# A long-term numerical solution for the insolation quantities of the Earth

@article{Laskar2004ALN, title={A long-term numerical solution for the insolation quantities of the Earth}, author={Jacques Laskar and Philippe Robutel and Fr{\'e}d{\'e}ric Joutel and Micka{\"e}l Gastineau and Alexandre C. M. Correia and Alexandre C. M. Correia and Benjamin Levrard}, journal={Astronomy and Astrophysics}, year={2004}, volume={428}, pages={261-285} }

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 et al. [CITE]) by using a direct integration of the gravitational equations for the orbital motion, and by improving the dissipative contributions, in particular in the evolution of the Earth–Moon System. The orbital solution has been used for the calibration of the Neogene period (Lourens et al… Expand

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#### References

SHOWING 1-10 OF 139 REFERENCES

Long term evolution and chaotic diffusion of the insolation quantities of Mars

- Physics
- 2004

As the obliquity of Mars is strongly chaotic, it is not possible to give a solution for its evolution over more than a few million years. Using the most recent data for the rotational state of Mars,… Expand

Orbital, precessional, and insolation quantities for the earth from -20 Myr to +10 Myr.

- Physics
- 1993

The solution for the precession and obliquity of the Earth, issued from the orbital solution La90 (Laskar 1990) is presented. This solution provides the necessary data for the computation of… Expand

The limits of Earth orbital calculations for geological time-scale use

- Physics
- Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
- 1999

The orbital motion of the planets in the Solar System is chaotic. As a result, initially close orbits diverge exponentially with a characteristic Lyapunov time of 5 Ma. This sensitivity to initial… Expand

Geological constraints on tidal dissipation and dynamical ellipticity of the Earth over the past three million years

- Geology, Medicine
- Nature
- 2001

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). Expand

A resonance in the Earth's obliquity and precession overthe past 20 Myr drivenbymantle convection

- Geology
- Nature
- 1997

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… Expand

Geologic constraints on the chaotic diffusion of the solar system

- Geology
- 2004

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… Expand

Constraints on astronomical parameters from the geological record for the last 25 Myr

- Geology
- 2000

We develop a new method, based on interference patterns between the precession and obliquity components of geological data from Ocean Drilling Program (ODP) Leg 154 and astronomical solutions, to… Expand

On the long term evolution of the spin of the Earth.

- Physics
- 1997

Laskar and Robutel (1993) have globally analyzed the stability of the planetary obliquities in a conservative framework. Here the same model is extended by adding dissipative effects in the… Expand

Long-term integrations and stability of planetary orbits in our Solar system

- Physics
- 2002

We present the results of very long-term numerical integrations of planetary orbital motions over 10 9 -yr time-spans including all nine planets. A quick inspection of our numerical data shows that… Expand

Successive Refinements in Long-Term Integrations of Planetary Orbits

- Physics
- 2003

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 Stormer multistep scheme, which is… Expand