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ov_mm4.ks
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////////////////////////////////////////////////////////////////////////////////
// OV MAJOR MODE 4 (LINEAR GUIDANCE ASCENT)
////////////////////////////////////////////////////////////////////////////////
// SPECIFIC GRAVITY CONSTANT FOR ASCENT BODY
GLOBAL MU IS CONSTANT:G * KERBIN:MASS.
GLOBAL G0 IS 9.80665.
// FIX DEFICIENCIES IN KOS MATH LIBRARY
FUNCTION RAD { PARAMETER X. RETURN CONSTANT:PI*X/180.0. }
FUNCTION DEG { PARAMETER X. RETURN 180.0*X/CONSTANT:PI. }
FUNCTION ACOS { PARAMETER X. RETURN RAD(ARCCOS(MAX(-1, MIN(1, X )) )). }
FUNCTION EXP { PARAMETER X. RETURN CONSTANT:E^X. }
FUNCTION POSITIVE_NON_ZERO { PARAMETER X. RETURN MAX(0.1, X). }
////////////////////////////////////////////////////////////////////////////////
// GUIDANCE MODE (1: SINGLE STAGE, 2: TWO-STAGE)
GLOBAL GUIDANCE_MODE IS MM4_NUMBER_OF_STAGES.
// STAGES LIST
GLOBAL STAGES IS LIST().
STAGES:ADD(0). // NULL STAGE (0)
STAGES:ADD(LEXICON()). // STAGE 1
STAGES:ADD(LEXICON()). // STAGE 2
// PRE-CALCULATE SOME STAGE PARAMETERS
FUNCTION PRECALC_STAGE { PARAMETER S.
// EXHAUST VELOCITY (M/S)
S:ADD("REF_VE", G0*S["REF_ISP"]).
// FUEL FLOW (KG/SEC)
S:ADD("REF_FF", S["REF_F"]/(G0*S["REF_ISP"])).
// STAGE BURN TIME (SECONDS)
//S:ADD("REF_BURNTIME", (S["FUEL"]/S["REF_FF"])*1.01).
// SET ALL GUIDANCE VALUES TO REFERENCE ONES (FOR LACK OF BETTER ESTIMATES)
S:ADD("F", S["REF_F"]).
S:ADD("VE", S["REF_VE"]).
//S:ADD("BURNTIME", S["REF_BURNTIME"]).
// GUIDANCE VARIABLES
S:ADD("A0", 0.1).
S:ADD("TAU", 0.1).
S:ADD("T", 0.1).
}
// STAGE 1 SETTINGS
STAGES[1]:ADD("A0CONST", MM4_STAGE1_A0CONST). // CONSTANT ACCELERATION
STAGES[1]:ADD("REF_F", MM4_STAGE1_REF_F*MM4_STAGE1_POWER_SETTING). // ENGINE REFERENCE THRUST
STAGES[1]:ADD("REF_ISP", MM4_STAGE1_REF_ISP). // ENGINE REFERENCE ISP
PRECALC_STAGE(STAGES[1]).
GLOBAL STAGE1 IS STAGES[1].
// STAGE 2 SETTINGS
STAGES[2]:ADD("A0CONST", MM4_STAGE2_A0CONST). // CONSTANT ACCELERATION
STAGES[2]:ADD("REF_F", MM4_STAGE2_REF_F*MM4_STAGE2_POWER_SETTING). // ENGINE THRUST
STAGES[2]:ADD("REF_ISP", MM4_STAGE2_REF_ISP). // ENGINE ISP
PRECALC_STAGE(STAGES[2]).
GLOBAL STAGE2 IS STAGES[2].
// TARGET PARAMETERS
// TARGET PERIAPSIS
GLOBAL TARGET_PE IS KERBIN:RADIUS + MM4_TARGET_AP.
// TARGET APOAPSIS
GLOBAL TARGET_AP IS KERBIN:RADIUS + MM4_TARGET_PE.
// TARGET TRUE ANOMALY (IN DEGREES)
GLOBAL TARGET_TA IS MM4_TARGET_TA.
// == DERIVED PARAMETERS ==
GLOBAL TARGET_E IS (TARGET_AP - TARGET_PE) / (TARGET_AP + TARGET_PE).
GLOBAL TARGET_A IS TARGET_AP/(1+TARGET_E).
GLOBAL TARGET_P IS 2*TARGET_AP*TARGET_PE/(TARGET_AP+TARGET_PE).
GLOBAL TARGET_H IS (MU*TARGET_P)^0.5.
GLOBAL TARGET_V IS ((MU/TARGET_P)^0.5)*TARGET_E*SIN(TARGET_TA).
GLOBAL TARGET_R IS TARGET_P/(1+TARGET_E*COS(TARGET_TA)).
