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Long-Range
3 - All engines operating cruise speeds
A project supported by AIRBUS and the CAAC
Date of the module
Decrease of 1% in SR max
 Long-Range
Mach
SR
.70 .80 .90
-1%
MR LR
Given :
- altitude
Flying at Long-Range cruise
enables a greater speed than
MR, and a relatively low fuel
consumption
3 - All engines operating cruise speeds
A project supported by AIRBUS and the CAAC
Date of the module
 Long-Range :
 influence of weight
Long-Range Mach decreases
the same way as MR Mach
Mach
SR
.70 .80 .90
-1%
-1%
-1%
LRC
burn off
Given :
MR - altitude
3 - All engines operating cruise speeds
A project supported by AIRBUS and the CAAC
Date of the module
-1%
-1%
-1%
 Constant Mach :
Mach
SR
.70 .80 .90
LRC
burn off
constant M
Given :
MR - altitude
3 - All engines operating cruise speeds
easier to remember ! (it is the
same whatever altitude and
weight are)
but doesn't follow the
optimum (especially when
there is no change in altitude)
A project supported by AIRBUS and the CAAC
Date of the module
 Goal : minimize D.O.C.
3 - All engines operating cruise speeds
A project supported by AIRBUS and the CAAC
Date of the module
 Goal : minimize D.O.C.
 For a given trip :
 Fuel consumption related costs : CF . TF
 CF : Cost of fuel unit
 TF : Trip fuel
3 - All engines operating cruise speeds
A project supported by AIRBUS and the CAAC
Date of the module
 Goal : minimize D.O.C.
 For a given trip :
 Fuel consumption related costs : CF . TF
 Flight time related costs : CT . t
 CT : Time related costs per flight hour
– hourly maintenance costs
– crew wages
 t : Block time
3 - All engines operating cruise speeds
A project supported by AIRBUS and the CAAC
Date of the module
 Goal : minimize D.O.C.
 For a given trip :
 Fuel consumption related costs : CF . TF
 Flight time related costs : CT . t
 Fixed costs : CC
 cyclic maintenance costs
 airport operational taxes
 operating charges, insurance...
3 - All engines operating cruise speeds
A project supported by AIRBUS and the CAAC
Date of the module
Goal : minimize D.O.C.
For a given trip :
 Fuel consumption related costs : CF . TF
 Flight time related costs : CT . t
 Fixed costs : CC
DOC = CF . TF + CT . t + CC
3 - All engines operating cruise speeds
A project supported by AIRBUS and the CAAC
Date of the module
For one nautical mile :
DOC1nm = CF . 1+ CT . 1 +
V
CC
D
Fuel consumption
related costs
Time
related costs
Fixed costs
SR
3 - All engines operating cruise speeds
A project supported by AIRBUS and the CAAC
Date of the module
Costs
Mach
MR
LRC
Cost of fuel
Cost of time
Fixed costs
ECON
Given weight and altitude
DOC
3 - All engines operating cruise speeds
A project supported by AIRBUS and the CAAC
Date of the module
Costs
Mach
ECON
MR
LRC
Cost of fuel
Cost of time
Fixed costs
Given weight and altitude
ECON Mach is linked to MR Mach : DOC
when aircraft weight decreases,
ECON Mach decreases.
3 - All engines operating cruise speeds
A project supported by AIRBUS and the CAAC
Date of the module
 Minimum DOC :
dDOC
dM
= 0
3 - All engines operating cruise speeds
1
dDOC SR
dM
= CF + CT
-1
aM2
d( )
dM
A project supported by AIRBUS and the CAAC
Date of the module
 Minimum DOC :
1
SR
CF
d( )
dM
+ CT
-1
aM2 = 0
M2
1
SR
d( )
dM
=
CT
CF
1a
COST INDEX
3 - All engines operating cruise speeds
A project supported by AIRBUS and the CAAC
Date of the module
 The ECON Mach depends on COST INDEX
3 - All engines operating cruise speeds
A project supported by AIRBUS and the CAAC
Date of the module
 The ECON Mach depends on COST INDEX
 Cost of time
 Cost of fuel

　
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