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A flow-informed strategy for ballistic capture orbit generation

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Abstract

Ballistic capture is a phenomenon by which a spacecraft approaches its target body, and performs a number of revolutions around it, without requiring manoeuvres in between. Capture orbits are characterized by specific dynamics, defining regions that guide transport phenomena. Because of the limitations associated with existing approaches, the development of heuristics informed by Lagrangian Coherent Structures appears desirable. In fact, such structures identify transport barriers in dynamical systems, separating regions with qualitatively different dynamics. In this work, different flow-informed approaches are presented, and their relations with ballistic capture are discussed. A new heuristic, the time-varying strainline, is introduced. This new tool is applied to compute ballistic capture orbits around Mars. Different degrees of model fidelity have been investigated, mainly in order to test the robustness of the proposed technique with respect to different features of the underlying dynamical model. We show that time-varying strainlines are useful in identifying ballistic capture orbits.

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Notes

  1. https://naif.jpl.nasa.gov/naif/toolkit.html - last visited: 11-05-2021

  2. While such nomenclature has been first encountered in fluid dynamics works, similar efforts had been conducted in the celestial mechanics community to investigate chaos (Froeschlé et al. (1997)). Such a parallelism can be traced back to the streamline analogy given in Szebehely (1967).

  3. For a discussion about the limitations of the FTLE field see, e.g., Kelley et al. (2013); Haller (2010)

  4. Design choices made here are driven by the analysis performed in Luo and Topputo (2015).

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Acknowledgements

This work has been carried out in the context of a TU Delft Master Thesis in Space Flight.

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Correspondence to M. Manzi.

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Manzi, M., Topputo, F. A flow-informed strategy for ballistic capture orbit generation. Celest Mech Dyn Astr 133, 54 (2021). https://doi.org/10.1007/s10569-021-10048-2

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  • DOI: https://doi.org/10.1007/s10569-021-10048-2

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