3D orbital configurations

Inner four planets

Views of the four inner planetary orbits in the beginning and final parts of the integrations N_+/-. The unit of axes are AU. The xy-plane is set to the invariant plane of solar system total angular momentum. In each panel, a total of 23684 points are plotted with an interval of about 2190 years during 5.47*10^7 yr. Solid lines in each panel denote the present orbits of the four terrestrial planets (taken from DE245).

N+1

(beginning parts)
(final parts)

N+2

(beginning parts)
(final parts)

N+3

(beginning parts)
(final parts)

N-1

(beginning parts)
(final parts)

N-2

(beginning parts)
(final parts)

N-3

(beginning parts)
(final parts)

Outer five planets

Oblique and vertical views of the outer five planetary orbits in final parts of the integrations F_+/- viewed from an inertial frame. The unit of axes is AU. The xy-plane is set to the invariant plane of solar system total angular momentum. In each panel, a total of 23810 points are plotted with an interval of about 87611 years during 1.814*10^9 yr.

F+ (viewed from an inertial frame)

(beginning parts)
(final parts)

F- (viewed from an inertial frame)

(beginning parts)
(final parts)

In figures below, a rotation is applied to the coordinate system so that Pluto's perihelion always lies on an x-axis. Such transformations make the figures easier to look at since inclination and eccentricity of Pluto are much larger than those of other planets.

F+ (with Pluto's perihelion fixed)

(beginning parts)
(final parts)

F- (with Pluto's perihelion fixed)

(beginning parts)
(final parts)