Secular apsidal configuration of non-resonant exoplanetary systems

Research output: Contribution to journalArticle

Abstract

Using a high-order (order 12) expansion of the perturbative potential in powers of eccentricities [Libert, A.-S., Henrard, J., 2005. Celest. Mech. Dynam. Astron. 93, 187-200], we study the secular effects of two coplanar planets which are not in mean motion resonances. The main results concern eccentricity variations, oscillation amplitude of the angular difference of the apsidal lines (Δπ{variant}) and frequency of such an oscillation. We show that this analytical approach describes correctly the behaviour of most of the exosystems and underlines the known limitations of the linear Laplace-Lagrange theory. Apsidal configuration of υ Andromedae, HD 168443, HD 169830, HD 38529, HD 74156 and HD 12661 are examined. We also point out the great sensitivity of the υ Andromedae system to the initial values ( e1 ( 0 ), e2 ( 0 ) or Δ π{variant} ( 0 )).

Original languageEnglish
Pages (from-to)186-192
Number of pages7
JournalIcarus
Volume183
Issue number1
DOIs
Publication statusPublished - 1 Jul 2006

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eccentricity
oscillation
oscillations
configurations
planets
planet
expansion
sensitivity
effect

Keywords

  • Celestial mechanics
  • Extrasolar planets
  • Planetary dynamics
  • Resonances

Cite this

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title = "Secular apsidal configuration of non-resonant exoplanetary systems",
abstract = "Using a high-order (order 12) expansion of the perturbative potential in powers of eccentricities [Libert, A.-S., Henrard, J., 2005. Celest. Mech. Dynam. Astron. 93, 187-200], we study the secular effects of two coplanar planets which are not in mean motion resonances. The main results concern eccentricity variations, oscillation amplitude of the angular difference of the apsidal lines (Δπ{variant}) and frequency of such an oscillation. We show that this analytical approach describes correctly the behaviour of most of the exosystems and underlines the known limitations of the linear Laplace-Lagrange theory. Apsidal configuration of υ Andromedae, HD 168443, HD 169830, HD 38529, HD 74156 and HD 12661 are examined. We also point out the great sensitivity of the υ Andromedae system to the initial values ( e1 ( 0 ), e2 ( 0 ) or Δ π{variant} ( 0 )).",
keywords = "Celestial mechanics, Extrasolar planets, Planetary dynamics, Resonances",
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Secular apsidal configuration of non-resonant exoplanetary systems. / Libert, Anne-Sophie; Henrard, Jacques.

In: Icarus, Vol. 183, No. 1, 01.07.2006, p. 186-192.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Secular apsidal configuration of non-resonant exoplanetary systems

AU - Libert, Anne-Sophie

AU - Henrard, Jacques

PY - 2006/7/1

Y1 - 2006/7/1

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AB - Using a high-order (order 12) expansion of the perturbative potential in powers of eccentricities [Libert, A.-S., Henrard, J., 2005. Celest. Mech. Dynam. Astron. 93, 187-200], we study the secular effects of two coplanar planets which are not in mean motion resonances. The main results concern eccentricity variations, oscillation amplitude of the angular difference of the apsidal lines (Δπ{variant}) and frequency of such an oscillation. We show that this analytical approach describes correctly the behaviour of most of the exosystems and underlines the known limitations of the linear Laplace-Lagrange theory. Apsidal configuration of υ Andromedae, HD 168443, HD 169830, HD 38529, HD 74156 and HD 12661 are examined. We also point out the great sensitivity of the υ Andromedae system to the initial values ( e1 ( 0 ), e2 ( 0 ) or Δ π{variant} ( 0 )).

KW - Celestial mechanics

KW - Extrasolar planets

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KW - Resonances

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