////////////////////////////////////////////////////////////////////////////////
// STATE VARIABLES
GLOBAL OMEGA IS 0. // ANGULAR VELOCITY IN INERTIAL COORDINATES
GLOBAL V0_0 IS 0. // RADIAL VELOCITY OF THE CURRENT STAGE
GLOBAL R0_0 IS 0. // RADIAL POSITION OF THE CURRENT STAGE
// GUIDANCE VARIABLES
GLOBAL ON_TRAJECTORY IS FALSE. // IS ROCKET ON TRAJECTORY YET
GLOBAL CUTOFF_TIME IS 0. // COMPUTED TIME TO FINAL CUTOFF
GLOBAL STAGE_TIME IS 0. // COMPUTED TIME TO STAGE CUTOFF
//GLOBAL TBIAS IS 0. // TIME OF LAUNCH
GLOBAL TAB IS 0. // TIME OF A/B STEERING CONSTANTS
GLOBAL A IS 0. // CURRENT VALUE OF A STEERING CONSTANT
GLOBAL B IS 0. // CURRENT VALUE OF B STEERING CONSTANT
GLOBAL A_1 IS 0. // LAST ESTIMATE FOR A1 STEERING CONSTANT
GLOBAL B_1 IS 0. // LAST ESTIMATE FOR B1 STEERING CONSTANT
//GLOBAL PITCH IS 0. // PITCH COMPUTED FIXME
////////////////////////////////////////////////////////////////////////////////
// THRUST INTEGRALS
FUNCTION A0 { PARAMETER S,T.
IF S["A0CONST"] > 0 { RETURN S["A0CONST"].
} ELSE { RETURN S["A0"]/(1 - T/S["TAU"]).
}
}
FUNCTION B0 { PARAMETER S,T.
IF S["A0CONST"] > 0 { RETURN S["A0CONST"] * T.
} ELSE { RETURN -S["VE"] * LN(MAX(1 - T/S["TAU"], 0.01)).
}
}
FUNCTION B1 { PARAMETER S,T.
IF S["A0CONST"] > 0 { RETURN S["A0CONST"] * (T^2)/2.
} ELSE { RETURN B0(S,T)*S["TAU"] - S["VE"]*T.
}
}
FUNCTION C0 { PARAMETER S,T.
IF S["A0CONST"] > 0 { RETURN S["A0CONST"] * (T^2)/2.
} ELSE { RETURN B0(S,T)*T - B1(S,T).
}
}
FUNCTION C1 { PARAMETER S,T.
IF S["A0CONST"] > 0 { RETURN S["A0CONST"] * (T^3)/6.
} ELSE { RETURN C0(S,T)*S["TAU"] - S["VE"]*(T^2)/2.
}
}
// THRUST INTEGRALS (PER-STAGE)
FUNCTION A0_1 { PARAMETER T. RETURN A0(STAGE1,T). }
FUNCTION B0_1 { PARAMETER T. RETURN B0(STAGE1,T). }
FUNCTION B1_1 { PARAMETER T. RETURN B1(STAGE1,T). }
FUNCTION C0_1 { PARAMETER T. RETURN C0(STAGE1,T). }
FUNCTION C1_1 { PARAMETER T. RETURN C1(STAGE1,T). }
FUNCTION A0_2 { PARAMETER T. RETURN A0(STAGE2,T). }
FUNCTION B0_2 { PARAMETER T. RETURN B0(STAGE2,T). }
FUNCTION B1_2 { PARAMETER T. RETURN B1(STAGE2,T). }
FUNCTION C0_2 { PARAMETER T. RETURN C0(STAGE2,T). }
FUNCTION C1_2 { PARAMETER T. RETURN C1(STAGE2,T). }
// DISCONTINUITIES (FIXME: OPTIMIZE CALLS TO V0_2, R0_2)
FUNCTION dA { // dA = A2 - A1
LOCAL STAGE1_T IS STAGE1["T"].
LOCAL R IS POSITIVE_NON_ZERO( R0_2() ).
RETURN (MU/(R^2) - (OMEGA^2)*R) * (1/A0_1(STAGE1_T) - 1/A0_2(0)).
}
FUNCTION dB { // dB = B2 - B1
LOCAL STAGE1_T IS STAGE1["T"].
LOCAL STAGE1_VE IS STAGE1["VE"].
LOCAL STAGE2_VE IS STAGE2["VE"].
LOCAL V IS V0_2().
LOCAL R IS POSITIVE_NON_ZERO( R0_2() ).
RETURN -(MU/(R^2) - (OMEGA^2)*R) * ( 1/STAGE1_VE - 1/STAGE2_VE )
+((3*(OMEGA^2) - 2*MU/(R^3))*V) * (1/A0_1(STAGE1_T) - 1/A0_2(0)).
}
// RADIAL VELOCITY AT THE BEGINNING OF STAGE 2 BURN
FUNCTION V0_2 {
IF MINOR_MODE = 1 {
RETURN V0_0. // CURRENT STAGE 2 VELOCITY
} ELSE {
LOCAL STAGE1_T IS STAGE1["T"].
RETURN V0_0 + B0_1(STAGE1_T)*A_1 + B1_1(STAGE1_T)*B_1. // PREDICTED VELOCITY
}
}
// RADIAL POSITION AT THE BEGINNING OF STAGE 2 BURN
FUNCTION R0_2 {
IF MINOR_MODE = 1 {
RETURN R0_0. // CURRENT STAGE 2 POSITION
} ELSE {
LOCAL STAGE1_T IS STAGE1["T"].
RETURN R0_0 + V0_0*STAGE1_T + C0_1(STAGE1_T)*A_1 + C1_1(STAGE1_T)*B_1. // PREDICTED POSITION
}
}
////////////////////////////////////////////////////////////////////////////////
// SOLVE LINEAR GUIDANCE EQUATIONS FOR TWO-STAGE FLIGHT
FUNCTION LG_SOLVE_2STAGE {
LOCAL STAGE1_T IS STAGE1["T"].
