J/A+A/532/A89 La2010: orbital solution for long term Earth motion (Laskar+ 2011)
La2010: A new orbital solution for the long term motion of the Earth.
Laskar J., Fienga A., Gastineau M., Manche H.
<Astron. Astrophys. 532, A89 (2011)>
=2011A&A...532A..89L 2011A&A...532A..89L
ADC_Keywords: Earth ; Solar system
Keywords: chaos - methods: numerical - celestial mechanics - ephemerides -
planets and satellites: dynamical evolution and stability - Earth
Abstract:
We present here a new solution for the astronomical computation of
the orbital motion of the Earth spanning from 0 to -250Myr. 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 1Myr 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 longer averaged over the orbital motion
of the Earth and Moon.
This new orbital solution is now valid over more than 50Myr in the
past or into the future with proper phases of the eccentricity
variations.
Owing to the chaotic behavior, the precision of the solution decreases
rapidly beyond this time span, and we discuss the behavior of various
solutions beyond 50Myr. For paleoclimate calibrations, we provide
several different solutions that are all compatible with the most
precise planetary ephemeris. We have thus reached the time where
geological data are now required to discriminate between planetary
orbital solutions beyond 50Myr.
Description:
Solution for the Earth orbit. Several solutions La2010a,b,c,d are
given. Their differences reflects the uncertainty in the solutions
that are not valid beyond 50Myr. Nevertheless all solutions are given
over 250Myr for reference.
All Astronomical Solutions for Earth Paleoclimates are available at
http://www.imcce.fr/Equipes/ASD/insola/earth/earth.html
File Summary:
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FileName Lrecl Records Explanations
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ReadMe 80 . This file
l10a_k3.dat 88 50000 Keplerian elements of the Earth for the solution
La2010a every 5kyr
l10a_k3l.dat 88 250000 Keplerian elements of the Earth for the solution
La2010a every 1kyr
l10a_e3.dat 23 50000 Eccentricity of the Earth for the solution
La2010a every 5kyr
l10a_e3l.dat 23 250000 Eccentricity of the Earth for the solution
La2010a every 1kyr
l10b_k3.dat 88 50000 Keplerian elements of the Earth for the solution
La2010b every 5kyr
l10b_k3l.dat 88 250000 Keplerian elements of the Earth for the solution
La2010b every 1kyr
l10b_e3.dat 23 50000 Eccentricity of the Earth for the solution
La2010b every 5kyr
l10b_e3l.dat 23 250000 Eccentricity of the Earth for the solution
La2010b every 1kyr
l10c_k3.dat 88 50000 Keplerian elements of the Earth for the solution
La2010c every 5kyr
l10c_k3l.dat 88 250000 Keplerian elements of the Earth for the solution
La2010c every 1kyr
l10c_e3.dat 23 50000 Eccentricity of the Earth for the solution
La2010c every 5kyr
l10c_e3l.dat 23 250000 Eccentricity of the Earth for the solution
La2010c every 1kyr
l10d_k3.dat 88 50000 Keplerian elements of the Earth for the solution
La2010d every 5kyr
l10d_k3l.dat 88 250000 Keplerian elements of the Earth for the solution
La2010d every 1kyr
l10d_e3.dat 23 50000 Eccentricity of the Earth for the solution
La2010d every 5kyr
l10d_e3l.dat 23 250000 Eccentricity of the Earth for the solution
La2010d every 1kyr
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See also:
VI/63 : Earth Orbit, Precession and Insolation -20Myr to +10Myr (Laskar+ 1993)
Byte-by-byte Description of file: l10*_k3.dat l10*_k3l.dat
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Bytes Format Units Label Explanations
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1- 10 I10 kyr t [-249999/0] Time from J2000.0
13- 23 F11.9 AU a Semi-major axis (1)
25- 36 F12.9 rad l Mean longitude (expressed in radians) (1)
38- 49 F12.9 --- k e*cos(ϖ) (1)
51- 62 F12.9 --- h e*sin(ϖ) (1)
64- 75 F12.9 --- q sin(i/2)cos(Ω) (1)
77- 88 F12.9 --- p sin(i/2)sin(Ω) (1)
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Note (1): The classical elliptical elements a, e, i, l, ϖ, Ω
are taken in the invariant reference frame.
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Byte-by-byte Description of file: l10*_e3.dat l10*_e3l.dat
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Bytes Format Units Label Explanations
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1- 10 I10 kyr t [-249999/0] Time from J2000.0
13- 23 F11.9 --- e Earth eccentricity
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Acknowledgements:
Jacques Laskar, laskar(at)imcce.fr
(End) Jacques Laskar [CNRS, France], Patricia Vannier [CDS] 18-Jul-2011