private SimulationStep RunStep(SimulationStep prev)
{
var step = new SimulationStep();
step.Index = prev.Index + 1;;
// =B5+Main!$P$11
step.T = prev.T + DeltaT;
// =IF(AZ5+AZ6>0;1;IF(BA5+BA6>0;2;IF(BB5+BB6>0;3;IF(BC5+BC6>0;4;FALSE))))
step.Stage = prev.FuelMass[prev.StageIndex] > 0 ? prev.Stage : prev.Stage + 1;
// =I5+N5*Main!$P$11
step.Coordinates.Altitude = prev.Coordinates.Altitude + prev.Velocity.Vy * DeltaT;
// = J5 + L5 * Main!$P$11
step.Coordinates.Distance = prev.Coordinates.Distance + prev.Velocity.Vx * DeltaT;
// =L5+(V5-Z5)*Main!$P$11
step.Velocity.Vx = prev.Velocity.Vx + (prev.Acceleration.Ax - prev.Acceleration.Acoriol) * DeltaT;
// =L6+Main!$M$19
step.Velocity.Vxabs = step.Velocity.Vx + Spaceport.GetEarthRotationVelocity(Constants.EarthRadius);
// =N5+(W5+Y5-X5)*Main!$P$11
step.Velocity.Vy = prev.Velocity.Vy + (prev.Acceleration.Ay + prev.Acceleration.Acentr - prev.Acceleration.G) * DeltaT;
step.DryMass =
(from s in Launcher.Stages where s.Number >= step.Stage select s.EmptyMass).Sum() +
(step.T <= Launcher.FairingJettision ? Launcher.FairingMass : 0.0) +
Launcher.Payload;
// =MAX(AZ5-Main!E$15*AO5*Main!$P$11;0)
step.FuelMass = Launcher.Stages.Select(s => Math.Max(prev.FuelMass[s.Index] - s.FuelConsumption * prev.Throttle[s.Index] * DeltaT, 0.0)).ToArray();
// =SUM(AY6:BC6)
step.M = step.DryMass + step.FuelMass.Sum();
step.Atmosphere.Tc = GetTemperature(step.Coordinates.Altitude);
step.Atmosphere.Ro = GetDensity(step.Coordinates.Altitude);
step.Throttle = Launcher.Stages.Select(s => s.GetThrottle(step.Stage, step.T)).ToArray();
step.ThrustKgf = Launcher.Stages.Select(s =>
s.FuelConsumption *
step.Throttle[s.Index] *
(s.IspVac - (s.IspVac - s.IspAtm) * step.Atmosphere.Ro) *
Math.Min(step.FuelMass[s.Index], s.FuelConsumption * DeltaT) /
Math.Max(s.FuelConsumption * DeltaT, 1.0)).ToArray();
step.ThrustN = Constants.GravityOfEarthStandard * step.ThrustKgf.Sum();
// =IF(AND(E5=E8;E8>0);(R6/Q6+R5/Q5)/2;R5/Q5)
// TODO: step.A
step.A = step.ThrustN / step.M;
// =T5+Main!$P$11*S5
step.CV = prev.CV + DeltaT * prev.A;
step.Acceleration.G = Constants.GravityOfEarthPolar * Math.Pow(1000.0 * Constants.EarthRadius / (1000.0 * Constants.EarthRadius + step.Coordinates.Altitude), 2.0);
step.Acceleration.Acentr = step.Velocity.Vxabs * step.Velocity.Vxabs / (1000.0 * Constants.EarthRadius + step.Coordinates.Altitude);
step.Acceleration.Acoriol = step.Velocity.Vy * step.Velocity.Vxabs / (1000.0 * Constants.EarthRadius + step.Coordinates.Altitude);
var currentStage = step.StageIndex < Launcher.Stages.Count ? Launcher.Stages[step.StageIndex] : null;
step.Aerodynamics.Cx = currentStage?.Cx ?? 0.0;
step.Aerodynamics.Cy = currentStage?.Cy ?? 0.0;
// =0,5*Main!Q$9*AC6*O6*O6
step.Aerodynamics.Q = 0.5 * Constants.AirDensity * step.Atmosphere.Ro * step.Velocity.V * step.Velocity.V;
step.Control.T = step.T;
