Other
Scientific paper
May 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978aj.....83..514v&link_type=abstract
Astronomical Journal, vol. 83, May 1978, p. 514-521.
Other
2
Celestial Mechanics, Invariance, Perturbation Theory, Three Body Problem, Angular Momentum, Eccentric Orbits, Jacobi Integral, Mass Ratios, Orbit Calculation
Scientific paper
An invariant relation generalizing the Jacobi integral to the elliptic restricted three-body problem is derived on the basis of the classical perturbation theory and by making use of energy and angular momentum integrals. But the relation contains a nonintegrable term, becoming integrable only in a few special cases. It is shown that in the case of the Lagrange triangular solutions and the Poincare two-body limit the relation reduces to integrals which appear to be linear combinations of the well-known integrals. In the case of perturbed triangular solutions the relation reduces to an approximate integral valid under certain constraints. In the case of small mass ratio of primaries the relation is reducible to another approximate integral valid for planetary-type motions. In the limit of zero eccentricity of the orbits of primaries the relation yields the Jacobi integral.
Kiewiet de Jonge Joost H.
Vrcelj Zoran
No associations
LandOfFree
An invariant relation in the elliptic restricted problem of three bodies. I does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with An invariant relation in the elliptic restricted problem of three bodies. I, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An invariant relation in the elliptic restricted problem of three bodies. I will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1295600