Passenger flight delays in civil aviation systems cause much harm to people’s daily lives. Recent works confirmed that the simple laws of delays emerge from the complex interactions of the systems’ elements, the patterns of which can be traced by the actual operations of passenger flights. Figuring out the underlying mechanism of the collective behaviours of flights is required to capture the law of delays, and to alleviate them. In the present work, based on the historical records of the United States from 1995 to 2020, we propose state equations to describe the motion of Arrival/Departure(AD) type flights by considering the attractions from airports and air routes together with the repulsions between flights. We erect the universal gaseous constant R by removing the intercepts representing the systemic errors. With the linear relationship between the number of air routes and the mole number, we calculate the critical thermodynamic quantities. Introducing the reduced ones with them, we generalize the principle of corresponding states of passenger flight particle gases. According to it, we think increasing the number of AD type flights between airports would be a proper strategy for alleviating flight delays. We hope the general ideas presented here can stimulate much more work in civil aviation and be used to solve practical problems in other fields.
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