J2.rar_J2摄动_closely3cm_六根数 轨道_地球摄动_摄动 J2

function [sys,x0,str,ts]= caculate_orbit(t,X,u,flag) %SFUNTMPL General MATLAB S-Function Template % With MATLAB S-functions, you can define you own ordinary differential % equations (ODEs), discrete system equations, and/or just about % any type of algorithm to be used within a Simulink block diagram. % % The general form of an MATLAB S-function syntax is: % [SYS,X0,STR,TS,SIMSTATECOMPLIANCE] = SFUNC(T,X,U,FLAG,P1,...,Pn) % % What is returned by SFUNC at a given point in time, T, depends on the % value of the FLAG, the current state vector, X, and the current % input vector, U. % % FLAG RESULT DESCRIPTION % ----- ------ -------------------------------------------- % 0 [SIZES,X0,STR,TS] Initialization, return system sizes in SYS, % initial state in X0, state ordering strings % in STR, and sample times in TS. % 1 DX Return continuous state derivatives in SYS. % 2 DS Update discrete states SYS = X(n+1) % 3 Y Return outputs in SYS. % 4 TNEXT Return next time hit for variable step sample % time in SYS. % 5 Reserved for future (root finding). % 9 [] Termination, perform any cleanup SYS=[]. % % % The state vectors, X and X0 consists of continuous states followed % by discrete states. % % Optional parameters, P1,...,Pn can be provided to the S-function and % used during any FLAG operation. % % When SFUNC is called with FLAG = 0, the following information % should be returned: % % SYS(1) = Number of continuous states. % SYS(2) = Number of discrete states. % SYS(3) = Number of outputs. % SYS(4) = Number of inputs. % Any of the first four elements in SYS can be specified % as -1 indicating that they are dynamically sized. The % actual length for all other flags will be equal to the % length of the input, U. % SYS(5) = Reserved for root finding. Must be zero. % SYS(6) = Direct feedthrough flag (1=yes, 0=no). The s-function % has direct feedthrough if U is used during the FLAG=3 % call. Setting this to 0 is akin to making a promise that % U will not be used during FLAG=3. If you break the promise % then unpredictable results will occur. % SYS(7) = Number of sample times. This is the number of rows in TS. % % % X0 = Initial state conditions or [] if no states. % % STR = State ordering strings which is generally specified as []. % % TS = An m-by-2 matrix containing the sample time % (period, offset) information. Where m = number of sample % times. The ordering of the sample times must be: % % TS = [0 0, : Continuous sample time. % 0 1, : Continuous, but fixed in minor step % sample time. % PERIOD OFFSET, : Discrete sample time where % PERIOD > 0 & OFFSET < PERIOD. % -2 0]; : Variable step discrete sample time % where FLAG=4 is used to get time of % next hit. % % There can be more than one sample time providing % they are ordered such that they are monotonically % increasing. Only the needed sample times should be % specified in TS. When specifying more than one % sample time, you must check for sample hits explicitly by % seeing if % abs(round((T-OFFSET)/PERIOD) - (T-OFFSET)/PERIOD) % is within a specified tolerance, generally 1e-8. This % tolerance is dependent upon your model's sampling times % and simulation time. % % You can also specify that the sample time of the S-function % is inherited from the driving block. For functions which % change during minor steps, this is done by % specifying SYS(7) = 1 and TS = [-1 0]. For functions which % are held during minor steps, this is done by specifying % SYS(7) = 1 and TS = [-1 1]. % % SIMSTATECOMPLIANCE = Specifices how to handle this block when saving and % restoring the complete simulation state of the % model. The allowed values are: 'DefaultSimState', % 'HasNoSimState' or 'DisallowSimState'. If this value % is not speficified, then the block's compliance with % simState feature is set to 'UknownSimState'. % Copyright 1990-2010 The MathWorks, Inc. % % _____________________________________self_____________________________________________________________________________ % u=[M,Td] M is control torque Td is interference torque % x is absolute angular velocity % x=[w1 w2 w3] % w1_mel w2_mel w3_mel the angular velocity at a previous moment % ref 周黎妮, 等：基于 Matlab/Simulink 的航天器姿态动力学与控制仿真框架 % input M Td % output w % persistent a1 ex1 ey1 i1 Omega1 omega1 mu1 %半长轴 偏心率 轨道倾角 升交点赤经 近地点幅角 真近点角 % The following outlines the general structure of an S-function. % switch flag, %%%%%%%%%%%%%%%%%% % Initialization % %%%%%%%%%%%%%%%%%% case 0, [sys,x0,str,ts,simStateCompliance]=mdlInitializeSizes; %%%%%%%%%%%%%%% % Derivatives % %%%%%%%%%%%%%%% case 1, sys=mdlDerivatives(t,X,u); %%%%%%%%%% % Update % %%%%%%%%%% case 2, sys=mdlUpdate(t,X,u); %%%%%%%%%%% % Outputs % %%%%%%%%%%% case 3, sys=mdlOutputs(t,X,u); %%%%%%%%%%%%%%%%%%%%%%% % GetTimeOfNextVarHit % %%%%%%%%%%%%%%%%%%%%%%% case 4, sys=mdlGetTimeOfNextVarHit(t,X,u); %%%%%%%%%%%%% % Terminate % %%%%%%%%%%%%% case 9, sys=mdlTerminate(t,X,u); %%%%%%%%%%%%%%%%%%%% % Unexpected flags % %%%%%%%%%%%%%%%%%%%% otherwise DAStudio.error('Simulink:blocks:unhandledFlag', num2str(flag)); end % end sfuntmpl % %============================================================================= % mdlInitializeSizes % Return the sizes, initial conditions, and sample times for the S-function. %============================================================================= % function [sys,x0,str,ts,simStateCompliance]=mdlInitializeSizes persistent a1 ex1 ey1 i1 Omega1 omega1 mu1 % % call simsizes for a sizes structure, fill it in and convert it to a % sizes array. % % Note that in this example, the values are hard coded. This is not a % recommended practice as the characteristics of the block are typically % defined by the S-function parameters. % sizes = simsizes; sizes.NumContStates = 7; sizes.NumDiscStates = 0; sizes.NumOutputs = 7; sizes.NumInputs =0; sizes.DirFeedthrough = 0; sizes.NumSampleTimes = 1; % at least one sample time is needed sys = simsizes(sizes); % % initialize the initial conditions % a0 = 6878.14; Omega0 =0*pi/180; omega0 = 0.2*pi/180; e0 = 0.01*pi/180; ex0 = e0*cos(omega0); ey0 = e0 *sin(omega0); i0 = 28.5*pi/180; f0 = 0.2*pi/180; cosE0 = cos(cos(f0) + e0 )/(1 + e0 *cos(f0)); E0 = acos(cosE0); M0 = E0 - e0 * sin(E0); mu0 = omega0 + M0; x0 = [a0;Omega0;ex0;ey0;i0;omega0;mu0]; %半长轴 升交点赤经 偏心率ex ey 轨道倾角 近地点幅角 真近点角 % % str is always an empty matrix % str = []; % % initialize the array of sample times % ts = [0 0]; % Specify the block simStateCompliance. The allowed values a