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Nav Formula

This document contains information about navigation formulas including: 1. Great circles provide the shortest distance between two points but direction varies, while rhumb lines have a constant direction but are not the shortest. 2. Formulas are provided to calculate distances and differences between great circles and rhumb lines based on latitude and longitude. 3. Additional navigation concepts covered include conversion angles, scale on charts, runway winds, fuel calculations, and critical point navigation.

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rona putri
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© © All Rights Reserved
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Download as PDF, TXT or read online on Scribd
0% found this document useful (0 votes)
450 views5 pages

Nav Formula

This document contains information about navigation formulas including: 1. Great circles provide the shortest distance between two points but direction varies, while rhumb lines have a constant direction but are not the shortest. 2. Formulas are provided to calculate distances and differences between great circles and rhumb lines based on latitude and longitude. 3. Additional navigation concepts covered include conversion angles, scale on charts, runway winds, fuel calculations, and critical point navigation.

Uploaded by

rona putri
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Navf

ormul
a
Gennav

 Gr
eatCi
rcl
e=shor
testdi
st,
Radi
owav
es,
Notcost
antdi
rect
ion.

 RhumbLi
ne=Notshor
test
,Const
antTr
uedi
rect
ion

 Compr
essi
onRat
io=(eqdi
a-pol
ardi
a)÷eqdi
amet
eror

=1/
297or1/
300or0.
03or0.
3%

 RhumbLi
neDep=DLong×60×Cos(
lat
)

 GCDep=Dl
at×60

 Di
ffbet
weent
woGCt
racks=Conv
ergency(
C)

 Di
ffbet
weenGCandRL=CA(Conv
ersat
ionAngl
e=½C.)
West East
 C=Dl
ong×Si
n(Meanl
at);
CA=½C
NH D I
 Gr
eatci
rcl
evar
iat
ionduet
oconv
ergency(D-
I-
I-
Drul
e)
SH I D

1:
60Rul
e

 Angl
e(@)=(S/
R)×60

 G.
S.Hi
nft(gl
i
desl
opehei
ght)=Angl
e×Range×101

 R.
O.Df
t/mi
n(r
ateofdescend)=(Angl
e×G.
S×101)÷60

 For3°Gl
i
desl
opeangl
eR.
O.D=5×G.
S

I
fAngl
e(@)i
snotgi
venand%ofgr
adi
enti
sgi
ven,
then

ForG.
S.H ForR.
O.D

Angl
e=t
an'
(%/100) R.
O.D=(
%/100)×G.
s×101

G.
S.H=Angl
e×R×101

 Ki
nemat
ic(Di
st)=Speed×t
ime
Al
ter
ati
onOfHeadi
ng

 Cor
rect
iont
oreachDest=T.
E+C.
A T.
E=Tr
ackEr
ror

C.
A=Cl
osi
ngAngl
e
 Doubl
eT.
Emet
hod(Rej
oin)=2×T.
E

RunwayXwi
nds,
Headwi
ndsandTai
lwi
nds

X-
winds=15×si
n(@)

T/
H-wi
nds=15×Cos(
@)

Where@ =Angl
ebet
weenRunwayandwi
nds
di
rect
ions

Ai
rNM =GNM

TAS G.
S

Scal
e,MapsandChar
ts
DA =CosA
 Scal
e=Char
tLengt
h÷Ear
thdi
st(scal
e=CL÷ED)
DB. CosB
 Wher
eA=Lowerl
atv
alue;
B=Hi
gherl
atv
alue

Char
t Conv
ergencyFor
mul
a
n=const
antofcone
Mer
cat
or C=Dl
ong×Si
n(M.
L)
n=Si
n(par
all
elofor
igi
n)
Coni
cal C=Dl
ong×n Par
all
elofor
igi
n=Av gofst
andar
d
Pol
ar C=Dl
ong×1 paral
l
el
Fuel
Cal
S.
F.C=Fuel
÷fuel
flow (Kg/
Nm)
 100l
i
ts=22i
mpG=26.
4UsG
S.
G.R=Fuel
flow÷f
uel
(Nm/
kg)
 Li
t×S.
G=kg
Payl
oad
 I
mpG×10×S.
G=Lbs
MTOW =DOM +P.
L+F.
O.B
 1kg=2.
2lbs(
pounds)
MTOW MLW. MZFW
 Endur
ance=Tot
alf
uel
÷Fuel
flow
+F.
F +F.
O.B
 Fuel
flow(
G.P.
H)=f
uel
÷ti
me

C.
P/PNR

D.CP D×H D.PNR E×O×H.


PNRWi
thoutEND
O+H O+H
D.
PNR= F
T.CP D×H T.PNR E×H
CO+CH
O(
O+H) O+H

S.
A.R.=t
otal
END×TAS

D=di
stance;
O=outboundG.
G,H=HomeboundG.
S,E=Saf
eEND,
F=Reser
veFuel

CO=SFCOut
bound,
CH=SFCHomebound

Not
e:Anyrel
ati
onwhichar
edi
rect
lypr
oport
ional
crossmulti
plyandsl
ovet
heequat
ion.And
whi
char
einver
selyr
elat
ed,Cr
ossmulti
plyandFLIPthem andslov
eequat
ion.

