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 Jean Giraud #1 Posted : 07 June 2019 15:46:19(UTC) Rank: Advanced MemberGroups: Registered Joined: 04/07/2015(UTC)Posts: 4,584Was thanked: 778 time(s) in 618 post(s) The NASA(h) is recent to me.Curiously enough, they arrived at the same conclusion years ago:Theodore, Jean, [Ralph ?] that altitude is not homogeneousand represented by rational/expDecay/rational segments. In this document, we just trust NASA as an act of faith !To determine the altitude, kPa is the measured.You may probably use the static from the Pitot tube or elseaccurate barometric device... local barometric is headache.Given as is if any useful for your journey in air.Jean Inst_ISA [km_kPa] NASA airplane Copy.sm (139kb) downloaded 25 time(s).
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 CBG #2 Posted : 07 June 2019 22:45:10(UTC) Rank: Advanced MemberGroups: Registered Joined: 14/10/2015(UTC)Posts: 251Was thanked: 61 time(s) in 45 post(s) Hello Jean:The atmospheric conditions are very changeable, so it could be said that the data are only accurate at the time they are taken.The density of the air changes with the temperature, and the temperature changes with the altitude, then the barometric pressure also changes.There is a barometric formula to calculate the air pressure according to the altitude, to which I have included the temperature function according to the altitude to try to make the calculation more accurate. Barometrit_Formula_Aire_CBG.sm (424kb) downloaded 15 time(s).Best RegardsCarlos
 Jean Giraud #3 Posted : 08 June 2019 03:57:41(UTC) Rank: Advanced MemberGroups: Registered Joined: 04/07/2015(UTC)Posts: 4,584Was thanked: 778 time(s) in 618 post(s) Originally Posted by: CBG Hello Jean:The atmospheric conditions are very changeable, so it could be said thatthe data are only accurate at the time they are taken.The density of the air changes with the temperature, and thetemperature changes with the altitude, then the barometric pressure also changes.There is a barometric formula to calculate the air pressure according to thealtitude, to which I have included the temperature function accordingto the altitude to try to make the calculation more accurate.Thanks Carlos,Unfortunately, SS 6179 can't open the latest SS Beta you are using,can't read the temperature correction. Math 24 barometric is in factso much erroneous vs PDAS, NASA(h) it shouldn't be published as given.Jean
 CBG #4 Posted : 08 June 2019 16:44:47(UTC) Rank: Advanced MemberGroups: Registered Joined: 14/10/2015(UTC)Posts: 251Was thanked: 61 time(s) in 45 post(s) Hello Jean:I do not know why SS6179 transforms the units differently to SS7089 and gives slightly different results.Here you have the file in the SS6179 version. Barometric_Formula_Air_6179.sm (424kb) downloaded 15 time(s).Best RegardsCarlos
 Jean Giraud #5 Posted : 11 June 2019 04:03:20(UTC) Rank: Advanced MemberGroups: Registered Joined: 04/07/2015(UTC)Posts: 4,584Was thanked: 778 time(s) in 618 post(s) Originally Posted by: CBG Hello Jean:I do not know why SS6179 transforms the units differently to SS7089 and gives slightly different results.Here you have the file in the SS6179 version.Thanks Carlos for the SS6179 document.Polynomic is new to me, more applications expected.As applied to Barometric, the more abundant data set gives resultsvery close to NASA. The last step is the [m] altitude vs measured kPa.Something similar to the other document ... RemToDo.The P(h) has an inverse RootsOf, of no interest for minimal calculator.Cheers ... Jean Inst_ISA Barometric Formula [Carlos].sm (456kb) downloaded 20 time(s).
 Andrey Ivashov #6 Posted : 11 June 2019 13:57:54(UTC) Rank: AdministrationGroups: Developers, Registered, Knovel Developers, Administrators, Advanced MemberJoined: 11/07/2008(UTC)Posts: 1,388Was thanked: 1624 time(s) in 545 post(s) Hello Carlos.Originally Posted by: CBG I do not know why SS6179 transforms the units differently to SS7089 and gives slightly different results.Latest beta-versions of SMath Studio have huge improvements regarding accuracy, calculation performance and worksheet rendering performance. This is because currently I'm participating in a project where IAPWS equations is used and it was observed that all previous versions of SMath Studio had problems with accuracy. After reworking core of calculation engines it was observed that calculation speed became worse, so I have started work to improve performance in high accuracy calculations.As for now SMath Studio became much more usable in both: accuracy and speed points of view (+ new rendering engine is here) and I'm doing latest preparations to release new stable build.We are now much more close to ver. 1.0 Best regards. 2 users thanked Andrey Ivashov for this useful post. on 11/06/2019(UTC),  on 11/06/2019(UTC)
 PompelmoTell #7 Posted : 11 June 2019 16:12:00(UTC) Rank: Advanced MemberGroups: Registered Joined: 23/12/2011(UTC)Posts: 200Location: italyWas thanked: 73 time(s) in 61 post(s) Andrey,I believe that these considerations merit a more visible position in the forum sergio 1 user thanked PompelmoTell for this useful post. on 11/06/2019(UTC)