LOCAL STAGE2_T IS STAGE2["T"].
// V(T) = UV*A1 + VV*B1 + WV
LOCAL UV IS B0_1(STAGE1_T) + B0_2(STAGE2_T).
LOCAL VV IS B1_1(STAGE1_T) +
B1_2(STAGE2_T) + B0_2(STAGE2_T)*STAGE1_T.
LOCAL WV IS B0_2(STAGE2_T)*dA() + B1_2(STAGE2_T)*dB() +
V0_0.
// R(T) = UR*A1 + VR*B1 + WR
LOCAL UR IS C0_1(STAGE1_T) +
C0_2(STAGE2_T) + B0_1(STAGE1_T)*STAGE2_T.
LOCAL VR IS C1_1(STAGE1_T) +
C1_2(STAGE2_T) + C0_2(STAGE2_T)*STAGE1_T + B1_1(STAGE1_T)*STAGE2_T.
LOCAL WR IS C0_2(STAGE2_T)*dA() + C1_2(STAGE2_T)*dB() +
R0_0 + V0_0*(STAGE1_T + STAGE2_T).
// SOLVE LINEAR EQUATION
LOCAL F1 IS TARGET_V - WV.
LOCAL F2 IS TARGET_R - WR.
LOCAL DET_D IS UV*VR-VV*UR.
LOCAL DET_A IS VR*F1-F2*VV.
LOCAL DET_B IS UV*F2-F1*UR.
// GET STEERING CONSTANTS
SET A_1 TO DET_A / DET_D.
SET B_1 TO DET_B / DET_D.
}
// SOLVE EQUATIONS FOR ONE-STAGE FLIGHT
FUNCTION LG_SOLVE_1STAGE {
LOCAL STAGE1_T IS STAGE1["T"].
// V(T) = UV*A1 + VV*B1 + WV
LOCAL UV IS B0_1(STAGE1_T).
LOCAL VV IS B1_1(STAGE1_T).
LOCAL WV IS V0_0.
// R(T) = UR*A1 + VR*B1 + WR
LOCAL UR IS C0_1(STAGE1_T).
LOCAL VR IS C1_1(STAGE1_T).
LOCAL WR IS R0_0 + V0_0*STAGE1_T.
// SOLVE LINEAR EQUATION
LOCAL F1 IS TARGET_V - WV.
LOCAL F2 IS TARGET_R - WR.
LOCAL DET_D IS UV*VR-VV*UR.
LOCAL DET_A IS VR*F1-F2*VV.
LOCAL DET_B IS UV*F2-F1*UR.
// GET STEERING CONSTANTS
SET A_1 TO DET_A / DET_D.
SET B_1 TO DET_B / DET_D.
}
// SET STAGE A0 AND TAU BASED ON CURRENT MASS
FUNCTION LG_SET_A0_TAU { PARAMETER S.
IF S["A0CONST"] > 0 {
SET S["A0"] TO S["A0CONST"].
SET S["TAU"] TO S["T"].
} ELSE {
SET S["A0"] TO S["F"] / (SHIP:MASS*1000).
SET S["TAU"] TO S["VE"] / S["A0"].
}
}
// SET STAGE A0 AND TAU BASED ON CURRENT MASS MINUS DELTA
FUNCTION LG_SET_A0_TAU_MINUS_DELTA { PARAMETER S, DELTA_MASS.
IF S["A0CONST"] > 0 {
SET S["A0"] TO S["A0CONST"].
SET S["TAU"] TO S["T"].
} ELSE {
SET S["A0"] TO S["F"] / (SHIP:MASS*1000 - DELTA_MASS).
SET S["TAU"] TO S["VE"] / S["A0"].
}
}
// ESTIMATE STAGE CUTOFF TIME BY DELTA-V AND PREVIOUS STAGE TIME
FUNCTION LG_ESTIMATE_T_BY_DV { PARAMETER S, DV, T0.
IF S["A0CONST"] > 0 {
SET S["T"] TO DV/S["A0CONST"] + T0.
} ELSE {
SET S["T"] TO S["TAU"]*(1 - EXP(-DV/S["VE"])) + T0.
}
}
////////////////////////////////////////////////////////////////////////////////
//
// ENTER MAJOR MODE 4
//
FUNCTION MM4_ENTER {
// ENABLE THROTTLING AND STEERING
ENABLE_THROTTLE().
ENABLE_STEERING().
// RESET CURRENT STEERING TO INITIAL VALUES
SET CURRENT_STEERING TO HEADING(90, 90).
SET CURRENT_THROTTLE TO MM4_STAGE1_POWER_SETTING. //1.0.
GLOBAL MAX_THROTTLE TO 1.0.
GLOBAL PITCH_MAX TO 90.0.
// FIXME: READ CURRENT PITCH COMMAND FROM BODY ANGLES
GLOBAL PITCH_CMD TO PITCH_MAX.
// DETECT SHIPS ACCELERATION SENSOR
GLOBAL HAS_ACCELERATION_SENSOR TO FALSE.
GLOBAL ACCELERATION_SENSOR TO 0.
FOR PART IN SHIP:PARTS {
IF (PART:NAME = "sensorAccelerometer") {
SET HAS_ACCELERATION_SENSOR TO TRUE.
