fae2e529-fdd0-4f48-8b28-a6592d0d249a 13 9 12 decimal

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

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 :

Explain this document . . . [m] altitude vs measured [kPa]

1. If you have interest in knowing kPa vs altitude [m]. . . use NASA(h)

2. DO NOT use uncompensated P(h)

- - - - - - - - - - - - - - - - - - - - - - - - - -

3. This project is the inverse of Barometric, i.e: Altimetric [m vs kPa]

4. NASA(h) is not analyticaly inversible, it is solvable recursively, from

which solver we have extracted some U reference points.

5. The Barometric P(h) is analytically inversible, thus solvable for the

compensation parameter 'u'.

6. The final m(kPa) is the altitude [m] vs measured kPa.

]]>

Atmospheric kPa <= m ...dressed as given ... h NASA 101.29 288.14 0.00649 h * - 288.08 / (5.256^* 1000 - h ≤ (h 11000 ≤ (& 22.65 1.73 0.000157 h * - exp * 11000 h ≤ (h 25000 ≤ (& 2.488 141.89 0.00299 h * + 216.6 / (11.388 -^* cases :

U 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 :

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

Uncompensated Barometric Formula  
wrt altitude [km] h u P.h P.0 e m g * h * k u * / -^* 0.133322 * :

y h u P.h ≡ h solve maple 6905000000000012500 y * 1266559 / ln * u * 2361313072503 / -

Recast the InverseFunction x u m 6905000000000012500 x * 1266559 / ln * u * 2361313072503 / - :

Solve for 'u' the compensation parameter solve x U 1 col : ω U 2 col : 12 mat j 2 U rows 1 - (range sol j 1 - el x j el u m ω j el - 0 ≡ u 0500 solve : X j 1 - el x j el : 21 line for balistic 101.325 29012 mat : X sol 3 round vectorize augment balistic stack 41 line :

Parametric Barometric compensation x f β 1 el β 2 el x β 3 el / - exp * + β 4 el x β 5 el / - exp * + :

β 306.436 2.71 - 1.447 77.411 - 65.532 51 mat :

solve 0.5 228.317 1 227.671 2.1 231.284 3.6 233.429 5.6 235.271 9.7 239.811 14.7 243.855 22.3 251.1 32.4 259.559 50.2 270.874 75.5 281.646 101.325 290122 mat

x c 10 x ≤ (x 101.325 ≤ (& cases :

compensated [m] altitude vs input [kPa] x m 6905000000000012500 x * 1266559 / ln * x f * 2361313072503 / - :

kPa solve 1 col :

sanity i 2 U rows range Δ i el U 1 col i el m U 2 col i el - : for N U Δ 0 round vectorize augment (: N N 213 range 13 range el : 31 line :

sanity 0.5 3546297 - 130747158 2.1 2621751 - 3.6 2278148 - 5.6 199213 9.7 1645310 - 14.7 1376641 22.3 1111511 32.4 865411 - 50.2 55639 - 75.5 24233 101.325 00123 mat

kPa m vectorize 35365309052616622733199241644313807111268643555424260121 mat

sanity 3 col Mean 0.8 -

x λ 1 0.125 x ≤ (x 101.325 ≤ (& cases :

U o 5 black plot x m x λ * 2 1 sys

The compensation function

solve o 5 black plot x f x c * 2 1 sys

Altimetric formula . . .

[m] altitude vs measured [kPa] ~ ± 1 m

]]>