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Corrigendum Corrigendum to (Simulation-Based Early Prediction of Rocket, Artillery, and Mortar Trajectories and Real-Time Optimization for Counter-RAM Systems) Arash Ramezani and Hendrik Rothe Helmut-Schmidt-University/University of the Federal Armed Forces Hamburg, Institute of Automation Technology, Chair of Measurement and Information Technology, Holstenhofweg 85, 22043 Hamburg, Germany Correspondence should be addressed to Arash Ramezani; [email protected] Received 4 June 2019; Accepted 4 June 2019; Published 24 June 2019 Copyright © Arash Ramezani and Hendrik Rothe. is is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. In the article titled “Simulation-Based Early Prediction of Rocket, Artillery, and Mortar Trajectories and Real-Time Optimization for Counter-RAM Systems” [], there was an error in Section ., where the fourth and fih paragraphs, “e air drag coefficient for instance depends on the critical velocity ratio, pictured in Figure . Since the drag coefficient does not vary in a simple manner with Mach number, this makes the analytic solutions inaccurate and difficult to accomplish.” and “One can see from this figure that there is no simple analytic solution to this variation. With computer power nowadays, we usually solve or approximate the exact solutions numerically, doing the quadratures by breaking the area under the curve into quadrilaterals and summing the areas. In general, there are three forms of the drag coefficient:”, respectively, should be updated to the following: Fourth paragraph: “e air drag coefficient for instance depends on the critical velocity ratio, pictured in Figure . Due to Carlucci and Jacobson [19], these analytic solutions are hard to achieve and prone to error, because the drag coefficient does not differ in a straightforward way with Mach number.” Fih paragraph: “It is obvious that there is no simple analytical solution for these variants. With modern computer systems, the exact solutions are solved numerically, doing the quadratures by breaking the area under the curve into quadri- laterals and summing the areas. According to Carlucci and Jacobson [19], there are three forms of the drag coefficient:” References [] A. Ramezani and H. Rothe, “Simulation-based early prediction of rocket, artillery, and mortar trajectories and real-time opti- mization for counter-ram systems,” Mathematical Problems in Engineering, vol. , Article ID , pages, . Hindawi Mathematical Problems in Engineering Volume 2019, Article ID 6716290, 1 page https://doi.org/10.1155/2019/6716290

Corrigendum to Simulation-Based Early Prediction of Rocket, Artillery… · 2019. 7. 30. · Rocket, Artillery, and Mortar Trajectories and Real-Time OptimizationforCounter-RAMSystems”[],therewasan

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Page 1: Corrigendum to Simulation-Based Early Prediction of Rocket, Artillery… · 2019. 7. 30. · Rocket, Artillery, and Mortar Trajectories and Real-Time OptimizationforCounter-RAMSystems”[],therewasan

CorrigendumCorrigendum to (Simulation-Based Early Prediction of Rocket,Artillery, and Mortar Trajectories and Real-Time Optimizationfor Counter-RAM Systems)

Arash Ramezani and Hendrik Rothe

Helmut-Schmidt-University/University of the Federal Armed Forces Hamburg, Institute of Automation Technology,Chair of Measurement and Information Technology, Holstenhofweg 85, 22043 Hamburg, Germany

Correspondence should be addressed to Arash Ramezani; [email protected]

Received 4 June 2019; Accepted 4 June 2019; Published 24 June 2019

Copyright © 2019 Arash Ramezani and Hendrik Rothe. �is is an open access article distributed under the Creative CommonsAttribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work isproperly cited.

In the article titled “Simulation-Based Early Prediction ofRocket, Artillery, and Mortar Trajectories and Real-TimeOptimization for Counter-RAM Systems” [1], there was anerror in Section 2.1, where the fourth and fih paragraphs,“�e air drag coefficient 𝐶 𝑑 for instance depends on thecritical velocity ratio, pictured in Figure 1. Since the dragcoefficient does not vary in a simple manner with Machnumber, this makes the analytic solutions inaccurate anddifficult to accomplish.” and “One can see from this figurethat there is no simple analytic solution to this variation.Withcomputer power nowadays, we usually solve or approximatethe exact solutions numerically, doing the quadratures bybreaking the area under the curve into quadrilaterals andsumming the areas. In general, there are three forms ofthe drag coefficient:”, respectively, should be updated to thefollowing:

Fourth paragraph: “�e air drag coefficient 𝐶 𝑑 forinstance depends on the critical velocity ratio, pictured inFigure 1. Due to Carlucci and Jacobson [19], these analyticsolutions are hard to achieve and prone to error, because thedrag coefficient does not differ in a straightforward way withMach number.”

Fih paragraph: “It is obvious that there is no simpleanalytical solution for these variants.Withmodern computersystems, the exact solutions are solved numerically, doing thequadratures by breaking the area under the curve into quadri-laterals and summing the areas. According to Carlucci andJacobson [19], there are three forms of the drag coefficient:”

References

[1] A. Ramezani and H. Rothe, “Simulation-based early predictionof rocket, artillery, and mortar trajectories and real-time opti-mization for counter-ram systems,” Mathematical Problems inEngineering, vol. 2017, Article ID 8157319, 8 pages, 2017.

HindawiMathematical Problems in EngineeringVolume 2019, Article ID 6716290, 1 pagehttps://doi.org/10.1155/2019/6716290

Page 2: Corrigendum to Simulation-Based Early Prediction of Rocket, Artillery… · 2019. 7. 30. · Rocket, Artillery, and Mortar Trajectories and Real-Time OptimizationforCounter-RAMSystems”[],therewasan

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