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Error by ODEs solution - Help please
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Offline OchkovVF  
#21 Posted : 18 December 2023 19:34:40(UTC)
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Originally Posted by: OchkovVF Go to Quoted Post
Razonar
Hi Valery. Sure. It will be a great experience.

Best regards.
Alvaro.

[/quote wrote:


Thanks, Alvaro!
My email OchkovVF@mpei.ru


Alvaro!
I am waiting for your email!
Send me one letter!
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Offline OchkovVF  
#22 Posted : 18 December 2023 19:42:28(UTC)
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Originally Posted by: Razonar Go to Quoted Post
3 stages variation.

Checking with Tsiolkovsky rocket equation in a gravitational field with several stages
Alvaro.

There is such a Meshchersky equation. In the West it is called differently.

Уравнение Мещерского
Meshcherskijj.png
В отношении И.В. Мещерского память потомков совершила вопиющую несправедливость. Дифференциальное уравнение движения тела переменной массы, которое И.В. Мещерский вывел и опубликовал ещё в 1897 году, спустя 31 год (!) было (по незнанию трудов Мещерского) заново выведено итальянским математиком Туллио Леви-Чивита. К сожалению, как это уже не раз бывало, о русском первооткрывателе на Западе забыли, и это уравнение стали называть "уравнением Леви-Чивита". (https://borisgen.livejournal.com/22811.html)

Edited by user 18 December 2023 19:47:25(UTC)  | Reason: Not specified
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Offline OchkovVF  
#23 Posted : 19 December 2023 21:30:51(UTC)
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New versions
Polet na Lunu.docx (497kb) downloaded 1 time(s).
Rakete-1.sm (18kb) downloaded 1 time(s).
Rakete-2.sm (18kb) downloaded 2 time(s).
Rocket-1.png
Rocket-2.png

Edited by user 20 December 2023 03:44:27(UTC)  | Reason: Not specified
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Offline OchkovVF  
#24 Posted : 22 December 2023 19:21:28(UTC)
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Originally Posted by: OchkovVF Go to Quoted Post
New versions
Polet na Lunu.docx (497kb) downloaded 1 time(s).
Rakete-1.sm (18kb) downloaded 1 time(s).
Rakete-2.sm (18kb) downloaded 2 time(s).
Rocket-1.png
Rocket-2.png
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Offline OchkovVF  
#25 Posted : 22 December 2023 19:24:37(UTC)
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Old good Euler. With units.
Rakete-2-RK-E.png
Rakete-2-RK-E.sm (28kb) downloaded 4 time(s).
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thanks 1 user thanked OchkovVF for this useful post.
on 23/12/2023(UTC)
Offline mkraska  
#26 Posted : 23 December 2023 07:11:01(UTC)
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Three examples: the napkin calculation of "Nine Days of One Year", a single-stage and a two-stage rocket with parameters such that humans could survive the flight (limited acceleration).
The first section of the pdf is based on Valery's text posted earlier. It also includes some tasks for the reader.

Rakete.sm (24kb) downloaded 1 time(s).
Rakete2.sm (25kb) downloaded 3 time(s).
Serviette.sm (10kb) downloaded 2 time(s).
Rocket.pdf (422kb) downloaded 3 time(s).
Martin Kraska

Pre-configured portable distribution of SMath Studio: https://smath.com/wiki/SMath_with_Plugins.ashx
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Offline OchkovVF  
#27 Posted : 23 December 2023 10:46:41(UTC)
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m2.png
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Offline mkraska  
#28 Posted : 23 December 2023 12:16:12(UTC)
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Whether m(t) is P or P+m[2 after engine cut-off depends on whether you get rid of the structure of the second stage or not. As long as we don't consider any subsequent maneuvers, the difference has no influence. If you do nothing, then payload and empty second stage will orbit side by side, separated or not.
Martin Kraska

Pre-configured portable distribution of SMath Studio: https://smath.com/wiki/SMath_with_Plugins.ashx
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Offline OchkovVF  
#29 Posted : 23 December 2023 21:03:09(UTC)
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Originally Posted by: mkraska Go to Quoted Post
Whether m(t) is P or P+m[2 after engine cut-off depends on whether you get rid of the structure of the second stage or not. As long as we don't consider any subsequent maneuvers, the difference has no influence. If you do nothing, then payload and empty second stage will orbit side by side, separated or not.


In Russia we say - punctual as a German!
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