2017
DOI: 10.1088/1361-6404/aa5e0c
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Exploring the orbital evolution of planetary systems

Abstract: The aim of this paper is to encourage the use of orbital integrators in the classroom to discover and understand the long term dynamical evolution of systems of orbiting bodies. We show how to perform numerical simulations and how to handle output data in order to reveal the dynamical mechanisms that dominate the evolution of arbitrary planetary systems in timescales of millions of years using a simple but efficient numerical integrator. Through some examples we reveal the fundamental properties of planetary s… Show more

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Cited by 38 publications
(57 citation statements)
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References 17 publications
(27 reference statements)
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“…Pre-main-sequence stellar evolution tracks from Baraffe et al (2015) are also presented in the color-magnitude diagrams, with colors adopted from Allard (2014). In distant clusters, properties of low-mass stars are often inferred from photometry (e.g., Reggiani et al 2011;Jose et al 2016;Beccari et al 2017).…”
Section: Color Analysismentioning
confidence: 99%
“…Pre-main-sequence stellar evolution tracks from Baraffe et al (2015) are also presented in the color-magnitude diagrams, with colors adopted from Allard (2014). In distant clusters, properties of low-mass stars are often inferred from photometry (e.g., Reggiani et al 2011;Jose et al 2016;Beccari et al 2017).…”
Section: Color Analysismentioning
confidence: 99%
“…To constrain atmospheric parameters, in this case effective temperature and surface gravity, we compare the observed P1640 spectrum of GJ 758 B to synthetic spectra from the BTSettl13 model atmospheres (Allard 2014). We use a grid of solar metallicity models with effective temperatures from 400-4500 K in increments of 50 or 100 K and surface gravities of = g log 3.5, 4.0, 4.5, 5.0, and 5.5 (cgs units).…”
Section: Model Atmospheresmentioning
confidence: 99%
“…HD 96167 has a galactic latitude of 44 • and its wide field is not crowded. If bound, its companion would have an absolute magnitude of 20.3 in the K band, which corresponds to a 30M Jup object at an age of 3.8 Gy (Allard 2014). Follow-up observations could confirm whether this source is a wide brown dwarf companion of HD 96167 or a background star.…”
Section: Wide-separation Sourcesmentioning
confidence: 94%
“…Values for K1 and K2 bands are derived from IRDIS data. Using the BT-Settl models (Allard 2014) and assuming an age of 3 Gyr (see Table 1), we were able to derive the mass of the companion. We find a companion mass of 155 ±9 M Jup or 0.148±0.008 M .…”
Section: Hd 211847mentioning
confidence: 99%
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