Добавил:
Опубликованный материал нарушает ваши авторские права? Сообщите нам.
Вуз: Предмет: Файл:

Методичка 4

.pdf
Скачиваний:
2
Добавлен:
28.06.2022
Размер:
333.46 Кб
Скачать

F1G1KL?JKL<H HK<1LB 1 G:MDB MDJ:2GB

G:P1HG:EVGBC MG1<?JKBL?L³EV<1<KVD: IHE1L?OG1D:´

1GL?JIHEX<:GGY <BKHL D<:A1=?H2>: F?LH>HF ;1E1G1CGH2 1GL?JIHEYP12

F?LH>BQG1 <D:A1<DB

^h \bdhgZggy eZ[hjZlhjgh€ jh[hlb a dmjkm³Hkgh\b n•abqgh€ ]_h^_a•€´ ^ey klm^_gl•\ IV dmjkm [Zah\h]h gZijyfm

³=_h^_a•y dZjlh]jZn•y lZ a_fe_\ihjy^dm\Zggy´ ki_p•Zevghkl•³1g`_g_jgZ ]_h^_a•y´

AZl\_j^`_gh gZ aZk•^Zgg• dZn_^jb \bsh€ ]_h^_a•€ lZ Zkljhghf•€.

Ijhlhdhe ‹ \•^ j

Ev\•\ – 2006

1gl_jihex\Zggy \bkhl d\Za•]_h€^Z f_lh^hf [•e•g•cgh€ •gl_jiheyp•€

F_lh^bqg• \dZa•\db ^h \bdhgZggy eZ[hjZlhjgh€ jh[hlb a dmjkm ³Hkgh\b n•abqgh€ ]_h^_a•€´^ey klm^_gl•\ IV dmjkm [Zah\h]h gZijyfm ³=_h^_a•y dZjlh]jZn•y lZ a_fe_\ihjy^dm\Zggy´ ki_p•Zevghkl• ³1g`_g_jgZ ]_h^_a•y´ Mde I > >\me•l H F FZjq_gdh H K AZypv Ev\•\ <b^Z\gbpl\h GZp•hgZevgh]h mg•\_jkbl_lm³Ev\•\kvdZ ihe•l_og•dZ´– 8 k

MdeZ^Zq• >\me•l I > ^-j l_og. gZmd ijhn , FZjq_gdh H F ^-j n•a -fZl. gZmd ijhn , AZypv H K fhe. gZmd. ki•\j.

<•^ih\•^Zevgbc aZ \bimkd AZ[ehpvdbc N > ^-j l_og. gZmd ijhn

J_p_ga_glb

AZameyd I F ^-j n•a -fZl. gZmd ijhn

2

<klmi

Yd \•^hfh i•^ qZk h[qbke_ggy \bkhl d\Za•]_h€^Z aZ ]jZ\•f_ljbqgbfb ^Zgbfb gZclhqg•rbc j_amevlZl hljbfmxlv dhf[•gh\Zgbf f_lh^hf h[qbke_ggy <ieb\ ZghfZe•c p_gljZevgh€ ahgb \bagZqZ}lvky qbkeh\bf •gl_]jm\Zggyf j_]meyjgh€ k•ldb k_j_^g•o agZq_gv ZghfZe•c kbeb \Z]b ^ey ljZi_p•c 5′× 7.5′ <ieb\ ZghfZe•c ^Ze_dbo ahg \bagZqZxlv aZ iZjZf_ljZfb ]eh[Zevgbo fh^_e_c ]jZ\•lZp•cgh]h ihey A_fe• >_lZevg•klv gZ\_^_ggy ihey ZghfZe•c kbeb \Z]b 5′× 7.5′ } ^hklZlgvhx ^ey h[qbke_ggy \bkhl d\Za•]_h€^Z m p_gljZevg•c ahg• sh aZ[_ai_qm}lvky pbnjh\hx ]jZ\•f_ljbqghx dZjlhx fZkrlZ[m GZcihrbj_g•rbf f_lh^hf } lZd a\ZgZ •gl_jiheyp•y \Z]h\bfb nmgdp•yfb ydm fh`gZ jha]ey^Zlb yd ^_ydbc aZ]Zevgbc f_lh^ •gl_jiheyp•€ > @ lZ a]•^gh a [2], [3] ih^Zlb yd qZkldh\bc \biZ^hd k_j_^gvh€ d\Z^jZlbqgh€ dhehdZp•€ <jZoh\mxqb rbjhd_ aZklhkm\Zggy \ j•agbo qbkeh\bo Ze]hjblfZo n•abqgh€ ]_h^_a•€ •gl_jiheyp•€ kieZcg-nmgdp•yfb spline – dj_keyjkvdZ e•g•cdZ gb`q_ jha]eygmlh Ze]hjblf [•e•g•cgh€ •gl_jiheyp•€ Z[h •gl_jiheyp•x ehdZevgbfb kieZcgZfb i_jrh]h kl_i_gy nmgdp•€ ^\ho af•ggbo sh } aZ^Zghx m \maeZo j_]meyjgh€ ijyfhdmlgh€ k•ldb

