Hostname: page-component-745bb68f8f-grxwn Total loading time: 0 Render date: 2025-01-07T15:31:04.387Z Has data issue: false hasContentIssue false
  • English
  • Français

Secular Perturbations of Asteroids and Comets

Published online by Cambridge University Press:  14 August 2015

Yoshihide Kozai
Yoshihide Kozai*
Affiliation:
Tokyo Astronomical Observatory, Mitaka, Tokyo 181, Japan

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In 1962 the author published a paper on secular perturbations of asteroids with high eccentricity and inclination (Kozai, 1962) and found that for such asteroids the secular perturbations are more complicated than those estimated by the classical linear theory. Before that the author(Kozai, 1954) tried to extend the classical theory to include terms of squares of disturbing masses, eccentricities and inclinations in expressions of secular motions of angular variables and found that the sum of the longitudes of the perihelion and the ascending node is not as stable quantity as the classical theory predicted, and, therefore, it cannot be used to estimate the ages of asteroid families. Then Williams(1969) and Yuasa(1973) extended the classical theory further.

Type
Part V: Minor Planets
Information
Symposium - International Astronomical Union , Volume 81: Dynamics of the Solar System , 1979 , pp. 231 - 237
Copyright
Copyright © Reidel 1979 

References

Brouwer, D.: 1951, “Astron. J.” 56, pp. 9–32.Google Scholar
Franklin, F. A. et al.: 1975, “Astron. J.” 80, pp. 729–746.Google Scholar
Hirayama, K.: 1918, “Astron. J.” 31, pp. 185–188.Google Scholar
Hirayama, K.: 1923, “Japan J. Astron. Geophys.” 1, pp. 55–93.Google Scholar
Hirayama, K.: 1928, “Japan J. Astron. Geophys.” 5, pp. 137–162.Google Scholar
Kozai, Y.: 1954, “Publ. Astron. Soc. Japan” 6, pp. 41–66.Google Scholar
Kozai, Y.: 1962, “Astron. J.” 67, pp. 591–598.Google Scholar
Nakano, K.: 1977, “Private Communication”.Google Scholar
Williams, J. G.: 1969, “Secular Perturbations in the Solar System”, Dissertation, University of California, Los Angeles, U.S.A. Google Scholar
Yuasa, M.: 1973, “Publ. Astron. Soc. Japan” 25, pp. 399–446.Google Scholar