Icaro Laminar 13 MRX: Difference between revisions

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All the points described here can be tested and verified using the FlightGear hang glider ''Laminar 13 MRX''. This should improve the understanding and might help to avoid extrem flight situations or to train safe recoveries from such situations.
All the points described here can be tested and verified using the FlightGear hang glider ''Laminar 13 MRX''. This should improve the understanding and might help to avoid extrem flight situations or to train safe recoveries from such situations.


'''This section is still under construction.''' The current status is July 26, 2025.
'''This section is still under construction.''' The current status is August 10, 2025.


As an introduction, reference is made to two threads in the German Hang Gliding Forum, in which the static and dynamic longitudinal stability of weight-shift controlled hang gliders is examined in more detail:
As an introduction, reference is made to two threads in the German Hang Gliding Forum, in which the static and dynamic longitudinal stability of weight-shift controlled hang gliders is examined in more detail:
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The initiation of the tucks or near-tucks in the other videos can also be subdivided into the 4 phases. The individual phases are just more or less pronounced.
The initiation of the tucks or near-tucks in the other videos can also be subdivided into the 4 phases. The individual phases are just more or less pronounced.
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==== Analysis of the U2 video ====
==== Analysis of the U2 video ====
In the U2 video (''Hang Glide Reserve Deployment''), the initial state of the tuck initiation is at a significantly higher angle of attack compared to the Sensor due to its flight attitude (nose high) at the onset of the stall (Point 1).
In the U2 video (''Hang Glide Reserve Deployment''), the initial state of the tuck initiation is at a significantly higher angle of attack compared to the Sensor due to its flight attitude (nose high) at the onset of the stall (Point 1).
In addition, the pilot pulls-in more, which results in a very negative moment (Point 2). The diagram of the U2 clearly shows that phase 1 is much more dominant compared to the Sensor. The area under the moment curve is huge due to both the range of the angle of attack and the more negative moment (max. pulled-in).  
In addition, the pilot pulls-in more, which results in a very negative moment (Point 2). The diagram of the U2 clearly shows that Phase 1 is much more dominant compared to the Sensor. The area under the moment curve is huge due to both the range of the angle of attack and the more negative moment (max. pulled-in).  


The opposite is true for phase 2. As the pilot remains in a fully pulled-in position (green curve), the zero-crossing of the moment curve (Point 3) shifts to the left to a smaller angle of attack. The area under the (positive) moment curve is therefore noticeably smaller compared to the Sensor and the decelerating effect is thus significantly reduced. No substantial reduction in the rotational speed (as with the Sensor) can be observed in the video.   
The opposite is true for Phase 2. As the pilot remains in a fully pulled-in position (green curve), the zero-crossing of the moment curve (Point 3) shifts to the left to a smaller angle of attack. The area under the (positive) moment curve is therefore noticeably smaller compared to the Sensor and the decelerating effect is thus significantly reduced. No substantial reduction in the rotational speed (as with the Sensor) can be observed in the video.   


But even then, the U2 would not have tucked if the pilot had stayed in front. Either he pushed-out reflexively after Point 4 or, like the Sensor pilot, he was ‘pushed backwards’ by the glider due to his inertia (despite the reduced rotational deceleration compared to the Sensor).
But even then, the U2 would not have tucked if the pilot had stayed in front. Either he pushed out reflexively after Point 4 or, like the Sensor pilot, he was ‘pushed backwards’ by the glider due to his inertia (despite the reduced rotational deceleration compared to the Sensor).


[[File:MomentDiagram U2 en.jpg|left|thumb|800px|Figure 7: U2 Video - Defining the individual phases in the moment diagram]]
[[File:MomentDiagram U2 en.jpg|left|thumb|800px|Figure 7: U2 Video - Defining the individual phases in the moment diagram]]
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==== Analysis of the Falcon video ====
==== Analysis of the Falcon video ====
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In the initialization phase (Point 1), the hang glider nose points vertically upwards and the pilot is approximately in the trim position. At the onset of the stall, the hang glider is likely to slide backwards, which would be equivalent to an angle of attack of 180°. It couldn't be worse!
In the initialization phase (Point 1), the hang glider nose points vertically upwards and the pilot is approximately in the trim position. At the onset of the stall, the hang glider is likely to slide backwards, which would be equivalent to an angle of attack of 180°. It couldn't be worse!