AZagZq_gbc f_lh^ fZ} hkh[eb\_ agZq_ggy \ a\¶yadm a jha\bldhf GPS- l_ogheh]•c aZ g_h[o•^ghkl• •gl_jiheyp•€ \bkhl d\Za•]_h€^Z ^ey ijyfh]h h[qbke_ggy ghjfZevgbo \bkhl aZ nhjfmehx Fheh^_gkvdh]h

+γ = + − ζ ,

^_ +γ ghjfZevgZ \bkhlZ ζ \bkhlZ d\Za•]_h€^Z + ]_h^_abqgZ \bkhlZ ydZ

\bagZqZ}lvky •a GPS-\bf•j•\ Lj_[Z aZm\Z`blb sh f_lh^ [•e•g•cgh€ •gl_jiheyp•€ [m\ \i_jr_ j_dhf_g^h\Zgbf DMA > @ ^ey •gl_jiheyp•€ \bkhl d\Za•]_h€^Z \ kbkl_f• WGS m f_`Zo ^_ydh€ ^Zgh€ j_]meyjgh€ k•ldb kZf_ ^ey \bagZq_ggy ghjfZevgbo \bkhl

Nhjfmeb [•e•g•cgh€ •gl_jiheyp•€

A\_jg_fhky ^h [•e•g•cgh€ •gl_jiheyp•€ a -fZ aZ^Zgbfb \maeZfb ydm [meh

j_dhf_g^h\Zgh> @^ey •gl_jiheyp•€ \bkhl ]_h€^Z m f_`Zo ^_ydh€ ^Zgh€ j_]meyjgh€

k•ldb AZ pbf i•^oh^hf dh`gm

nmgdp•x = [ \ = =(;([) <(\))= = ; <

jha]ey^Zxlv yd nmgdp•x = ; < i•key i_j_l\hj_ggy dhhj^bgZl

 

; =

[− [

,

< =

\ − \

,

(1)

 

 

[ − [

 

\ − \

 

yd• gZe_`Zlv ^h h^bgbqgh]h d\Z^jZlZ

 

[ ≤ ; ≤ ],

[ ≤ < ≤ ].

(2)

 

 

 

3

 

 

 

AZm\Z`_ggy lml aZf•klv iehkdbo dhhj^bgZl [ \ fh`gZ \bdhjbklh\m\Zlb kn_jbqg• ϕ , λ Z[h kn_jh€^Zevg• dhhj^bgZlb B L .

M lZdhfm \biZ^dm ih^Zxlv nmgdp•x = ; < aZ ^hihfh]hx klZg^Zjlgh]h \bjZam:

 

= ; < = D + D ; + D < + D ;<,

(3)

a dh_n•p•}glZfb

 

 

 

D = = , D = = − = , D = = − = , D = = + = − = − = ,

(4)

^e = = = = − \•^hf• \_ebqbgb = ; < ^ey -o lhqhd •gl_jiheyp•€

 

= = = ; <

= = = ; <

= = = ; < = = = ; < .

(5)

IjbimkdZxqb

sh i_jrm lhqdm

; < jhaf•s_gh \ ihqZldm

2

dhhj^bgZlgh€ kbkl_fb ;<, lZ gmf_jmxqb •gr• lhqdb ^h\•evgh yd ihdZaZgh gZ jbk a \jZom\Zggyf • fb hljbfZ}fh

= = = = = = = = = = = = .

