hiten 0.1.0

Algorithms and utilities for the restricted three-body problem

HITEN - Computational Toolkit for the Circular Restricted Three-Body Problem

Overview

HITEN is a research-oriented Python library that provides an extensible implementation of high-order analytical and numerical techniques for the circular restricted three-body problem (CR3BP).

Examples

1. High-order parameterisation of periodic orbits and their invariant manifolds

   The toolkit constructs periodic solutions such as halo orbits and obtains polynomial representations of their stable and unstable manifolds. This enables fast, mesh-free evaluation of trajectories seeded on these structures.

   

   Figure 1 – Stable manifold emanating from a halo orbit around the (L_1) libration point.

2. Computation of Lyapunov families and associated transport pathways

   Built-in continuation routines retrieve vertical Lyapunov orbits of varying amplitudes. Their invariant manifolds reveal natural transport channels that can be exploited for low-energy mission design.

   

   Figure 2 – Stable manifold corresponding to a vertical Lyapunov orbit.