Semi-analytical estimation of the probability of capture into 1:1 ground-track resonance of a low-thrust spacecraft around an asteroid

Boumchita, Wail and Feng, Jinglang and Neishtadt, Anatoly (2023) Semi-analytical estimation of the probability of capture into 1:1 ground-track resonance of a low-thrust spacecraft around an asteroid. In: 12th International Conference on Guidance, Navigation & Control Systems (GNC) & 9th International Conference on Astrodynamics Tools and Techniques (ICATT), 2023-06-12 - 2023-06-16.

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Abstract

This paper presents a semi-analytical methodology to estimate the probability of capture into 1:1 ground-track resonance of a low-thrust spacecraft around an asteroid. The system dynamics are described by a Hamiltonian model that considers the perturbations from the irregular gravitational field up to the second order and degree, and the continuous low thrust that remains constant in magnitude and is always in the direction opposite to the spacecraft’s velocity. The model focuses on the equatorial case of the 1:1 ground-track resonance. When a trajectory is close to the resonance location, its behavior becomes non-deterministic, making it necessary to estimate the probability of capture into resonance. A fourth-order polynomial is used to numerically approximate the separatrices of the resonance region, while the change of the system’s energy balance when the trajectory crosses the separatrices is determined with a global adaptive quadrature method. Subsequently, the probability of capture into resonance is estimated, and the accuracy of the results is verified by comparing them to numerical simulations based on the perturbed Hamilton’s equations of motion. This research makes a significant contribution to the field of astrodynamics by systematically and efficiently analyzing the probability of low-thrust spacecraft capture into ground-track resonance around asteroids.

ORCID iDs

Boumchita, Wail, Feng, Jinglang ORCID logoORCID: https://orcid.org/0000-0003-0376-886X and Neishtadt, Anatoly;
  • Item type:Conference or Workshop Item(Paper)
    ID code:85914
    Dates:
    Date
    Event
    14 June 2023
    Published
    29 May 2023
    Accepted
    Subjects:UNSPECIFIED
    Department:Faculty of Engineering > Mechanical and Aerospace Engineering
    Depositing user: Pure Administrator
    Date deposited:22 Jun 2023 14:06
    Last modified:17 Nov 2024 01:39
    URI:https://strathprints.strath.ac.uk/id/eprint/85914
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