This paper investigates the concept of capturing in the Earth's neighbourhood Earth-approaching objects such asasteroids and comets. These objects may provide access to potential resources, as well as be potential scientific missionopportunities. A statistical approach is used to assess the fraction of the near-Earth object population with a given set ofKeplerian elements. This is used to estimate the number of objects with the potential to fly-by the Earth with lowrelative velocities. The circular restricted three-body problem is then used to show that objects approaching Earth at lowhyperbolic excess velocities can potentially be gravitationally captured at Earth. The Tisserand parameter, used as anapproximation of the Jacobi constant, can be used to delimit the orbital regions from were low-energy transfers shouldbe expected to exist and asteroids could possibly be transported at a minimum expenditure of energy. Finally, a semianalyticalapproximation of the gravitational perturbation in the CR3BP is used to assess the feasible asteroid transportfluxes of capturable material that could be achieved by judicious use of Earth gravitational perturbations.
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