Sam Hadden
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View article: A Unified, Physical Framework for Mean Motion Resonances
A Unified, Physical Framework for Mean Motion Resonances Open
The traditional approach to analyzing mean motion resonances (MMRs) is through the canonical perturbation theory. While this is a powerful method, its generality leads to complicated combinations of variables that are challenging to interp…
View article: Eccentricities of Close Stellar Binaries
Eccentricities of Close Stellar Binaries Open
Orbits of stellar binaries are in general eccentric. These eccentricities encode information about their early lives. Here, we use thousands of main-sequence binaries from the Gaia DR3 catalog to reveal that binaries inward of a few astron…
View article: Influence of Modeling Assumptions on the Inferred Dynamical State of Resonant Systems: A Case Study of the HD 45364 System
Influence of Modeling Assumptions on the Inferred Dynamical State of Resonant Systems: A Case Study of the HD 45364 System Open
Planetary systems exhibiting mean motion resonances (MMRs) offer unique opportunities to study the imprint of disk-induced migration on the orbital architectures of planetary systems. The HD 45364 system, discovered via the radial velocity…
View article: Creating Pileups of Eccentric Planet Pairs Wide of MMRs Through Divergent Migration
Creating Pileups of Eccentric Planet Pairs Wide of MMRs Through Divergent Migration Open
Observed pileups of planets with period ratios $\approx 1\%$ wide of strong mean motion resonances (MMRs) pose an important puzzle. Early models showed that they can be created through sustained eccentricity damping driving a slow separati…
View article: Eccentricities of Close Stellar Binaries
Eccentricities of Close Stellar Binaries Open
Orbits of stellar binaries are in general eccentric. These eccentricities encode information about their early lives. Here, we use thousands of main-sequence binaries from the Gaia DR3 catalog to reveal that, binaries inwards of a few AU e…
View article: Accelerating Giant-impact Simulations with Machine Learning
Accelerating Giant-impact Simulations with Machine Learning Open
Constraining planet-formation models based on the observed exoplanet population requires generating large samples of synthetic planetary systems, which can be computationally prohibitive. A significant bottleneck is simulating the giant-im…
View article: A Unified, Physical Framework for Mean Motion Resonances
A Unified, Physical Framework for Mean Motion Resonances Open
The traditional approach to analyzing mean motion resonances is through canonical perturbation theory. While this is a powerful method, its generality leads to complicated combinations of variables that are challenging to interpret and req…
View article: Influence of Modeling Assumptions on the Inferred Dynamical State of Resonant Systems: A Case Study of the HD 45364 System
Influence of Modeling Assumptions on the Inferred Dynamical State of Resonant Systems: A Case Study of the HD 45364 System Open
Planetary systems exhibiting mean-motion resonances (MMRs) offer unique opportunities to study the imprint of disk-induced migration on the orbital architectures of planetary systems. The HD 45364 system, discovered via the radial velocity…
View article: Action-angle Variables for Axisymmetric Potentials via Birkhoff Normalization
Action-angle Variables for Axisymmetric Potentials via Birkhoff Normalization Open
We describe a method for calculating action-angle (AA) variables in axisymmetric galactic potentials using Birkhoff normalization, a technique from Hamiltonian perturbation theory. An advantageous feature of this method is that it yields e…
View article: The Instability Mechanism of Compact Multiplanet Systems
The Instability Mechanism of Compact Multiplanet Systems Open
To improve our understanding of orbital instabilities in compact planetary systems, we compare suites of N -body simulations against numerical integrations of simplified dynamical models. We show that, surprisingly, dynamical models that a…
View article: Accelerating Giant Impact Simulations with Machine Learning
Accelerating Giant Impact Simulations with Machine Learning Open
Constraining planet formation models based on the observed exoplanet population requires generating large samples of synthetic planetary systems, which can be computationally prohibitive. A significant bottleneck is simulating the giant im…
View article: Mercury’s Chaotic Secular Evolution as a Subdiffusive Process
Mercury’s Chaotic Secular Evolution as a Subdiffusive Process Open
Mercury’s orbit can destabilize, generally resulting in a collision with either Venus or the Sun. Chaotic evolution can cause g 1 to decrease to the approximately constant value of g 5 and create a resonance. Previous work has approximated…
View article: Action-Angle Variables for Axisymmetric Potentials via Birkhoff Normalization
Action-Angle Variables for Axisymmetric Potentials via Birkhoff Normalization Open
We describe a method for calculating action-angle variables in axisymmetric galactic potentials using Birkhoff normalization, a technique from Hamiltonian perturbation theory. An advantageous feature of this method is that it yields explic…
View article: Scattered disc dynamics: the mapping approach
Scattered disc dynamics: the mapping approach Open
We derive, and discuss the properties of, a symplectic map for the dynamics of bodies on nearly parabolic orbits. The orbits are perturbed by a planet on a circular, coplanar orbit interior to the pericentre of the parabolic orbit. The map…
View article: Masses, revised radii, and a third planet candidate in the ‘Inverted’ planetary system around TOI-1266
Masses, revised radii, and a third planet candidate in the ‘Inverted’ planetary system around TOI-1266 Open
