ALL JUPITER'S MOON size Comparison 🌑
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- Опубліковано 4 жов 2022
- There are currently 80 known moons of Jupiter, besides the 4 Galilean moons there are many smaller ones of all sizes and shapes. In this video we compare all of them in New York City.
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A Stranger Thing - Bruno E.
Whirlpool - Density & Time
📝SOURCES: en.wikipedia.org/wiki/Moons_o... - Фільми й анімація
Good quality poster with all moons available! metaballstudios.creator-spring.com/listing/moons-solarsystem
Share, comment, subscribe if you liked it!
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Póster de buena calidad con todas las lunas disponibles: metaballstudios.creator-spring.com/listing/moons-solarsystem
¡Comparte, comenta, suscríbete si te ha gustado!
Prehistoric animals size comparison? I have lots of info that could help with that
You call that useless dust real moons? It's ridiculous.
@@nicherix
I can see how nerds working the telescopes want to name each of those rocks (for bragging rights). I can't believe their society accepted the names, and how do they track them? Keep in mind nobody have ever seen those rocks. It's all based on tiny specs of lights in a telescope. LOL
The jump from Amalthea to Europa is wild: I guess there must be some reason why there’s nothing in the sizes in between
@@stevetayler9518 Well, the quick answer would be: it's because over time, most of the smaller asteroids started clumping together, and eventually formed the larger satellites which in turn had an even greater gravitational effect on the nearby smaller asteroids. Most of the orbital mass coalesced into the four gallilean moons that way.
I'm sure you can find way better explanations around here, though :D
I loved that ending zoom showing everything from the ground, hope to see that more often, gives it a nice sense of scale!
@Don't read profile photo I just made a poopy 💩
I strongly agree!
Sure does!
Yeah..! Me too...!
yes, definitely the new perspective
That ending was awesome. I absolutely love the "look up at the massive thing" POV. Should absolutely do that with some more fantasy stuff!
Do that in VR, with a game like Elite Dangerous you will shit your pants.
The three most mind blowing things to my foelrmative mind , all experienced at around 4 yrs was looking up the Washington monument when I'd never seen a building more than a few stories prior, a helium balloon and metallic mercury
@@edwardjam9832 giant objects like that have always been a fear of mine for some reason and i don't want to experience it irl
@@alexk9642 yeah, freaks me out.
Wow, that was a surprising jump between the smaller moons and the Galilean moons! Great video!
Those jumps actually scares me a few time. This man knows how to film!
3:11 I love how a plane is flying in the sky like “This is just another MBS video”
None of us can really appreciate the attention to detail that this man puts into his videos. The production value, the perfect replication of the objects and their relative size, the zooming in and out to get a feel of the mass of the objects, the placing of the objects over New York City and the Earth to gauge the size of each object requires an enormous amount of skill and patience which I have not seen on any other channel at this level. This man deserves to have a career in the movie business at the highest level of CGI animation if he doesn't already have that.
I totally agree. This channel is a huge gem, and it's amazing to me that there never seems to be a drop in production quality. He always delivers. Can't say that for many channels on UA-cam
Considering how terribly CGI animators are treated in the movie business, I'd say he's probably best off staying a UA-camr with a loving fanbase and freedom to make what he wants, how he wants.
NASA Facts: Secret NASA documents reveal the real shape of the Earth!
1 - LOCKHEED SR-71 BLACKBIRD: Technical Memorandum 104330: Predicted Performance of a Thrust Enhanced SR-71 Aircraft with an External Payload:
Page 08: DIGITAL PERFORMANCE SIMULATION DESCRIPTION: The DPS equations of motion use four assumptions that simplify the program while maintaining its fidelity for most maneuvers and applications: point-mass modeling, nonturbulent atmosphere, zero side forces, and a “nonrotating Earth”.
