Evolution of the argument of pericentre (ϖ_p), the impact parameter (b), and the transit duration ($\mathrm{\Delta }\overline{\tau }={\overline{\tau }}_f-{\overline{\tau }}_0$) for WASP-49Ab over a single planetary period (left panel) and over 100 years (right panel). The left panel illustrates the parameter evolution both with a moon (wm, solid lines) and without a moon (nm, dashed lines) under different orbital models: Newtonian (N), relativistic (GR), and relativistic with J₂ effects (J₂ + GR). The coloured lines represent these models, highlighting the significant differences in the long-term and short-term dynamics of the system.