In the diagram, Point 1 of the initialization phase is therefore far outside the angle of attack range shown. The pitching moment curve continues to decrease steadily in the area not shown, so that there is an extremely high pitch-down moment at Point 1. Fortunately, the pilot is only slightly in front of the trim position and does not pull-in excessively. This would have resulted in an even worse pitch-down. Even so, the area under the moment curve in phase 1 is huge compared to the Sensor and U2.
In the diagram, Point 1 of the initialization phase is therefore far outside the angle of attack range shown. The pitching moment curve continues to decrease steadily in the area not shown, so that there is an extremely high pitch-down moment at Point 1. Fortunately, the pilot is only slightly in front of the trim position and does not pull-in excessively. This would have resulted in an even worse pitch-down. Even so, the area under the moment curve in Phase 1 is huge compared to the Sensor and U2.


In this slightly pulled-in pilot position, he rotates very quickly up to an almost horizontal attitude. From then on, the pilot begins to push out and his legs additionally move backwards.  
In this slightly pulled-in pilot position, he rotates very quickly up to an almost horizontal attitude. From then on, the pilot begins to push out and his legs additionally move backwards.  
The pushing-out should still have taken place within phase 1, so that the control must have been actively executed by the pilot and not by the pitching moment of the wing (moment is still negative here). In this rear center of gravity position, the wing continues rotating until the nose is pointing vertically downwards.  
The pushing-out should still have taken place within Phase 1, so that the control must have been actively executed by the pilot and not by the pitching moment of the wing (moment is still negative here). In this rear center of gravity position, the wing continues rotating until the nose is pointing vertically downwards.  


This '''fully-pushed-out position is very beneficial''', as it reduces the negative moment in phase 1 (less excitation) and significantly increases the positive moment in phase 2'''a''' (stronger deceleration). In the diagram, the moment changes from the blue to the yellow curve.
This '''fully-pushed-out position is very beneficial''', as it reduces the negative moment in Phase 1 (less excitation) and significantly increases the positive moment in Phase 2'''a''' (stronger deceleration). In the diagram, the moment changes from the blue to the yellow curve.


As a result of the increased deceleration of the hang glider, the pilot (due to his inertia) is accelerated backwards much more violently relative to the hang glider (compared to the Sensor). This would have inevitably led to a tuck if there wasn't a '''fundamental difference''' to the Sensor and U2: By clutching the control bar extremely tightly, the pilot does not rotate around the hang point (like the Sensor and U2 pilot) but around the control bar!
As a result of the increased deceleration of the hang glider, the pilot (due to his inertia) is accelerated backwards much more violently relative to the hang glider (compared to the Sensor). This would have inevitably led to a tuck if there wasn't a '''fundamental difference''' to the Sensor and U2: By clutching the control bar extremely tightly, the pilot does not rotate around the hang point (like the Sensor and U2 pilot) but around the control bar!
The pilot's center of gravity does NOT move further backwards but instead slightly forward again until the pilot is aligned parallel to the control frame! In the diagram, the moment curve in phase 2b is back on the blue curve.  
The pilot's center of gravity does NOT move further backwards but instead slightly forward again until the pilot is aligned parallel to the control frame! In the diagram, the moment curve in Phase 2b is back on the blue curve.  
'''A small but essential difference with a big effect!'''
'''A small but essential difference with a big effect!'''
The hang glider does not tuck, although the rotation is only stopped at an angle of attack significantly lower than α<sub>0</sub> (recognizable by the negatively deflecting sail and the tensioned luff lines).
The hang glider does not tuck, although the rotation is only stopped at an angle of attack significantly lower than α<sub>0</sub> (recognizable by the negatively deflecting sail and the tensioned luff lines).
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[[File:MomentDiagram Falcon en.jpg|left|thumb|800px|Figure 8: Falcon Video - Defining the individual phases in the moment diagram]]
[[File:MomentDiagram Falcon en.jpg|left|thumb|800px|Figure 8: Falcon Video - Defining the individual phases in the moment diagram]]
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==== Analysis of the Laminar video ====
==== Analysis of the Laminar video ====
The fact that '''nuances can make the difference between tuck and recovery''' can also be seen in the Laminar video (''Whip Stall in Laminar14MRX''). Phase 1 corresponds somewhat to that in the U2 diagram, phase 2 to the Sensor and phase 3 more to the Falcon. For this reason, a separate Laminar diagram has been omitted.
The fact that '''nuances can make the difference between tuck and recovery''' can also be seen in the Laminar video (''Whip Stall in Laminar14MRX''). Phase 1 corresponds somewhat to that in the U2 diagram, Phase 2 to the Sensor and Phase 3 more to the Falcon. For this reason, a separate Laminar diagram has been omitted.


