Formelsammlung 30.5.23
Formelsammlung 30.5.23
Volume
Units 1 1 US Gal = 3,785 l
Air Law 2 1 imp gal = 4,55 l
general/other . . . . . . . . . . . . . . . . . 2
SERA . . . . . . . . . . . . . . . . . . . . . 2 Pressure
procedure design . . . . . . . . . . . . . . . 3
1 bar = 14.5 psi
separation . . . . . . . . . . . . . . . . . . . 3
1 bar = 105 Pa = 1000 hPa
ATS . . . . . . . . . . . . . . . . . . . . . . 4
aerodromes, SAR . . . . . . . . . . . . . . . 4
AFS 5 Temperatures
Instruments 6
gyro/compass . . . . . . . . . . . . . . . . . 6 T[F ] = 1.8 · T[C] + 32
warnings . . . . . . . . . . . . . . . . . . . . 6
T[K] = T[C] + 273, 15
autopilot . . . . . . . . . . . . . . . . . . . 6
Mass and Balance 7
Performance 8 Distances
General . . . . . . . . . . . . . . . . . . . . 8 1 sm = 1609 m
Enroute . . . . . . . . . . . . . . . . . . . . 8 1 nm = 1852 m
Landing . . . . . . . . . . . . . . . . . . . . 8 1 inch = 2.54 cm
take-off speeds . . . . . . . . . . . . . . . . 9
take-off climb . . . . . . . . . . . . . . . . . 9
take-off safety factors . . . . . . . . . . . . . 10
FPL 11
fuel planning . . . . . . . . . . . . . . . . . 11
IFR . . . . . . . . . . . . . . . . . . . . . . 11
planning minima/OPS stuff . . . . . . . . . 12
HPL 13
Met 14
climate . . . . . . . . . . . . . . . . . . . . 15
met info . . . . . . . . . . . . . . . . . . . . 15
GNav 16
RNav 17
OPS 19
General . . . . . . . . . . . . . . . . . . . . 19
ORO/FTL . . . . . . . . . . . . . . . . . . 19
NAT . . . . . . . . . . . . . . . . . . . . . . 20
CAT.OP . . . . . . . . . . . . . . . . . . . . 20
CAT.IDE . . . . . . . . . . . . . . . . . . . 21
POF 22
Comms 23
Air Law
general/other SERA
regulations Minimum Heights
2018/1139 / 216/2008 basic regulation OCH radius
748/2012 airworthiness VFR, congested areas 1000ft 600m
1178/2012 flight crew licensing VFR, day 500ft 150m
965/2012 air operations IFR/VFR night 1000ft 8km
376/2014 occurrence reporting IFR/VFR night, mount. 2000ft 8km
996/2010 occurrence investigations unless otherwise prescribed, also see FPL section
2017/373 ATM/ANS
Doc 9643 operations on parallel runways lost comms - IMC
• maintain speed+FL for 7 min, or 20 min if no radar
AIC color • counts from reaching altitude, missed rep. point or setting 7600, whichever
is later
white administrative
• resume currently valid flight plan, turn immediately to next waypoint if vec-
yellow ATC
tored
pink safety • arrive withing 30 min of ETA or EAT, whichever is later
mauve danger areas
green maps/charts
VMC Minima
dist cloud vis
parallel runway operations - modes
> FL100 1000 ft, 1500 m 8 km
mode 1 independent parallel approaches < FL100 1000 ft, 1500 m 5 km
mode 2 dependent parallel approaches < 3000ft/1000ft AGL:
mode 3 independent departures A,B,C,D,E 1000 ft, 1500 m 5 km*
mode 4 segregated operations F,G clear of cloud 5 km*
* 1500m (IAS < 140 kts), helicopter 800m
parallel runway operations - mixture of modes
independent parallel operations RWY 1+2 do the same VFR Minima CTR
mixed operations RWY 1+2 both do both ceiling vis IAS
semi mixed RWY 1 only one type, RWY 2 does both VFR 1500 ft 5000 m -
segregated operations RWY 1 departure, RWY 2 arrivals Special VFR 600 ft 1500 m ≤ 140 kt
• offset sector 70 ◦
• offset entry turn 30 ◦
• zone flexibility 5 ◦
• outbound timing:
≤ 14 000 ft 1 min
> 14 000 ft 1.5 min
• buffer area 5 NM
• holding area includes entries
• DME arc entry only 1 and 3 /
parallel or direct
ATS aerodromes, SAR
airspace classes lighting systems
class separation service speed lim radio+clearance system dimension approaches