2 - NASA Reference Publication 1207: Derivation and Definition of a Linear Aircraft Model: 08/1988:
2.1 Page 02: SUMMARY: This report documents the derivation and definition of a linear aircraft model for a rigid aircraft of constant mass flying over a “fiat and nonrotating Earth”.
2.2 Page 30: 3 CONCLUDING REMARKS: This report derives and defines a set oflinearized system matrices for a rigid aircraft of constant mass, flying in a stationary atmosphere over a “flat and nonrotating Earth”.
2.3 Page 102: 16. Abstract: This report documents the derivation and definition of a linear aircraft model for a rigid aircraft of constant mass flying over a “flat and nonrotating Earth”.
3 - NASA General Equations of Motion for a Damaged Asymmetric Aircraft:
Page 02: Rigid Body Equations of Motion Referenced to an Arbitrary Fixed Point on the Body There are several approaches that can be used to develop the general equations of motion. The one selected here starts with Newton’s laws applied to a collection of particles defining the rigid body (any number of dynamics or physics books can serve as references, e.g. reference 2). In this paper, the rigid body equations of motion over a “flat non-rotating Earth” are developed that are not necessarily referenced to the body’s center of mass.
4 - NASA: A METHOD FOR REDUCING THE SENSITIVITY OF OPTIMAL NONLINEAR SYSTEMS TO PARAMETER UNCERTAINTY: NATIONAL AERONAUTICS AND SPACE ADMINISTRATION WASHINGTON, D. C. JUNE 1971:
Page 12: A NUMERICAL EXAMPLE: Problem Statement: The example problem is a fixed-time problem in which it is required to determine the thrust-attitude program of a single-stage rocket vehicle starting from rest and going to specified terminal conditions of altitude and vertical velocity which will maximize the final horizontal velocity. The idealizing assumptions made are the following:
(1) A point-mass vehicle
(2) A “flat, nonrotating Earth”
5 - NASA Technical Paper Nº 2835 1988: User’s Manual for Interactive LINEAR, a FORTRAN Program To Derive Linear Aircraft Models.
5.1 Page 01: SUMMARY: The nonlinear equations of motion used are six-degree-of-freedom equations with stationary atmosphere and “flat and nonrotating Earth” assumptions.
5.2 Page 126: 6. Abstract: The nonlinear equations of motion used are six-degree-of-freedom equations sith stationary atmosphere and “flat and nonrotating Earth” assumptions.
@@stephen-torrence a UA-cam fan base doesn't guarantee you a good living wage. He's not at the level yet where he can make decent money on UA-cam. In Hollywood he would command six figures plus and upwards. My guess is that UA-cam is a part-time thing for him with his skill level.
Reminder: Don't leave Jupiter's moons lying around the city after you're done playing with them.
Clean up your mess and put them back where they properly belong. -_-
I'm amazed at the sheer patience this man must have, to painstakingly model amorphous shapes covered with craters. That HAS to be finicky, time-consuming work.
This is a fantastic video! It’s so cool to see all their sizes lined up so we can get a good perspective - and then the four main giant moons at the end! Wow! Great job
NASA Facts: Secret NASA documents reveal the real shape of the Earth!
1 - LOCKHEED SR-71 BLACKBIRD: Technical Memorandum 104330: Predicted Performance of a Thrust Enhanced SR-71 Aircraft with an External Payload:
Page 08: DIGITAL PERFORMANCE SIMULATION DESCRIPTION: The DPS equations of motion use four assumptions that simplify the program while maintaining its fidelity for most maneuvers and applications: point-mass modeling, nonturbulent atmosphere, zero side forces, and a “nonrotating Earth”.
2 - NASA Reference Publication 1207: Derivation and Definition of a Linear Aircraft Model: 08/1988:
2.1 Page 02: SUMMARY: This report documents the derivation and definition of a linear aircraft model for a rigid aircraft of constant mass flying over a “fiat and nonrotating Earth”.
