The strange case of the missing apocentric librators in the 3:2 resonance

Details The strange case of the missing apocentric librators in the 3:2 resonance The strange case of the missing apocentric librators in the 3:2 resonance

Jun 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976ap%26ss..42l...1i&link_type=abstract

Astrophysics and Space Science, vol. 42, June 1976, p. L1-L3.

Astronomy and Astrophysics

Astrophysics

1

Asteroids, Libration, Orbital Mechanics, Resonance, Celestial Mechanics, Circular Orbits, Dynamic Stability, Orbit Calculation, Orbital Elements, Solar Orbits

Scientific paper

From a comparison of the 2:1 and 3:2 resonances (in the asteroidal belt) two possible explanations to the absence of 3:2 apocentric librators are suggested. The first one is that such 3:2 resonant motion is dynamically unstable. The second interpretation requires the absence of near-circular orbits originally at 4 AU. The latter view, if correct, is inconsistent with cosmogonic models which predict the original orbits of the asteroids to be nearly circular.

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