A IFR All ATC ✗ ✓ 420m total NPA: when practiable
IFR All ATC ✗ ✓ SALS
B 30m crossbar at 300m visual: recommended
VFR All ATC ✗ ✓ 900m total, min. 720m
IFR IFR/all ATC ✗ ✓ PALS CAT I
C 30m crossbar at 300m
VFR VFR/IFR ATC, FIS ✓ ✓ 30m crossbar at 150m
IFR IFR/IFR ATC ✓ ✓ PALS CAT II/III + CAT II/III
D red lights to THR
VFR - ATC (FIS) ✓ ✓
IFR IFR/IFR ATC ✓ ✓
E SAR - symbols
VFR - FIS as pract. ✓ ✗
IFR IFR/IFR as pract. advisory ✓ ✗ by survivors by rescue team
F
VFR - FIS on req. ✓ ✗ require assistance operation completed
IFR - FIS on req. ✓ ✗ require medical assistance found everybody
G
VFR - FIS on req. ✓ ✗
no found some, still counting
SERA.6001/SERA.5025(b)
yes returning to base
random facts
proceeding in direction divided in groups
FPL deviation 5 % TAS, 10 kts, 2 min aircraft in this direction
FPL cancelled controlled 30min EOBT
uncontrolled 60min EOBT
max FL VFR FL200 SAR boxes color
TMA/CTA height ≥ 700 ft red medical, first aid
CTR extent 5 NM in approach direction blue food, water
changeover points 60 NM yellow blankets, clothing
black other
approach facts
rep. wind change TWC 2, XWC 5, HWC 10
speed instruction max 20 kts, none when < 4 NM from THR
intercept angle LOC 45 ◦ , independent parallel approaches 30 ◦
unfamiliar approach ATC: final approach track, initial level, procedure turn
batteries
lead acid NiCd Li-Ion/Li-Po
cell voltage 2.0 V 1.2 V 3.6 V
electrolyte H2 SO4 KOH anhydrous/polymere
voltage when
steadily decrease constant, then drop constant, then drop
discharging
temp danger - runaway danger runaway danger
weight high low very low
temp range -40 ◦ C - 50 ◦ C -40 ◦ C - 60 ◦ C 0 ◦ C - 40 ◦ C
compression ratios
type per stage overall
centrifugal 1:5 1:12
axial 1:1.2 1:35
cabin pressurisation
normal cabin pressure altitude 6000-8000 ft
cabin differential pressure 8-9 psi
piston engines
thermal efficiency 30 %
Instruments
temperature warnings
2
Ttot = Tstat · 1 + 0.2 · Kr · M EGPWS Color Codes
magenta unknown
misc red > 2000 ft above
capacitance (general) C = Vq amber 1000 - 2000 ft above
A
capacitance (capacitor) C =ϵ· d light yellow 500 ft below - 1000 ft above
dark green 1000 - 500 ft below
light green 2000 - 1000 ft below
black > 2000 ft below
gyro/compass
direct reading compass EGPWS Alerting Times
turning N/S UNOS, E = bank+latitude Caution 40-60s
2
accelerating W/E (WE)ANDS Warning 20-30s
liquid swirl (L)INDS
TCAS low altitude inhibitions
directional gyro < 1500 ft AGL no INCREASE DESCENT -RA
• apparent wander: on NH drifting right, heading gets smaller, 15 · sin ϕ < 1000 ft AGL no RA at all
< 800 ft AGL no voice commands
attitude indicator
• acceleration: pitch up, deceleration: pitch down
• turn error: pitch always too high, bank like ”− sin” autopilot
speed/pitch-priority
priority autopilot pitch channel autothrust
ALT
pitch V/SPEED SPEED
priority FPA MACH
VNAV
THR CLB
speed OP DES IDLE
priority OP CLB N1, FLEX
TOGA
series/parallel autpilot
parallel controls move with autopilot, Boeing
series controls dont move, Airbus
Mass and Balance
BEM • CG deviations < ±0.5% MAC aeroplanes (n) number weighed (w)
+VL • weight deviation < ±0.5% MLM 2-3 n
• individual aeroplanes weighed at n+3
DOM 4-9
F + least every 9 yrs 2
TL n + 51
TO • every 4 years, w aeroplanes are > 10
+ operational items 10
VL variable load weighed, see table
OM +UL ZFM crew/ crew baggage
AMC2 CAT.POL.MAB.100(b)
+ F UL useful load TL + useable fuel
TL
TO Volume
+
TOM 1 US Gal = 3,785 l
+T
F ax 1 imp gal = 4,55 l
-T i
LM RM
General Enroute
performance classes net driftdown flight path
multi-jet multi-turboprop piston increase driftdown gradient by...