In the initialization phase, the pilot pulls in a little earlier than the U2 pilot (you have to watch the video very carefully). The stall is therefore not yet fully established. Compared to the U2, Point 1 and therefore also Point 2 are at a slightly lower angle of attack. The extent of phase 2a corresponds approximately to that of the Sensor.
In the initialization phase, the pilot pulls in a little earlier than the U2 pilot (you have to watch the video very carefully). The stall is therefore not yet fully established. Compared to the U2, Point 1 and therefore also Point 2 are at a slightly lower angle of attack. The extent of Phase 2a corresponds approximately to that of the Sensor.


The rotation was probably already completely stopped in phase 2b near α<sub>0</sub>, as no unloading of the main suspension can be observed. Only the briefly visible decrease in the dihedral indicates that the angle of attack was minimally below α<sub>0</sub> (downforce). In this case, phase 3, i.e. pitching up, follows to the right of phase 2b.
The rotation was probably already completely stopped in Phase 2b near α<sub>0</sub>, as no unloading of the main suspension can be observed. Only the briefly visible decrease in the dihedral indicates that the angle of attack was minimally below α<sub>0</sub> (downforce). In this case, Phase 3, i.e. pitching up, follows to the right of Phase 2b.


'''Important: in phase 2 and 3 the center of gravity was at no time behind the trim position!'''
'''Important: in Phase 2 and 3 the center of gravity was at no time behind the trim position!'''
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==== Analysis of the 'Tuck out of the blue' video ====
==== Analysis of the 'Tuck out of the blue' video ====
The fifth video (Hang glider Tuck and in air collapse Tolmin Slovenia) is a very rare documentation of a tuck out of the blue. In contrast to the previous videos, in which the tuck initiation is predictable (either due to the high angle of attack and/or the pilot's deliberate control input in phase 0), here the hang glider tucks suddenly out of a normal gliding attitude.
The fifth video (Hang glider Tuck and in air collapse Tolmin Slovenia) is a very rare documentation of a tuck out of the blue. In contrast to the previous videos, in which the tuck initiation is predictable (either due to the high angle of attack and/or the pilot's deliberate control input in Phase 0), here the hang glider tucks suddenly out of a normal gliding attitude.


Jesper's video seems to be “the film to the book”, i.e. Adam Parer's report from 2009. I have the impression that Adam describes exactly the same tuck initiation that can be seen on Jesper's video. Adam also mentions Andreas Orgler's tuck, which seems to have a similar initiation:  
Jesper's video seems to be “the film to the book”, i.e. Adam Parer's report from 2009. I have the impression that Adam describes exactly the same tuck initiation that can be seen on Jesper's video. Adam also mentions Andreas Orgler's tuck, which seems to have a similar initiation:  
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How right he is! Hence the detailed analysis below. I am only focusing here on the tuck initiation (until the hang glider flies inverted). Although the following in both Jesper's video and Adam's report is also super interesting and quite spectacular, it is explicitly not part of this analysis, as from this point onwards the pilot is only a passenger and can no longer intervene in the steering. You are then helplessly at the mercy of what follows.
How right he is! Hence the detailed analysis below. I am only focusing here on the tuck initiation (until the hang glider flies inverted). Although the following in both Jesper's video and Adam's report is also super interesting and quite spectacular, it is explicitly not part of this analysis, as from this point onwards the pilot is only a passenger and can no longer intervene in the steering. You are then helplessly at the mercy of what follows.


