Long-period variations of the earth's orbital elements - A question of precision in astronomical theory of paleoclimates. I

Details Long-period variations of the earth's orbital elements - A question of precision in astronomical theory of paleoclimates. I Long-period variations of the earth's orbital elements - A question of precision in astronomical theory of paleoclimates. I

Aug 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975c%26t....91..261b&link_type=abstract

Ciel et Terre, vol. 91, July-Aug. 1975, p. 261-277. In French.

Physics

5

Climatology, Earth Motion, Long Term Effects, Orbital Elements, Paleoclimatology, Secular Variations, Solar Orbits, Cosine Series, Eccentric Orbits, Ecliptic, Inclination, Laplace Transformation, Oblique Coordinates, Perturbation Theory, Precession, Sine Series, Tables (Data)

Scientific paper

The analytical expressions of the 'secular' variations of the orbital elements for the earth is derived in a vectorial form for the two basic systems (e, pi) and (i, Omega). The accuracy of the solution when expanded in series of trigonometrical terms is discussed. Successive improvements lead to a solution including terms depending on the second power of the masses and the third degree with respect to the eccentricities and inclinations of the planets. Then the Laplace solution for the obliquity and precession is revised to obtain an accuracy consistent with the basic systems. The analysis of the expansion including terms depending on the second degree to the eccentricity shows that for a period up to 1 million years from the present, a solution where Laplace expansion includes terms of the second power to the masses and third degree to the (e, i) coming from the basic system (i, Omega) may be accepted.

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