Asteroid long-periodic perturbations - The second order Hamiltonian

Details Asteroid long-periodic perturbations - The second order Hamiltonian Asteroid long-periodic perturbations - The second order Hamiltonian

Jun 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cemda..46..147k&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 46, no. 2, 1989, p. 147-158.

Astronomy and Astrophysics

Astronomy

7

Asteroids, Hamiltonian Functions, Orbit Perturbation, Secular Variations, Eccentricity, Equations Of Motion, Long Term Effects, Orbital Mechanics, Solar Orbits

Scientific paper

The Hamiltonian of the second order with respect to the disturbing mass, as defined in the higher order-higher degree theory of asteroid secular perturbations by Yuasa (1973), is expressed in the heliocentric, ecliptic coordinate system. Errors found in the original paper with terms coming from the principal part of the disturbing function are removed, and corrected values of the coefficients are computed. The importance of second-order perturbations and the improvement ih the accuracy of proper element determination, achieved by using the newly-obtained coefficients, are demonstrated. Finally, a table of the secular frequencies as functions of the semimajor axis is given, and compared with the analogous one by Kozai (1979).

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