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Minimum-cost path
Select a family to set the source
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Select two families to compute the minimum-cost multileg route.
How to read this map
- Nodes are representative periodic-orbit families.
- Edges show candidate family-to-family connections.
- Edge color represents proxy maneuver cost.
- Larger nodes have higher harmonic closeness — better global gateway or staging families.
- Structural bottlenecks are families whose removal strongly changes network connectivity.
Network roles
| Metric | Role | Meaning |
|---|---|---|
| Strength | Hub score | Many low-cost direct connections |
| Harmonic closeness | Gateway / staging score | Efficient access to many other families |
| Betweenness | Relay score | Often lies along minimum-cost multileg routes |
Maximum Budget summary
At the maximum-budget case, the network contains 75 of 78 possible direct family pairs. The (3,2)-cycler, C32, appears as the dominant hub, gateway, and relay. The 2:1 stable resonant family, R21-S, remains the hardest-access family, with missing direct pairs LL1–R21-S, LL2–R21-S, and DPO–R21-S.
Budget regimes
The network transitions through three distinct operational regimes as budgets increase:
- Sparse direct accessibility — time-critical retasking.
- Graph connectedness — sustained coverage.
- Multileg accessibility — time-flexible redistribution.
At low time-of-flight budgets, the (1,1)a-cycler (C11a) emerges as the dominant gateway family.
Family abbreviations
| LL1 | L1 Lyapunov |
| LL2 | L2 Lyapunov |
| C11a | (1,1)a-cycler |
| C11b | (1,1)b-cycler |
| C21 | (2,1)-cycler |
| C32 | (3,2)-cycler |
| R21-S | 2:1 stable resonant |
| R21-U | 2:1 unstable resonant |
| R31-S | 3:1 stable resonant |
| R31-U | 3:1 unstable resonant |
| R52-S | 5:2 stable resonant |
| R52-U | 5:2 unstable resonant |
| DPO | Distant prograde orbit |