Abstract:
An aircraft performance degradation detection system may include information sources, a central unit connected to the information sources, and a warning device that is connected to the central unit. Using information received from the information sources, the central unit computes the current weight and drag of the aircraft and computes a theoretical drag based on the current weight. The current and theoretical drags are compared, and a determination is made regarding performance degradation based on the comparison.

Description:
FIELD OF THE INVENTION 
   The present invention relates to a method and a device for detecting degradation of performance of an aircraft. 
   BACKGROUND OF THE RELATED ART 
   It is known that, despite certification complying with the regulations, aircraft, in particular transport planes, may encounter situations which significantly degrade the aerodynamics, without the crew being aware thereof. Such a situation may give rise to a surprise effect which may be the cause of an unsuitable reaction from the crew, all the more so since, when the degradation of the aerodynamic performance becomes significant, the flight qualities are modified and the control of the aircraft becomes much more difficult. 
   The causes of degradation of performance that are best known are in particular icing, the absence of deicing on the ground of an iced-up airframe, snow, freezing rain, the application of deicing or anti-icing fluid, the picking up of insects on leading edges, the loss of a part of a leading edge or of a panel of the flying surface. 
   When an aircraft is confronted with one of the aforesaid situations causing a degradation of its performance, its resistance to progress through the air increases and the drag grows. In such a case, if the power is not modified, the aircraft loses speed while it is holding altitude, or the rate of climb drops when it is holding speed, which may of course become very dangerous and is not acceptable. 
   SUMMARY OF THE INVENTION 
   The present invention is aimed at aiding the crew in such situations that are liable to be dangerous. It relates to a method for detecting, simply, rapidly and accurately, a degradation of performance of an aircraft, in particular a degradation of performance which is due to conditions of severe icing of the aircraft. 
   For this purpose, said method is noteworthy according to the invention in that the following sequence of steps is carried out automatically and repetitively:
     a) we compute at least:
       a current weight of the aircraft;   on the basis of said current weight, a theoretical drag of said aircraft; and   a current drag of said aircraft;   
       b) we implement at least a first set of comparisons, which relates to the drag and which comprises at least one comparison between said current drag and said theoretical drag; and   c) we determine whether a degradation of performance of the aircraft exists, at least on the basis of said first set of comparisons.   

   Advantageously, if a degradation of performance of the aircraft is detected in this step c), then at least one corresponding alert message is emitted in a next step d). 
   Thus, by virtue of the invention, it is possible to simply and rapidly detect a degradation of performance of an aircraft, by taking account of the values of drag, including a theoretical drag which is computed on the basis of the estimated weight of the aircraft, and to warn the crew upon such a detection. The crew can then in full knowledge of the facts take all the necessary measures to remedy such a situation which is liable to be dangerous. 
   In a preferred embodiment, in step a):
         said current weight of the aircraft is computed on the basis of the initial weight before the flight and of a consumption of fuel during the flight which depends at least on the altitude of the aircraft during the flight and on the type of said aircraft; and/or   said theoretical drag CXth is computed on the basis of the following expression:
 
 CXth=f 1( CZ   2 )+ f 2( RE )+Δ CXf  
 
in which:
   CZ is a value of drag dependent on the current weight of the aircraft;   f 1 (CZ 2 ) is a function dependent on CZ 2 ;   f 2 (RE) is a function dependent on the Reynolds number RE; and   ΔCXf is a value dependent on CZ 2  and CZ; and/or   said current drag CXa/c is computed on the basis of the following expression:       

             CXa   /   c     =         2   ·   T       R   ·   S   ·     TAS   2         -   G           
in which:
         R is a constant value;   S represents the area of the flying surface of the aircraft;   TAS is a computed air speed;   G is a value dependent on TAS; and   T is a value of traction.       
   The present invention may be implemented regardless of the phase of flight of the aircraft. However, in a preferred embodiment, a check is performed to verify whether the aircraft is or is not in cruising flight, in particular by checking whether a standard mode of capture of altitude is engaged on said aircraft. 
   Advantageously, when, by virtue of the above check, it turns out that the aircraft is not in cruising flight, in step c), we determine whether a degradation of the performance of the aircraft exists, solely on the basis of said first set of comparisons relating to the drag. 
   In this case, advantageously, a degradation of performance of the aircraft is detected if one of the following two conditions A and B, relating to said first set of comparisons, is fulfilled:
         condition A: CXa/c&gt;CXth+ΔCX1, for a predetermined duration;   condition B: CXa/c&gt;CXth+ΔCX2; and
           ΔCXa/c&gt;ΔCXth+ΔCX3
 
for which:
   
           CXa/c is the computed current drag of the aircraft;   CXth is the computed theoretical drag of the aircraft;   ΔCX1, ΔCX2 and ΔCX3 are predetermined values of drag;   ΔCX2 is for example equal to ΔCX1;   ΔCXa/c is a deviation of current drag between two different predetermined instants; and   ΔCXth is a deviation of theoretical drag between two different predetermined instants.       