 CBG #8 Posted : 12 June 2019 17:36:28(UTC) Rank: Advanced MemberGroups: Registered Joined: 14/10/2015(UTC)Posts: 251Was thanked: 61 time(s) in 45 post(s) Hello AndreyOriginally Posted by: Andrey Ivashov Hello Carlos.Originally Posted by: CBG I do not know why SS6179 transforms the units differently to SS7089 and gives slightly different results.Latest beta-versions of SMath Studio have huge improvements regarding accuracy, calculation performance and worksheet rendering performance. This is because currently I'm participating in a project where IAPWS equations is used and it was observed that all previous versions of SMath Studio had problems with accuracy. After reworking core of calculation engines it was observed that calculation speed became worse, so I have started work to improve performance in high accuracy calculations.As for now SMath Studio became much more usable in both: accuracy and speed points of view (+ new rendering engine is here) and I'm doing latest preparations to release new stable build.We are now much more close to ver. 1.0 Best regards.Thank you Andrey for your extensive explanation, and we would like to make it a substantial improvement to your excellent Software.Best RegardsCarlos
 CBG #9 Posted : 12 June 2019 18:28:03(UTC) Rank: Advanced MemberGroups: Registered Joined: 14/10/2015(UTC)Posts: 251Was thanked: 61 time(s) in 45 post(s) Hello JeanOriginally Posted by: Jean Giraud Thanks Carlos for the SS6179 document.Polynomic is new to me, more applications expected.As applied to Barometric, the more abundant data set gives resultsvery close to NASA. The last step is the [m] altitude vs measured kPa.Something similar to the other document ... RemToDo.The P(h) has an inverse RootsOf, of no interest for minimal calculator.Cheers ... JeanThank you very much for your excellent work.I have tried to calculate the temperature used or measured in the NASA data, isolating the temperature variable from the barometric formula.I hope you find a better approach NASA_Invert_SS6179.sm (58kb) downloaded 14 time(s).Thank youBest RegardsCarlos
 Jean Giraud #10 Posted : 13 June 2019 05:41:04(UTC) Rank: Advanced MemberGroups: Registered Joined: 04/07/2015(UTC)Posts: 4,584Was thanked: 778 time(s) in 618 post(s) Originally Posted by: CBG I hope you find a better approach... Here is Carlos . . . an un-ambiguous altimetric formula.1. NASA solved for well distributed points2. The inverse Barometric solved for the the compensation parameter.3. Final altimetric at least up to 40 km4. Accuracy depends upon NASA itself and kPa resolutionWill read your latest attachment ... Jean Inst_ISA Altimetric Formula Copy.sm (33kb) downloaded 12 time(s).
 Jean Giraud #11 Posted : 15 June 2019 01:46:37(UTC) Rank: Advanced MemberGroups: Registered Joined: 04/07/2015(UTC)Posts: 4,584Was thanked: 778 time(s) in 618 post(s) The Altimetric session ends here for quite a while unless more revelation.Formula page 7/7 ... auto-compensated on actual/local ISO [101.325 kPa].The mutual conformity wrt solved NASA(h) is stricking of realism.Comments/suggestions ... welcome.Jean Inst_ISA Altimetric Formula Copy.sm (132kb) downloaded 10 time(s).
 CBG #12 Posted : 15 June 2019 06:18:10(UTC) Rank: Advanced MemberGroups: Registered Joined: 14/10/2015(UTC)Posts: 251Was thanked: 61 time(s) in 45 post(s) Hello JeanOriginally Posted by: Jean Giraud The Altimetric session ends here for quite a while unless more revelation.Formula page 7/7 ... auto-compensated on actual/local ISO [101.325 kPa].The mutual conformity wrt solved NASA(h) is stricking of realism.Comments/suggestions ... welcome.JeanThe Altimetric session still has a little more chapter, since the Barometric Formula can be adjusted for the variable of gravity Inst_ISA Altimetric Formula Gravity.sm (228kb) downloaded 16 time(s).Best RegardsCarlos
 Jean Giraud #13 Posted : 15 June 2019 16:48:30(UTC) Rank: Advanced MemberGroups: Registered Joined: 04/07/2015(UTC)Posts: 4,584Was thanked: 778 time(s) in 618 post(s) Originally Posted by: CBG The Altimetric session still has a little more chapter, since the Barometric Formula can be adjusted for the variable of gravityI'm still with you Carlos ... next few days.Just discovered problem with solve(,,,,) from which altimetric is constructed.In the long range solutions from which the selected support points,solutions are irregularly accurate compared to Mathcad seeded root scanner TOL e-6This explains the observed irregular residuals.And now, you are putting Gravity ... Oh ! ... see you, Jean.
 Jean Giraud #14 Posted : 18 June 2019 05:55:49(UTC) Rank: Advanced MemberGroups: Registered Joined: 04/07/2015(UTC)Posts: 4,584Was thanked: 778 time(s) in 618 post(s) ... last brick in the wall.1. NASA(h) Barometric ... kPa given altitude (h)4. Nasa(p) Altimetric ... altitude (h) given kPa................sections [2, 3] not needed for publishingthough guide line for discrete solve.Just need the dual formulas [image below] Inst_ISA Barometric_Altimetric Companion.sm (92kb) downloaded 15 time(s).
 Jean Giraud #15 Posted : 20 June 2019 16:43:03(UTC) Rank: Advanced MemberGroups: Registered Joined: 04/07/2015(UTC)Posts: 4,584Was thanked: 778 time(s) in 618 post(s) Originally Posted by: Jean Giraud ... last brick in the wall.... one more brick in the wall !1. Cold airport °C landing altitude correction added2. Spline TableIII added [observe typo in the published document] Inst_ISA Barometric_Altimetric Companion.sm (543kb) downloaded 15 time(s).
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