2.2 Page 30: 3 CONCLUDING REMARKS: This report derives and defines a set oflinearized system matrices for a rigid aircraft of constant mass, flying in a stationary atmosphere over a “flat and nonrotating Earth”.
2.3 Page 102: 16. Abstract: This report documents the derivation and definition of a linear aircraft model for a rigid aircraft of constant mass flying over a “flat and nonrotating Earth”.
3 - NASA General Equations of Motion for a Damaged Asymmetric Aircraft:
Page 02: Rigid Body Equations of Motion Referenced to an Arbitrary Fixed Point on the Body There are several approaches that can be used to develop the general equations of motion. The one selected here starts with Newton’s laws applied to a collection of particles defining the rigid body (any number of dynamics or physics books can serve as references, e.g. reference 2). In this paper, the rigid body equations of motion over a “flat non-rotating Earth” are developed that are not necessarily referenced to the body’s center of mass.
4 - NASA: A METHOD FOR REDUCING THE SENSITIVITY OF OPTIMAL NONLINEAR SYSTEMS TO PARAMETER UNCERTAINTY: NATIONAL AERONAUTICS AND SPACE ADMINISTRATION WASHINGTON, D. C. JUNE 1971:
Page 12: A NUMERICAL EXAMPLE: Problem Statement: The example problem is a fixed-time problem in which it is required to determine the thrust-attitude program of a single-stage rocket vehicle starting from rest and going to specified terminal conditions of altitude and vertical velocity which will maximize the final horizontal velocity. The idealizing assumptions made are the following:
(1) A point-mass vehicle
(2) A “flat, nonrotating Earth”
5 - NASA Technical Paper Nº 2835 1988: User’s Manual for Interactive LINEAR, a FORTRAN Program To Derive Linear Aircraft Models.
5.1 Page 01: SUMMARY: The nonlinear equations of motion used are six-degree-of-freedom equations with stationary atmosphere and “flat and nonrotating Earth” assumptions.
5.2 Page 126: 6. Abstract: The nonlinear equations of motion used are six-degree-of-freedom equations sith stationary atmosphere and “flat and nonrotating Earth” assumptions.
Brilliant! The finale was amazing and now I wish you would show the same from ground camera perspective
NASA Facts: Secret NASA documents reveal the real shape of the Earth!
1 - LOCKHEED SR-71 BLACKBIRD: Technical Memorandum 104330: Predicted Performance of a Thrust Enhanced SR-71 Aircraft with an External Payload:
Page 08: DIGITAL PERFORMANCE SIMULATION DESCRIPTION: The DPS equations of motion use four assumptions that simplify the program while maintaining its fidelity for most maneuvers and applications: point-mass modeling, nonturbulent atmosphere, zero side forces, and a “nonrotating Earth”.
2 - NASA Reference Publication 1207: Derivation and Definition of a Linear Aircraft Model: 08/1988:
2.1 Page 02: SUMMARY: This report documents the derivation and definition of a linear aircraft model for a rigid aircraft of constant mass flying over a “fiat and nonrotating Earth”.
2.2 Page 30: 3 CONCLUDING REMARKS: This report derives and defines a set oflinearized system matrices for a rigid aircraft of constant mass, flying in a stationary atmosphere over a “flat and nonrotating Earth”.
2.3 Page 102: 16. Abstract: This report documents the derivation and definition of a linear aircraft model for a rigid aircraft of constant mass flying over a “flat and nonrotating Earth”.
3 - NASA General Equations of Motion for a Damaged Asymmetric Aircraft:
Page 02: Rigid Body Equations of Motion Referenced to an Arbitrary Fixed Point on the Body There are several approaches that can be used to develop the general equations of motion. The one selected here starts with Newton’s laws applied to a collection of particles defining the rigid body (any number of dynamics or physics books can serve as references, e.g. reference 2). In this paper, the rigid body equations of motion over a “flat non-rotating Earth” are developed that are not necessarily referenced to the body’s center of mass.