   Additionally, when, by virtue of the above check, it turns out that the aircraft is in cruising flight:
         in step a), a theoretical cruising speed is computed on the basis of said current weight of the aircraft, and a current speed of the aircraft is measured;   in step b), a second set of comparisons is implemented, which relates to the speed and which comprises at least one comparison between said current speed and said theoretical cruising speed; and   in step c), we determine whether a degradation of performance of the aircraft exists, likewise on the basis of said second set of comparisons relating to the speed, therefore on the basis of both said first and second sets of comparisons relating respectively to the drag and to the speed.       

   In this case, advantageously, in step a), said theoretical cruising speed is computed on the basis of the current weight of the aircraft, of a measured altitude of the aircraft and of a deviation of temperature between a standard temperature and a measured temperature. 
   Moreover, advantageously, in step c), a degradation of performance of the aircraft in cruising flight is detected if one of the following two conditions C and D, relating to said first and second sets of comparisons, is fulfilled:
         condition C: CXa/c&gt;CXth+ΔCX4; and
           IAS&lt;IASth−ΔIAS1, for a predetermined duration;   
           condition D: CXa/c&gt;CXth+ΔCX4; and
           IAS&lt;IASth−ΔIAS1; and   ΔCXa/c&gt;ΔCXth+ΔCX5
 
for which, in addition to the aforementioned parameters:
   
           ΔCX4 and ΔCX5 are predetermined values of drag;   IAS is the measured speed of the aircraft;   IASth is the computed theoretical cruising speed; and   ΔIAS1 is a predetermined deviation in speed.       

   When neither of the aforesaid conditions C and D is fulfilled in cruising flight, advantageously, in step c), a degradation of performance of the aircraft is detected if one of the following two conditions E and F, relating to said first and second sets of comparisons, is fulfilled:
         condition E: CXa/c&gt;CXth+ΔCX6; and
           IAS&lt;IASth−ΔIAS2, for a predetermined duration;   
           condition F: CXa/c&gt;CXth+ΔCX6;
           IAS&lt;IASth−ΔIAS2; and   ΔCXa/c&gt;ΔCXth+ΔCX7
 
for which, in addition to the aforementioned parameters:
   
           ΔCX6 and ΔCX7 are predetermined values of drag;   ΔCX6 is less than ΔCX4;   ΔCX7 is for example equal to ΔCX5;   ΔIAS2 is a predetermined deviation of speed; and   ΔIAS2 is greater than ΔIAS1.       

   Furthermore, advantageously, if none of the aforementioned conditions C, D, E and F is fulfilled in cruising flight, a check is performed to verify whether one of the two following conditions G and H, relating to said first and second sets of comparisons, is fulfilled:
         condition G:
           CXa/c&gt;CXth+ΔCX8; and   IAS&lt;IASth−ΔIAS3, for a predetermined duration,   
           condition H:
           CXa/c&gt;CXth+ΔCX8;   IAS&lt;IASth−ΔIAS3; and   ΔCXa/c&gt;ΔCXth+ΔCX9,
 
for which:
   
           ΔCX8 and ΔCX9 are predetermined drag values, ΔCX8 being less than ΔCX6; and   ΔIAS3 is a predetermined deviation of speed, which is less than ΔIAS1 and than ΔIAS2; and   if one of said conditions G and H is fulfilled, a message indicating that the cruising speed is low is emitted in step d).       

   Additionally, in a particular embodiment, when a degradation of performance is detected, regardless of the flight phase:
         a measured speed IAS (in particular the speed indicated by an anemometer) is compared with a computed minimum operational speed MSIS, relating to severe icing conditions; and   if said speed IAS is less than said speed MSIS, a message requesting an increase in speed is emitted.       

