Python Programming | Trajectory Simulation Report

Added on - 18 Feb 2020

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Table of Contents1.Introduction.................................................................................................................................22.Methods........................................................................................................................................23.Results..........................................................................................................................................24.Discussion.....................................................................................................................................65.Conclusion...................................................................................................................................61.IntroductionThe study is undertaken to simulate the descent trajectory of a recreational skydiver. Pythoncode needs to be created for the simulation of skydiver’s jump, based on some given conditions.The investigation will be made on how the trajectory is affected by various parameters.Theresearch question are provided with solution and screenshots generated. The purpose of the research1
is to show how much the trajectry of a skydriver is getting affected when numerous elements areprovided.2.MethodsThe code is done in Spyder. The generated outcome in the code of python (Hetland, 2010). thestudy is done and technical specifications include Spyder. the standard methods for the simulationof the descent trajectory of a recreational skydiver is used (Lutz, n.d.). The taks are doneaccordingly. all the techniques for the simulation of the trajectory is used in python code. theneeded modifications are made in the standard techniques. 5 related samples were taken and usedfor the simulation (Hammond & Robinson, 2000).SimulationMany areas of the simulation domain are different if just a single slice of the simulation domainapproximately a small particle trajectory. The different regions also behave different with respect tothe trajectory calculation it is used to calculate the trajectory at once and it copy to the otherdifferent regions. This type of method will be interpreting as calculating one Dimensionalsimulation and distribution them over a greater Dimensional simulation domain as possible("Skydiving", 2017).Trajectory-Simulation ModelThe overall velocity of skydiver in a horizontal and vertical plane was basically divided intoheight dependent, horizontally homogeneous defines the horizontal velocity and also fluctuatingwith turbulent velocities ("skydiving | sport", 2017). Considering the skydiver position and thevelocity association called as Makov process, the following equation are the langevin model for askydiver and velocity. Equation (1) as follows.The probability Density of skydiver is p(x, z, U, w, t) that the fluid element “occupies” agiven location in a phase space. It go forward to deterministically, and for the specific model (1)selected here is governed through the Fokker Planck calculation:2
Equation (2)The following are the solution of the equation 2.Equation (3)Equation (4)The following equation is the sample solution of the equation 3 which should met the condition ofthe equation 4.3.ResultsThe simulation for the descent trajectory of a skydiver is generated using Spyder. ThePython code is attached in the implementation part. The simulation for the skydiver's jump is basedon the provided conditions. The code generated in python.Task 3The free body diagrams showing the forces acting on the skydiver during the jump (McNeil,2010).It consist of a simplified form of the bodyI.The forces and moments are showed by the free body diagram.II.The forces shown as direct arrows pointing in the way and they reflects on the body3
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