(6)

Jbk. >h •gl_jihex\Zggy a 4-fZ aZ^Zgbfb \maeZfb D=1)

 

 

Hl`_ \bdhjbklh\mxqb ki•\\•^ghr_ggy e_]dh i_j_\•jblb

sh

•gl_jiheyp•y m f_`Zo ^h\•evgbo lhqhd dml•\ ([ \ ),

([ \ ),

([

\ ),

([ \ ) ijyfhdmlgbdZ \b[jZgbo yd \maeb a\h^blvky ^h •gl_jiheyp•€ \ f_`Zo h^bgbqgh]h d\Z^jZlZ.

4

<bo•^g• ^Zg• lZ aZ\^Zggy ^h eZ[hjZlhjgh€ jh[hlb

LZ[ebpy

<bo•^g• ^Zg• \bkhl d\Za•]_h€^Z \ f_ljZo gZ qZklbgm l_jblhj•€ Jmfmg•€ m \maeZo j_]meyjgh€ k•ldb ′ × ′

B \ L

23.00

23.25

23.50

23.75

24.00

24.25

24.50

24.75

25.00

 

 

 

 

 

 

 

 

 

 

47.0000

40.526

39.996

39.556

39.022

38.600

38.548

38.544

38.779

38.932

 

 

 

 

 

 

 

 

 

 

46.8333

41.220

40.713

39.996

39.237

38.767

38.727

38.636

38.509

38.742

 

 

 

 

 

 

 

 

 

 

46.6667

42.186

41.643

40.545

39.555

38.932

38.844

38.631

38.393

38.509

46.5000

42.671

42.369

41.062

39.762

39.135

38.800

38.489

38.253

38.205

 

 

 

 

 

 

 

 

 

 

46.3333

42.269

42.094

41.339

39.907

39.392

38.927

38.544

38.310

38.208

 

 

 

 

 

 

 

 

 

 

46.1667

42.033

42.036

41.146

40.165

39.726

39.244

38.832

38.591

38.421

46.0000

41.923

41.732

41.188

40.757

40.267

39.879

39.488

39.123

38.763

 

 

 

 

 

 

 

 

 

 

45.8333

41.810

41.845

42.090

41.771

41.017

40.482

39.982

39.551

39.065

 

 

 

 

 

 

 

 

 

 

45.6667

42.275

42.815

43.447

43.296

42.294

41.139

40.905

40.772

39.937

45.5000

42.767

42.920

43.484

43.567

42.504

41.124

40.945

40.485

40.140

 

 

 

 

 

 

 

 

 

 

45.3333

43.262

42.399

42.337

42.021

40.810

39.355

38.771

38.495

38.169

 

 

 

 

 

 

 

 

 

 

45.1667

41.526

40.303

39.563

38.924

38.330

37.388

36.853

36.721

36.581

45.0000

39.452

38.527

37.943

37.507

37.037

36.431

36.167

35.963

35.734

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

LZ[ebpy

 

 

 

<Zj•Zglb aZ\^Zgv

 

 

 

 

 

 

 

 

 

 

 

 

Bx,

L,x

ζ [

Bx,

L,x

ζ [

 

1

46.5785

23.4214

41.254

14

45.5945

24.3609

41.226

 

2

46.4005

23.5698

40.916

15

45.4313

23.8417

42.584

 

3

46.2818

23.9406

39.567

16

45.4412

23.5796

43.379

 

4

45.9159

24.084

40.488

17

45.3917

23.3621

42.509

 

5

45.7181

23.8120

42.754

18

45.9109

23.3621

41.586

 

6

45.7725

23.6044

42.541

19

46.4005

23.8862

39.475

 

7

46.0692

23.6093

40.771

20

46.5983

23.8269

39.329

 

8

45.8863

24.4005

40.077

21

46.0741

24.1038

39.799

 

9

46.2324

24.3659

38.876

22

45.4214

24.3955

39.897

 

10

46.4104

24.3659

38.642

23

46.0840

23.8763

40.181

 

