Obliquity and precession for the last 5 000 000 years

Computer Science – Numerical Analysis

Scientific paper

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Earth Orbits, Numerical Analysis, Orbital Elements, Paleontology, Perihelions, Precession, Climatology, Eccentric Orbits, Ecliptic, Equinoxes, Orbit Perturbation, Secular Variations

Scientific paper

A numerical solution is determined for the obliquity of the ecliptic and the longitude of the perihelion referred to the mean equinox of 1950.0. A previous solution which includes terms to the second order with respect to the perturbing masses and to the third degree with respect to the planetary eccentricities and inclinations is used for the eccentricity, the longitude of the perihelion measured from the equinox of 1850.0, the inclination of the ecliptic on the plane of reference, and the longitude of the ascending node. A series of analytical expansions which includes terms to the second degree with respect to earth's eccentricity is employed for the obliquity and the precession in longitude. The long-term variation of the ecliptic elements is analyzed for the periods extending to 5 million years before and 1 million years after the present (1950.0).

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