This tuck initiation can also be broken down into the four phases described above. The only difference is in phase 0, where the high angle of attack is generated by a '''strong gust''' that must have come '''from behind below''' (The influence of gusts on longitudinal stability is described in detail later in a separate chapter). Phases 1-3 then proceed in the same way as in the previous videos.
This tuck initiation can also be broken down into the four phases described above. The only difference is in Phase 0, where the high angle of attack is generated by a '''strong gust''' that must have come '''from behind below''' (The influence of gusts on longitudinal stability is described in detail later in a separate chapter). Phases 1-3 then proceed in the same way as in the previous videos.
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# t_Video=0s: Straight flight, maybe with a slight right turn. The hands are relaxed on the speedbar. The pilot's position is centered in the trim position. The VG rope is symmetrically aligned (symmetrical airflow from the front).
# t_Video=0s: Straight flight, maybe with a slight right turn. The hands are relaxed on the speedbar. The pilot's position is centered in the trim position. The VG rope is symmetrically aligned (symmetrical airflow from the front).
# t=2:20-3:00s: The hang glider begins to yaw to the right (see VG rope deflection to the right). The wing is banked slightly to the right. However, there is no rotation around the longitudinal axis.
# t=2:20-3:00s: The hang glider begins to yaw to the right (see VG rope deflection to the right). The wing is banked slightly to the right. However, there is no rotation around the longitudinal axis.
# Jesper corrects a left-side lift (?) several times and with increasing intensity: first with half, then with full weight shift to the left and finally he shifts his legs as far as possible to the left (more is not feasible, as the space is limited by the left rear wire). By the way: a perfect control technique! The left-side lift must have been caused by a gust/turbulence. The gust can also be recognized by the change in wind noise. However, I myself cannot judge with 100% accuracy whether the wind speed is decreasing (which would be the case with a gust directly from behind) or increasing. But I have the feeling that the wind noise tends to increase. The replay didn't show any significant change in speed immediately before the tuck. However, this may be due to the measurement method and evaluation (time-averaged speed). The right hand rests rather relaxed on the control bar the whole time. For me, this is a sign that he is close to the trim position (neither pulled-in nor pushed-out).
# Jesper corrects a left-side lift (?) several times and with increasing intensity: first with half, then with full weight shift to the left and finally he shifts his legs as far as possible to the left (more is not feasible, as the space is limited by the left rear wire). By the way: a perfect control technique! The left-side lift must have been caused by a gust/turbulence. The gust can also be recognized by the change in wind noise. However, I myself cannot judge with 100% accuracy whether the wind speed is decreasing (which would be the case with a gust directly from behind) or increasing. But I have the impression that the wind noise tends to increase. The replay didn't show any significant change in speed immediately before the tuck. However, this may be due to the measurement method and evaluation (time-averaged speed). The right hand rests rather relaxed on the control bar the whole time. For me, this is a sign that he is close to the trim position (neither pulled-in nor pushed-out).
# With the pilot in this sideways deflected position and in this yaw attitude, the hang glider begins to pitch down. The pitching and the rotational speed can be well recognized by the relative movement of the right corner of the controlbar to the trees in the background. Tests with ''FlightGear'' show that a '''gust from behind and below''' at a speed of approx. 15-20m/s is sufficient to trigger a tuck.
# With the pilot in this sideways deflected position and in this yaw attitude, the hang glider begins to pitch down. The pitching and the rotational speed can be well recognized by the relative movement of the right corner of the controlbar to the trees in the background. Tests with ''FlightGear'' show that a '''gust from behind and below''' at a speed of approx. 15-20m/s is sufficient to trigger a tuck.
# At t=3:24s the downward rotation comes to a brief stoppage (see right speed bar in front of the background; you have to look very closely; frame by frame analysis!) I do not yet have an explanation for this behavior. Immediately afterward, however, a much more pronounced pitch-down occurs (pilot is still on the very left; VG rope is still blown out to the right).
# At t=3:24s the downward rotation comes to a brief stoppage (see right speed bar in front of the background; you have to look very closely; frame by frame analysis!) I do not yet have an explanation for this behavior. Immediately afterward, however, a much more pronounced pitch-down occurs (pilot is still on the very left; VG rope is still blown out to the right).
# t=4:12s: The yawing has stopped (VG rope is centered again). The main suspension begins to become slack (first visible at the top of the hang strap). The arms are already slightly pushed-out. The lateral pilot deflection remains unchanged to the left. This situation corresponds to Point 4 in the diagram. The nose of the hang glider is not yet pointing exactly vertically downwards.
# t=4:12s: The yawing has stopped (VG rope is centered again). The main suspension begins to become slack (first visible at the top of the hang strap). The arms are already slightly pushed-out. The lateral pilot deflection remains unchanged to the left. This situation corresponds to Point 4 in the diagram. The nose of the hang glider is not yet pointing exactly vertically downwards.
