Optimization of an aircraft flight trajectory in the GLONASS dynamic accuracy field

Abstract

Advanced technologies in air traffic management assume the transition to flexible routing based on the use of the satellite navigation systems. However, the accuracy of these systems depends on the location of the navigation satellites in relation to the target object and will vary in the available airspace. Therefore, the designed optimal flight path of the aircraft should be built taking into account the accuracy of its keeping in the variable navigation-time field (accuracy field) of the satellite navigation system. The accuracy field of the satellite navigation systems can be characterized by the geometric factor (spatial, horizontal and vertical). The geometric factor of the satellite navigation system is determined by the relative position of the consumer and the satellites upon which the navigation problem is solved, and is a deterministic value. Due to the orbital motion of satellites and the movement of the consumer, the geometric factor will change in space and time. Knowing the laws of the satellites orbital motion it is possible to calculate the geometric factor for any point in the air space and for any moment of time according to the known almanac of the system. This allows predicting the expected accuracy of the navigation and time determination during the flight on a particular air route. Optimization methods based on the algorithms of A-star and Dijkstra graph theory are chosen for aircraft flight trajectories construction. Mathematical modeling is used for the optimal trajectory construction in the GLONASS dynamic accuracy fields with their various structures in static and dynamic problem setting.

Algorithms for aircraft track optimization in flexible routing

“…With regard to the air transport system, the airspace or its separate elements among which the aircraft move can be represented as a route network. Such networks are modelled as graphs and a set of specifically connected vertices allows the optimal flight route to be constructed between the entry and exit points of the airspace zone [12]. Dijkstra's and Astar algorithms are the most known graph theory algorithms for searching the shortest path between two points [6].…”

“…Distribution of PDOP values in space we will consider as a feature of the GLONASS accuracy field. Determination of set of points where the PDOP values are equal or within the given limits allows the SNS accuracy field to be constructed as areas with equal PDOP values [12]. The forecast of SNS accuracy field in any moment of time and for any airspace point is possible as PDOP is a changing but determined characteristic of SNS accuracy.…”

Improving positioning accuracy of aircraft using SPP method in GLONASS system

“…In paper (Jin et al, 2009), the ambiguity solution was estimated using GPS/GLONASS data for purpose of aircraft attitude orientation. More recently, a scientific issue of interest using GLONASS is also the continuous monitoring and optimisation of flight trajectory with control functions during approach and landing (Skrypnik & Arefyeveva, 2017;Baburov et al, 2017;Skrypnik et al, 2018;Gorskiy et al, 2019;Skrypnik & Arefyev, 2020). Furthermore, the GLONASS system is being used together with other telemetry sensors at airports within the Russian Federation as part of the 'Digital Smart Airport' programme (Khadonova et al, 2020).…”

“…Krasuski, K., Ciećko, A., Grunwald, G., Kirschenstein, M., Archives of Transport, 69(1),[21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37] 2024 …”