SET ACCELERATION_SENSOR TO PART:GETMODULE("ModuleEnviroSensor").
}
}
}
//
// READ CURRENT VALUE OF ACCELERATION
//
FUNCTION MM4_READ_ACCELERATION {
IF NOT HAS_ACCELERATION_SENSOR {
RETURN 0.
}
// GET SENSOR VALUE
LOCAL VALUE IS ACCELERATION_SENSOR:GETFIELD("display").
IF VALUE = "OFF" {
ACCELERATION_SENSOR:DOACTION("toggle display", TRUE ).
SET VALUE TO "0u".
}
// CONVERT TO A VALID NUMERICAL VALUE (THANKS kOS)
RETURN G0*(PVAR_S2N(VALUE:SUBSTRING(0,VALUE:LENGTH-1))).
}
//
// LEAVE MAJOR MODE 4
//
FUNCTION MM4_LEAVE {
DISABLE_THROTTLE().
DISABLE_STEERING().
}
//
// TRANSFER TO MAJOR 4
//
FUNCTION MM4_TRANSFER {
// RESET PERFORMANCE ESTIMATION LOOP
GLOBAL PREVIOUS_MASS TO 0.
GLOBAL PREVIOUS_VELOCITY TO 0.
GLOBAL ESTIMATED_A0 TO 0.
GLOBAL ESTIMATED_FF TO 0.
GLOBAL ESTIMATED_THRUST TO 0.
GLOBAL ESTIMATED_ISP TO 0.
// RESET GOOD ESTIMATE COUNTS
GLOBAL GOOD_ESTIMATES TO 0.
GLOBAL INCORPORATE_ESTIMATES TO FALSE.
GLOBAL TEST_TIME TO TIME:SECONDS.
}
////////////////////////////////////////////////////////////////////////////////
// MAJOR LOOP: RECOMPUTES STEERING CONSTANTS AND DOES THE HEAVY CALCULATIONS
////////////////////////////////////////////////////////////////////////////////
FUNCTION MM4_MAJOR_LOOP_TASK { PARAMETER DT.
IF DT = INIT {
HORIZ_LINE(0, 29, 9).
HORIZ_LINE(0, 29, 13).
VERT_LINE(19, 14, 19).
}
//--------------------------------------------------------------------------
// ESTIMATE CURRENT ROCKET THRUST AND ISP
IF DT <> INIT {
// (AIRSPEED - PREVIOUS_VELOCITY)/DT.
LOCAL DT1 IS MAX(0.001, TIME:SECONDS - TEST_TIME).
SET TEST_TIME TO TIME:SECONDS.
// MAKE ESTIMATES
LOCAL MASS_KG IS SHIP:MASS*1000.
LOCAL V_ORB IS SHIP:VELOCITY:ORBIT:MAG.
IF HAS_ACCELERATION_SENSOR { // CAN MAKE PRECISE ESTIMATE BASED ON ACCELERATION SENSOR
SET ESTIMATED_FF TO ABS(PREVIOUS_MASS - MASS_KG)/DT1.
SET ESTIMATED_A0 TO MM4_READ_ACCELERATION(). //(V_ORB - PREVIOUS_VELOCITY)/DT.
SET ESTIMATED_THRUST TO MASS_KG*ESTIMATED_A0.
SET ESTIMATED_ISP TO ESTIMATED_THRUST/MAX(0.1, G0*ESTIMATED_FF).
} ELSE { // MAKE ESTIMATE ONLY BASED ON FUEL FLOW, ASSUMES NO ISP EXCURSIONS
SET ESTIMATED_FF TO ABS(PREVIOUS_MASS - MASS_KG)/DT1.
SET ESTIMATED_THRUST TO STAGE1["REF_F"]*(ESTIMATED_FF / STAGE1["REF_FF"]).
SET ESTIMATED_A0 TO ESTIMATED_THRUST/MASS_KG.
SET ESTIMATED_ISP TO STAGE1["REF_ISP"]. //ESTIMATED_THRUST/MAX(0.1, G0*ESTIMATED_FF).
}
// PREPARE FOR THE NEXT ROUND
SET PREVIOUS_MASS TO MASS_KG.
SET PREVIOUS_VELOCITY TO V_ORB.
// CHECK IF ESTIMATE IS OK
IF ON_TRAJECTORY {
//SET INCORPORATE_ESTIMATES TO TRUE.
//LOCAL THRUST_PERCENTAGE IS ESTIMATED_THRUST/STAGE1["REF_F"].
//LOCAL ISP_PERCENTAGE IS ESTIMATED_ISP/STAGE1["REF_ISP"].
//IF (THRUST_PERCENTAGE > 0.10) AND (THRUST_PERCENTAGE < 4.00) AND
//(ISP_PERCENTAGE > 0.50) AND (ISP_PERCENTAGE < 1.50) {
// SET GOOD_ESTIMATES TO GOOD_ESTIMATES + 1.
// IF GOOD_ESTIMATES > 5 {
// SET INCORPORATE_ESTIMATES TO TRUE. // FIXME
// }
//} ELSE {
// SET GOOD_ESTIMATES TO 0.
// SET INCORPORATE_ESTIMATES TO FALSE.
//}
}
}
//--------------------------------------------------------------------------
// AXES OF THE SOI-CENTRIC INERTIAL COORDINATE SYSTEM (ALL VECS IN SHIP:RAW)
LOCAL ORIGIN IS SHIP:BODY:POSITION.