# t=4:15s: Jesper is still on the far left. His arms start pushing out. It would be important to know whether he has actively pushed-out or whether the control bar has only moved forward without his intervention and how the bar pressure has changed in direction and strength. In this phase there is no slowing down of the rotation of the wing observable (in contrast to the tuck of the Sensor). It looks rather similar to the tuck of the U2.
# t=4:15s: Jesper is still on the far left. His arms start pushing out. It would be important to know whether he has actively pushed out or whether the control bar has only moved forward without his intervention and how the bar pressure has changed in direction and strength. In this phase there is no slowing down of the rotation of the wing observable (in contrast to the tuck of the Sensor). It looks rather similar to the tuck of the U2.
# Then, due to the rear center of gravity position (fully stretched arms), an extremely fast rotation begins. Jesper drifts from the sideways deflected position to the center. The right hand no longer rests relaxed on the control bar  (Is this an indication that he has pushed-out deliberately?).
# Then, due to the rear center of gravity position (fully stretched arms), an extremely fast rotation begins. Jesper drifts from the sideways deflected position to the center. The right hand no longer rests relaxed on the control bar  (Is this an indication that he has pushed out deliberately?).
# t=5:08s: At this point, the harness/legs fall symmetrically into the rear wires. The negative lift forces are now only transferred to the pilot via the rear lower wires and the hands at the control bar. The nose of the hang glider points vertically downwards.
# t=5:08s: At this point, the harness/legs fall symmetrically into the rear wires. The negative lift forces are now only transferred to the pilot via the rear lower wires and the hands at the control bar. The nose of the hang glider points vertically downwards.
# t=4:18s to 5:18s: Continuous increase of the negative dihedral (increasing negative aerodynamic force).
# t=4:18s to 5:18s: Continuous increase of the negative dihedral (increasing negative aerodynamic force).
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Either he could have flown a little faster (pulled-in slightly). This would have made him less susceptible to gusts or, ideally, he should have been in the maximum possible forward pilot position at Point 5 in the diagram (at the very latest at α=-4°; CM=0). Admittedly, the time window for pulling-in is very short (approx. 1s). It is therefore important to be mentally prepared in advance and to have automated control reflexes. You can practise this with ''FlightGear'', for example. <big>😉</big>
Either he could have flown a little faster (pulled-in slightly). This would have made him less susceptible to gusts or, ideally, he should have been in the maximum possible forward pilot position at Point 5 in the diagram (at the very latest at α=-4°; CM=0). Admittedly, the time window for pulling-in is very short (approx. 1s). It is therefore important to be mentally prepared in advance and to have automated control reflexes. You can practise this with ''FlightGear'', for example. <big>😉</big>
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==== Impact of VG setting on tuck susceptibility ====
==== Impact of VG setting on tuck susceptibility ====
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The new inflow speed and direction can be easily determined by vectorial addition of the gust with the undisturbed inflow (speed triangles). Examples of this are illustrated on the following slide.   
The new inflow speed and direction can be easily determined by vectorial addition of the gust with the undisturbed inflow (speed triangles). Examples of this are illustrated on the following slide.   
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[[File:Gust Impact on inflow en.jpg|left|thumb|800px|Figure 12: Impact of Gust on Inflow]]
[[File:Gust Impact on inflow en.jpg|left|thumb|800px|Figure 13: Impact of Gust on Inflow]]
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When comparing the curves for the two airspeeds, it is clear to see that gusts have a much more dramatic effect at low speeds, both in terms of strength and direction.
When comparing the curves for the two airspeeds, it is clear to see that gusts have a much more dramatic effect at low speeds, both in terms of strength and direction.
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[[File:Gust Influence on A0a and DynamicPressure en.jpg|left|thumb|800px|Figure 13: Influence of Gust Direction and Strength on AoA and Dynamic Pressure]]
[[File:Gust Influence on A0a and DynamicPressure en.jpg|left|thumb|800px|Figure 14: Influence of Gust Direction and Strength on AoA and Dynamic Pressure]]
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This can also be seen clearly on the next slide, where the gust with the highest possible change in angle of attack is shown in the moment diagram for the two flight speeds. A gust with an upward component increases the angle of attack and with a downward component reduces it (simply mirrored).
This can also be seen clearly on the next slide, where the gust with the highest possible change in angle of attack is shown in the moment diagram for the two flight speeds. A gust with an upward component increases the angle of attack and with a downward component reduces it (simply mirrored).
For α<α<sub>0</sub> downforce (negative lift) occurs, which leads to a ‚wire-slap‘ or slack hang strap. A 5m/s gust can be sufficient for this regardless of the flight speed.
For α<α<sub>0</sub> downforce (negative lift) occurs, which leads to a "wire slap" or slack hang strap. A 5m/s gust can be sufficient for this regardless of the flight speed.
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That demonstrates that '''at low flight speeds, gusts have the power to trigger 'tucks out of the blue''''.
That demonstrates that '''at low flight speeds, gusts have the power to trigger 'tucks out of the blue''''.


