The steadystate 1/adistribution and the problem of cometary fading
Abstract
In the present investigation of the problem of the 1/adistribution, while the inclusion of stellar perturbations means that the problem is strictly twodimensional, it can be approximately reduced to a tractable, onedimensional form. It is emphasized that conclusions made concerning comet origins on the basis of the 1/2distribution depend entirely on assumptions made about the phenomenon of fading. The onedimensional integral equation is solved, and the predicted 1/adistribution is compared with observations in order to constrain the fading function. The initial, very sharp falling off in the 1/adistribution is attributable to the injection spectrum of new comets from the Oort Cloud, provided that there is subsequent decrease in the distribution. It is stressed that until fading has been adequately explained, the validity of the primordial hypothesis for comet origins will remain unresolved.
 Publication:

Monthly Notices of the Royal Astronomical Society
 Pub Date:
 November 1984
 DOI:
 10.1093/mnras/211.2.347
 Bibcode:
 1984MNRAS.211..347B
 Keywords:

 Comets;
 Orbital Elements;
 Stellar Gravitation;
 Astronomical Models;
 Axes Of Rotation;
 Computational Astrophysics;
 Evolution (Development);
 Fading;
 Frequency Distribution;
 Hydrogen Clouds;
 Integral Equations;
 Oort Cloud;
 Steady State;
 Thermal Shock;
 Astronomy