The Restricted 2+2 Body Problem: Parametric Variation of the Equilibrium States of the Minor Bodies and Their Attracting Regions

Figure 7

(a) The angles 𝜔,𝜃 between the 𝑥-axis and O𝐿₄ and the straight line formed by the two inline points, respectively, (b) variation of the slopes 𝜆 of the two straight lines, O𝐿₄ (blue curve), and the one passing through the inline equilibria (red curve), with mass parameter 𝜇, (c) angle of declination 𝜑 (red points) for various values of 𝜇 and the polynomial approximation (blue curve), and (d) directions of the inline equilibrium pairs for three particular values of 𝜇(𝜇→0,and𝜇=0.25,0.5).

(a)

(b)

(c)

(d)