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The bifurcation thresholds of the Halo orbits is investigated for the Circular Restricted Three Body Problem (CR3BP) with the inclusion of Solar Radiation Pressure (SRP) and oblateness. This is carried on both numerically and analytically. After reducing the system to the central manifold, which eliminates the hyperbolic directions of the motion, the Bifurcation thresholds
are thus numerically evaluated using Fast Lyapunov Indicators (FLI) and Frequency analysis techniques. The accordance between the numerical results and the analytical estimations is shown. Finally the variation of the bifurcation values as the SRP varies into a feasible range, accounting near term technology advances, is investigated. |
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