Plot

e4741345-edfc-412e-ba44-252c21fc377b 35 9 12 decimal

&[DATE] &[TIME] - &[FILENAME]

Plot

data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 13 mat for data r3 r4 r5 augment 21 line :

Square Minimun Function

T X Y Order f T 1 ≡ m Order 1 + : m 2 : if n X rows : 12 mat i 1 m range j 1 m range con i 1 - (j 1 - (+ : i 1 ≡ (j 1 ≡ (& A i j el n : 11 line T 1 ≡ (T 2 ≡ (| A i j el X k el (con^k 1 n sum : A i j el X k el ln (con^k 1 n sum : if if 21 line for for i 1 m range i 1 ≡ B i el Y k el k 1 n sum : B i el X k el (i 1 -^Y k el * k 1 n sum : if T 1 ≡ i 1 ≡ B i el Y k el ln k 1 n sum : B i el X k el (Y k el ln * k 1 n sum : if T 2 ≡ i 1 ≡ B i el Y k el ln k 1 n sum : B i el X k el ln Y k el ln * k 1 n sum : if cases for i 1 m range φ i el 1 : i 1 ≡ φ i el x (i 1 -^: cases for T 1 ≡ φ 1 el x : 11 line T 2 ≡ (T 3 ≡ (| cases β A 1 -^B * : ff 0 : i 1 m range ff ff β i el φ i el * + : for ff 31 line T 1 ≡ ff β 1 el exp β 2 el φ 1 el * exp * : T 2 ≡ ff β 1 el exp φ 1 el (β 2 el^* : T 3 ≡ cases ff 71 line :

Last Square Function

f( x )=f ( T , X , Y , Order)

| | | |__ Power

| | |__________ Y Data

| |_______________ X Data

|___________________ Type of

Adjustment

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T=1 Polynomic adjusment for Square Minimums method

T=3 Potential adjusment for Square Minimums method

Order= Power to which the function is rising.

Order=1 if T=2 or T=3

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015 0.5 11.8 1 8.5 1.5 5.3 22 2.5 1.3 - 3 4.5 - 3.5 7.8 - 411 - 5 17.5 - 624 - 7 30.5 - 837 - 9 43.5 - 1050 - 11 56.5 - 12 56.5 - 13 56.5 - 14 56.5 - 15 56.5 - 2046 - 3038 - 405 - 5016020 - 10064 - 200 52.2 - 300 95.3 - 400 97.3 - 500 97.7 - 302 mat

Data_T_A_Air

Data_T_A_Air 0 288.15 500 284.95 1000 281.65 1500 278.45 2000 275.15 2500 271.85 3000 268.65 3500 265.35 4000 262.15 5000 255.65 6000 249.15 7000 242.65 8000 236.15 9000 229.65 10000 223.15 11000 216.65 12000 216.65 13000 216.65 14000 216.65 15000 216.65 20000 227.15 30000 235.15 40000 268.15 50000 274.15 60000 253.15 100000 209.15 200000 220.95 300000 177.85 400000 175.85 500000 175.45 302 mat :

Data_T_A_Air 0 293.15 10000 218.15 20000 223.15 30000 228.15 38000 233.15 40000 248.15 46000 273.15 50000 293.15 60000 288.15 63000 284.15 72000 189.15 80000 190.15 90000 203.15 95000 214.45 100000 228.15 110000 253.15 120000 258.15 172 mat :

Data_T_A_Air rows 30

Data_T_A_Air Data_T_A_Air 128 range 12 range el :

X Data_T_A_Air 1 col : Y Data_T_A_Air 2 col : 12 mat

XY X Y augment :

T_VS_ALT XY o 5 black plot :

T 1 :

Order 4 :

x Temp T X Y Order f :

Polynomic

Carlos Polynomic °C compensation vs altitude temperature gradient x Temp 72362378628376000273699579663723 / 631723891058305304482324478170000 / - (x 21 -^* + 82225252674564922481312381605800000000 / x 31 -^* + 5892626672977412838441814280840000000000000 / - (x 41 -^* + 319925103156301909200614204549000000000000000000 / x 51 -^* +

T_VS_ALT x Temp 2 1 sys Image Barometric

data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 13 mat for data r3 r4 r5 augment 21 line :

