跟踪物体空间运动轨迹

Research on Object Space Trajectory tracking Optimization SimulationLI Run ZHAO Zhi-weiLanzhou Petrochemical College of Vocational Technology, Lanzhou 730060,ChinaABSTRACT: The paper researches the space objects trajectory modeling optimizatio.The traditional modeling methods need massive data collection ，which influences modeling effect.In order to better track and store the trajectory of moving objects ，then optimize trajectory modeling results ，the paper proposes an optimization algorithm based on the moving object trajectory description.by the spatial migration object level and vertical motion path curve, it infers the motion path curve of random position , and loads the error to track themaneuvering target, thus it can be obtained the maneuvering target of the filter data curve, and it then adopts the Kaerman wave filter to be in progress to motion target trajectory curve level and smooth.The experimental results show that this method can effectively describe the trajectory of moving objects and obtain the expected results ． KEYWORDS: Trajectory modeling; Optimal trajectory; random error; Smiulation; Tracking Algorithm0 IntroductionMoving object trajectory model is a reaction of moving object trajectories through a certain method to obtain the correct description,which refers to a variety of relatively small finite spatial moving objects, such as a running vehicle, aircraft, ships, people, the launch of rocket and missile, even in the working state of the computer, mobile phone and other moving object ect [1-2].In order to better track and store the moving object’s trajectories ,then solve the problems existing in the traditional method, this paper presents a moving object in the space of the horizontal and vertical motion description, and then derives spatial moving objects trajectory curve.but in order to smooth moving target trajectory curve with Calman filter, it must load random error to track moving targets, and then gain the target's filtering data curves. The simulation results show that this method has a certain rationality and feasibility, and it caneffectively predict the space object trajectory ,and can realize simulation modeling of the moving objects trajectory [3-4].1 Moving object model design and trajectory modeling1.1 Moving objects spatio-temporal modelObject space motion model vividly describes the object motion geometric features. As a result of movement locus of object in three-dimensional space coordinates, so it is difficulty. In order to solve this problem, motion models need to add some dynamic characteristics, including the movement of the object position, moving speed, the region of space objects, the slant distance m R , angle of elevationm ε (angle of elevation or depression of objects) and azimuth anglem β and something else. through the model well describe the true motion state by useingthe dynamic characteristic. in the moving object model diagram, x, y, Z axis represents three-dimensional space, T axis represents time, the whole model regional shows moving object motion when needed to study the range [5],As shown in Figure 1.fig.1 Moving object model diagram1.2 moving objects trajectory modelingUnder the assumption that the known movable object motion based on movement characteristics of initial point, in order to describe the moving object in the moving process of the moment of the motion characteristic and location information, and track the moving object trajectory, it must give the three coordinate of real-time moving object , that is the slant distance m R , angle of elevationm ε (angle of elevation or depression of objects) and azimuth angle m βand something else, it can accurately estimate the object moving information Through these information.Accordingly, the moving objects in 3-D space trajectory model is established as follows [6]:1.2.1 Object for the horizontal linear movementThe initial parameter is azimuth angle mβ（mil ），angle of elevation m ε(mil)，slant distance m R (Km)，speed V （Km/s ），vertical path P （Km) ,As shown in Figure 2.Moving object velocity and angular velocity is as:Because ∙=i d i V R εcos ， i d V u θcos ⋅=， i i i i ii R P R D P d d NM εεθcos )cos (cos 2222-=-==，Therefore i i V R θεcos cos ⨯=∙； That is i i i i i i i i i R P R V R P R V R /)cos ()cos /()cos (cos 2222-*=-**=∙εεεεso i i R ctg R /εε∙∙=； 111cos sin +++∙⋅==i i i i pR V D V εθβ。

fig.2 A horizontal straight line position of a moving object simulation1.2.2 Objects for the vertical linear movementObject for the vertical movement of the initial parameters except for horizontal moving parameters,it Also must give the rising movement of motor loadingN V and mobile time T V . angle of climb ∙γ. The object ’s vertical movement can be regarded as the vertical component and a horizontal component synthesis, So the object up or down moving distance, velocity and angular velocity should be used instead of horizontally moving γcos V V H =,as shown in Figure 3.fig.3 The vertical moving objects'ωγ=∙；1sin sin +=∙I H i V V R εγ ; 1/cos sin 1+∙+=i H i V R V i εγε。