Instantaneous GPS/Galileo/QZSS/SBAS Attitude Determination: A Single-Frequency (L1/E1) Robustness Analysis under Constrained Environments

Abstract

The augmentation of new global navigation satellite systems (GNSS) to existing GPS enhances the availability of satellite based positioning, navigation, and timing (PNT) solutions. Among existing systems, the European Galileo system, the Japanese quasi-zenith satellite system (QZSS), and satellite based augmented systems (SBAS) share at least one frequency (L1/E1) with GPS. In this contribution we analyse the robustness of single-frequency instantaneous carrier-phase attitude determination using data from some or all of the four systems GPS/Galileo/QZSS/SBAS. The performance of the constrained (C)-LAMBDA method is studied under various satellite deprived environments and compared to that of the standard LAMBDA method, using L1/E1 data that was observed for ten days at Curtin University, Perth, Australia. The results demonstrate the enhanced robustness that combinations of the four systems bring to single-epoch single-frequency attitude determination.

Attitude Determination Algorithms through Accelerometers, GNSS Sensors, and Gravity Vector Estimator

“…Newton-Euler equations are used in order to estimate angular velocity (see (9)), where I B is the rocket inertia tensor defined in (10), M ai are the passive aerodynamic moments which actuate on the projectile, and M control are the moments generated by control surfaces. Passive aerodynamic moments are defined in (11), where O is the overturn moment, P M is the pitch damping moment, M M is the Magnus moment, and S is the spin damping moment. …”

“…The underlying theory and advanced algorithms for much of the above-referred integer-ambiguity-resolved carrier-phase GNSS attitude determination methods can be found in [7][8][9]. Multi-GNSS developments of integrating GNSS systems for attitude determination are stated in [10,11].…”

Instantaneous GNSS attitude determination: A Monte Carlo sampling approach

“…The Global Navigation Satellite System (GNSS) is conceived as a viable alternative or complement to traditional attitude sensors for attitude determination of land, sea, air, and space vehicles [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. The key to high-precision GNSS attitude determination is integer ambiguity resolution.…”

“…The key to high-precision GNSS attitude determination is integer ambiguity resolution. Compared with motion-based ambiguity resolution methods [11,[15][16][17] which exploit the time-varying receiver-satellite geometry, search-based methods [7,[12][13][14][18][19][20][21][22][23][24][25] achieve instantaneous attitude determination and can be used in GNSS-challenged environments where frequent losses of lock occur. Among various search-based methods, the LAMBDA (Least-squares AMBiguity Decorrelation Adjustment) method [20,26] and its variants [6][7][8][9]21,22,[27][28] have been widely used for their numerical efficiency and high success rate.…”

Zero‐baseline Analysis of GPS/BeiDou/Galileo Between‐Receiver Differential Code Biases (BR‐DCBs): Time‐wise Retrieval and Preliminary Characterization

“…The space‐borne and ground‐based Global Navigation Satellite System (GNSS) measurements with extensive spatial coverage and high temporal resolution are particularly ideal for studying the ionosphere . Over the past few decades, the ionospheric information retrieved from the GPS measurements broadcast at two frequencies has enabled us to understand the intrinsic mechanisms of the space weather effects , to explore the potential causes of the seismic hazards and to improve the empirical precision of space geodetic applications . In addition to the GPS that is undergoing uninterrupted modernization, the Chinese BeiDou and European Galileo are currently under development for global operation as well .…”