step.Control.ControlInterval.Value1 = 1;
// =MAX(0; (B5-OFFSET(Main!D$32;0;O5))/(OFFSET(Main!D$32;0;O5+1)-OFFSET(Main!D$32;0;O5)))
step.Control.ControlInterval.Value2 = Math.Max(0, (step.T - PitchProgram.T0) / (PitchProgram.Tmax - PitchProgram.T0));
// =180/PI()*ATAN(TAN(PI()/180*OFFSET(Main!$D$34;0;O5))*(1-P5)+TAN(PI()/180*OFFSET(Main!$D$34;0;O5+1))*P5)
step.Control.ControlLinearTheta = 180.0 / Math.PI * Math.Atan(
Math.Tan(Math.PI / 180.0 * PitchProgram.Theta0) * (1.0 - step.Control.ControlInterval.Value2) +
Math.Tan(Math.PI / 180.0 * PitchProgram.ThetaMax) * step.Control.ControlInterval.Value2);
// = IF(Main!B$41 = "+"; AU5; IF(Main!B$38 = "+"; AO5; IF(Main!B$35 = "+"; Y5; R5)))
step.Control.ThetaOpt = step.Control.ControlLinearTheta;
// =IF(Main!$B$38="+";AQ5;E5)
step.Control.ChiOpt = step.Control.ThetaOpt;
// =IF(Main!$B$51="+";MIN(90;180/PI()*Main!E$51/Simulation!AF6);90)
step.Control.QAlpha.AlphaMax = Restrictions.QAlpha != null?Math.Min(90.0, 180.0 / Math.PI *Restrictions.QAlpha.Value / step.Aerodynamics.Q) : 90.0;
// =180/PI()*ATAN2(Simulation!L6;Simulation!N6)
step.Control.QAlpha.Nu = 180.0 / Math.PI * Math.Atan2(step.Velocity.Vy, step.Velocity.Vx);
// = IF(AND(Main!$B$47 = "+"; Main!$B$48 = "+"; B6 < Main!$E$48); Main!$E$47; MAX(-90; M6 - L6))
step.Control.ThetaMin = Restrictions.LaunchPosition != null && Restrictions.ClearingTower != null && step.T < Restrictions.ClearingTower.Value ?
Restrictions.LaunchPosition.Value : Math.Max(-90.0, step.Control.QAlpha.Nu - step.Control.QAlpha.AlphaMax);
// =IF(AND(Main!$B$47="+";Main!$B$48="+";B6<Main!$E$48);Main!$E$47;MIN(90;M6+L6))
step.Control.ThetaMax = Restrictions.LaunchPosition != null && Restrictions.ClearingTower != null && step.T < Restrictions.ClearingTower.Value ?
Restrictions.LaunchPosition.Value : Math.Min(90.0, step.Control.QAlpha.Nu + step.Control.QAlpha.AlphaMax);
// =IF(Main!$B$49="+";Main!$P$11*Main!$E$49;90)
var maxTheta = Restrictions.MaxTurn != null ? DeltaT * Restrictions.MaxTurn.Value : 90.0;
// =MIN(I5+I$3;MAX(I5-I$3;MIN(H6;MAX(G6;E6))))
step.Control.Theta = Math.Min(
prev.Control.Theta + maxTheta,
Math.Max(prev.Control.Theta - maxTheta, Math.Min(step.Control.ThetaMax, Math.Max(step.Control.ThetaMin, step.Control.ThetaOpt))));
// =MIN(J5+I$3;MAX(J5-I$3;MIN(H6;MAX(G6;F6))))
step.Control.Chi = Math.Min(
prev.Control.Chi + maxTheta,
Math.Max(prev.Control.Chi - maxTheta, Math.Min(step.Control.ThetaMax, Math.Max(step.Control.ThetaMin, step.Control.ThetaOpt))));
// =IF(E5;Control!I5;0)
step.Pitch.Thrust = step.Control.Theta;
// =IF(E5;Control!J5;0)
step.Pitch.AD = step.Control.Chi;
// =G6-ATAN2(L6; N6)/PI()*180
step.Aerodynamics.AOA = step.Pitch.AD - Math.Atan2(step.Velocity.Vy, step.Velocity.Vx) / Math.PI * 180.0;
// =AF6*AH6*OFFSET(Main!D$24;0;E6)*SIN(AE6/180*PI())
