Analysis of Tisserand's constant for periodic comets.
Abstract
The investigation of Tisserand's constant (J) brought to light several new effects. 1. The maximum of the N(J) distribution does not lie in the interval predicted by the capture theory. 2. The values of J follow an exponential law with a discontinuity near 2.670. 3. Minimum values of J are observed more often among comets with longitudes of perihelion close to 90°. 4. There is no relationship between the values of e and cos i that appear in Tisserand's formula; this relationship manifests itself only in the group of comets that have their longitudes of perihelia in the interval 43  103°. 5. These comets are characterized by relatively large values of the declination i. 6. Correlation between e and i of "primordial" longperiod comets appears most clearly for periodic comets with their longitudes of perihelia close to 90°. 7. Periodic comets which according to the Tisserand criterion meet at a larger scale the requirements of the capture mechanism are characterized by small q and large e. The author comes thus to the onclusion that only a part of periodic comets has been captured from the overall set of longperiod comets.
 Publication:

Kinematika i Fizika Nebesnykh Tel
 Pub Date:
 April 1992
 Bibcode:
 1992KFNT....8...40G
 Keywords:

 Celestial Mechanics;
 Comets;
 Orbit Calculation;
 Jupiter (Planet);
 Saturn (Planet);
 Three Body Problem;
 Trajectory Analysis;
 Astronomy