Just discovered your channel and I'm hooked! Your content is fantastic and I can't get enough. Would you consider making a video on missile pitch control for achieving a circular orbit? It'd be really interesting to learn more! Thanks,
Hi there, thanks for watching! I appreciate the good words. I'll consider it. I do have a pitch control lesson and also an acceleration control lesson, which could be used to create a circular flight path. You can find these on my channel or at my website: www.learngandc.com.
Thank you for your videos. Is ProNav useful for guidance towards a stationary target? For example fixed wing pinpoint landing (e.g. carrier landing), or quadrotor guidance (e.g. drone racing through obstacles)
Yes, it works for stationary targets. There are separate guidance laws for aircraft landing. ProNav guides to a target, but does not allow prescribing the flight path angle as it reaches a desired point for a safe landing.
Sure, some basic concepts such as glide slope and flare are covered in about 6 pages in Blakelock, "Automatic Control of Aircraft and Missiles," published by Wiley (roughly pg. 90). Both the 1st and 2nd editions cover it, but the 2nd edition has a little more material and diagrams. This will also cover the generating glide slope controllers. Both editions are out of print, but they can easily be found online.
Hello Ben, I appreciate your effort. Your explanation to PN has made things easy for me. Ben, at 5:37 you have computed Lambda_1 as 77 degrees. Please give some explanation to this computation. What is the range vector? And what is the exact formula to compute Lambda1.
Ah, good question. First, note that both bodies have constant velocity so that angles are determined based on a scale applied to the velocity vectors. You could use a ruler on your screen for example. Then, lamda1 = atan(Rz1/Rx1), where x and z are horizontal and vertical components.
One can directly determine LOS angle from the geometry of the diagram. It involves projecting the positions forward one time step. Then, it's just a little trig.
Great video but I have a question. How do we know the value of the lamda at time t .? p/s : I just came up with the calculation after asking the question 😆 I just use some geometric math that I learned in 7th grade
may be this is a stupid question because I am watching these videos just because of interest and this is not my field of study, but I have seen ground launched missiles that change direction just after launch two times by using some thrusters just below their nose cone, so is that just to align the missile with the target and the change in flight angle path happens after that continuously, or is it the only maneuver the missile performs and then goes straight.
Those thrusters are known as a reaction control system. We can speculate on some possibilities. They could be an initial course correction for target intercept. Their use early on could be for stabilization after launch, essentially to capture the angular rates of the missile for stability. It's hard to say offhand without knowing the systems. So, it's not a stupid question at all. If you know what type of missile it is, with a little research online, you'll probably come up with some interesting answers.
You'll need a target state estimator! This is a big and complex subject, but in two dimensions, relatively simple estimators can be constructed. Lin's book, Modern Navigation, Guidance, and Control Processing, provides some introduction.
@@LearnGandC I need it only in 2 dimension projection. :D I've got stuck there too. Like doing comparation between result angle in time i to i+1. Also the distance traveled by VP/time between two state angle as reference. But still no result.
How lambda1 is 77. Okey, from the geometric calculations 102-90 = 12. Inside the new triangle it must be 90-12 = 78. Am i wrong ? Could you Please explain how it is 77 ?
It was determined from the inverse tangent of the crossrange over downrange from the relative position vector at t(i+1). These positions were literally measured on the diagram to determine lambda(i+1).
Those videos are great. Proportional navigation is the basis of many modern missile guidance laws. So while the exact laws implemented on the missiles in the videos may be more advanced, there is often a pronav like component in them.
I just don't have words to thank you! Amazing videos bro thanks a lot!!!
Thank you!!! More to come!
Ben Dickinson, you are my savior!!!
Hey there, it's great to hear the lesson is coming in handy! Thanks for watching
Clear explanation thanks once again for the tutorial
My pleasure!
Excellent introduction to pro nav.
Glad to hear you liked it
Just discovered your channel and I'm hooked! Your content is fantastic and I can't get enough. Would you consider making a video on missile pitch control for achieving a circular orbit? It'd be really interesting to learn more!
Thanks,
Hi there, thanks for watching! I appreciate the good words. I'll consider it. I do have a pitch control lesson and also an acceleration control lesson, which could be used to create a circular flight path. You can find these on my channel or at my website: www.learngandc.com.
Hello sir. I do not understand a sentence in 0:42. " let's start simple and look at the qualities of xxxxx ". could you spell it. Think you very much.