Polynomic Temp(h)

Carlos Polynomic °C compensation vs temperature gradient h Temp 72362378628376000273699579663723 / 631723891058305304482324478170000 / - (h 21 -^* + 82225252674564922481312381605800000000 / h 31 -^* + 5892626672977412838441814280840000000000000 / - (h 41 -^* + 319925103156301909200614204549000000000000000000 / h 51 -^* + :

4 appVersion 0.98.6179.21440

Barometric Formula h P.h P.0 e m g * h * k h Temp * / -^* mmHg * :

P.0 760 : g 9.807 : k 1.381 1023 -^* : m 4.81556658 1026 -^* : mmHg 0.133322 kPa * ≡ 51 sys

NASA 060000 0.5 35462130747 2.1 26217 3.6 22781 5.6 19921 9.7 16453 14.7 13766 22.3 11115 32.4 8654 50.2 5563 75.5 2423 101.325 0132 mat :

Poly 060000 0.5 35462130747 2.1 26217 3.6 22781 5.6 19921 9.6 16453 14.5 13766 21.6 11115 30.9 8654 47.9 5563 73.6 2423 101.3 0132 mat :

x 0600001000 range :

i 1 x length range P i el x i el P.h mmHg / 0.133322 * : 11 line for

altitude P x augment : support NASA o 5 black plot : Poly Poly . 14 blue plot : 31 sys

support altitude Poly 3 1 sys

Carlos Barometric Formula . . .

based on Polynomic °K gradient compensation

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alt[m] kPa ΔkPa 600000035462 0.5 0307471026217 2.1 022781 3.6 019921 5.6 016453 9.7 0.1 13766 14.7 0.2 11115 22.3 0.7 8654 32.4 1.5 5563 50.2 2.3 2423 75.5 1.9 0 101.325 0143 mat

Absolute  residuals wrt NASA data δ Δ 0 : X NASA 2 col : Y NASA 1 col : 12 mat j 1 NASA rows range Δ j el Y j el X j el P.h mmHg / 0.133322 * - : for X Y Δ 2 round vectorize augment 41 line :

δ 600000 0.01 - 35462 0.5 0307471 0.04 - 26217 2.1 0.01 - 22781 3.6 0.02 - 19921 5.6 0.05 - 16453 9.7 0.05 13766 14.7 0.19 11115 22.3 0.75 8654 32.4 1.52 5563 50.2 2.3 2423 75.5 1.87 0 101.325 0133 mat

kPa 1 :

0 P.h 0.133322 * mmHg / kPa 101.325

kPa Polynomic

kPaPolynomic 60000 P.h 0.133322 * mmHg / 35462 P.h 0.133322 * mmHg / 30747 P.h 0.133322 * mmHg / 26217 P.h 0.133322 * mmHg / 22781 P.h 0.133322 * mmHg / 19921 P.h 0.133322 * mmHg / 16453 P.h 0.133322 * mmHg / 13766 P.h 0.133322 * mmHg / 11115 P.h 0.133322 * mmHg / 8654 P.h 0.133322 * mmHg / 5563 P.h 0.133322 * mmHg / 02423 P.h 0.133322 * mmHg / 0 P.h 0.133322 * mmHg / 131 mat : 0 0.5 1 2.1 3.6 5.6 9.6 14.5 21.6 30.9 47.9 73.6 101.3 131 mat

β 16702.7193446 - 124.751615769 208.000512345 - 16.7911347830 - 0.0495425422188 - 8.76777990888 - 1.33046986462 - 4191546.15004 4221.26725909 5327.77204957 1.34644054551 4.17574113874 0.274345957759 131 mat :

test 6000035462307472621722781199211645313766111158654556324230131 mat :

Exact altitude [m] from measured kPa @ NASA test points x km β 1 el β 8 el x β 2 el + β 9 el x β 3 el + β 10 el x β 4 el + β 11 el x β 5 el + β 12 el x β 6 el + β 13 el x β 7 el + / - / - / - / - / - / + :

Deviation [m] Polynomic vs NASA Δm 1 :

kPaPolynomic km vectorize test - Δm 2488 - 36238 - 29 - 29 - 57 - 43822193253442000131 mat