MTOM > 5,7t or MOPSC > 9 A A C Class B: 0.5%
MTOM ≤ 5,7t and MOPSC ≤ 9 A B B Class A: 1.1% for 2-engined
⇒1-4-6
1.4% for 3-engined
1.6% for 4-engined
aquaplaning
p
Dynamic - Non-rotating tyre: · tire pressure [psi]
7.7p
Dynamic - Rotating tyre: 9 · tire pressure [psi]
Viscous: rubber layer near touchdown zone Landing
Vref
optimum speeds
Class B: Vref ≥ max VMC,T/O flaps , 1.3 · VS0 /1.23 · VSR0
vMP vMD 1.32 · vMD Class A: Vref ≥ max {VMCL , 1.23 · VSR0 }
both glide ROD glide angle -
prop vX vY (bit smaller then vMD ) -
Landing - commercial factors
jet - vX vY
Class B, Class A Turboprop: LDA ≥ 1.43 · LDAFM / 0.7 · LDA ≥ LDAFM
clearway - dimension Class A, Jet: LDA ≥ 1.67 · LDAFM / 0.6 · LDA ≥ LDAFM
CAT.POL.A.330, CAT.POL.A.230
length < 0.5· TORA
width > 500 ft Landing - surface factors
wet: 1.15
cost index grass: 1.15
general operating costs
CI = min. (balked) landing climb gradient (AEO)
fuel costs
Class B: 2.5% (Cessna 250) • OEI, other engine TOGA
Class A: 3.2% (A320) • landing flaps
• gear extended
CS 25.119
class A - TORR
greatest of:
• AEO (wet+dry): 1.15 · [BRP → VLOF + 0.5 · (VLOF → 35 ft)]
• OEI (dry): BRP → VLOF + 0.5 · (VLOF → 35 ft)
• OEI (wet): TOD to 15ft
class A - TODR
greatest of:
• AEO (wet, dry): 1.15 · TOD
• OEI, dry: TOD to 35ft
• OEI, wet: TOD to 15ft
class A - ASDR
greatest of:
• AEO (wet): BRP → V1 → 2s → stop
• OEI (wet): BRP → engine failure at VEF → V1 → 2s → stop
• dry runway ASD
V1 - factors
mass ↗ ↗ higher CAS at liftoff
config ↗ ↘ lower CAS at liftoff
pressure alt ↗ ↗ higher GS for same CAS
slope ↗ ↗ stop distance gets less
headwind ↗ ↗ lower GS for same CAS, less stop dist
CWY > SWY ↘ more OEI TOD available
SWY > CWY ↗ more ASD available
FPL
IFR
contingency fuel
• minimum: 5min at 1500ft AGL at holding speed minimum flight altitude
• normally: at least 5% of TF
• fuel monitoring scheme, any of: variation elevation MOCA
– 3% if fuel ERA (check rules) < 3000 ft 1000 ft
for route design
– 20 min flying at cruise FF 3000 ft - 5000 ft 1500 ft
– fuel determined by monitoring program > 5000 ft 2000 ft
AMC6 CAT.OP.MPA.181
elevation MOCA
by operator (KSS Formula) < 6000 ft 1000 ft
isolated aerodrome / PDP procedure > 6000 ft 2000 ft
fuel is the greater of: normal 1000 ft
• normal flight to destination via the PNR MSA/not otherwise established
mountaneous 2000 ft
– no alternate or FRF
piston min{45min + 15% cruise; 2 hrs} GM1 CAT.OP.MPA.145a
– additional fuel:
jet 2 hrs, cruise consumption airway altitudes
• flight to the fuel ERA AD via the PNR
MOCA 3000T • clearance see above
– no alternate or FRF
piston 45 min holding at 1500 ft • clearance see above
– additional fuel: (=FRF) MORA 3000a • 10 NM L and R of route
turbine 30 min holding at 1500 ft
• 10 NM radius around endpoints
•
AMC7 CAT.OP.MPA.182
clearance see above
reduced contingency fuel procedure MEA 3000 • navaid reception
fuel is the greater of: • airspace considerations
MAA MAA 3000 • maximum altitude
• trip fuel DEP → DP → DEST 1 • trip fuel DEP → DP → DEST 2
• contingency fuel only for • normal contingency fuel to DEST
DP → DEST 1, 5% rule 2 (any rule)
• alternate fuel, or none, if less than • alternate fuel, if required
6 hrs from DP • FRF/additional/extra/PIC
• normal FRF/additional/extra/PIC
AMC6 CAT.OP.MPA.181
planning minima/OPS stuff
max distance to takeoff alternate
2-engine, non-ETOPS 60min at OEI