Ti
me

◆Ti
me=Dl
ong÷15;Long=15×Ti
me

◆LMT=UTC±(Dl
ong÷15)

◆Tocal
cul
ateanyLMTorUTCf
orEast
erndi
rect
ionuse(
+)andWest
erndi
rect
ion(
-)

◆I
ftheLongi
tudei
sri
ghtofRef
erence(
giv
en)use(
+)andi
flef
t(-
)

◆SunRi
set
imei
sear
ly(
-)i
ntheeast
erndi
rect
ion(El
ong)andl
ater(
+)i
nwest
ern.
Radi
oNav

 F=C/wav
elengt
h (C=3×10*
8m/
s or162000NM/
sec)

 Di
st=S×T

 LOS(l
i
neofsi
ght)=1.
25(√HT +√HR) orLOS=12√FL(
whenHgtoft
ransmi
tt
erat
MSL)

 HT =hei
ghtofTr
ansmi
tt
er;
HR.=hei
ghtofr
ecei
ver(
A/c)

 Radi
oRange=√power(t
odoubl
ether
angei
ncr
easepowerby4t
imes)

 RadarRange=4t
h√power(Todoubl
ether
angei
ncr
easepowerby16t
imes)

Mar
coni
Ant
enna= 0.
95×(
Wav
elengt
h÷4)
 Lengt
hofant
enna
Di
pol
eAnt
enna=wav
elengt
h÷2

VOR
CVOR R.
S=FM
 I
fOBS=RDL(FM );
.OBS≠RDL-Reci
procal
dir
ect
ion.(TO)
C.
wise V.
S=AM
 I
fOBS=Hdg(Cor
rectSensi
ng);
ifOBS≠Hdg(r
ever
sesensi
ng)
DVOR R.
S=AM
 VOT(t
estVOR):f
or180°Rdl
=indi
cat
esTOwi
thi
n±4°
A.
C.wi
se V.
S=FM
For360°Rdl
=Indi
cat
esFROM wi
thi
n±4°

ForAi
rwayAndConeofconf
usi
onnumer
ical
sUseTan(
@)i
nst
eadof1:
60r
ules

RADAR PhaseDi
ff=Ref-Var
iabl
esi
gnal

PRI=1/PRF.orPRF=1/
PRI

MaxRange=C÷(2×PRF) Mi
nRange=(pul
sel
engt
h×C)÷2

 Beam wi
dth=(70×wav
elengt
h)÷Ant
ennaDi
amet
er

 Hei
ghtoft
hecl
oudTOP/BASE=(t
il
tangl
e-½Beam Wi
dth)×60×101

 (
Ifv
aluei
s(+)addi
ttot
hegi
venFL,i
f(-
)thensubt
racti
tfr
om gi
venl
evel
)

 Doppl
erShi
ft(f
d)=(
V×f)÷C ;andFr
equencyshi
ft(f)=f
d. (R)-f

 (V=speedofA/
cinm/
sec,
fr=r
ecei
verFr
eq,
F=Tr
ansmi
tt
erFr
eq)
I
NSTRUMENT

 TAT=SAT+RAM RI
SE(
R.R) [R.
R=(V/
100)
²]wher
eV=TAS

 SAT=TAT÷(1+0.
2kM²)wher
eM =M.
no&k=const
ant
(1)

 M.
no=TAS÷LSS(l
ocal
speedofsound)

 LSS=39√K wher
eK=273+℃ (atMSL,
LSS=661Kt
sor340m/
sec)

 Got
hroughal
lpr
essur
einst
rumenteor
ros(Bl
ockages)

 Tr
ueAl
ti
tude(TA)=PA(
Pressur
eAl
t)±[(Dev×PA)
÷250]

 Densi
tyAl
ti
tude(
DA)=PA±(120×DEV) (
+)i
fDevi
sposi
ti
ve,
(-)i
fDevneg

Gy
ro Rat
e 3°
/sec 120
1 sec
Gy
ro Ty
pe Axi
s Freedom RPM
ofplane Rat
e 6°
/sec 60
2 sec
DGI Ti
ed Hor
izont
al 3 12000
Rat
e 9°
/sec 40
AH Ear
th Ver
ti
cal 2 15000 3 sec

T&S Rat
e Hor
izont
al 1 4500 Rat
e 12°
/sec 30
4 sec

Tur
ns

 Radi
usoft
urn=V²÷gt
an(
@) [V=TAS,
@ =Bankangl
e,g=gr
avi
ty(
1)]

 Rat
eoft
urn= V÷Radi
us

 Loadf
act
or=Li
ft÷wei
ght (L.
Fisonl
yfunct
ionofangl
eofbank)

 Bankangl
eforRATE1t
urn= (TAS÷10)+7

Thumbr
ulesofCOMPASSer
ror
s-ANDS,
ASDN,
SONU,
NOSU

Gy
rodr
if
t=15×si
n@ ,Gy
roToppl
e=15×cos@

Tur
ningandaccel
erat
ioner
rorofAr
ti
fi
cial
Hor
izon(
AH)

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