4 - NASA: A METHOD FOR REDUCING THE SENSITIVITY OF OPTIMAL NONLINEAR SYSTEMS TO PARAMETER UNCERTAINTY: NATIONAL AERONAUTICS AND SPACE ADMINISTRATION WASHINGTON, D. C. JUNE 1971:
Page 12: A NUMERICAL EXAMPLE: Problem Statement: The example problem is a fixed-time problem in which it is required to determine the thrust-attitude program of a single-stage rocket vehicle starting from rest and going to specified terminal conditions of altitude and vertical velocity which will maximize the final horizontal velocity. The idealizing assumptions made are the following:
(1) A point-mass vehicle
(2) A “flat, nonrotating Earth”
5 - NASA Technical Paper Nº 2835 1988: User’s Manual for Interactive LINEAR, a FORTRAN Program To Derive Linear Aircraft Models.
5.1 Page 01: SUMMARY: The nonlinear equations of motion used are six-degree-of-freedom equations with stationary atmosphere and “flat and nonrotating Earth” assumptions.
5.2 Page 126: 6. Abstract: The nonlinear equations of motion used are six-degree-of-freedom equations sith stationary atmosphere and “flat and nonrotating Earth” assumptions.
That ending was really cool, the way you showed what these moons would look like from the ground perspective. I'd love to see that everytime 🤘
It's like a planetary geology analogy of grain sizes from (smallest to largest) clay, silt, sand, granule, pebble, cobble, and boulder. I recognized Amalthea from the red color and knew the Galilean moons were next, so boom! Europa's curved limb came into view.
I had no idea the other moons were so tiny till I saw this vid. Also that ground view was phenomenal!
And Ganymede is so huge. Actually weights twice as much as our moon.
I learned from this video that jupiter only has 4 relevant moons, the rest are just space rocks
Your videos keep getting better. The zoom and look from the earth at the end was amazing!
The fact that even Jupiter’s smallest moons can still wipe out a city on earth is terrifying.
Jupiter has cities?
@@johnm1008 i meant cities on earth
@@johnm1008 yeah i'm on one rn
Not to brag but I live in a city on earth 🌎😎
The street level view just blown my mind. Amazing idea!!
3:02 espectacular el trabajo de edición para brindar una perspectiva desde el suelo, maravilloso trabajo
2:17 well that was a huge jump
Really liked the ending perspective!
Suggestion for next video: Space Station size comparison? Like the ones in real life and in fiction, the ones being planned in the future, and the ideas of ones that got scrapped. I love your videos.
That was done so well. Thank you for all of the controls to help my mind wrap around the size.
Really digging the music on this one.
Like others have said, that ending shot is amazing. I hope to see more like it in future videos.
Cheers!
Adrastea is about the size of the chicxulub impactor that killed the dinosaurs.
oh thank you. And that´s one of the smaller ones 😱
The Chicxulub Impactor is estimated to have been around 6 miles in diameter, or 9.65606 kilometers, which is almost exactly the same size as Callirrhoe, which can be seen at the 1:02 mark.
@@anjachan If it's one of the Galilean moons, we'd no longer have an earth that we know of.
Another certified hood classic
Indeed😎
@@EnigmatiK_SportS - *Rock with ya boy!*
IDIOT
@@EnigmatiK_SportS IDIOT
@@katrinahampton2504 -katrina hampton • 56 minutes ago
@Kevin Dladla IDIOT
The ending view is awesome! Keep it in another videos!
Great stuff, loved the ending shot!
Hope to see Saterns moons next :D
Thank you man! Watching you for a bit, and I have to say you were right - this idea and execution is much better. Please, keep on doing your thang, this is great, and definitely the right direction! : )
What a fantastic comparison video. The pan, tilt and zoom to always keep New York in focus helps so much; incredible work.