2-engine, ETOPS 120m at OEI
3,4-engine 120min, AEO
SET-IMC 30min
AMC1 CAT.OP.MPA.182
planning minima
for which airport? approach min ceiling min RVR/vis
destination/ type B - type B
takeoff alternate type A/circ type A/circ MDH type A/circ
CAT II/III - CAT I
ALTN/
CAT I NPA MDH NPA
fuel ERA/
NPA NPA MDH + 200 ft NPA + 1000 m
isolated AD
circling circling MDH circling
ETOPS ALTN/ type B DH + 200 ft type B + 800 m
new regulation type A/circ MDH + 400 ft type A + 1500 m
AMC5 CAT.OP.MPA.182, AMC6 CAT.OP.MPA.182
BMI
underweight < 18.5
mass [kg] normal 18.5 - 24.9
BMI = 2
(height [m]) overweight 25.0 - 29.9
obese ≥ 30
hypoxia altitudes
0 - 6 000 ft indifferent zone
5 000 ft night vision effects
6 000 - 8 000 ft normal cabin pressure
6 000 - 15 000 ft compensatory zone
10 000 - 12 000 ft effects start
15 000 - 20 000 ft disturbance zone
> 20 000 ft critical zone
diseases
dengue fever mosquito, active by day
malaria mosquito bites
yellow fever mosquito bites
tetanus wounds
hepatitis A contaminated water, direct contact
cholera contaminated water, bacteria
typhoid fever contaminated water
dysentery contaminated water
Met
reporting
vertical visibility steps 100 ft, up to 2000 ft
aerodrome wind shear alert updated every minute
ATIS averaged wind 2 min, gusts last 10 min, MN
METAR averaged wind 10 min, gusts last 10 min, TN
gusts 10 kts
GNav
time
• time, such that sun in zenith at 12:00
LAT local apparent time
• changes every day
• depends on longitude: LMTλ = UTC + ∆λ
15◦
LMT local mean time
• LAT averaged over year
ST standard time • time according to local regulation
RNav
RNP 2 ✓ ✓ FRT
maximum deflections RNP 1 ✓ ✓ ✓ GPS only
LOC 2.5 ◦ on both sides (DDM 0,155) RNP APCH 1 0.3 GPS only
G/S 0.7 ◦ on both sides (0.24 ·θ) RNP AR APCH 1-0.1 0.3-0.1 GPS only
VOR 10 ◦ A-RNP ✓ ✓ ✓ ✓ 1 0.3 FRT
RNP APR 1 NM, 0.3 NM from FAP (LPV: angular) RNP 0.3 ✓ ✓ ✓ ✓ Helicopters
GM1 SPA.PBN.100
coverage area
FRT (fixed radius turn) - radius
MLS 40 ◦ on both sides, up to 20 NM
≤ FL190 15 NM
LOC 35 ◦ on both sides, up to 17 NM
≥ FL200 22.5 NM
10 ◦ on both sides, up to 25 NM
G/S 8 ◦ L/R, up to 10 NM
vertical: 0.45 to 1.75 ·θ
GBAS 35 ◦ L/R, up to 15 NM
10 ◦ L/R, up to 20 NM
approaches
type approach 2D/3D 2D guidance 3D guidance min. (M)DH A/B deflection notes
ILS 3D LOC G/S CAT IIIb, no DH B angular
MLS 3D MLS azimuth MLS elevation CAT IIIb, no DH B angular
PA
GLS 3D GNSS+GBAS GNSS+GBAS CAT I, 200 B angular
PAR 3D 3D radar+RTF 3D radar+RTF CAT I, 200 B -
LPV 3D GNSS+SBAS GNSS+SBAS CAT I, 200 A/B angular PA/B if DH < 250; APV/A else
APV LP 2D GNSS+SBAS - 250 A angular
(PBN) LNAV/VNAV 3D GNSS Baro or GNSS+SBAS 250 A linear check QNH/temp. correct!!
LNAV 2D GNSS - 250 A linear
LOC 2D LOC - 250 A angular LDA: LOC offset from RWY
VOR 2D VOR - 300, VOR/DME 250 A angular
NPA
NDB 2D NDB - 350, NDB/DME 300 A angular
SRA 2D SRA+RTF - 250/300/350 A - DH depending on end dist. from THR
OPS
Supplemental oxygen
who pressurised non-pressurised
> 13000ft
10000-13000ft after 30min
flight crew > 10000 ft
≥ 30min when certified ≤ FL250
≥ 2hrs when certified > FL250
> 13000ft, at least 30min > 13000 ft
cabin crew
10000-13000ft after 30min 10000-13000ft if > 30min
100% pax > 15000ft, at least 10min > 13000 ft
30% pax 14000-15000ft -
10% pax 10000-14000ft after 30min 10000-13000ft after 30min
climb/descent
T −D
angle of climb α sin α =
W
lift L = W cos α