step.Aerodynamics.Rl = step.Aerodynamics.Q * step.Aerodynamics.Cy * (currentStage?.Sy ?? 0.0) * Math.Sin(step.Aerodynamics.AOA / 180.0 * Math.PI);
// =AF6*AG6*OFFSET(Main!D$23;0;E6)*COS(AE6/180*PI())
step.Aerodynamics.Rd = step.Aerodynamics.Q * step.Aerodynamics.Cx * (currentStage?.Sx ?? 0.0) * Math.Cos(step.Aerodynamics.AOA / 180.0 * Math.PI);
// =-AI5*COS(G5*PI()/180)-AJ5*SIN(G5*PI()/180)
step.Aerodynamics.Rx = -step.Aerodynamics.Rd * Math.Cos(step.Pitch.AD * Math.PI / 180.0) - step.Aerodynamics.Rl * Math.Sin(step.Pitch.AD * Math.PI / 180.0);
// -AI5*SIN(G5*PI()/180)+AJ5*COS(G5*PI()/180)
step.Aerodynamics.Ry = -step.Aerodynamics.Rd * Math.Sin(step.Pitch.AD * Math.PI / 180.0) + step.Aerodynamics.Rl * Math.Cos(step.Pitch.AD * Math.PI / 180.0);
// =S5*COS(F5*PI()/180)+AK5/Q5
step.Acceleration.Ax = step.A * Math.Cos(step.Pitch.Thrust * Math.PI / 180.0) + step.Aerodynamics.Rx / step.M;
// =S5*SIN(F5*PI()/180)+AL5/Q5
step.Acceleration.Ay = step.A * Math.Sin(step.Pitch.Thrust * Math.PI / 180.0) + step.Aerodynamics.Ry / step.M;
return(step);
}
private SimulationStep CreateFirstStep()
{
var step = new SimulationStep()
{
Index = 0,
T = 0,
Stage = 1
};
step.Coordinates.Altitude = Spaceport.Altitude;
step.Coordinates.Distance = 0.0;
step.Velocity.Vx = Spaceport.Velocity * Math.Cos(Math.PI / 180.0 * Spaceport.Angle);
step.Velocity.Vxabs = step.Velocity.Vx + Spaceport.GetEarthRotationVelocity(Constants.EarthRadius);
step.Velocity.Vy = Spaceport.Velocity * Math.Sin(Math.PI / 180.0 * Spaceport.Angle);
step.DryMass = Launcher.Stages.Sum(s => s.EmptyMass) + Launcher.FairingMass + Launcher.Payload;
step.FuelMass = Launcher.Stages.Select(s => s.FullMass - s.EmptyMass).ToArray();
step.M = step.DryMass + step.FuelMass.Sum();
step.Atmosphere.Tc = GetTemperature(step.Coordinates.Altitude);
step.Atmosphere.Ro = GetDensity(step.Coordinates.Altitude);
step.Throttle = Launcher.Stages.Select(s => s.GetThrottle(step.Stage, step.T)).ToArray();
step.ThrustKgf = Launcher.Stages.Select(s =>
s.FuelConsumption *
step.Throttle[s.Index] *
(s.IspVac - (s.IspVac - s.IspAtm) * step.Atmosphere.Ro) *
Math.Min(step.FuelMass[s.Index], s.FuelConsumption * DeltaT) /
Math.Max(s.FuelConsumption * DeltaT, 1.0)).ToArray();
step.ThrustN = Constants.GravityOfEarthStandard * step.ThrustKgf.Sum();
// =IF(AND(E5=E8;E8>0);(R6/Q6+R5/Q5)/2;R5/Q5)
// TODO: step.A
step.A = step.ThrustN / step.M;
step.CV = 0.0;
step.Acceleration.G = Constants.GravityOfEarthPolar * Math.Pow(1000.0 * Constants.EarthRadius / (1000.0 * Constants.EarthRadius + step.Coordinates.Altitude), 2.0);
step.Acceleration.Acentr = step.Velocity.Vxabs * step.Velocity.Vxabs / (1000.0 * Constants.EarthRadius + step.Coordinates.Altitude);
step.Acceleration.Acoriol = step.Velocity.Vy * step.Velocity.Vxabs / (1000.0 * Constants.EarthRadius + step.Coordinates.Altitude);
step.Aerodynamics.AOA = 0.0;