Just for the record, the asteroid that wiped out the dinosaurs would be somewhere between the size of Callirrhoe and Adrastea. That's scary!
1:13
Thank you for your work.
Your videos are instructive and hilarious.
The ending was absolutely fantastic! As always, amazing video. Thank you.
this is another cool comparison video from you! thank you for making this awesome video! and i love POV from the ground too ❤️
Excelente trabajo como siempre! El final está espectacular 👍👏
*Your comparisons always gives us the perfect imagination that's seems literally impossible*
top video as always! coolest part was zooming in and looking up! cheers!!
All the videos you bring are great💥✨
Thanks for that😃
Io is roughly the same size as our Moon (3,474.8 km) so 2:44 is a great way to compare it to Earth too
Ío es ligeramente mas grande que la Luna
excelente video, cómo siempre!
I love this comparisons, great job!
Loved the upwards view at the end. It really puts us in perspective.
That was great! It's amazing how many moons Jupiter has even though most are very small.
Great video as always and I LOVED the ending where you flew through the city and looked up at all of the items. Hope you continue doing stuff like that.
Amazing, the ending was an absolute treat. Thanks dude.
Man, your work is so amazing!
Como siempre. Dándonos una sonrisa. Grande Meta. 😎🤜🤛
I think you should do a landslide/mud flow/avalanche size comparison. I haven't seen anything like that on UA-cam yet.
absolutely amazing! Thank you!
that perspective shot at the end was magnificent. you really do great work.👍
2:28 Is that a hurricane over the Michigan\Wisconsin-Canada border?
0:50 nice
Nice
Nice
You guys are the best. There's a couple of channels like this but they fail incomparison. Plus, love the music!
Awesome. Loved the music and from the ground view at the end.
It's just mind-boggling that we even know about the existence of the smallest moons. Yay NASA!!!!
That final look up was really cool. Id love to see that more often
The ending was kinda cool. I was not expecting that!
Zooming back in at the end was the best part. It's great to have that view on a bit of a real life scale. Nice touch!
Impresionante video Álvaro.
Me fascinan todos tus vídeos relacionados con el Universo
Gran video
Great video, like every time! Exceeded my expectations.😀
Beautifully put together. Very creative and reminder of how massive the Jupiter system is. Thank You.
This really helped educate me. Great job!
Excellent, loved the closing shot. Really enjoyed this one, thank you 👍🏻👍🏻
Very cool and supremely illustrative!
Beautifully done!
hey MetaBallStudios, love your videos ! it would be interesting to have a video about "digital data in scale", like: if 1 byte is 1 cm, how big is an average movie? an average song? a game, a book etc ?
Remember that SolarBalls video where Earth wanted to borrow a moon from Jupiter because Earth's moon was moving away, it seems it is happening :)
Great video, it puts everything in perspective.
Very solid animation at the end! Well done!!!
Lately Jupiter was closer than ever, and it still is really close. If you have a decent camera, telelens (I think 250-300 mm would already suffice! especially for crop sensor) and tripod, you can actually take a picture of Jupiter with all four Gallilean moons clearly visible! I did it myself a few days ago and was quite amazed by how well I could see the moons, it's magical :).
Go try it tonight if the weather is clear!
I’m glad you shared this! It is absolutely possible to see the Galilean moons from here, it is such a magical experience right?! So beautiful! Also if you’re ever curious which moons are which, there are websites online that show the exact placement that Jupiter and it’s moons are at right now. So you can even identify which ones you are seeing!! Have fun! Good luck with the weather! (It’s always a battle with astrophotography) 🌠
Would have liked to see Earth's Moon next to them for comparison.
Great video. Always wondered about their sizes.
About the same size as Europa
@@metyore8341 fun fact - it’s closer to io’s size :)
Diameter of Io is 3,643km, and our moon is 3,474 km. Europa is 3,121km. 🌠
Fantastic idea for a video! It's amazing, even with the Galileo and Juno missions, we've been able to find so many little captured-asteroid or captured-comet-chunko moons.
