 436 | b-c | ?^{c} |
- | 0.984 | U | Ribas et al. (2008) |

GJ 876 | d-c | C/A^{a} |
0 | - | T | Butler et al. (2006) |

c-b | A | 0.34 | - | R/2:1 | ||

Gl 581 | b-c | C | 0.15 | - | T | Udry et al. (2007) |

c-d | C | 0.20 | - | T | ||

HD 11964 | b-c | C | 0.20 | - | T | Gregory (2007b) |

c-d | C | 0.067 | - | S | ||

HD 12661 | b-c | C | 0.003 | 1.2 | S | Butler et al. (2006) |

HD 17156 | b-c | C | 0.09 | 0.57 | R/5:1 | Short et al. (2008) |

HD 37124 | b-c | C | 0.009 | - | S | Butler et al. (2006) |

c-d | A | 0.096 | - | S | Butler et al. (2006) | |

HD 38529 | b-c | C | 0.44 | 2.07 | S | Butler et al. (2006) |

HD40307^{d} |
b-c | ? | ? | - | T | Mayor et al. (2008) |

c-d | ? | ? | - | T | ||

HD 60532 | b-c | AA | 0.08 | 1.05 | R/3:1 | Desort et al. (2008) |

HD 68988 | b-c | C | 0.081 | 12.5 | T | Wright et al. (2007) |

HD 69830 | b-c | C | 0.095 | - | T | Lovis et al. (2006) |

c-d | C | 0.04 | - | S | ||

HD 73526 | b-c | AA | 0.006 | 0.982 | R/2:1 | Tinney et al. (2006) |

HD 74156 | b-d | C | 3.7 x 10^{-4} |
- | S | Barnes et al. (2008) |

d-c | C | 3.7 x 10^{-4}
| - | S | ||

HD 82943 | b-c | C | 0.004 | 0.946 | R/2:1 | Butler et al. (2006) |

HD 108874 | b-c | C/AA^{e} |
0.198 | 1.107 | R/4:1 | Butler et al. (2006) |

HD 128311 | b-c | C | 0.09 | 0.968 | R/2:1 | Butler et al. (2006) |

HD 155358 | b-c | AA | 0.21 | 1.043 | S | Cochran et al. (2007) |

HD 168443 | b-c | C | 0.22 | 1.94 | S | Butler et al. (2006) |

HD 169830 | b-c | C | 0.33 | 1.28 | S | Butler et al. (2006) |

HD 177830 | c-b | C | 0.295 | 1.05 | S | Exoplanets.org |

HD 187123 | b-c | C | 0.427 | 15.3 | T | Wright et al. (2007) |

HD 190360 | c-b | C | 0.38 | 1.70 | T | Butler et al. (2006) |

HD 191760 | b-c | C? | 0.002 | 0.82 | R/10:1? | Jenkins et al. (2008) |

HD 202206 | b-c | C | 0.096 | 0.883 | R/5:1 | Correia et al. (2005) |

HD 208487 | b-c | C | 3.8 x 10^{-4} |
1.2 | R/7:1 | Gregory (2007a) |

HD 217107 | b-c | C | 0.46 | 7.191 | T | Butler et al. (2006) |

HIP 14810 | b-c | AA | 0.05 | 1.202 | T | Wright et al. (2007) |

&mu Ara | c-d | C | 0.002 | - | T | Pepe et al. (2007) |

d-b | C | 0.003 | - | R/2:1 | ||

b-e | C | 0.13 | - | S | ||

&upsilon And | b-c | C | 0.0002 | - | T | Butler et al. (2006) |

c-d | C | 0.0003 | - | S | ||

Solar System | J-S | C | 0.194 | - | S | JPL |

S-U | C | 0.006 | - | S | ||

U-N | C | 0.004 | - | S |