   Furthermore, advantageously:
         steps a) to c) mentioned above are carried out only if flaps and the landing gear of the aircraft are retracted; and/or   steps b) and c) mentioned above are carried out only if at least one icing condition specified below is fulfilled and additionally if a measured static air temperature is greater than a predetermined value.       

   The present invention also relates to a device for detecting and warning of degradation of performance of an aircraft. 
   According to the invention, said device of the type comprising:
         a set of information sources;   a central unit connected to said set of information sources and able to detect a degradation of performance of an aircraft; and   warning means connected to said central unit, is noteworthy in that said central unit comprises:   means for computing at least one current weight of the aircraft, a current drag of said aircraft and, on the basis of said current weight, a theoretical drag of said aircraft;   means for implementing at least one first set of comparisons, which relates to the drag and which comprises at least one comparison between said current drag and said theoretical drag; and   means for determining whether a degradation of performance of the aircraft exists, at least on the basis of said first set of comparisons.       

   Moreover, advantageously, said central unit furthermore comprises:
         means for computing a theoretical cruising speed, on the basis of said current weight of the aircraft;   means for measuring a current speed of the aircraft;   means for carrying out a second set of comparisons, which relates to the speed and which comprises at least one comparison between said current speed and said theoretical cruising speed; and   means for determining whether a degradation of performance of the aircraft exists, likewise on the basis of said second set of comparisons relating to the speed.       

   Additionally, in a preferred embodiment:
         said set of information sources comprises a flight data acquisition unit, of FDAU type, which, in standard fashion, carries out the acquisition of data for a flight data logger, of FDR type (“Flight Data Recorder”); and/or   said warning means, which are intended to warn the crew of a degradation of performance or of a low speed, comprise a aircraft performance interface unit of APIU type which, in standard fashion, carries out the management of the signaling, as well as the recording of messages in a flight data recorder of the aforesaid FDR type.       

   Said warning means may be of visual type and/or of audible type. 

   
     BRIEF DESCRIPTION OF THE DRAWINGS 
     The figures of the appended drawing will elucidate the manner in which the invention may be embodied. In these figures, identical references designate similar elements. 
       FIG. 1  is the schematic diagram of a device in accordance with the invention. 
       FIG. 2  is a chart showing the successive steps of a method implemented by the device in accordance with the invention. 
   

   DETAILED DESCRIPTION OF THE INVENTION 
   The device  1  in accordance with the invention and represented diagrammatically in  FIG. 1  is a device for detecting and warning of degradation of performance of an aircraft (not represented), in particular of a transport plane. Although not exclusively, said device  1  is intended more especially for detecting a degradation of performance due to a problem of severe or excessive icing on the aircraft. 
   To do this, said device  1  which is carried on board the aircraft, is of the type comprising:
         a set  2  of the information sources;   a central unit  3  connected by way of a link  4  to said set  2  of information sources and able to detect a degradation of performance of said aircraft; and   warning means  5  which are connected by way of a link  6  to said central unit  3 .       

   According to the invention, said central unit  3  comprises:
         means  7  for computing at least one current weight W of the aircraft;   means  8  which are connected by way of a link  9  to said means  7 , for computing a current drag CXa/c of said aircraft and, on the basis of said current weight W, a theoretical drag CXth of said aircraft;   means  10  which are connected by way of a link  11  to said means  8 , for implementing at least a first set of comparisons, which relates to the drag and which comprises at least one comparison between said current drag CXa/c and said theoretical drag CXth; and   means  12  which are connected by way of a link  13  to said means  10 , for determining whether a degradation of performance of the aircraft exists, at least on the basis of said first set of comparisons.       

   Thus, by virtue of the invention, said device  1  is able, on the one hand, to detect simply and rapidly a degradation of performance of an aircraft, by taking account of the values of drag CXa/c and CXth, of which the theoretical drag CXth is computed on the basis of the estimated weight W of the aircraft, and, on the other hand, to warn the crew upon such a detection, by way of said warning means  5 . 
   In a particular embodiment, said means  7  computes said current weight W of the aircraft, on the basis of the initial weight WO before the flight and of a consumption of fuel during the flight which depends at least on the altitude of the aircraft during said flight and on the type of said aircraft. This computation is carried out, for example each second, starting from the takeoff of the aircraft until its final landing. To do this, said initial weight WO may be input by a crew member into the device  1 , with the aid for example of an actuable rotator forming part of said set  2 . As regards the consumption of fuel, it may be presented on an array, as a function of the altitude and possibly of the speed of the aircraft (unless taking account of a predetermined maximum speed for each of the various phases of flight), said array possibly being recorded directly in said means  7  or in a database (not represented) of said device  1 . 
   Furthermore, said means  8  compute said theoretical drag CXth, on the basis of the following expression:
 