[[File:Gust Change in AoA en.jpg|left|thumb|800px|Figure 14: Maximum Change in Angle of Attack due to Gusts]]
[[File:Gust Change in AoA en.jpg|left|thumb|800px|Figure 15: Maximum Change in Angle of Attack due to Gusts]]
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The previous diagram shows that the dynamic pressure increases by a factor of approx. 3.5. This does not have any effect on the absolute moment, as 0*3.5 is still 0. However, the aerodynamic force / lift also increases by this factor. The hang glider is therefore accelerated upwards by the higher lift ( first without changing its attitude). The superposition of this rate of climb with the inflow velocity results in a reduction in the angle of attack. We move on the moment curve (blue curve in the moment diagram) to the left. Although the change in angle of attack and hence the increase in moment is only minimal, the ''absolute'' moment increases by a factor of 3.5, which in the end leads to the significant pitching up.
The previous diagram (Figure 14) shows that the dynamic pressure increases by a factor of approx. 3.5. This does not have any effect on the absolute moment, as 0*3.5 is still 0. However, the aerodynamic force / lift also increases by this factor. The hang glider is therefore accelerated upwards by the higher lift (first without changing its attitude). The superposition of this rate of climb with the inflow velocity results in a reduction in the angle of attack. We move on the moment curve (blue curve in the moment diagram) to the left. Although the change in angle of attack and hence the increase in moment is only minimal, the ''absolute'' moment increases by a factor of 3.5, which in the end leads to the significant pitching up.
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==== Gust directly from above ====
==== Gust directly from above ====
In the following, the 6th sequence in the video (t=1:52) will be analyzed: Gust directly from above (-90°).
In the following, the 6th sequence in the video (t=1:52) will be analyzed: Gust directly from above (-90°).
The negative angle of attack due to the gust initially only leads to a harmless `wire slap`. The hang glider is pitching up slightly. However, the sink rate increases (see vario) as there is no lift for a while. Up to this point, everything is pretty safe.  
The negative angle of attack due to the gust initially only leads to a harmless "wire slap". The hang glider is pitching up slightly. However, the sink rate increases (see vario) as there is no lift for a while. Up to this point, everything is pretty safe.  
Only afterwards it becomes interesting: Why does the hang glider is pitching down so rapidly?
Only afterwards it becomes interesting: Why does the hang glider is pitching down so rapidly?
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It can also be seen in a positive light: The '''`wire slap` is the alarm for pulling in'''! Depending on the duration of the gust, the pitching down may not be so strong, however it could occur. You are therefore on the safe side by pulling in.
It can also be seen in a positive light: The '''"wire slap" is the alarm for pulling in'''! Depending on the duration of the gust, the pitching down may not be so strong, however it could occur. You are therefore on the safe side by pulling in.
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==== Example of a gust from behind ====
==== Example of a gust from behind ====
If a gust comes from behind, the wind noise must decrease.  This can be `heard` in the next video example (turn the volume up!). At first, the wind noise decreases to almost nil. Only then the hang glider starts to pitch down.
If a gust comes from behind, the wind noise must decrease.  This can be ''heard'' in the next video example (turn the volume up!). At first, the wind noise decreases to almost nil. Only then the hang glider starts to pitch down.
The '''wind noise''' can therefore be a further '''alarm signal for pulling in'''.
The '''wind noise''' can therefore be a further '''alarm signal for pulling in'''.
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