  Recently, Near Earth Objects (NEOs) have been attracting great attention, and
thousands of NEOs have been found to date. This paper examines the NEOs'
orbital dynamics using the framework of an accurate solar system model and a
Sun-Earth-NEO three-body system when the NEOs are close to Earth to search for
NEOs with low-energy orbits. It is possible for such an NEO to be temporarily
captured by Earth; its orbit would thereby be changed and it would become an
Earth-orbiting object after a small increase in its velocity. From the point of
view of the Sun-Earth-NEO restricted three-body system, it is possible for an
NEO whose Jacobian constant is slightly lower than C1 and higher than C3 to be
temporarily captured by Earth. When such an NEO approaches Earth, it is
possible to change its orbit energy to close up the zero velocity surface of
the three-body system at point L1 and make the NEO become a small satellite of
the Earth. Some such NEOs were found; the best example only required a 410m/s
increase in velocity.