LOCAL IX IS (LATLNG( 0, 0):POSITION - ORIGIN):NORMALIZED. // X AXIS (ZERO)
LOCAL IY IS (LATLNG( 0,90):POSITION - ORIGIN):NORMALIZED. // Y AXIS (EAST)
LOCAL IZ IS (LATLNG(90, 0):POSITION - ORIGIN):NORMALIZED. // Z AXIS (NORTH)
// INERTIAL POSITION AND VELOCITY
LOCAL VR0 IS SHIP:POSITION - ORIGIN. // POSITION IN SHIP:RAW
LOCAL VV0 IS SHIP:VELOCITY:ORBIT. // VELOCITY IN SHIP:RAW
LOCAL VR IS V(VDOT(VR0, IX), VDOT(VR0, IY), VDOT(VR0, IZ)). // POSITION IN INERTIAL
LOCAL VV IS V(VDOT(VV0, IX), VDOT(VV0, IY), VDOT(VV0, IZ)). // VELOCITY IN INERTIAL
LOCAL HV IS VCRS(VR, VV). // ORBITAL ANGULAR MOMENTUM
// CALCULATE AXES AND POSITION VECTORS FOR THE COORDINATE SYSTEM
LOCAL R IS VR:NORMALIZED.
LOCAL V IS VV:NORMALIZED.
LOCAL H IS HV:NORMALIZED.
LOCAL TG IS VCRS(H,R). // TANGENTIAL VECTOR
LOCAL VRAD IS VDOT(VV, R). // RADIAL VELOCITY
LOCAL VTAN IS VDOT(VV, TG). // TANGENTIAL VELOCITY
SET R0_0 TO VR:MAG. // CURRENT POSITION
SET V0_0 TO VRAD. // CURRENT RADIAL VELOCITY
SET OMEGA TO VTAN/VR:MAG. // ANGULAR VELOCITY (IN INERTIAL COORDINATES)
LOCAL HMAG IS HV:MAG. // ANGULAR MOMENTUM
// ESTIMATE RESIDUAL VELOCITY
LOCAL DV IS (TARGET_H - HMAG)/((R0_0 + TARGET_R)*0.5).
// INCORPORATE THRUST/ISP ESTIMATES INTO GUIDANCE
IF INCORPORATE_ESTIMATES {
IF MINOR_MODE = 0 {
SET STAGE1["F"] TO STAGE1["F"]*0.50 + 0.50*ESTIMATED_THRUST.
//SET STAGE1["VE"] TO STAGE1["VE"]*0.50 + 0.50*G0*ESTIMATED_ISP.
//SET STAGE1["BURNTIME"] TO STAGE1["BURNTIME"]*0.50 + 0.50*(STAGE1["FUEL"]/ESTIMATED_FF)*1.01.
} ELSE {
//SET STAGE1["F"] TO STAGE1["REF_F"].
SET STAGE2["F"] TO STAGE2["F"]*0.50 + 0.50*ESTIMATED_THRUST.
}
}
// RUN GUIDANCE
IF GUIDANCE_MODE = 1 {
// UPDATE STAGE ACCELERATION AND TAU
LG_SET_A0_TAU(STAGE1).
// ESTIMATE STAGE 1 CUTOFF TIME BY REMAINING DV
LG_ESTIMATE_T_BY_DV(STAGE1, DV, 0).
SET CUTOFF_TIME TO STAGE1["T"].
SET STAGE_TIME TO STAGE1["T"].
// SOLVE LINEAR GUIDANCE EQUATIONS (ONE-STAGE)
LG_SOLVE_1STAGE().
} ELSE { // TWO-STAGE GUIDANCE
// ESTIMATE FUEL LOAD IN STAGE 1
LOCAL STAGE1_LF IS MAX(0, STAGE:RESOURCESLEX["LIQUIDFUEL"]:AMOUNT - MM4_STAGE1_BURNOUT_LF).
LOCAL STAGE1_OX IS MAX(0, STAGE:RESOURCESLEX["OXIDIZER"]:AMOUNT - MM4_STAGE1_BURNOUT_OX).
LOCAL STAGE1_FUEL_MASS IS (STAGE1_LF + STAGE1_OX)*5.0.
// UPDATE STAGE ACCELERATION AND TAU (BUT DONT UPDATE STAGE1 WHEN IT BURNED OUT)
IF MINOR_MODE = 0 {
LG_SET_A0_TAU(STAGE1).
LG_SET_A0_TAU_MINUS_DELTA(STAGE2, STAGE1_FUEL_MASS + MM4_STAGE1_BURNOUT_DRY).
} ELSE { // CURRENT MASS KNOWN
LG_SET_A0_TAU(STAGE1).
LG_SET_A0_TAU(STAGE2).
}
// ESTIMATE STAGE 1 CUTOFF TIME BY BURN TIME
IF MINOR_MODE = 0 {
// ESTIMATE CURRENT FUEL FLOW
LOCAL CURRENT_FF IS STAGE1["REF_FF"].
// ESTIMATE BURN TIME
SET STAGE1["T"] TO STAGE1_FUEL_MASS / CURRENT_FF.
} ELSE {
// JUST SET TO ZERO
SET STAGE1["T"] TO 0.0.
