15:1 Resonance effects on the orbital motion of artificial satellites

Dynamics of Resonant Curves of Earth-Moon system under the influence of Resistive Force using Unperturbed Solution

“…Kuznetsov (2010) [14] discussed the properties of resonance zones and analyzed them as a function of the semi-major axes using the Hori-DePrit method. Formiga and Moraes (2011) [7] have discussed the motion of artificial satellites on 15:1 resonance under the impact of geopotential perturbations.…”

“…, (4),(5), and (6) are represent the 2-D resonant curves at the resonant points θm0 = 2 γ, 3 θm0 = 2 γ, θm0 = γ, θm0 = α0 , and 3 θm0 = 2 α0 for amplitudes A (b)1 , A (b)3 , A (b)5 and A (b)6 for the suitability of coefficient of resistive force (b). We have observed that the Moon's motion has zerodamping, light damping, medium damping, and heavy damping for the values b = 0, 0.1, 0.2, 0.3.• In figure(7), we have studied the impact of eccentricity (e) on the amplitudes A (b)1 , A (b)3 , A (b)5 , and A (b)6 . In this case, figures represents that the amplitudes increase when eccentricity increases.• In figure(8), we have analyzed the impact of semi-major axis (a) on amplitudes A (b)1 , A (b)3 , A (b)5 , and A (b)6 .…”