Trajectory analysis of a dual-spin-stabilized projectile with fixed-canards for the precision guidance kit

Abstract

The dual-spin-stabilized projectile’s mechanism of angular motion is analyzed, taking into account the two pairs of fixed-canards. Based on the non-homogeneous terms of the angle of attack (AOA) equation, the gyroscopic stability and precession feature of a double-spinning projectile are theoretically analyzed. The negative AOA is unraveled under the influence of two pairs of fixed-canards. Furthermore, the dual-spin-stabilized projectile’s angular movements, with the lift-canards fixed at different directions, are described; thus, the phenomenon is revealed whereby the deflection of the lift-canards is opposite to that of the projectile correction direction. Then, the Monte Carlo trajectory simulation is used to verify the angular motion law of a dual-spin-stabilized projectile with fixed-canards. The results of the analysis offer a meaningful strategy to control a class of dual-spin-stabilized projectiles that is not limited to the fixed-canard type.

Keywords

Dual-spin-stabilized projectile angular motion negative AOA fixed-canard gyroscope effect

Get full access to this article

View all access options for this article.

References

Crassidis

Lai

Harman

. Real-time attitude-independent three-axis magnetometer calibration. J Guidance Control Dyn 2012; 28(1): 115–120. DOI: 10.2514/1.6278.

Lee

Kim

Park

, et al. Roll estimation of a smart munition using a magnetometer based on an unscented kalman Filter. In: AIAA Guidance, Navigation & Control Conference & Exhibit, Honolulu, Hawaii, 2008. DOI: 10.2514/6.2008-7460.

Silvestro

Ilvedson

Diprizito

, et al. A closed loop simulation environment for GPS/INS guidance systems. In: AIAA Modeling & Simulation Technologies Conference & Exhibit, Boston, MA, 2013. DOI: 10.2514/6.2007-6467.

Jung

Park

, et al. A study on the aerodynamic characteristics for a spin-stabilized projectile with PGK. In: Proceedings of the 26th International Symposium on Ballistics, Miami, 2011; 33(1): 578–586. http://proceedings.ndia.org/1210/12032.pdf.

Wernert

Theodoulis

. Modelling and stability analysis for a class of 155 mm spin-stabilized projectiles with course correction fuse (CCF). In: AIAA Atmospheric Flight Mechanics Conference, Boston, MA, 2011. DOI: 10.2514/6.2011-6269.

Fresconi

. Guidance and control of a fin-stabilized projectile based on flight dynamics with reduced sensor and actuator requirements. J Guidance, Control, Dynamics 2011; 34(6): 1757–1766. DOI: 10.2514/6.2011-6248.

Wernert

Theodoulis

Morel

. Flight dynamics properties of 155 mm spin-stabilized projectiles analyzed in different body frames. In: AIAA Atmospheric Flight Mechanics Conference, Toronto, ON, 2010. Canada. DOI: 10.2514/6.2010-7640.

Wernert

Theodoulis

. Flight control for a class of 155mm spin-stabilized projectiles with course correction fuse (CCF). In: AIAA Guidance, Navigation, & Control Conference, Portland, Oreg, 2011. DOI: 10.2514/6.2011-6247.

Theodoulis

Gassmann

Wernert

, et al. Guidance and control design for a class of spin-stabilized fin-controlled projectiles. J Guidance Control Dyn 2013; 36(2): 517–531. DOI: 10.2514/1.56520.

10.

Yuan

Liangxian

Lei

. Modelling and simulating dynamics of missiles with deflectable nose control. Chin J Aeronautics 2009; 22(005): 474–479. DOI: 10.1016/S1000-9361(08)60128-4.

11.

Zhao

Yang

. Integrated cooperative guidance framework and cooperative guidance law for multi-missile. Chin J Aeronautics 2018; 31(03): 546–555. DOI: CNKI: SUN: HKXS.0.2018-03-013.

12.

Storsved

. Precision guidance kit affordable precision for future artillery. In: 44th Annual Gun & Missile Systems Conference & Exhibition, Kansas, MO, 2009. https://ndiastorage.blob.core.usgovcloudapi.net/ndia/2009/gunmissile/7876storsved.pdf.

13.

Peter

Anthony

. XM1156 precision guidance kit (PGK) overview. In: NDIA-53rd Annual Fuze Conference: Lake Buena Vista, Florida, 2009. https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.386.3598&rep=rep1&type=pdf.

14.

Zhang

Chen

Shen

, et al. Real-time trajectory planning for ucav air-to-surface attack using inverse dynamics optimization method and receding horizon control. Chin J Aeronautics 2013; 26(115): 211–229. DOI: CNKI: SUN: HKXS.0.2013-04-026.

15.

Chang

Wang

Liu

. Analysis of spin-rate property for dual-spin-stabilized projectiles with canards. J Spacecraft Rockets 2014; 51(3): 958–966. DOI: 10.2514/1.A32830.

16.

Liang

Huang

Zhang

. Optimal design of the aerodynamic parameters for a supersonic two-dimensional guided artillery projectile. Defence Technol 2017; 13(03): 91–96. DOI: 10.1016/j.dt.2017.05.003.

17.

Han

. Exterior ballistics for projectile and rockets (in Chinese). Beijing: Beijing Institute of Technology Press, 2014.

18.

Wernert

. Stability analysis for canard guided dual-spin stabilized projectiles. In: AIAA Atmospheric Flight Mechanics Conference, Chicago, IL, 2009. DOI: 10.2514/6.2009-5843