}
// ESTIMATE STAGE 2 CUTOFF TIME BY REMAINING DV
LG_ESTIMATE_T_BY_DV(STAGE2, DV, STAGE1["T"]).
SET CUTOFF_TIME TO STAGE2["T"].
// SOLVE LINEAR GUIDANCE EQUATIONS (TWO-STAGE)
LG_SOLVE_2STAGE().
// STAGE TRANSITIONING
IF (MINOR_MODE = 0) AND (STAGE:NUMBER < MM4_FIRST_STAGE_NO) {
TRANSFER_MODE(4,1).
}
// SET CORRECT TIME TO STAGE CUTOFF
IF MINOR_MODE = 0 {
SET STAGE_TIME TO STAGE1["T"].
} ELSE {
SET STAGE_TIME TO STAGE2["T"].
}
}
// UPDATE STEERING CONSTANTS (FREEZE THEM WHEN APPROACHING STAGE CUTOFF)
IF STAGE_TIME > 7 {
SET TAB TO TIME:SECONDS.
IF MINOR_MODE = 0 {
// STAGE 1 STEERING CONSTANTS
SET A TO A_1.
SET B TO B_1.
} ELSE {
// STAGE 2 STEERING CONSTANTS
SET A TO A_1 + dA() + B_1*STAGE1["T"].
SET B TO B_1 + dB().
}
}
//--------------------------------------------------------------------------
// SHOW UI VARIABLES
UI_VARIABLE("R ", "M", R0_0, 0,8, NUMBER, 0,0).
UI_VARIABLE("Rdot", "M/S", V0_0, 1,8, SIGNED, 0,1).
UI_VARIABLE("Tdot", "M/S", VTAN, 1,8, SIGNED, 0,2).
UI_VARIABLE("-dV ", "M/S", DV, 1,8, NUMBER, 0,3).
UI_VARIABLE("RT", "", TARGET_R, 0,8, NUMBER, 18,0).
UI_VARIABLE("VT", "", TARGET_V, 0,8, SIGNED, 18,1).
PRINT_TIME(CUTOFF_TIME, 1,8).
PRINT_TIME(STAGE_TIME, 12,8).
UI_VARIABLE("1 T", "", STAGE1["T"], 1,7, SIGNED, 0,7).
UI_VARIABLE("1 A0", "", STAGE1["A0"], 1,7, SIGNED, 0,8).
UI_VARIABLE("1 TAU", "", STAGE1["TAU"], 1,7, SIGNED, 0,9).
UI_VARIABLE("2 T", "", STAGE2["T"], 1,7, SIGNED, 16,7).
UI_VARIABLE("2 A0", "", STAGE2["A0"], 1,7, SIGNED, 16,8).
UI_VARIABLE("2 TAU", "", STAGE2["TAU"], 1,7, SIGNED, 16,9).
UI_VARIABLE("A", "", A, 6,8, SIGNED, 0,11).
UI_VARIABLE("B", "", B, 6,8, SIGNED, 0,12).
//UI_VARIABLE("FF", "KGS", ESTIMATED_FF, 2,5, NUMBER, 18,1).
UI_VARIABLE("N", "", STAGE:NUMBER, 2,5, NUMBER, 18,2).
UI_VARIABLE("N", "", STAGE:RESOURCESLEX["LIQUIDFUEL"]:AMOUNT, 2,5, NUMBER, 18,3).
IF MINOR_MODE = 0 { // STAGE 1
UI_VARIABLE(" FF", "", 100*ESTIMATED_FF/STAGE1["REF_FF"], 1,5, NUMBER, 20,11).
UI_VARIABLE("THR", "", 100*ESTIMATED_THRUST/STAGE1["REF_F"], 1,5, NUMBER, 20,12).
UI_VARIABLE("ISP", "", 100*ESTIMATED_ISP/STAGE1["REF_ISP"], 1,5, NUMBER, 20,13).
UI_VARIABLE(" G", "", ESTIMATED_A0/G0, 3,6, NUMBER, 20,14).
UI_VARIABLE("CTA", "", INCORPORATE_ESTIMATES, 0,3, ONOFF, 21,16).
} ELSE { // STAGE 2
UI_VARIABLE(" FF", "", 100*ESTIMATED_FF/STAGE2["REF_FF"], 1,5, NUMBER, 20,11).
UI_VARIABLE("THR", "", 100*ESTIMATED_THRUST/STAGE2["REF_F"], 1,5, NUMBER, 20,12).
UI_VARIABLE("ISP", "", 100*ESTIMATED_ISP/STAGE2["REF_ISP"], 1,5, NUMBER, 20,13).
UI_VARIABLE(" G", "", ESTIMATED_A0/G0, 3,6, NUMBER, 20,14).
UI_VARIABLE("CTA", "", INCORPORATE_ESTIMATES, 0,3, ONOFF, 21,16).
}
// RUN TASK AT HIGHER RATE AS CUTOFF APPROACHES
//IF CUTOFF_TIME > 60.0 {
//TASK_SCHEDULE(6, MM4_MAJOR_LOOP_TASK@).
//} ELSE {
TASK_SCHEDULE(5, MM4_MAJOR_LOOP_TASK@).
//}
}
////////////////////////////////////////////////////////////////////////////////
// MINOR LOOP: COMPUTES STEERING COMMAND AND STEERS THE ROCKET
////////////////////////////////////////////////////////////////////////////////
FUNCTION MM4_MINOR_LOOP_TASK { PARAMETER DT.