 CXth=f 1( CZ   2 )+ f 2( RE )+Δ CXf  
 
in which:
         CZ is a value of drag specified below, dependent on the current weight W computed;   f 1 (CZ 2 ) is a function dependent on CZ 2 ;   f 2 (RE) is a function dependent on the Reynolds number RE; and   ΔCXf is a value dependent on CZ 2  and CZ.       

   The functions f 1 (CZ 2 ) and f 2 (RE) may be presented in the form of arrays which may be defined empirically. Moreover:
         said value CZ may be computed with the aid of the following expression:       

           CZ   =       2   ·   W   ·   g       ρ   ·   S   ·     TAS   2               
in which:
         g is the acceleration due to gravity;   ρ is the density of the air;   S is the area of the flying surface of the aircraft; and   TAS is an air speed computed in a standard fashion; and   said value ΔCXf may be computed with the aid of the following expression:
 
Δ CXf=A 1 .CZ   2   +A 2 .CZ+A 3
 
with A1, A2 and A3 predetermined coefficients, defined for example empirically.
       
   Additionally, said means  8  compute said current drag CXa/c on the basis of the following expression: 
             CXa   /   c     =         2   ·   T       R   ·   S   ·     TAS   2         -   G           
in which:
         R is a constant value (ideal gas constant);   S represents the area of the flying surface of the aircraft;   TAS is a computed air speed;   G is a value dependent on TAS and on a geometric altitude Zg; and   T is a value of traction.       
   The present invention may be implemented regardless of the phase of flight (climbing, cruising, descending) of the aircraft. However, this implementation depends on the phase of flight. As will be seen in greater detail hereinbelow, in the cruising phase, values of drag of the aircraft and speed values specified hereinbelow will be taken into account, whereas in the other phases of flight, only said values of drag will be taken into account. 
   Also, said central unit  3  moreover comprises:
         means  14 , which are connected by way of a link  15  to said means  7 , for computing a theoretical cruising speed IASth, on the basis of said current weight W of the aircraft;   means which are for example integrated into the set  2 , for measuring a current speed IAS of the aircraft; and   means  16  which are connected by a link  17  to said means  14 , for carrying out a second set of comparisons, which relates to the speed and which comprises at least one comparison between said current speed IAS and said theoretical cruising speed IASth.       

   Moreover, said means  12  which are aimed at determining whether a degradation of performance of the aircraft exists, may also take account (depending on the phase of flight) of said second set of comparisons relating to the speed, received by way of a link  18  from said means  16 . 
   Said means  14  compute said theoretical cruising speed IASth on the basis of the current weight W of the aircraft, of a measured altitude Zp of the aircraft, and of a deviation of temperature ΔISA between a standard temperature Tstd and a measured static air temperature SAT. 
   In a preferred embodiment, said means  14  use to do this the following expression:
 
 IASth=a 0 +a 1 .W+a 2 .W   2   +a 3 .ΔISA+a 4 .W.ΔISA+a 5 .ΔISA   2   +a 6 .Zp+a 7 .Zp.W+a 8 .Zp.ΔISA+a 9 . Zp   2  
 
   The parameters a0 to a9 are predetermined values dependant on the type of aircraft considered and defined for example empirically. 
   Additionally, the device  1  in accordance with the invention also comprises means forming for example part of the set  2 , for checking whether the aircraft is or is not in cruising flight. For this purpose, these means check for example whether a standard mode of altitude capture is engaged on said aircraft, and this is done for a predetermined duration, for example from 2 minutes. 
   When, by virtue of the above check, it turns out that the aircraft is not in cruising flight (altitude capture mode not engaged or not engaged for the aforesaid predetermined duration), said means  12  determine whether a degradation of performance of the aircraft exists, solely on the basis of said first set of comparisons relating to the drag, received from said means  10 . 
   In this case, said means  12  detect a degradation of performance of the aircraft if one of the following two conditions A and B relating to said first set of comparisons is fulfilled:
         condition A: CXa/c&gt;CXth+ΔCX1, for a predetermined duration, for example 30 seconds;   condition B: CXa/c&gt;CXth+ΔCX2; and
           ΔCXa/c&gt;ΔCXth+ΔCX3
 
for which:
   
