Initial Condition Maps of Subsets of the Circular Restricted Three Body Problem Phase Space

Hagen, L., Utku, A. & Palmer, P.L.

The six-dimensional phase space of the Circular Restricted Three
Body Problem offers opportunity to exploit dynamics commonly found in the
solar system for unique spacecraft trajectories. Poincare first introduced the
idea of reducing the phase space by observing a surface of section, or a Poincare
map. In this paper, we show an alternate map parameterization that classifies
trajectories according to their qualitative end state and reflects their status
onto an initial condition grid. While this method does not allow a visualization
of the entire phase space at once, it does allow insight into reduced regimes of
the phase space.

 

Paper:Luke Motion Map

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