// DO NOT RUN MINOR LOOP UNTIL INITIALIZED
IF TAB < 1 { RETURN. }
// DETERMINE AMOUNT OF SECONDS FROM LAST STEERING CONSTANT UPDATE FOR EXTRAPOLATION
LOCAL T IS TIME:SECONDS - TAB.
// DETERMINE COORDINATES. SEE MAJOR LOOP FOR EXPLANATION OF THESE CALCULATIONS
LOCAL ORIGIN IS SHIP:BODY:POSITION.
LOCAL IX IS (LATLNG( 0, 0):POSITION - ORIGIN):NORMALIZED.
LOCAL IY IS (LATLNG( 0,90):POSITION - ORIGIN):NORMALIZED.
LOCAL IZ IS (LATLNG(90, 0):POSITION - ORIGIN):NORMALIZED.
LOCAL VR0 IS SHIP:POSITION - ORIGIN.
LOCAL VV0 IS SHIP:VELOCITY:ORBIT.
LOCAL VR IS V(VDOT(VR0, IX), VDOT(VR0, IY), VDOT(VR0, IZ)).
LOCAL VV IS V(VDOT(VV0, IX), VDOT(VV0, IY), VDOT(VV0, IZ)).
LOCAL HV IS VCRS(VR, VV).
LOCAL R IS VR:NORMALIZED.
LOCAL H IS HV:NORMALIZED.
LOCAL TG IS VCRS(H,R).
LOCAL VTAN IS VDOT(VV, TG).
LOCAL RMAG IS VR:MAG.
SET OMEGA TO VTAN/VR:MAG.
// (FIXME: OPTIMIZE THESE CALCULATIONS)
// COMPUTE STEERING CONSTANT C (GRAVICOMPONENT)
LOCAL C IS 0.
IF MINOR_MODE = 0 { // STAGE 1
SET C TO (MU/(RMAG^2)-(OMEGA^2)*RMAG)/A0_1(T).
} ELSE { // STAGE 2
SET C TO (MU/(RMAG^2)-(OMEGA^2)*RMAG)/A0_2(T).
}
// COMPUTE STEERING COMMAND. THE GOOD STUFF
LOCAL F IS A + B*T + C.
// GENERATE PITCHOVER
LOCAL PITCH_GRADIENT IS MIN(1,MAX(0, (ALTITUDE-7000)/(16000-7000) )).
LOCAL PITCH_MAX IS 80 - 20*PITCH_GRADIENT.
// GENERATE PITCHOVER LIMIT (ADDS BASIC OPEN LOOP SECTION)
//LOCAL PITCH_GRADIENT IS MIN(1,MAX(0, (ALTITUDE-7000)/(16000-7000) )).
//LOCAL PITCH_MAX IS 80 - 40*PITCH_GRADIENT.
//LOCAL PITCHOVER_START IS 75.0.
//LOCAL PITCHOVER_RATE IS 1.0.
//LOCAL PITCH_MAX IS 90 - (5*PITCH_GRADIENT1) - PITCHOVER.
//LOCAL PITCH_GRADIENT1 IS MIN(1,MAX(0, (ALTITUDE-500)/(1500-500) )).
//LOCAL PITCH_GRADIENT2 IS 1.0 - MIN(1,MAX(0, (F-0.80)/(1.80-0.80) )).
//LOCAL PITCHOVER IS MIN(40,MAX(0, PITCHOVER_RATE*(MISSIONTIME-PITCHOVER_START) )).
//SET PITCH_MAX TO PITCH_MAX*0.90 + 0.10*(90 - 15*PITCH_GRADIENT1 - 30*PITCH_GRADIENT2).
// GENERATE PITCH COMMAND
SET TGT_PITCH_CMD TO DEG(CONSTANT:PI*0.5 - ACOS(F)).
//IF ALTITUDE < 16000 {
//SET PITCH TO PITCH_MAX.
//}
IF TGT_PITCH_CMD < PITCH_MAX {
SET ON_TRAJECTORY TO TRUE.
//LOCK THROTTLE TO 0.35.
}
IF MINOR_MODE = 1 {
SET CURRENT_THROTTLE TO MM4_STAGE2_POWER_SETTING.
} ELSE {
SET CURRENT_THROTTLE TO MM4_STAGE1_POWER_SETTING.
}
// ATMOSPHERIC TEST
//IF ALTITUDE > 25000 { LOCK THROTTLE TO 0.35. }
// GENERATE PITCH COMMAND (FIXME: FREEZE STEERING CONSTANTS, NOT PITCH ANGLE...)
//IF CUTOFF_TIME > 7 {
//}
// GENERATE CUTOFF SIGNAL
IF CUTOFF_TIME < 5 { // CUTOFF ARMED
LOCAL HMAG IS HV:MAG.
LOCAL DV IS (TARGET_H - HMAG)/((R0_0 + TARGET_R)*0.5).
IF DV < 2 { // SHUTDOWN ENGINES WHEN CUTOFF REACHED
LOCK THROTTLE TO 0.0.
