The search for asteroids in the L4 and L5 libration points in the earth-sun system

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Asteroids, Extraterrestrial Resources, Lagrangian Equilibrium Points, Trojan Orbits, Aerodynamic Stability, Amor Asteroid, Apollo Asteroids, Nonlinear Equations, Orbit Calculation, Orbit Perturbation, Space Commercialization, Space Manufacturing

Scientific paper

The existence of Trojan-type aggregations of asteroids associated with earth and other planets aside from Jupiter is a problem which has not been fully solved either theoretically or observationally. In this paper, the dynamics of libration orbits in the earth-sun system are discussed, using both numerical integrations and simple theoretical models to outline problems of stability and effects of perturbations. It is found that the greatest potential disturbance to the stability of these orbits is due to the 13:8 synodic Venus perturbation, which resonates with the libration frequencies of most earth Trojan orbits. Problems of observation in searching for any existing asteroids include the distance, phase angle, and wide area of sky coverage corresponding to the possible orbits. The implications of the existence of earth Trojan asteroids for space industrialization based on nonterrestrial materials are discussed, with the conclusion that the short mission times and low required delta-V values to reach and retrieve them make them a potentially important resource.

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