Now I kinda wanna see Pluto and friends.
The "look up" at the end was VERY well done!!
3:10 *Megalophobia intensifies*
Brilliant video metaballstudios you always make the best videos
Well done. That is some really nice animation with great production.
This is an amazing video it really puts things in perspective for me 👍🏼
That last animation was so beautiful. Well done
Awesome video MBS
LOVE the ending- the the music ! it just fits so well
Amazing work!
This, in particular, was an AWESOME size comparison. So cool with that zoom-in when dealing with this sort of scale. Bravo!
NASA Facts: Secret NASA documents reveal the real shape of the Earth!
1 - LOCKHEED SR-71 BLACKBIRD: Technical Memorandum 104330: Predicted Performance of a Thrust Enhanced SR-71 Aircraft with an External Payload:
Page 08: DIGITAL PERFORMANCE SIMULATION DESCRIPTION: The DPS equations of motion use four assumptions that simplify the program while maintaining its fidelity for most maneuvers and applications: point-mass modeling, nonturbulent atmosphere, zero side forces, and a “nonrotating Earth”.
2 - NASA Reference Publication 1207: Derivation and Definition of a Linear Aircraft Model: 08/1988:
2.1 Page 02: SUMMARY: This report documents the derivation and definition of a linear aircraft model for a rigid aircraft of constant mass flying over a “fiat and nonrotating Earth”.
2.2 Page 30: 3 CONCLUDING REMARKS: This report derives and defines a set oflinearized system matrices for a rigid aircraft of constant mass, flying in a stationary atmosphere over a “flat and nonrotating Earth”.
2.3 Page 102: 16. Abstract: This report documents the derivation and definition of a linear aircraft model for a rigid aircraft of constant mass flying over a “flat and nonrotating Earth”.
3 - NASA General Equations of Motion for a Damaged Asymmetric Aircraft:
Page 02: Rigid Body Equations of Motion Referenced to an Arbitrary Fixed Point on the Body There are several approaches that can be used to develop the general equations of motion. The one selected here starts with Newton’s laws applied to a collection of particles defining the rigid body (any number of dynamics or physics books can serve as references, e.g. reference 2). In this paper, the rigid body equations of motion over a “flat non-rotating Earth” are developed that are not necessarily referenced to the body’s center of mass.
4 - NASA: A METHOD FOR REDUCING THE SENSITIVITY OF OPTIMAL NONLINEAR SYSTEMS TO PARAMETER UNCERTAINTY: NATIONAL AERONAUTICS AND SPACE ADMINISTRATION WASHINGTON, D. C. JUNE 1971:
Page 12: A NUMERICAL EXAMPLE: Problem Statement: The example problem is a fixed-time problem in which it is required to determine the thrust-attitude program of a single-stage rocket vehicle starting from rest and going to specified terminal conditions of altitude and vertical velocity which will maximize the final horizontal velocity. The idealizing assumptions made are the following:
(1) A point-mass vehicle
(2) A “flat, nonrotating Earth”
5 - NASA Technical Paper Nº 2835 1988: User’s Manual for Interactive LINEAR, a FORTRAN Program To Derive Linear Aircraft Models.
5.1 Page 01: SUMMARY: The nonlinear equations of motion used are six-degree-of-freedom equations with stationary atmosphere and “flat and nonrotating Earth” assumptions.
5.2 Page 126: 6. Abstract: The nonlinear equations of motion used are six-degree-of-freedom equations sith stationary atmosphere and “flat and nonrotating Earth” assumptions.
Top notch as always 👌
Always fun to watch these.
Jupiter is my favourite planet and Io is my favourite moon, so when I saw this video I was so excited!! It was so cool to see all the different moons of Jupiter. I also loved the end so much to be able to look up at them too. It was beautiful. Amazing videos! 😊🎉
another very pretty video. thank you
This was AWESOME!
