Statistics – Applications
Scientific paper
Feb 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aipc..886..175v&link_type=abstract
NEW TRENDS IN ASTRODYNAMICS AND APPLICATIONS III. AIP Conference Proceedings, Volume 886, pp. 175-186 (2007).
Statistics
Applications
1
Orbital And Rotational Dynamics, Asteroids, Meteoroids, Kuiper Belt, Trans-Neptunian Objects
Scientific paper
Planetary and satellite systems are replete with orbital resonant configurations that have been modeled by a variety of techniques. We highlight the dangers of models which attempt to trace numerically or analytically the orbital evolution of any two resonant bodies with a truncated disturbing function. Using a semianalytic model based on a traditional disturbing function expansion about zero eccentricities and inclinations, we pinpoint the nature and number of terms needed to model a typical Jovian asteroid and Kuiper Belt Object, and estimate the eccentricities at which convergence of disturbing function coefficients breaks down. We find the notion of ``order'' to represent an inappropriate metric for accuracy in the orbital solution for these classes of objects, and deduce that even for dynamical configurations with ``massless'' objects, including more than a few disturbing function terms is often necessary.
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