Rodney Gomes of the Brazilian Observatorio Nacional said his team's calculations give an "elegant explanation for the current tilt between the invariant plane
of the inner giant planets and the solar equator, and add new constraints to the orbital elements of Planet Nine".
omega]]), under the assumption of Corollary 2, tends to the invariant plane cz + d = 0, and studying the dynamics on this invariant plane we can determine the [alpha]-limit sets.
g] can be an exponential factor, coming from the multiplicity of the infinite invariant plane.
Due to a variety of perturbing effects, the so-called six orbital elements describing the orbit increase or decrease with time, and the satellite orbit could not be considered as an ellipse strictly in an invariant plane