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[FM] Huge roll moment with weapon release


TheSkipjack95

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As the title suggests, the Harrier has a tendency to roll towards the newly empty station when a weapon is released, requiring retrimming every time a weapon is fired.

 

 

What's the official stance on that? Accurate? Still WIP?

 

The existence of a roll moment seems logical, but it seems a bit excessive and it's not noticeable to that extent in any of the other DCS aircraft.

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From "I’m a Harrier pilot in the USMC...AMA!":

 

Question: In DCS, the Harrier is quite unique when carrying asymmetric loadouts, it doesn't handle it very well, the tendencies to drop the wing are quite high I believe. Is that the case in real life?

 

Answer: Asymmetric loads only get weird for landings. Up and away, I hardly ever noticed.

 

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Part of what you're missing is the amount of control deflection. It's much easier to counteract that roll moment when your stick moves more. I recently upgraded my stick and have no center detent and a much larger throw than the warthog and I barely notice the roll as well.

 

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I also think the wing-down tendency is exaggerated when releasing a weapon e.g.Maverick. The only thing I can compare with are other DCS airplanes with the same weapons that don't show this behavior.

Also found this in "I’m a Harrier pilot in the USMC...AMA!" that Cornelius linked to:

"In DCS when firering an Maverick, you get tremendous unsymmetrical load, is it like that IRL?

- Assymetric loads in conventional flight are not that bad with the LMAV."

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  • 1 month later...

Sometimes the aircraft borders on uncontrollability with asymmetric loads... I’ve always thought it felt overdone.

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I think I've read that one too. I figure he's using liberal amounts of AFC. I do anyway. 12x GBU-12s @ angels 23 I'm engaged with AFC, pickle, wait like 3 or4 seconds then egress. I never notice an asymmetrical load. Now I notice with Mk 83's, but only when banking. Same with snakeyes. Except I'm in AFC up to 2 miles out, disengage AFC, slight pop up, about 2 deg. down when engaging the objective and all is good on the egress.

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I've notices, if you use AFC, for example to get a TPOD fix on target for IRMV, after firing the IRMV, when you release ARC, you experience a strong role to the heavy side if the aircraft.

 

However, if you're dropping a single Mk-82 in CCIP and then pealing off, you hardly notice the imbalance at all, until you try to level out. So I can see where pilots say that they hardly notice the difference. I think it's more a question of what exactly they are doing the moment they release 500 lbs of ordnance, and that they have learned what to expect and muscle memory is dealing with the imbalance.

 

Having said that, I'm not 100% confident that all weapons have their correct weights dialed in: Seven Pounds


Edited by Captain Orso

When you hit the wrong button on take-off

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I've notices, if you use AFC, for example to get a TPOD fix on target for IRMV, after firing the IRMV, when you release ARC, you experience a strong role to the heavy side if the aircraft.

 

However, if you're dropping a single Mk-82 in CCIP and then pealing off, you hardly notice the imbalance at all, until you try to level out. So I can see where pilots say that they hardly notice the difference. I think it's more a question of what exactly they are doing the moment they release 500 lbs of ordnance, and that they have learned what to expect and muscle memory is dealing with the imbalance.

 

Having said that, I'm not 100% confident that all weapons have their correct weights dialed in: Seven Pounds

 

If I recall correctly, you also fly the A10 ? How would you compare your experiences, when releasing a single weapon? I've only flown FC3 aircrafts before, and none of it act like the harrier. I know that airplanes are different, but shouldn't this "unique behaviour" then be a more publicly known fact, that also the USMC pilot would have addressed in more detail in his replies?


Edited by Cornelius
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No, I don't actually fly the A-10, but I do fly the P-51, and have often dropped single 500 lb bombs leaving me with a 500 lb imbalance on an aircraft that weights far less.

 

The impact is also much greater on the P-51, but manageable, although I wouldn't want to try and fancy aerobatics in that condition :D

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As the title suggests, the Harrier has a tendency to roll towards the newly empty station when a weapon is released, requiring retrimming every time a weapon is fired.

 

 

What's the official stance on that? Accurate? Still WIP?