Is the population of close-in planets orbiting M dwarfs sculpted by thermally driven escape or is it a direct outcome of the planet formation process? A number of recent empirical results strongly suggest the latter. However, the unique ar…
View article: Masses, Revised Radii, and a Third Planet Candidate in the "Inverted" Planetary System Around TOI-1266
Masses, Revised Radii, and a Third Planet Candidate in the "Inverted" Planetary System Around TOI-1266 Open
Is the population of close-in planets orbiting M dwarfs sculpted by thermally driven escape or is it a direct outcome of the planet formation process? A number of recent empirical results strongly suggest the latter. However, the unique ar…
View article: Workshop Summary: Exoplanet Orbits and Dynamics
Workshop Summary: Exoplanet Orbits and Dynamics Open
Exoplanetary systems show a wide variety of architectures, which can be explained by different formation and dynamical evolution processes. Precise orbital monitoring is mandatory to accurately constrain their orbital and dynamical paramet…
View article: Scattered Disk Dynamics: The Mapping Approach
Scattered Disk Dynamics: The Mapping Approach Open
We derive, and discuss the properties of, a symplectic map for the dynamics of bodies on nearly parabolic orbits. The orbits are perturbed by a planet on a circular, coplanar orbit interior to the pericenter of the parabolic orbit. The map…
View article: The gold standard: Accurate stellar and planetary parameters for eight kepler m dwarf systems enabled by parallaxes
The gold standard: Accurate stellar and planetary parameters for eight kepler m dwarf systems enabled by parallaxes Open
We report parallaxes and proper motions from the Hawaii Infrared Parallax Program for eight nearby M dwarf stars with transiting exoplanets discovered by Kepler. We combine our directly measured distances with mass-luminosity and radius-lu…
View article: The L 98-59 System: Three Transiting, Terrestrial-size Planets Orbiting a Nearby M Dwarf
The L 98-59 System: Three Transiting, Terrestrial-size Planets Orbiting a Nearby M Dwarf Open
We report the Transiting Exoplanet Survey Satellite (TESS) discovery of three terrestrial-size planets transiting L 98-59 (TOI-175, TIC 307210830) - a bright M dwarf at a distance of 10.6 pc. Using the Gaia-measured distance and broadband …
View article: Intra-system uniformity: a natural outcome of dynamical sculpting
Intra-system uniformity: a natural outcome of dynamical sculpting Open
There is evidence that exoplanet systems display intra-system uniformity in mass, radius, and orbital spacing (like ‘peas in a pod’) when compared with the system-to-system variations of planetary systems. This has been interpreted as the …
View article: Mercury's chaotic secular evolution as a subdiffusive process
Mercury's chaotic secular evolution as a subdiffusive process Open
Mercury's orbit can destabilize, generally resulting in a collision with either Venus or the Sun. Chaotic evolution can cause g1 to decrease to the approximately constant value of g5 and create a resonance. Previous work has approximated t…
View article: Self-consistent Spin, Tidal, and Dynamical Equations of Motion in the REBOUNDx Framework
Self-consistent Spin, Tidal, and Dynamical Equations of Motion in the REBOUNDx Framework Open
We introduce self-consistent spin, tidal, and dynamical equations of motion into REBOUNDx , a library of additional effects for the popular N -body integrator REBOUND . The equations of motion used are derived from the constant time lag ap…
View article: Intra-system uniformity: a natural outcome of dynamical sculpting
Intra-system uniformity: a natural outcome of dynamical sculpting Open
There is evidence that exoplanet systems display intra-system uniformity in mass, radius, and orbital spacing (like ``peas in a pod'') when compared with the system-to-system variations of planetary systems. This has been interpreted as th…
View article: Self-Consistent Spin, Tidal and Dynamical Equations of Motion in the REBOUNDx Framework
Self-Consistent Spin, Tidal and Dynamical Equations of Motion in the REBOUNDx Framework Open
We have introduced self-consistent spin, tidal and dynamical equations of motion into REBOUNDx, a library of additional effects for the popular N-body integrator REBOUND. The equations of motion used are derived from the constant time lag …
View article: Simple Physics and Integrators Accurately Reproduce Mercury Instability Statistics
Simple Physics and Integrators Accurately Reproduce Mercury Instability Statistics Open
The long-term stability of the solar system is an issue of significant scientific and philosophical interest. The mechanism leading to instability is Mercury’s eccentricity being pumped up so high that Mercury either collides with Venus or…
View article: Simple physics and integrators accurately reproduce Mercury instability statistics
Simple physics and integrators accurately reproduce Mercury instability statistics Open
The long-term stability of the Solar System is an issue of significant scientific and philosophical interest. The mechanism leading to instability is Mercury's eccentricity being pumped up so high that Mercury either collides with Venus or…
View article: celmech: A Python Package for Celestial Mechanics
celmech: A Python Package for Celestial Mechanics Open
We present celmech , an open-source Python package designed to facilitate a wide variety of celestial mechanics calculations. The package allows users to formulate and integrate equations of motion incorporating user-specified terms from t…
View article: The Criterion for Chaos in Three-planet Systems
The Criterion for Chaos in Three-planet Systems Open
We establish the criterion for chaos in three-planet systems, for systems similar to those discovered by the Kepler spacecraft. Our main results are as follows: (i) The simplest criterion, which is based on overlapping mean motion resonanc…