Abstract
These days, the continuous descent operation (CDO) is one of the hot topics in the air traffic management (ATM). However, because of the congestion in the terminal area, some aircraft with the CDO are interrupted by climbing aircraft. To resolve this problem, the optimal conflict-free trajectory for the climbing aircraft is studied. To calculate the trajectory suitable for the ATM, the unique coordinate system is introduced. This coordinate system is called space-time coordinate system (STCS), and the vertical axis of the STCS is time. By the STCS, the time is able to be treated along with the position, and the temporal conflict resolution is able to be formulated along with the spatial conflict resolution. In this paper, the conflict-free trajectories with the spatial and the temporal conflict resolutions are calculated. These trajectories are compared in terms of the fuel consumption.