Space debris orbiting around the Earth is becoming a major problem that could impair the future of space exploration. This problem was formulated the first time in the 1960 by the scientist Willy Ley. Then, in the 1978 the scientist Donald J. Kessler formulate a possible dystopian scenario that takes the name of Kessler syndrome. Among the different approaches to this problem that have been proposed in recent years, this thesis focuses on a possible solution exploiting an automated method. One important challenge of this approach is that when the space debris is collected by the spacecraft (S/C), its unknown mass will affect the dynamics of the whole system.