           CXa/c is the computed current drag of the aircraft;   CXth is thus the computed theoretical drag of the aircraft;   ΔCX1, ΔCX2 and ΔCX3 are predetermined values of drag;   ΔCX2 is equal to ΔCX1;   ΔCXa/c is a deviation of current drag CXa/c between two different predetermined instants t1 and t2, for example the current instant t1 and a previous instant t2 corresponding to a predetermined duration (for example 30 seconds) before the current instant t1. Thus, ΔCXa/c=CXa/c(t1)−CXa/c(t2); and   ΔCXth is a deviation of theoretical drag CXth between two different aforementioned instants t1 and t2: ΔCXth=CXth(t1)−CXth(t2).       

   On the other hand, when, by virtue of the above check, it turns out that the aircraft is in cruising flight (altitude capture mode engaged), the means  12  determine whether a degradation of performance of the aircraft exists, likewise on the basis of said second set of comparisons relating to the speed, received from said means  16  (in addition to said first set of comparisons relating to the drag, received from said means  10 ). 
   In this case, said means  12  detect a degradation of performance of the aircraft if one of the following two conditions C and D, relating to said first and second sets of comparisons, is fulfilled:
         condition C: CXa/c&gt;CXth+ΔCX4; and
           IAS&lt;IASth−ΔIAS1, for a predetermined duration, for example 30 seconds;   
           condition D: CXa/c&gt;CXth+ΔCX4; and
           IAS&lt;IASth−ΔIAS1; and   ΔCXa/c&gt;ΔCXth+ΔCX5
 
for which, in addition to the aforesaid parameters:
   
           ΔCX4 and ΔCX5 are predetermined values of drag;   IAS is thus the measured current speed of the aircraft;   IASth is thus the computed theoretical cruising speed; and   ΔIAS1 is a predetermined deviation in speed.       

   When neither of the aforesaid conditions C and D is fulfilled in cruising flight, said means  12  check conditions E and F and detect a degradation of performance of the aircraft if one of said following two conditions E and F relating to said first and second sets of comparisons is fulfilled:
         condition E: CXa/c&gt;CXth+ΔCX6; and
           IAS&lt;IASth−ΔIAS2, for a predetermined duration, for example 30 seconds;   
           condition F: CXa/c&gt;CXth+ΔCX6;
           IAS&lt;IASth−ΔIAS2; and   ΔCXa/c&gt;ΔCXth+ΔCX7
 
for which, in addition to the aforesaid parameters:
   
           ΔCX6 and ΔCX7 are predetermined values of drag;   ΔCX6 is less than ΔCX4;   ΔCX7 is for example equal to ΔCX5;   ΔIAS2 is a predetermined deviation of speed;   ΔIAS2 is greater than ΔIAS1;       

   If, during one of the aforesaid checks, a degradation of performance of the aircraft is detected, said warning means  5  emit at least one appropriate corresponding alert message. To do this, said warning means  5  may comprise:
         at least one viewing screen  19  for displaying alert messages; and/or   standard audible means  20 ,
 
which are provided in the flight deck of the aircraft.
       

   Additionally, if none of the conditions C, D E and F above is fulfilled in the cruising phase, said means  12  check whether one of the following conditions G and H is fulfilled:
         condition G:
           CXa/c&gt;CXth+ΔCX8; and   IAS&lt;IASth−IAS3, for a predetermined time,   
           condition H:
           CXa/c&gt;CXth+ΔCX8;   IAS&lt;IASth−ΔIAS3; and   ΔCXa/c&gt;ΔCXth+ΔCX9,
 
in which:
   
           ΔCX8 and ΔCX9 are predetermined drag values, ΔCX8 being less than ΔCX6; and   ΔIAS3 is a predetermined deviation of speed, which is less than ΔIAS1 and than ΔIAS2; and   if one of said conditions G and H is fulfilled, said warning means  5  emit a message indicating that the cruising speed is low.       

   Additionally, in a particular embodiment, when the central unit  3  detects a degradation of performance:
         it compares a measured speed IAS with a computed minimum operational speed MSIS, relating to severe icing conditions; and   if said speed IAS is less than said speed MSIS, said warning means  5  emit a message requesting an increase in speed.       