}
// FIXME: PERFORMANCE CAN BE IMPROVED BY A MORE PRECISE CUTOFF
}
// SET ANGLE LIMITS TO PREVENT GUIDANCE FROM COMMANDING REALLY SUBOPTIMAL HIGH ANGLES
SET TGT_PITCH_CMD TO MIN(PITCH_MAX, MAX(-60, TGT_PITCH_CMD )).
// RATE LIMIT PITCH COMMAND
IF PITCH_CMD < TGT_PITCH_CMD {
SET PITCH_CMD TO MIN(TGT_PITCH_CMD, PITCH_CMD + MM4_MAX_PITCH_RATE*DT).
}
IF PITCH_CMD > TGT_PITCH_CMD {
SET PITCH_CMD TO MAX(TGT_PITCH_CMD, PITCH_CMD - MM4_MAX_PITCH_RATE*DT).
}
// GENERATE TARGET YAW COMMAND (FIXME)
LOCAL YAW_CMD IS 90.
// STEER THE VEHICLE.
SET CURRENT_STEERING TO HEADING(YAW_CMD, PITCH_CMD).
//--------------------------------------------------------------------------
// SHOW UI VARIABLES
UI_VARIABLE("F", "", F, 3,6, SIGNED, 11,11).
UI_VARIABLE("P", "", TGT_PITCH_CMD, 1,6, SIGNED, 11,12).
UI_VARIABLE("C", "", PITCH_CMD, 1,6, SIGNED, 11,13).
UI_VARIABLE("Y", "", YAW_CMD, 1,6, SIGNED, 11,14).
// RUN MINOR LOOP AT HIGH RATE
TASK_SCHEDULE(1, MM4_MINOR_LOOP_TASK@).
}
////////////////////////////////////////////////////////////////////////////////
// THROTTLE LOOP: MANAGES THE ENGINE THROTTLE TO MAINTAIN STAGE LIMITS
////////////////////////////////////////////////////////////////////////////////
FUNCTION MM4_THROTTLE_TASK { PARAMETER DT.
//IF MINOR_MODE = 1 { // ENGINE CHECK
// SET CURRENT_THROTTLE TO MIN(1.0, MODE_TIMER()/3.0).
//
//} ELSE IF (MINOR_MODE > 1) AND (MINOR_MODE < 8) { // FLIGHT THROTTLE
// // LIMIT MAX THROTTLE BASED ON ACCELERATION
// IF SHIP:SENSORS:ACC:MAG > 16.0 {
// SET MAX_THROTTLE TO MAX(0.35, MAX_THROTTLE - MM4_THROTTLE_DRATE*DT).
// }
//
// // DEFINE DECREASE IN THROTTLE DUE TO HIGH Q
// LOCAL Q_THROTTLE IS MIN(MAX((SHIP:Q - 0.15)/0.05, 0), 0.50).
//
// // SET THROTTLE LEVEL
// SET CURRENT_THROTTLE TO MIN(1.0 - Q_THROTTLE, MAX_THROTTLE).
//
//} ELSE { // OTHER MODES
// SET CURRENT_THROTTLE TO 0.0.
//}
//SET CURRENT_THROTTLE TO 1.0.
//IF HAS_ACCELERATION_SENSOR {
// IF MM4_READ_ACCELERATION() > STAGE1["A0CONST"] {
// SET CURRENT_THROTTLE TO MAX(0.10, CURRENT_THROTTLE - 0.05*DT).
// }
//}
// DEFINE DECREASE IN THROTTLE DUE TO HIGH Q
LOCAL Q_THROTTLE IS MIN(MAX((SHIP:Q - 0.15)/0.05, 0), 0.50).
SET CURRENT_THROTTLE TO MIN(1.0 - Q_THROTTLE, MAX_THROTTLE).
TASK_SCHEDULE(3, MM4_THROTTLE_TASK@).
}.
////////////////////////////////////////////////////////////////////////////////
// FEED TELEMETRY TO DATA RECORDER/DOWNLINK
////////////////////////////////////////////////////////////////////////////////
FUNCTION MM4_TELEMETRY_TASK { PARAMETER DT.
//DOWNLINK("PITCH ",ROUND(PITCH_COMMAND,3) ).
//DOWNLINK("Q", ROUND(SHIP:Q*100,3) ).
//DOWNLINK("THRUST", ROUND(MAXTHRUST,1) ).
//DOWNLINK("MASS", ROUND(MASS,2) ).
//DOWNLINK("AP", ROUND(SHIP:APOAPSIS,0) ).
//DOWNLINK("PE", ROUND(SHIP:PERIAPSIS,0) ).
//DOWNLINK("TRIM", ROUND(SERVO_GET("Main engine"),2) ).
//DOWNLINK("ABORT", ABORT_TYPE ).
TASK_SCHEDULE(7, MM4_TELEMETRY_TASK@).
}.
////////////////////////////////////////////////////////////////////////////////
MODE_NAMES:ADD(40, "CONSTANT THRUST ").
MODE_NAMES:ADD(41, "CONSTANT ACCEL ").
MODE_ENTER (4, MM4_ENTER@).
MODE_LEAVE (4, MM4_LEAVE@).
MODE_TRANSFER (4, MM4_TRANSFER@).
MODE_TASK (4, MM4_MAJOR_LOOP_TASK@).
MODE_TASK (4, MM4_MINOR_LOOP_TASK@).
//MODE_TASK (4, MM4_THROTTLE_TASK@).
//MODE_TASK (4, MM4_TELEMETRY_TASK@).