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Article

Ballistic Capture Analysis Using the Energy Transition Domain

Publicated to:Journal Of Guidance Control And Dynamics. 47 (4): 666-684 - 2024-04-01 47(4), DOI: 10.2514/1.G007730

Authors: Anoé, L; Bombardelli, C; Armellin, R

Affiliations

Tech Univ Madrid, Space Dynam Grp, Plaza Cardenal Cisneros 4 - Author
Univ Auckland, Te Punaha Atea Space Inst, 20 Symonds St - Author

Abstract

In the framework of the planar Circular Restricted Three-Body Problem (CR3BP) and for a given value of the Jacobi constant, a necessary condition for a ballistic capture is a passage through zero two-body energy, which defines a region in the synodic plane called energy transition domain (ETD). The latter is the locus of points where the zero-energy condition and selected Jacobi constant are simultaneously fulfilled. This paper shows how an ETD can be described analytically and exploited for the efficient computation and insightful classification of the complete set of ballistic capture trajectories in the planar problem. The new methodology is applied to different three-body systems and highlights the influence of the three-body energy on key aspects of the capture mechanism, such as prograde to retrograde transition. Other interesting results concern three-body energy limits, collisions, long-duration captures, altitude range throughout the capture process, and the origin of ballistic capture orbits.

Keywords
Asteroid captureBallistic captureCislunar orbitCurvilinear coordinatesDistant retrograde orbitGravitational captureInterplanetary trajectoriesInvariant-manifoldsMulti body dynamicsNon-keplerian orbitNonlinear dynamicsOrbital mechanicsPeriodic-orbits

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Journal Of Guidance Control And Dynamics due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2024 there are still no calculated indicators, but in 2023, it was in position 31/76, thus managing to position itself as a Q1 (Primer Cuartil), in the category Instruments & Instrumentation.

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2025-05-17:

  • Scopus: 2
Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-05-17:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 6 (PlumX).
Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: New Zealand.