   Said speed MSIS is computed on the basis of the following expressions: 
                 {           MSIS   =     MIS   +   VO                 MIS   =     K   ·   Vs                 Vs   =       (       γ   ·   R   ·   TO   ·   5     ⁢       {       PO   /     P   ⁡     [         (     1   +     0.2   ·     Ms   2         )         γ   /   γ     -   1       -   1     ]         +   1     }         (     γ   -   1     )     /   γ         )       1   /   2                   Ms   =       [       (     W   ·   g     )     /     (       0.7   ·   P   ·   S   ·   CZ     ⁢           ⁢   max     )       ]       1   /   2                       
in which, in addition to the aforesaid parameters:
         VO is a predetermined speed value;   K is a predetermined coefficient;   R is the ideal gas constant;   TO is the standard temperature at sea level;   γ is a predetermined value;   P is the static pressure at the level of the aircraft;   PO is the static pressure at sea level; and   CZmax is a predetermined value.       
   In a particular embodiment:
         said means  8  and  14  carry out the aforesaid computations, generally every second, only if flaps and the landing gear of the aircraft are retracted. Such a retraction is checked with the aid of standard means forming for example part of the set  2  of information sources; and   said means  10 ,  12  and  16  carry out the comparisons and the aforesaid processing operations, only if the static air temperature SAT measured is greater than a predetermined value, for example 5° C., and if one of the following icing conditions is fulfilled:   an accretion of ice has already been detected during the flight in progress;   a luminous icing indicator is lit;   a system for deicing the fuselage of the aircraft is operational.       

   Additionally, in a preferred embodiment:
         said set  2  of information sources comprises a flight data acquisition unit, of FDAU type which, in standard fashion, carries out the acquisition of data for a flight data logger (not represented), of FDR type (“Flight Data Recorder”); and/or   said warning means  5  comprise an aircraft performance interface unit of APIU type which, in standard fashion, carries out the management of the signaling, as well as the recording of messages in a flight data recorder of the aforesaid FDR type.       

   The method implemented by the device  1  in accordance with the invention is presented hereinafter with reference to the chart of  FIG. 2 . 
   This method comprises:
         a preliminary step E 1  of inputting the initial weight WO into the device  1 ;   a computation step E 2  for computing the current weight W (means  7 );   a verification step E 3  for checking whether the flaps and the landing gear of the aircraft are retracted. If the response is negative (“N” standing for “no”), we return to step E 2 , otherwise (“Y” for “yes”), we go to a computation step E 4 , then to a verification step E 5 ;   said computation step E 4  for computing:   the current drag CXa/c;   the theoretical drag CXth;   the deviation of current drag ΔCXa/c;   the deviation of theoretical drag ΔCXth;   the theoretical cruising speed IASth; and   the minimum operational speed MSIS;   said verification step E 5  for checking whether at least one of the aforesaid icing conditions is fulfilled and whether a static air temperature SAT measured is greater than a predetermined value. If the response is negative, we return to step E 2 , otherwise we go to a verification step E 6 ;   said verification step E 6  for checking whether the aircraft is or is not in cruising flight:   if it is not, we go to a verification step E 7 ; and   if it is, we go to a verification step E 8 ;   said verification step E 7  for checking whether the aforesaid conditions A and B are fulfilled:   if they are, we go to a step E 9 , then to a step E 10 ; and   if they are not, we return to step E 2 ;   said step E 9  of emitting a message alerting the crew of a degradation of performance (warning means  5 );   said step E 10  of comparing the speed IAS with the speed MSIS. If the speed IAS is greater than or equal to the speed MSIS, we return to step E 2 , otherwise we go to a step E 11 ;   said step E 11  of emitting a message requesting an increase in speed (warning means  5 );   said verification step E 8  for checking in cruising flight whether the aforesaid conditions C and D are fulfilled:   if they are, we go to said step E 9 ; and   if they are not, we go to a step E 12 ;   said verification step E 12  for checking in cruising flight whether the aforesaid conditions E and F are fulfilled:   if they are, we go to said step E 9 ; and   if they are not, we go to a verification step E 13 ;   said verification step E 13  for checking in cruising flight whether either of the aforesaid conditions G or H is fulfilled:   if not, we return to said step E 2 ; and   if so, we go to a step E 14 ;   said step E 14  of emitting a message indicating that the cruising speed is low (warning means  5 ).