基于Matlab的抛射体运动轨迹分析  

Projectile Motion Trajectory Analysis Based on Matlab

作　　者：高彩云[1] 

机构地区：[1]山西大同大学物理与电子科学学院,山西大同037009

出　　处：《山西大同大学学报（自然科学版）》2015年第5期28-30,共3页Journal of Shanxi Datong University(Natural Science Edition)

摘　　要：用解析法推导出抛射体在受空气阻力影响下运动的轨道方程,以及射程最大时抛射角所满足的方程,借助Matlab的数值计算功能编制程序,模拟出在不同的阻力系数、抛射体质量、初速度和抛射角度下的轨道曲线。结果发现阻力系数对轨道的对称性影响最大,而射程和射高会随着阻力系数减小、抛射体质量增大、抛射速度增大以及抛射角度的增大而增大,与不计空气阻力时不同,抛射角在略小于45°时射程是最大的。Projectile is deduced by the analytic method under the influence of air resistance was in orbit equations of motion, and satisfy the equation of the maximum when the mass ejection angle range, with the aid of numerical calculation function of Matlab programming, simulation in different resistance coefficient, quality of projectile, initial velocity and mass ejection angle under the rail curve. It was found that drag coefficient of orbit symmetry, and the range and high will drag coefficient decrease, increase the quality of projectile, projectile velocity increase and projectile Angle increases, and without air resistance, mass ejection angle at slightly less than 45 ° range is the biggest of all.

关 键 词：抛射体 阻力系数 射程 抛射角 MATLAB 

分 类 号：O411.3[理学—理论物理]