 

The existence of a roll moment seems logical, but it seems a bit excessive and it's not noticeable to that extent in any of the other DCS aircraft.

 

[ATTACH]202611[/ATTACH]

To whom it may concern,

I am an idiot, unfortunately for the world, I have a internet connection and a fondness for beer....apologies for that.

Thank you for you patience.

 

 

Many people don't want the truth, they want constant reassurance that whatever misconception/fallacies they believe in are true..

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The A10, you barely feel it at all. Could be poorly modelled the other way, or could be because of the inherent stability of that long straight wing.

 

You feel it in the Hornet, but not to the point of losing control. FBW may help there though...

 

I’ve just found that sometimes an aggressive peel-off in the Harrier after firing a Mav or 500 pounder will leave you rolling uncontrollably...

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At asymmetries less than 60,000 inch--pounds, the aircraft requires minimal lateral (aileron) and directional (rudder)

trim to maintain wings level balanced flight. Maneuvering characteristics at AOA greater than 1 g are similar to those

of a symmetrically loaded aircraft, but require slightly more lateral stick to maintain the desired bank angle. Flying

qualities cues in the form of roll and pitch hesitations are present to warn the pilot of impending departure. Post stall

gyrations are generally similar to those of a clean aircraft with the exception that incipient spin motion is more likely

to occur if departure occurs at high Mach number (≧0.7). Spin direction will be away from the heavy wing. The

aircraft, however, remains extremely spin resistant and neutral controls are sufficient to recover the aircraft within

1 to 2 turns.

 

I'm stuck in translating inch pounds into weight at AoA of 1 g. Any ideas?


Edited by Cornelius
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I'm stuck in translating inch pounds into weight at AoA of 1 g. Any ideas?

 

AFAIK, We need to learn how to calculate the moment. Also, AOA and G are no the same thing.

For precise aircraft basic weight, external

store and attachment information refer to

charts C and E of the weight and balance

handbook (AN-01-1B-40) for the particular aircraft

and

A1-AV8BB-NFM-000, page 16-6, para 16.9.1 Asymmetric Stores Landing

The inboard pylon is 75.17 inches from the aircraft centerline, the intermediate pylon is 127.49 inches from the aircraft centerline, and the outboard pylon is 157.06 inches from the aircraft centerline; therefore, a single store over 1,065 pounds on an inboard pylon, a single store over 628 pounds on an intermediate pylon, or a single store over 510 pounds on an outboard pylon will exceed the vertical landing limit. If two or more stores are retained, the algebraic sum of their individual moments must be calculated to determine if the asymmetric moment is in excess of the vertical landing limit (− for stations 1, 2, and 3; + for stations 5, 6, and 7). See Figure 16-1. For store and suspension equipment weights refer to the aircraft loading chart in part XI, A1−AV8BB−NFM−400. An AUTO flap slow landing using 50° fixed nozzles will generally provide the most comfortable lateral control margin and landing roll−out characteristics; however, nozzle setting may be varied depending on other factors such as touchdown speed

versus runway length, longitudinal control margin, RCS condition, etc. The two most important items for controllability are use of AUTO flaps and limiting AOA to 12° maximum. Do not make sudden or large rpm reductions during approach to prevent RCS control power reduction.

 

IIUC, a 500lbs Mk82 at 157.06 inches from CG is 78,530 inch pounds. So 60,000 is something weighting 471 lbs on station 2 or 6 and a weight of 798 on station 3 or 5. 382 on station 1 or 7


Edited by mvsgas

To whom it may concern,

I am an idiot, unfortunately for the world, I have a internet connection and a fondness for beer....apologies for that.

Thank you for you patience.

 

 

Many people don't want the truth, they want constant reassurance that whatever misconception/fallacies they believe in are true..

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I'm stuck in translating inch pounds into weight at AoA of 1 g. Any ideas?

 

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AFAIK, We need to learn how to calculate the moment. Also, AOA and G are no the same thing.

