Triangle of velocities.

Triangle of velocities.

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Metering air traffic requires aircraft to delay their fly-over time at designated enroute fixes. This paper presents an analysis of achievable airborne delays by speed control. To ease real-world implementation, current practices set the same achievable airborne delay to all flights flying the same airway, instead of customizing the achievable dela...

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... as follows. Section II presents the achievable airborne delay by speed control. In Section III, an approach to airspeed estimation is introduced based on radar track data. Through illustrative numerical simulations in Section IV, the achievable delay and its compliance rate are analyzed statistically. The paper ends with conclusions in Section V. Fig. 1 illustrates the definition of relation between the ground speed, airspeed and wind speed in the horizontal plane; v g is the ground speed; v is the true airspeed; ψ is the true track angle; w is the wind vector in the horizontal plane; w c and w a are the cross-and along-track wind speed, respectively; and w n and w e are the wind ...
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... types. The track data are recorded over a week of odd months. In this study we use the 112 days track data from September 2014to March 2017 In this study, v ECON of each flight is estimated based on the track data of each corresponding flight. Using the track data with time histories of longitude and latitude, only the ground speed v g in Fig. 1 can be estimated. Then, the northward and eastward wind speed components, w n and w e , are obtained from the numerical weather prediction data. For the numerical weather prediction data, we employ the Meso Scale Model (MSM) provided by the Japan Meteorological Agency. The MSM data 1 include atmospheric properties such as wind and ...
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... every 0.125 degrees in longitude and 0.1 degrees in latitude at every 50-100 hPa pressure altitudes. In the analysis, the wind and temperature data are interpolated to match the aircraft track data spatially and temporally by using linear interpolation. Thus, by using the radar track data and MSM data, the time history of true airspeed v in Fig. 1 can be ...
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... in cruise are typically controlled to maintain a constant Mach number (or indicated airspeed (IAS)) and pressure altitude, hence v ECON and flight level are assumed to be constant during cruising. Using the radar track data and MSM data, the time history of true airspeed v in Fig. 1 are calculated for each flight, and a single value of v ECON is determined by the linear least-squares method. In order to demonstrate the accuracy of airspeed estimation, actual and estimated airspeeds are compared. The actual airspeed is obtained from a quick access recorder (QAR), which is an on-board flight data recorder. Fig. 3 ...
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... errors on flight time prediction is. Concern about uncertainties is out of scope in this paper, however, it will be considered in future research. Moreover, as shown in Figs. 8 and 9, a drop is seen in all cases around longer CTO assignment time. It is because the CTO assignment time is preceded by the entry time to Fukuoka FIR as shown in Fig. 10. Also, Fig. 10 illustrates the Fukuoka FIR entry rates in different seasons. It should be noted that summer data are comprised of May, July and September, while winter data consist of November, January, and March. Polar jet stream wind blows over Japan from west to east throughout the year, and generally the jet stream tends to be ...
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... flight time prediction is. Concern about uncertainties is out of scope in this paper, however, it will be considered in future research. Moreover, as shown in Figs. 8 and 9, a drop is seen in all cases around longer CTO assignment time. It is because the CTO assignment time is preceded by the entry time to Fukuoka FIR as shown in Fig. 10. Also, Fig. 10 illustrates the Fukuoka FIR entry rates in different seasons. It should be noted that summer data are comprised of May, July and September, while winter data consist of November, January, and March. Polar jet stream wind blows over Japan from west to east throughout the year, and generally the jet stream tends to be stronger in winter ...
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... and March. Polar jet stream wind blows over Japan from west to east throughout the year, and generally the jet stream tends to be stronger in winter than in summer. Accordingly, for airways 1 to 4, the flight times to the CTO fixes generally become shorter in winter than in summer because of the stronger tail wind in winter. Thus, as shown in Fig. 10, the FIR entry rates with CTO assignment times are different between in summer and winter. In order to compare the compliance rates in summer and winter, Fig. 11 shows the compliance rates in summer and winter by applying the MRC speed when delay is assigned to 4 min. Although the maximum compliance rates both in summer and winter are ...
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... Accordingly, for airways 1 to 4, the flight times to the CTO fixes generally become shorter in winter than in summer because of the stronger tail wind in winter. Thus, as shown in Fig. 10, the FIR entry rates with CTO assignment times are different between in summer and winter. In order to compare the compliance rates in summer and winter, Fig. 11 shows the compliance rates in summer and winter by applying the MRC speed when delay is assigned to 4 min. Although the maximum compliance rates both in summer and winter are similar, the CTO assignment time when the compliance rate becomes maximum is longer in summer than in winter. It indicates that the CTO operations efficiency ...
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... Fig. 12 illustrates the compliance rates on different flight levels by applying the MRC speed when delay is assigned to 2, 4 or 6 min. Here, year-round simulation results are shown. Fig. 12 indicates that the compliance rate generally becomes higher at lower flight level. This is because the range of speed reduction becomes wider at the lower ...
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... Fig. 12 illustrates the compliance rates on different flight levels by applying the MRC speed when delay is assigned to 2, 4 or 6 min. Here, year-round simulation results are shown. Fig. 12 indicates that the compliance rate generally becomes higher at lower flight level. This is because the range of speed reduction becomes wider at the lower altitude in terms of aircraft performance. It clearly shows that 4 or 6 min delay can be achieved even by applying the MRC speed for the flights flying at lower flight level with ...
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... Fig. 13 shows the fuel savings for the CTO compliant flights when delay is assigned to 1 to 6 min. As described above, since it is possible to achieve delay of up to approximately 6 min with higher compliance rate, fuel savings are evaluated when delay is assigned to up to 6 min. Despite the flight time increase, potential fuel savings are ...
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... the fuel savings for the CTO compliant flights when delay is assigned to 1 to 6 min. As described above, since it is possible to achieve delay of up to approximately 6 min with higher compliance rate, fuel savings are evaluated when delay is assigned to up to 6 min. Despite the flight time increase, potential fuel savings are expected as shown in Fig. 13. As shown in Figs.8 and 9, more than half of flights can achieve up to 6 min delay by reducing airspeed to the MRC speed. Accordingly, the flights can save enough fuel by speed control despite the flight time increase, and 2-3% fuel savings can be expected on the average as shown in Fig. 13. In current ATM operations, airborne holding ...
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... potential fuel savings are expected as shown in Fig. 13. As shown in Figs.8 and 9, more than half of flights can achieve up to 6 min delay by reducing airspeed to the MRC speed. Accordingly, the flights can save enough fuel by speed control despite the flight time increase, and 2-3% fuel savings can be expected on the average as shown in Fig. 13. In current ATM operations, airborne holding or radar vectoring are commonly used instead of speed control for flight time management. In the case of imposing the same amount of delay, speed control can save fuel consumption, though holding requires an additional fuel by flying at VOLUME 8, 2020 nominal airspeed. It is clear that the ...

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