227 citations · 373 across the 12 of their papers we have counts for
12 papers
No influence of passing stars on paleoclimate reconstructions over the past 56 million years
Richard E. Zeebe, David M. Hernandez
Passing stars (also called stellar flybys) have notable effects on the solar system's long-term dynamical evolution, injection of Oort cloud comets into the solar system, propertie…
Reduced solar quadrupole moment compensates for lack of asteroids in long-term solar system integrations
Richard E. Zeebe, Ilja J. Kocken
State-of-the-art long-term solar system integrations include several second order effects such as the Sun's quadrupole moment J2 and a contribution from asteroids (plus the Moon an…
Applying Astronomical Solutions and Milankovi{ć} Forcing in the Earth Sciences
Richard E. Zeebe, Ilja J. Kocken
Astronomical solutions provide calculated orbital and rotational parameters of solar system bodies based on the dynamics and physics of the solar system. Application of astronomica…
Milanković Forcing in Deep Time
Richard E. Zeebe, Margriet L. Lantink
Astronomical (or Milanković) forcing of the Earth system is key to understanding rhythmic climate change on time scales >~ 10 kyr. Paleoceanographic and paleoclimatological applica…
A secular solar system resonance that disrupts the dominant cycle in Earth's orbital eccentricity (g2-g5): Implications for astrochronology
Richard E. Zeebe, Margriet L. Lantink
The planets' gravitational interaction causes rhythmic changes in Earth's orbital parameters (also called Milanković cycles), which have powerful applications in geology and astroc…
orbitN: A symplectic integrator for planetary systems dominated by a central mass -- Insight into long-term solar system chaos
Richard E. Zeebe
Reliable studies of the long-term dynamics of planetary systems require numerical integrators that are accurate and fast. The challenge is often formidable because the chaotic natu…
Reduced variations in Earth's and Mars' orbital inclination and Earth's obliquity from 58 to 48 Myr ago due to solar system chaos
Richard E. Zeebe
The dynamical evolution of the solar system is chaotic with a Lyapunov time of only 5 Myr for the inner planets. Due to the chaos it is fundamentally impossible to accurately…
Stepsize errors in the -body problem: discerning Mercury's true possible long-term orbits
David M. Hernandez, Richard E. Zeebe, Sam Hadden
Numerical integrations of the Solar System have been carried out for decades. Their results have been used, for example, to determine whether the Solar System is chaotic, whether M…
Solar system chaos and the Paleocene-Eocene boundary age constrained by geology and astronomy
Richard E. Zeebe, Lucas J. Lourens
Astronomical calculations reveal the solar system's dynamical evolution, including its chaoticity, and represent the backbone of cyclostratigraphy and astrochronology. An absolute,…
Numerical Solutions for the orbital motion of the Solar System over the Past 100 Myr: Limits and new results
Richard E. Zeebe
I report results from accurate numerical integrations of Solar System orbits over the past 100Myr with the integrator package HNBody. The simulations used different integrator algo…
Highly stable evolution of Earth's future orbit despite chaotic behavior of the Solar System
Richard E. Zeebe
Due to the chaotic nature of the Solar System, the question of its dynamic long-term stability can only be answered in a statistical sense, e.g. based on numerical ensemble integra…
Dynamic stability of the Solar System: Statistically inconclusive results from ensemble integrations
Richard E. Zeebe
Due to the chaotic nature of the Solar System, the question of its long-term stability can only be answered in a statistical sense, for instance, based on numerical ensemble integr…