La2010: a new orbital solution for the long-term motion of the Earth

@article{Laskar2011La2010AN,
  title={La2010: a new orbital solution for the long-term motion of the Earth},
  author={Jacques Laskar and A. Fienga and M. Gastineau and Herve Manche},
  journal={Astronomy and Astrophysics},
  year={2011},
  volume={532}
}
We present here a new solution for the astronomical computation of the orbital motion of the Earth spanning from 0 to −250 Myr. The main improvement with respect to our previous numerical solution La2004 is an improved adjustment of the parameters and initial conditions through a fit over 1 Myr to a special version of the highly accurate numerical ephemeris INPOP08 (Integration Numerique Planetaire de l'Observatoire de Paris). The precession equations have also been entirely revised and are no… 
Numerical Solutions for the Orbital Motion of the Solar System over the Past 100 Myr: Limits and New Results
I report results from accurate numerical integrations of solar system orbits over the past 100 Myr with the integrator package HNBody. The simulations used different integrator algorithms, step
On the dynamical evolution of 2002 VE68
The minor planet 2002 VE68 was identified as a quasi-satellite of Venus shortly after its discovery. At that time its data-arc span was only 24 d; now it is 2947 d. Here we revisit the topic of the
A long time span relativistic precession model of the Earth
A numerical solution to the Earth's precession in a relativistic framework for a long time span is presented here. We obtain the motion of the solar system in the Barycentric Celestial Reference
Mapping Solar System chaos with the Geological Orrery
TLDR
The Geological Orrery is a network of geological records of orbitally paced climate designed to address the inherent limitations of solutions for planetary orbits beyond 60 million years ago and lays out an empirical framework to map the chaotic evolution of the Solar System.
Theory of chaotic orbital variations confirmed by Cretaceous geological evidence
Variations in the Earth’s orbit and spin vector are a primary control on insolation and climate; their recognition in the geological record has revolutionized our understanding of palaeoclimate
Time scale controversy: Accurate orbital calibration of the early Paleogene
Timing is crucial to understanding the causes and consequences of events in Earth history. The calibration of geological time relies heavily on the accuracy of radioisotopic and astronomical dating.
Constraining the Earth's Dynamical Ellipticity From Ice Age Dynamics
The dynamical ellipticity of a planet expresses the departure of its mass distribution from spherical symmetry. It enters as a parameter in the description of a planet's precession and nutation, as
An implicit symplectic solver for high-precision long-term integrations of the Solar System
We present FCIRK16, a 16th-order implicit symplectic integrator for long-term high-precision Solar System simulations. Our integrator takes advantage of the near-Keplerian motion of the planets
...
...

References

SHOWING 1-10 OF 56 REFERENCES
A long-term numerical solution for the insolation quantities of the Earth
We present here a new solution for the astronomical computation of the insolation quantities on Earth spanning from -250 Myr to 250 Myr. This solution has been improved with respect to La93 (Laskar
Successive Refinements in Long-Term Integrations of Planetary Orbits
We report on accurate, long-term numerical simulations of the orbits of the major planets in our solar system. The equations of motion are directly integrated by a Störmer multistep scheme, which is
A numerical experiment on the chaotic behaviour of the Solar System
LAPLACE and Lagrange made an essential contribution to the study of the stability of the Solar System by proving analytically that, to first order in the masses, inclinations and eccentricities of
Geologic constraints on the chaotic diffusion of the solar system
The correlation of Earth's orbital parameters with climatic variations has been used to generate astronomically calibrated geologic time scales of high accuracy. However, because of the chaotic
The evolution of the lunar orbit revisited. I
After recalling the contribution of Halley, J. Kepler, and G. Darwin to our understanding of the secular acceleration of the Moon, we establish a set of differential equations for the variation of
A resonance in the Earth's obliquity and precession overthe past 20 Myr drivenbymantle convection
The motion of the Solar System is chaotic to the extent that the precise positions of the planets are predictable for a period of only about 20 Myr (ref. 1). The Earth's precession, obliquity and
Geological constraints on tidal dissipation and dynamical ellipticity of the Earth over the past three million years
TLDR
It is found that the combined effects of dynamical ellipticity and tidal dissipation were, on average, significantly lower over the past three million years, compared to their present-day values (determined from artificial satellite data and lunar ranging).
INPOP06: a new numerical planetary ephemeris
INPOP06 is the new numerical planetary ephemeris developed at the IMCCE-Observatoire de Paris. INPOP (Integrateur Numerique Planetaire de l’Observatoire de Paris) is a numerical integration of the
Long-term evolution of the spin of Venus: II. numerical simulations
Stabilization of the Earth's obliquity by the Moon
ACCORDING to Milankovitch theory1,2, the ice ages are related to variations of insolation in northern latitudes resulting from changes in the Earth's orbital and orientation parameters (precession,
...
...