"ProNav" short for "Proportional Navigation." Thanks!
Thank you for your videos. Is ProNav useful for guidance towards a stationary target? For example fixed wing pinpoint landing (e.g. carrier landing), or quadrotor guidance (e.g. drone racing through obstacles)
Yes, it works for stationary targets. There are separate guidance laws for aircraft landing. ProNav guides to a target, but does not allow prescribing the flight path angle as it reaches a desired point for a safe landing.
@@LearnGandC Thanks. Can you please suggest some conventional/typical guidance laws for aircraft landing that I could look into?
Sure, some basic concepts such as glide slope and flare are covered in about 6 pages in Blakelock, "Automatic Control of Aircraft and Missiles," published by Wiley (roughly pg. 90). Both the 1st and 2nd editions cover it, but the 2nd edition has a little more material and diagrams. This will also cover the generating glide slope controllers. Both editions are out of print, but they can easily be found online.
Hello Ben, I appreciate your effort. Your explanation to PN has made things easy for me. Ben, at 5:37 you have computed Lambda_1 as 77 degrees. Please give some explanation to this computation. What is the range vector? And what is the exact formula to compute Lambda1.
Ah, good question. First, note that both bodies have constant velocity so that angles are determined based on a scale applied to the velocity vectors. You could use a ruler on your screen for example. Then, lamda1 = atan(Rz1/Rx1), where x and z are horizontal and vertical components.
@@LearnGandC thank you for the explanation.
Flight path angle is measured differently on proposed law slide and pursuit guidance slide?
They are consistent, note the proposed law is fpa rate and the pursuit guidance implements a discredited form of the law which updates achieved fpa.
Hello sir. I am working on guidance laws of launch vehicles which is closely related to this. Can you please give a detailed lectures on them too.
Greetings! It may take some time but I'll see what I can do. Need to finish the present series first!
How do we calculate for lambda i for pursuit guidance. Specifically for did you conclude that lambda 1 was 77 deg?
One can directly determine LOS angle from the geometry of the diagram. It involves projecting the positions forward one time step. Then, it's just a little trig.
Great video but I have a question. How do we know the value of the lamda at time t .?
p/s : I just came up with the calculation after asking the question 😆 I just use some geometric math that I learned in 7th grade
Great to hear you figured it out! Thanks for watching!
may be this is a stupid question because I am watching these videos just because of interest and this is not my field of study, but I have seen ground launched missiles that change direction just after launch two times by using some thrusters just below their nose cone, so is that just to align the missile with the target and the change in flight angle path happens after that continuously, or is it the only maneuver the missile performs and then goes straight.
Those thrusters are known as a reaction control system. We can speculate on some possibilities. They could be an initial course correction for target intercept. Their use early on could be for stabilization after launch, essentially to capture the angular rates of the missile for stability. It's hard to say offhand without knowing the systems. So, it's not a stupid question at all. If you know what type of missile it is, with a little research online, you'll probably come up with some interesting answers.
@@LearnGandC thanks a lot
Not sure, but if I were to use some of your diagrams in my thesis do I have your consent? Amazing stuff btw!
No problem, just please reference. Glad to hear you find the educational content useful!
how to get the target Velocity by the gimbal angle?
You'll need a target state estimator! This is a big and complex subject, but in two dimensions, relatively simple estimators can be constructed. Lin's book, Modern Navigation, Guidance, and Control Processing, provides some introduction.
@@LearnGandC I need it only in 2 dimension projection. :D I've got stuck there too. Like doing comparation between result angle in time i to i+1. Also the distance traveled by VP/time between two state angle as reference. But still no result.
How lambda1 is 77. Okey, from the geometric calculations 102-90 = 12. Inside the new triangle it must be 90-12 = 78. Am i wrong ? Could you Please explain how it is 77 ?
It was determined from the inverse tangent of the crossrange over downrange from the relative position vector at t(i+1). These positions were literally measured on the diagram to determine lambda(i+1).
I wonder is there real life footage of this in action. I was watching some youtube video filming Israel's iron dome system against Hamas' rockets.
Those videos are great. Proportional navigation is the basis of many modern missile guidance laws. So while the exact laws implemented on the missiles in the videos may be more advanced, there is often a pronav like component in them.
@@LearnGandC Thanks for your opinion!