Investigation of a Sniper Fire-Mission Execution Model with Restrictions on Collateral Injury to Bystanders

Keywords: Fire Mission, Shooting Effectiveness, Security Forces, Probability of Target Engagement, Bystanders, Sniper

Abstract

Purpose. To analyse a sniper fire-mission execution model for security forces under the constraint of preventing collateral injury to bystanders and to determine how key shooting parameters influence the probability of successful mission accomplishment.

Method. The study employs mathematical modelling, parametric analysis, numerical calculations, comparative analysis, and graphical interpretation of the obtained relationships. The effects of shooting accuracy, target distance, aiming point displacement, and the number of shots on mission effectiveness are investigated.

Findings. The aiming point position and the number of shots were identified as the most controllable factors affecting mission effectiveness. Improved shooting accuracy and reduced engagement distance increase the probability of successful mission accomplishment. An asymmetric effect of aiming point displacement was revealed, and an optimal number of shots that maximises the overall probability of mission success was determined.

Theoretical implications. The study advances mathematical models for evaluating sniper fire-mission effectiveness by incorporating the criterion of bystander safety into the assessment framework.

Practical implications. The findings can be applied to sniper training, aiming point selection, determination of the optimal number of shots, and the justification of technical requirements for sniper weapon systems.

Originality/value. The study presents a comprehensive analysis of a fire-mission execution model that simultaneously accounts for target engagement effectiveness and bystander safety.

Limitations/Future research. The model is based on predefined tactical conditions and does not account for the dynamics of real combat environments. Future research should focus on experimental validation of the model and its extension to incorporate additional operational risk factors.

Paper type. Theoretical article.

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References

Plaster, J. (2007). The ultimate sniper. Paladin Press.

Bilenko, O. I. (2013). Taktyko-tekhnichni kharakterystyky striletskoi zbroi dlia syl okhorony pravoporiadku, yaki pidliahaiut rehlamentatsii [Tactical and technical characteristics of small arms for law enforcement agencies subject to regulation]. Skhidno-Yevropeiskyi zhurnal peredovykh tekhnolohii (Eastern-European Journal of Enterprise Technologies), 2(10(62)), 28–32. https://doi.org/10.15587/1729-4061.2013.12749

Verkhovna Rada Ukrainy. (2014, March 13). Pro Natsionalnu hvardiiu Ukrainy: Zakon Ukrainy No. 876-VII [On the National Guard of Ukraine: Law of Ukraine No. 876-VII]. https://zakon.rada.gov.ua/laws/show/876-18

Corriveau, D., Rabbath, C. A., & Goudreau, A. (2019). Effect of the firing position on aiming error and probability of hit. Defence Technology, 15(5), 713–720. https://doi.org/10.1016/j.dt.2019.08.008

Vickers J. N., Lewinski W. Performing under Pressure: Gaze Control, Decision Making and Shooting Performance of Elite and Rookie Police Officers. Human Movement Science. 2012. Vol. 31, No. 1. P. 101–117. DOI: https://doi.org/10.1016/j.humov.2011.04.004.

Nieuwenhuys A., Oudejans R. R. D. Effects of Anxiety on Handgun Shooting Behavior of Police Officers: A Pilot Study. Anxiety, Stress, & Coping. 2010. Vol. 23, No. 2. P. 225–233. DOI: https://doi.org/10.1080/10615800902977494.

Donner C. M., Popovich N. Hitting (or Missing) the Mark: An Examination of Police Shooting Accuracy in Officer-Involved Shooting Incidents. Policing: An International Journal. 2019. Vol. 42, No. 3. P. 474–489. DOI: https://doi.org/10.1108/PIJPSM-05-2018-0060.

Biggs A. T., Hamilton J. A., Thompson A. G. et al. Not According to Plan: Cognitive Failures in Marksmanship Due to Effects of Expertise, Unknown Environments, and the Likelihood of Shooting Unintended Targets. Applied Ergonomics. 2023. Vol. 112. Art. 104058. DOI: https://doi.org/10.1016/j.apergo.2023.104058.

Bilenko O. I., Kyrychenko O. O. Ways to Improve the Safety of Small-Arms Employment by Law Enforcement Forces. Eastern-European Journal of Enterprise Technologies. 2014. No. 3/2 (68). P. 35–39. DOI: https://doi.org/10.15587/1729-4061.2014.23117.

Bilenko O. I., Kyrychenko O. O. Method for Determining Rational Ballistic Characteristics of a Small-Arms Model for Security Forces to Improve the Safety of Its Employment. Collection of Scientific Works of the National Academy of the National Guard of Ukraine. 2018. No. 2 (32). P. 17–27. DOI: https://doi.org/10.33405/2409-7470/2018/2/32/155168.

