The role of the mass ratio in ballistic capture

Luo, Zong-Fu

doi:10.1093/mnras/staa2366

Cited by 4 publications

(2 citation statements)

References 52 publications

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“…Belbruno (1987) first proposed the concept of Weak Stability Boundary and successfully applied it to the Japanese Hiten spacecraft (Belbruno & Miller 1993). Topputo & Belbruno (2009), Luo et al (2014), Luo & Topputo (2017, 2021, Luo (2020) studied the gravity-assisted capture in different systems. Studies have also been carried out on the application of the capture mechanism to retrieve asteroids into the near-Earth space (e.g., Baoyin et al 2010).…”

Section: Introductionmentioning

confidence: 99%

Capture Efficiency Analysis in the Circular Restricted Three-body Problem

Miao,

Hou

2024

Res. Astron. Astrophys.

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The temporary capture problem of massless particles around the secondary is studied in the circular restricted three-body problem. The gravitational influence of the secondary on the orbit distribution of the particles is taken into account by means of a numerical iterative process. A relatively steady state of the orbital element distribution of the particles is used to compute the capture efficiency. Our study finds that the final computed result is influenced by the circumsphere around the secondary, and a way is proposed to determine the size of the circumsphere. Two methods of computing the capture efficiency are used and compared, and consistent results are obtained. When the mass ratio μ is 3.0035 × 10-6 (which is the same as in the Sun-Earth system), a recommended value of the circumsphere size is 6 Hill Radii of the secondary, and the computed capture efficiency is ∼ 1.54 × 10-4. The influence of the mass parameter of the secondary on the capture efficiency is also investigated and a power-law relationship between the capture efficiency p and the mass ratio μ holds as p ≈ 0.14 × μ0.52, when 3.0035 × 10−6 ≤ μ ≤ 3.0034 × 10−5. The current study can be extended to more realistic force models and may help us understand the temporary capture of natural bodies by the major celestial bodies in our solar system (e.g. the Sun-Earth system).

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Section: Introductionmentioning

confidence: 99%

Capture Efficiency Analysis in the Circular Restricted Three-body Problem

Miao,

Hou

2024

Res. Astron. Astrophys.

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“…From an operational point of view, this benign process is safer than performing a high or moderate capture maneuver, as required by a Hohmann transfer or a conventional aerobraking. Stabilization maneuvers can even be totally canceled if temporary, irregular capture orbits are tolerated [21,22,23,24,25]. Moreover, ballistic capture can provide more flexible launch opportunities because the paradigm is no longer to target a physical point in space, but rather reaching a manifold that supports capture [3,26].…”

Section: Introductionmentioning

confidence: 99%

Mars orbit insertion via ballistic capture and aerobraking

Luo

Topputo

2021

Astrodyn

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A novel Mars orbit insertion strategy that combines ballistic capture and aerobraking is presented. Mars ballistic capture orbits that neglect aerodynamics are first generated, which are distilled from properly computed stable and unstable sets by using an already-established method. A small periapsis maneuver is implemented at first close encounter to better submit the post-capture orbit to the aerobraking process. An ad-hoc patching point marks the transition from ballistic capture to aerobraking, from which an exponential model simulating Mars atmosphere and a box-wing satellite configuration is considered. A series of apoapsis trim maneuvers are then computed by targeting a prescribed pericenter dynamic pressure. The aerobraking duration is estimated by using a simplified two-body model. A yaw angle tuning cancels inclination deflections due to out-of-plane perturbation from the Sun. A philosophy combining in-plane and out-of-plane dynamics is proposed to achieve the required semi-major axis and inclination simultaneously. Numerical simulations indicate that the developed method is more efficient in terms of fuel consumption, insertion safety, and flexibility than state-of-the-art insertion strategies.

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Ballistic Capture Analysis Using the Energy Transition Domain

Anoè,

Bombardelli,

Armellin

2024

Journal of Guidance, Control, and Dynamics

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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.

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The role of the mass ratio in ballistic capture

Cited by 4 publications

References 52 publications

Capture Efficiency Analysis in the Circular Restricted Three-body Problem

Capture Efficiency Analysis in the Circular Restricted Three-body Problem

Mars orbit insertion via ballistic capture and aerobraking

Ballistic Capture Analysis Using the Energy Transition Domain

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