Analytic orbit propagation for transiting circumbinary planets
arXiv:1502.06387 · doi:10.1088/0004-637X/802/2/94
Abstract
The herein presented analytical framework fully describes the motion of coplanar systems consisting of a stellar binary and a planet orbiting both stars on orbital as well as secular timescales. Perturbations of the Runge-Lenz vector are used to derive short period evolution of the system, while octupole secular theory is applied to describe its long term behaviour. A post Newtonian correction on the stellar orbit is included. The planetary orbit is initially circular and the theory developed here assumes that the planetary eccentricity remains relatively small (e_2<0.2). Our model is tested against results from numerical integrations of the full equations of motion and is then applied to investigate the dynamical history of some of the circumbinary planetary systems discovered by NASA's Kepler satellite. Our results suggest that the formation history of the systems Kepler-34 and Kepler-413 has most likely been different from the one of Kepler-16, Kepler-35, Kepler-38 and Kepler-64, since the observed planetary eccentricities for those systems are not compatible with the assumption of initially circular orbits.
Accepted for publication in ApJ
References in corpus (28)
- Long-Term Stability of Planets in Binary Systems
- Kepler-16: A Transiting Circumbinary Planet
- The Transiting Circumbinary Planets Kepler-34 and Kepler-35
- Secular Dynamics in Hierarchical Three-Body Systems
- The Kozai Mechanism and the Evolution of Binary Supermassive Black Holes
- Resonant Post-Newtonian Eccentricity Excitation in Hierarchical Three-body Systems
- Planet Hunters: A Transiting Circumbinary Planet in a Quadruple Star System
- Suppression of extreme orbital evolution in triple systems with short range forces
- The Neptune-Sized Circumbinary Planet Kepler-38b
- Kepler-413b: a slightly misaligned, Neptune-size transiting circumbinary planet
- Secular Evolution of Hierarchical Planetary Systems
- High inclination orbits in the secular quadrupolar three-body problem
- Chaos in the Test Particle Eccentric Kozai-Lidov Mechanism
- Modelling Circumbinary Planets: The case of Kepler-38
- Extreme orbital evolution from hierarchical secular coupling of two giant planets
- The formation of planets in circumbinary disks
- An Analytic Method to determine Habitable Zones for S-Type Planetary Orbits in Binary Star Systems
- An Analytic Theory for the Orbits of Circumbinary Planets
- Circumstellar Habitable Zones of Binary Star Systems in the Solar Neighborhood
- Forming Circumbinary Planets: N-body Simulations of Kepler-34
- A dynamical stability study of Kepler Circumbinary Planetary systems with one planet
- Eccentricity evolution in hierarchical triple systems with eccentric outer binaries
- Eccentricity generation in hierarchical triple systems with coplanar and initially circular orbits
- Tidal and rotational effects in the perturbations of hierarchical triple stellar systems. II. Eccentric systems - the case of AS Camelopardalis
- Improved equations for eccentricity generation in hierarchical triple systems
- The Hill Stability of Triple Minor Planets in the Solar System
- Eccentricity generation in hierarchical triple systems with non-coplanar and initially circular orbits
- Eccentricity generation in hierarchical triple systems: the planetary regime
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- Circumbinary discs: Numerical and physical behaviour
- Effects of variable eccentricity on the climate of an Earth-like world
- Evolution of circumbinary planets around eccentric binaries: The case of Kepler-34
- Circumbinary planets II - when transits come and go
- Binary star influence on post-main-sequence multi-planet stability
- Giant planets: good neighbors for habitable worlds?
- Searching for Small Circumbinary Planets I. The STANLEY Automated Algorithm and No New Planets in Existing Systems
- Habitable Zone Boundaries for Circumbinary Planets
- Evolution of a ring around the Pluto-Charon binary
- A Dynamical Systems Approach to the Theory of Circumbinary Orbits in the Circular Restricted Problem
- On the Estimation of Circumbinary Orbital Properties
- Statistical properties of habitable zones in stellar binary systems
- Exploring Climate with Obliquity in a Variable-eccentricity Earth-like World
- Dynamics and habitability of the TESS circumbinary systems TOI-1338 and TIC-172900988
- Orbit determination of the moons of the Pluto-Charon system
- Orbits of the TOI-1338 and TIC-172900988 systems
- Testing the third body hypothesis in the Cataclysmic Variables LU Camelopardalis, QZSerpentis, V1007 Herculis and BK Lyncis
- Orbital analysis of the Pluto-Charon moon system's mutual interactions and forced frequencies
- Precise Physical Parameters, Habitability, and Orbital Stability of Sun-like SB2 Systems: HD 130669, HD 184467, HD 191854, and HD 214222