Bilenko O. I. Substantiation of Rational Values of the Technical Characteristics of Limited-Range Kinetic Weapons for Security Forces. Weapon Systems and Military Equipment. 2015. No. 4 (44). P. 10–14. URL: https://www.base-search.net/Record/5fa32d1dada036971b85f08ef2e881153ded3fb11352601c302a1baf8d2a836c.

Bilenko O. I., Pashchenko V. V. Improving the Stability of the Muzzle Velocity of Projectiles of Non-Lethal Kinetic Weapons. Collection of Scientific Works of the Academy of Internal Troops of the Ministry of Internal Affairs of Ukraine. 2010. Issue 2. P. 5–10. DOI: https://doi.org/10.33405/2409-7470/2010/2/16/150687.

Bilenko O. I., Bielashov Yu. O. Ways to Improve the Effectiveness of Fire Missions Performed by a Law Enforcement Forces Sniper. Collection of Scientific Works of the Academy of Internal Troops of the Ministry of Internal Affairs of Ukraine. 2013. Issue 2 (22). P. 12–15. DOI: https://doi.org/10.33405/2409-7470/2013/2/22/141153.

Bilenko O. I. Improving the Effectiveness of Sniper Fire Missions Performed by Security Forces by Determining Rational Characteristics of an Optical Sight. Weapon Systems and Military Equipment. 2015. No. 1 (41). P. 7–11. URL: https://www.base-search.net/Record/2aefe10513c72fc0f33629cad662433a5edde174e69c2a4787c39edfa804f13d.

Bilenko O. I., Bielashov Yu. O. Increasing the Responsiveness of Sniper Fire Missions Performed by Security Forces by Reducing the Bullet Departure Angle. Weapon Systems and Military Equipment. 2015. No. 3 (43). P. 16–21. URL: https://www.base-search.net/Record/7c195e856e8ee89a189c80bcd70663a519aa4b35ced9407fead2980e88e84c98.

Bilenko O. I., Pershyna K. V. Influence of the Characteristics of the Human–Machine System on the Effectiveness of Fire Missions Performed by Security Forces Personnel. Bulletin of the National Technical University ‘KhPI’: Collection of Scientific Papers. Series: Mechanical and Technological Systems and Complexes. 2016. No. 49 (1221). P. 80–84. URL: https://repository.kpi.kharkov.ua/items/7ce70b1b-e191-4f4f-a964-7ab0a76a4250.

Bilenko O. I., Asanov D. S. Model for Executing a Fire Mission by a Security Forces Sniper with Restrictions on Collateral Injury to Bystanders. Honor and Law. 2026. No. 1 (96). P. 36–42. https://doi.org/10.33405/2078-7480/2026/96/1(96)/363022.

Bilenko O. I., Martynov I. V. Method for Forming Requirements for Gunshot-Noise Characteristics to Ensure the Covert Performance of Fire Missions by Security Forces. Honor and Law. 2022. No. 3 (82). P. 91–98. https://doi.org/10.33405/2078-7480/2022/3/82/267261.

Bilenko O. I. Determination of Gunshot-Sound Parameters That Affect the Performance of Specific Fire Missions by Security Forces and Are Subject to Regulation. Weapon Systems and Military Equipment. 2014. No. 1 (37). P. 5–11. URL: https://www.base-search.net/Record/0f15178344e0261c99a744c17bb4b4eda01df53fe85b6499838f7f117fd51d86.

Bilenko O. I., Pistriak P. V., Martynov I. V. Study of the State of the Scientific and Methodological Apparatus for Forming Requirements for Small-Arms Gunshot-Noise Characteristics. Honor and Law. 2021. No. 3 (78). P. 45–51. DOI: https://doi.org/10.33405/2078-7480/2021/3/78/244549.

Bilenko O. I. Formation of Requirements for the Dispersion of Muzzle Velocities of Kinetic-Weapon Projectiles. Collection of Scientific Works of the Academy of Internal Troops of the Ministry of Internal Affairs of Ukraine. Kharkiv: Academy of Internal Troops of the Ministry of Internal Affairs of Ukraine, 2013. Issue 1 (21). P. 16–20. https://doi.org/10.33405/2409-7470/2013/1/21/141194.

Bilenko O. I., Afanasiev V. V. Influence of Loading Parameters on Bullet Muzzle Velocity. Bulletin of the National Technical University ‘KhPI’. Kharkiv: NTU ‘KhPI’, 2007. No. 11. P. 33–37.

Bilenko O. I. Method for Forming Requirements for the Ballistic Coefficient of a Kinetic-Weapon Projectile. Eastern-European Journal of Enterprise Technologies. 2013. Vol. 6, No. 3 (66). P. 46–49. DOI: https://doi.org/10.15587/1729-4061.2013.19156.

Published
2026-06-30
How to Cite
BіlenkoO., & Asanov, D. (2026). Investigation of a Sniper Fire-Mission Execution Model with Restrictions on Collateral Injury to Bystanders. Social Development and Security, 16(3), 153-166. https://doi.org/10.33445/sds.2026.16.3.11
Section
Military Management