Clamp beta factor in transonic region
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@ -55,7 +55,7 @@ public class FlightConditions implements Cloneable, ChangeSource, Monitorable {
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* Sqrt(1 - M^2) for M<1
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* Sqrt(M^2 - 1) for M>1
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*/
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private double beta = MathUtil.safeSqrt(1 - mach * mach);
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private double beta = calculateBeta(mach);
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/** Current roll rate. */
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private double rollRate = 0;
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@ -243,10 +243,7 @@ public class FlightConditions implements Cloneable, ChangeSource, Monitorable {
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return;
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this.mach = mach;
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if (mach < 1)
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this.beta = MathUtil.safeSqrt(1 - mach * mach);
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else
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this.beta = MathUtil.safeSqrt(mach * mach - 1);
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this.beta = calculateBeta(mach);
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fireChangeEvent();
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}
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@ -288,6 +285,23 @@ public class FlightConditions implements Cloneable, ChangeSource, Monitorable {
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return beta;
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}
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/**
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* Calculate the beta value (compressibility factor/Prandtl-Glauert correction factor) for the given Mach number.
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* Source: "Active Guidance and Dynamic Flight Mechanics for Model Rockets", David Ketchledge (1993)
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* @param mach the Mach number.
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* @return the beta value.
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*/
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private static double calculateBeta(double mach) {
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if (mach < 0.8) {
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return MathUtil.safeSqrt(1 - mach * mach);
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} else if (mach < 1.1)
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// Because beta reaches infinity for M=1, we clamp the factor to 0.6 in the transonic region (Mach 0.8-1.1)
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return 0.6; // sqrt(1 - 0.8^2)
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else {
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return MathUtil.safeSqrt(mach * mach - 1);
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}
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}
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/**
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* @return the current roll rate.
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*/
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