The intermediate orbit of resonance asteroids of the Hecuba family constructed on the basis of solution of the internal variant of the generalized problem of the three fixed centres
Abstract
On the basis of the solution of the internal variant of the generalized problem of three fixed centres (taking as an example a minor planet of 108 Hecuba) an intermediate orbit of the resonance asteroids of the Hecuba family has been constructed. Comparison of the results obtained from the formulae with observations and also with the results of Isaeva (1976) showed that in investigating the motion of the celestial bodies it would be reasonable to use the orbits of the internal variant of the generalized problem of three fixed centres.
 Publication:

Celestial Mechanics
 Pub Date:
 July 1979
 DOI:
 10.1007/BF01236610
 Bibcode:
 1979CeMec..20...83A
 Keywords:

 Asteroids;
 Celestial Mechanics;
 Orbital Resonances (Celestial Mechanics);
 Solar Orbits;
 Three Body Problem;
 Astronomical Coordinates;
 Gravitation Theory;
 Integral Equations;
 Jupiter (Planet);
 Astronomy