 

and

 

 

IIUC, a 500lbs Mk82 at 157.06 inches from CG is 78,530 inch pounds. So 60,000 is something weighting 471 lbs on station 2 or 6 and a weight of 798 on station 3 or 5. 382 on station 1 or 7

 

:doh:

"AOA greater than 1 g" --- this one and all these non-metrical units have led me up the wrong path. But I've really to admit, that at least this part of the NATOPS is to much for me. Thanks, for making the calculation:thumbup:

 

So, with a weight difference of one MK-82 on station 3 or 5 "the aircraft requires minimal lateral (aileron) and directional (rudder) trim to maintain wings level balanced flight."

 

And a weight difference of one MK-82 on stations 2 or 6 would exceed the above criteria by 6.15 %

That sounds not to be much...


Edited by Cornelius
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:doh:

"AOA greater than 1 g" --- this one and all these non-metrical units have led me up the wrong path. But I've really to admit, that at least this part of the NATOPS is to much for me. Thanks, for making the calculation

 

So, with a weight difference of one MK-82 on station 3 or 5 "the aircraft requires minimal lateral (aileron) and directional (rudder) trim to maintain wings level balanced flight."

 

And a weight difference of one MK-82 on stations 2 or 6 would exceed the above criteria by 6.15 %

That sounds not to be much...

It's over the limit which is what matters. Probably will be fine, yeah, but who knows how the jet will act

 

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:doh:

"AOA greater than 1 g" --- this one and all these non-metrical units have led me up the wrong path. But I've really to admit, that at least this part of the NATOPS is to much for me. Thanks, for making the calculation:thumbup:

 

So, with a weight difference of one MK-82 on station 3 or 5 "the aircraft requires minimal lateral (aileron) and directional (rudder) trim to maintain wings level balanced flight."

 

And a weight difference of one MK-82 on stations 2 or 6 would exceed the above criteria by 6.15 %

That sounds not to be much...

 

And is easily corrected with trim. But you add the AV8B sensitivity to AOA (rapid onset of AOA) and some G and that situation goes bad rather quickly.

To whom it may concern,

I am an idiot, unfortunately for the world, I have a internet connection and a fondness for beer....apologies for that.

Thank you for you patience.

 

 

Many people don't want the truth, they want constant reassurance that whatever misconception/fallacies they believe in are true..

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To me the effect is just overdone. I tested handling with a single Sidearm on one wing, and it didn't feel "slightly heavy" on one side, a little annoyance more than anything. It required active care to not have the plane roll heavily when pulling reasonable amounts of AoA and G. Pretty sure that wouldn't pass any flight test.

 

 

Below was another test with single Mk82 on the right outboard. Trimmed by AFC at 420KIAS, and as you can see, just pulling to 2G gives me all that roll.

 

 

 

 

 

 

QEnU8Xa.png


Edited by TheSkipjack95
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To further my case of the effect being overdone : using numbers in this thread, my imbalance there is 78 530ftlbs, half the figure the manual lists as still being safe.

 

 

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To further my case of the effect being overdone : using numbers in this thread, my imbalance there is 78 530ftlbs, half the figure the manual lists as still being safe.

 

 

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

 

 

For science I'd be curious how much trim it takes to achieve level flight with the configuration you mention, whether the aileron is halfway through its range of motion or not.

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To further my case of the effect being overdone : using numbers in this thread, my imbalance there is 78 530ftlbs, half the figure the manual lists as still being safe.

 

I thought the moment of the bomb would double at 2g, triple at 3g and so on. So at two G, the moment would be 157060. Or do we not think the weight effect of the weapons increases with G?

To whom it may concern,

I am an idiot, unfortunately for the world, I have a internet connection and a fondness for beer....apologies for that.

Thank you for you patience.

 

 

Many people don't want the truth, they want constant reassurance that whatever misconception/fallacies they believe in are true..

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For science I'd be curious how much trim it takes to achieve level flight with the configuration you mention, whether the aileron is halfway through its range of motion or not.

 

 

You can see how much aileron trim is used by looking at the white dash in the controls indicator. As I said that was the input needed at 420kts. Doesn't look like it's anywhere near a stop, but in DCS we don't have anything like the elastic stops real sticks have so it's hard to feel them.

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