step.Aerodynamics.Q = 0.5 * Constants.AirDensity * step.Atmosphere.Ro * step.Velocity.V * step.Velocity.V;
var firstStage = Launcher.Stages.First();
step.Aerodynamics.Cx = firstStage.Cx;
step.Aerodynamics.Cy = firstStage.Cy;
step.Aerodynamics.Rl = step.Aerodynamics.Q * step.Aerodynamics.Cy * firstStage.Sy * Math.Sin(step.Aerodynamics.AOA / 180.0 * Math.PI);
step.Control.T = 0;
step.Control.ControlInterval.Value1 = 1;
// =MAX(0; (B5-OFFSET(Main!D$32;0;O5))/(OFFSET(Main!D$32;0;O5+1)-OFFSET(Main!D$32;0;O5)))
step.Control.ControlInterval.Value2 = Math.Max(0, (step.T - PitchProgram.T0) / (PitchProgram.Tmax - PitchProgram.T0));
// =180/PI()*ATAN(TAN(PI()/180*OFFSET(Main!$D$34;0;O5))*(1-P5)+TAN(PI()/180*OFFSET(Main!$D$34;0;O5+1))*P5)
step.Control.ControlLinearTheta = 180.0 / Math.PI * Math.Atan(
Math.Tan(Math.PI / 180.0 * PitchProgram.Theta0) * (1.0 - step.Control.ControlInterval.Value2) +
Math.Tan(Math.PI / 180.0 * PitchProgram.ThetaMax) * step.Control.ControlInterval.Value2);
// = IF(Main!B$41 = "+"; AU5; IF(Main!B$38 = "+"; AO5; IF(Main!B$35 = "+"; Y5; R5)))
step.Control.ThetaOpt = step.Control.ControlLinearTheta;
// =IF(Main!$B$38="+";AQ5;E5)
step.Control.ChiOpt = step.Control.ThetaOpt;
step.Control.QAlpha.AlphaMax = 90.0;
step.Control.QAlpha.Nu = 90.0;
// =IF(AND(Main!$B$47="+");Main!$E$47;MAX(-90;M5-L5))
step.Control.ThetaMin = Restrictions.LaunchPosition != null ? Restrictions.LaunchPosition.Value : Math.Max(-90.0, step.Control.QAlpha.Nu - step.Control.QAlpha.AlphaMax);
// =IF(AND(Main!$B$47="+");Main!$E$47;MIN(90;M5+L5))
step.Control.ThetaMax = Restrictions.LaunchPosition != null ? Restrictions.LaunchPosition.Value : Math.Max(-90.0, step.Control.QAlpha.Nu + step.Control.QAlpha.AlphaMax);
step.Control.Theta = Math.Max(step.Control.ThetaMax, Math.Min(step.Control.ThetaMin, step.Control.ThetaOpt));
step.Control.Chi = Math.Max(step.Control.ThetaMax, Math.Min(step.Control.ThetaMin, step.Control.ChiOpt));
// =IF(E5;Control!I5;0)
step.Pitch.Thrust = step.Control.Theta;
// =IF(E5;Control!J5;0)
step.Pitch.AD = step.Control.Chi;
// =S5*COS(F5*PI()/180)+AK5/Q5
step.Acceleration.Ax = step.A * Math.Cos(step.Pitch.Thrust * Math.PI / 180.0) + step.Aerodynamics.Rx / step.M;
// =S5*SIN(F5*PI()/180)+AL5/Q5
step.Acceleration.Ay = step.A * Math.Sin(step.Pitch.Thrust * Math.PI / 180.0) + step.Aerodynamics.Ry / step.M;
// TODO : first step Rd
// =AF5*AG5*Control!AF5*COS(AE5/180*PI())
// step.Aerodynamics.Rd = 0.0;
// =-AI5*COS(G5*PI()/180)-AJ5*SIN(G5*PI()/180)
step.Aerodynamics.Rx = -step.Aerodynamics.Rd * Math.Cos(step.Pitch.AD * Math.PI / 180.0) - step.Aerodynamics.Rl * Math.Sin(step.Pitch.AD * Math.PI / 180.0);
// -AI5*SIN(G5*PI()/180)+AJ5*COS(G5*PI()/180)
step.Aerodynamics.Ry = -step.Aerodynamics.Rd * Math.Sin(step.Pitch.AD * Math.PI / 180.0) + step.Aerodynamics.Rl * Math.Cos(step.Pitch.AD * Math.PI / 180.0);
return(step);
}