Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

The Inverse Geodetic Problem Using the Method by Bowring | SURE 452, Study notes of Engineering

Material Type: Notes; Class: Geodesy 1; Subject: Surveying Engineering; University: Ferris State University; Term: Unknown 1989;

Typology: Study notes

Pre 2010

Uploaded on 08/07/2009

koofers-user-2t6-1
koofers-user-2t6-1 🇺🇸

10 documents

1 / 2

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
∆λ 0.01315343=
∆λ λ2λ1
:=
∆φ 0.013032486=
∆φ φ2φ1
:=
w 0.006589169=
wA
λ2λ1
()
2
:=
C 1.00336409=
C1e
p2
+:=
B 1.002524126=
B1e
p2 cos φ1
()()
2
+:=
A 1.00189369=
A1e
p2 cos φ1
()()
4
+:=
Common equations:
φ2radians 30.444814320():= λ2radians 10.451308964():=
λ1radians 10():=φ1radians 30():=
Given data:
ep2 0.006739496775479=
ep2 a2b2
b2
:=
second eccentricity squared:
b 6356752.31414036 m=
baaf:=f1
298.257222101
:=a 6378137 m:=
The following data refer to a given reference system
dms ang( ) degree floor ang()
rem ang degree()60
mins floor rem()
rem1 rem mins()
secs rem1 60.0
degree mins
100
+secs
10000
+
:=
radians ang( ) d dd ang()
dπ
180.0
:=dd ang( ) degree floor ang 0.0000000001+()
mins ang degree( ) 100.0
minutes floor mins 0.0000000001+()
seconds mins minutes( ) 100.0
degree minutes
60.0
+seconds
3600.0
+
:=
Some useful angle functions:
The Inverse Geodetic Problem using the method by Bowring
pf2

Partial preview of the text

Download The Inverse Geodetic Problem Using the Method by Bowring | SURE 452 and more Study notes Engineering in PDF only on Docsity!

∆λ =0.

∆λ λ 2

λ 1

∆φ =0.

∆φ φ 2

φ 1

w =0.

w A

λ 2

λ 1

C =1.

C 1 e p

B =1.

B 1 e p

cos φ 1

2

:= + ⋅

A =1.

A 1 e p

cos φ 1

4

:= + ⋅

Common equations:

φ 2

:= radians 30.444814320( )

λ 2

:=radians 10.451308964( )

λ 1

φ :=radians 10( ) 1

:=radians 30( )

Given data:

e p

e p

a

2 b

2 −

b

2

second eccentricity squared: :=

b =6356752.31414036 m

f b :=a −a f⋅

a :=6378137 m⋅ :=

The following data refer to a given reference system

dms ang( ) degree ←floor ang( )

rem ←(ang −degree) 60⋅

mins ←floor rem( )

rem1 ←( rem −mins)

secs ←rem1 60.0⋅

degree

mins

secs

radians ang( ) d ←dd ang( )

d

π

dd ang( ) degree ←floor ang( +0.0000000001) :=

mins ←(ang −degree) 100.0⋅

minutes ←floor mins( +0.0000000001)

seconds ←(mins −minutes) 100.0⋅

degree

minutes

seconds

Some useful angle functions:

The Inverse Geodetic Problem using the method by Bowring

s =109999.999633107 m

s

a C⋅ ⋅σ

B

2

dms α 21

π

α 21

:=G + H+π

dms α 12

π

α 12

:=G −H

H =0.

H atan

A

sin φ

B cos φ

  • ⋅ ⋅tan D( )

⋅ ⋅tan w( )

σ =0.

σ 2 asin E

2 F

2

G :=atan2 E F( , ) G =0.

F =0.

F

A

⋅ sin w( ) B cos φ

⋅ ⋅ cos D( ) sin φ

− ⋅sin D( )

E =0.

E :=sin D( ) cos w⋅ ( )

D =0.

D

∆φ

2 B⋅

3 e p

4 B

2 ⋅

⋅ ∆φsin 2 φ 1

  • ⋅∆φ

Inverse Problem: