Some Initial Conditions for Disposed Satellites of the Systems GPS and Galileo Constellations

Figure 8

Time evolution of the eccentricity (a) and the critical angle (b) obtained from integration of (4.1). Initial conditions: a = 4.805 𝑅_𝑇, e = 0.005, I = 56.06°. Initial (𝜔,Ω): (24°, 0°): black, (23°, 2°): red, (18°, 8°): blue. These initial conditions were extracted from the red square shown in Figure 6. Initial conditions of the Moon: a_L = 380, 367.2 km, e_L = 0.0276, I_L = 18.28°, Ω_𝐿=12.11^∘, 𝜔_𝐿=92^∘, and 𝑙_𝐿=337^∘. As expected, the eccentricity remains less than 0.005 for at least 250 years.

(a)

(b)