What a video! such fun two thumbs up!
Awesome video!!!
Great video! Suns sizes comparison would be great too!
Fantastic incredible video!! The only change I would of made is at the end when zooming out to show the whole Earth I would of continued zooming out until Jupiter was also compared to Earth's size and than I would of zoomed back in as the video does. Amazing video none the less!
Beautifully done.
Awesome, cool, beautiful and so much more. Thank you 👍
THAT was excellent...thank you.
this was awesome!
Great video. I can't believe someone went to the trouble of recording classifying and naming those pebbles!
The end was great 👍🏻 lovely perspective.
So eerie. Love it. 💞
Neat perspective!
The ending view was amazing
Your studio's particular spin on geography would be really great. Maybe already done? But, the silent comparison of nation/population sizes would take a lot of people by surprise - as most of your films do. Kudos to you all.
NASA Facts: Secret NASA documents reveal the real shape of the Earth!
1 - LOCKHEED SR-71 BLACKBIRD: Technical Memorandum 104330: Predicted Performance of a Thrust Enhanced SR-71 Aircraft with an External Payload:
Page 08: DIGITAL PERFORMANCE SIMULATION DESCRIPTION: The DPS equations of motion use four assumptions that simplify the program while maintaining its fidelity for most maneuvers and applications: point-mass modeling, nonturbulent atmosphere, zero side forces, and a “nonrotating Earth”.
2 - NASA Reference Publication 1207: Derivation and Definition of a Linear Aircraft Model: 08/1988:
2.1 Page 02: SUMMARY: This report documents the derivation and definition of a linear aircraft model for a rigid aircraft of constant mass flying over a “fiat and nonrotating Earth”.
2.2 Page 30: 3 CONCLUDING REMARKS: This report derives and defines a set oflinearized system matrices for a rigid aircraft of constant mass, flying in a stationary atmosphere over a “flat and nonrotating Earth”.
2.3 Page 102: 16. Abstract: This report documents the derivation and definition of a linear aircraft model for a rigid aircraft of constant mass flying over a “flat and nonrotating Earth”.
3 - NASA General Equations of Motion for a Damaged Asymmetric Aircraft:
Page 02: Rigid Body Equations of Motion Referenced to an Arbitrary Fixed Point on the Body There are several approaches that can be used to develop the general equations of motion. The one selected here starts with Newton’s laws applied to a collection of particles defining the rigid body (any number of dynamics or physics books can serve as references, e.g. reference 2). In this paper, the rigid body equations of motion over a “flat non-rotating Earth” are developed that are not necessarily referenced to the body’s center of mass.
4 - NASA: A METHOD FOR REDUCING THE SENSITIVITY OF OPTIMAL NONLINEAR SYSTEMS TO PARAMETER UNCERTAINTY: NATIONAL AERONAUTICS AND SPACE ADMINISTRATION WASHINGTON, D. C. JUNE 1971:
Page 12: A NUMERICAL EXAMPLE: Problem Statement: The example problem is a fixed-time problem in which it is required to determine the thrust-attitude program of a single-stage rocket vehicle starting from rest and going to specified terminal conditions of altitude and vertical velocity which will maximize the final horizontal velocity. The idealizing assumptions made are the following:
(1) A point-mass vehicle
(2) A “flat, nonrotating Earth”
5 - NASA Technical Paper Nº 2835 1988: User’s Manual for Interactive LINEAR, a FORTRAN Program To Derive Linear Aircraft Models.
5.1 Page 01: SUMMARY: The nonlinear equations of motion used are six-degree-of-freedom equations with stationary atmosphere and “flat and nonrotating Earth” assumptions.
5.2 Page 126: 6. Abstract: The nonlinear equations of motion used are six-degree-of-freedom equations sith stationary atmosphere and “flat and nonrotating Earth” assumptions.
Great work ,thanks