High-Order Analytic Expansion of Disturbing Function for Doubly Averaged Circular Restricted Three-Body Problem

Figure 2

Equipotential curves computed through the doubly averaged disturbing function and plotted on the plane . Columns are, from the left, (for (a), (b)) or (for (c), (d), (e), and (f)), , , and the numerical quadrature defined by (52). Rows are, from the top, (a) , (b) , (c) , (d) , (e) , and (f) for the analytic expansion and for the numerical quadrature. The black dashed circles represent the theoretical maximum eccentricity of each of the systems. The red and the blue partial circles represent the conditions where the orbits of perturbed and perturbing bodies cross at the ascending node (red) and at the descending node (blue) of the perturbed body.

(a)

(b)

(c)

(d)

(e)

(f)