11

46.5983

24.4351

38.623

24

46.2670

23.3472

42.026

 

12

46.6032

24.0741

38.963

25

46.4301

24.1137

39.061

 

13

45.5846

24.1582

41.930

26

46.2521

24.1433

39.210

 

5

IjbdeZ^ \bdhgZggy jh[hlb

<bdhjbklh\mxqb f_lh^ [•e•g•cgh€ •gl_jiheyp•€, aZ ^Zgbfb lZ[e. 1 agZclb \bkhlm d\Za•]_h€^Z ζ L m lhqp• a ]_h^_abqgbfb dhhj^bgZlZfb Bx = 45., 2582, Lx = 24,.5636 Ihj•\gylb hljbfZgbc j_amevlZl a lhqgbf agZq_ggyf \bkhlb d\Za•]_h€^Z m p•c lhqp• sh ^hj•\gx} ζ [ = f

<klZgh\e_ggy gZc[eb`qbo \mae•\ ^h aZ^Zgh€ lhqdb

GZ i_jrhfm _lZi• \klZgh\ex}fh gZc[eb`q• ^h aZ^Zgh€ lhqdb qhlbjb \maeb \bo•^gh€ k•ldb \bkhl d\Za•]_h€^Z \bdhjbklh\mxqb ^Zg• lZ[e. Hkd•evdb

≤ %[ = ≤ • ≤ /[ = ≤ lh \maeb kn_jbqgh€ ljZi_p•€, ^h ydh€ ihljZiey} ^hke•^`m\ZgZ lhqdZ, fZlbfmlv lZd• \bkhlb d\Za•]_h€^Z: ζ = f ζ = f ζ = f ζ = f

gmf_jZp•y aZ jbk 1).

I_j_l\hj_ggy dhhj^bgZl ^hke•^`m\Zgh€ lhqdb

HljbfZ}fh i_j_l\hj_g• ]_h^_abqg• dhhj^bgZlb ^hke•^`m\Zgh€ lhqdb a \bdhjbklZggyf

%′ =

% − %

=

,

 

 

 

 

 

 

% − %

/′ =

/ − /

=

.

 

 

 

 

/ − /

 

AgZoh^`_ggy dh_n•p•}gl•\ •gl_jiheyp•cgh]h ihe•ghfm

A]•^gh a agZc^_fh dh_n•p•}glb •gl_jiheyp•cgh]h ihe•ghfZ (3)

D = ζ = ,

 

 

 

 

 

 

 

D = ζ ζ = − = ,

D = ζ ζ = − = ,

 

D = ζ + ζ ζ ζ = ,

AgZoh^`_ggy \bkhlb d\Za•]_h€^Z m ^hke•^`m\Zg•c lhqp• •gl_jiheyp•€

Reyohf i•^klZgh\db dh_n•p•}gl•\

D − D ^h j•\gyggy lZ aZf•gb m

pvhfm ` j•\gygg•

; gZ /′[ Z < gZ %′[ hljbfZ}fh •gl_jihevh\Zg_ agZq_ggy

\bkhlb d\Za•]_h€^Z m lhqp• Bx = 45,.2582 , Lx

= 24,.5636.

ζ

i

= a

0

+ a L′ + a

2

B

+ a

3

B

L′ = 37.853f

 

 

1 x

 

x

 

x

x

6

<bkgh\db

Ihj•\gxxqb hljbfZg_ agZq_ggy ζ i = 37.853f a lhqgbf agZq_ggyf \bkhlb d\Za•]_h€^Z ζ x = 37.722f m p•c lhqp•, fh`gZ aZm\Z`blb agZqg_

\•^obe_ggy ihjy^dm kf •gl_jiheyp•cgh]h agZq_ggy \•^ lhqgh]h LZdm g_ma]h^`_g•klv fh`gZ ihykgblb ^hkblv \_ebdbf djhdhf \bo•^gh€ k•ldb >ey mkmg_ggy lZdh]h g_^he•dm lj_[Z \bdhjbklh\m\Zlb Z[h k•ldb a ^j•[g•rbf djhdhf, Z[h •gr• _n_dlb\g•r• f_lh^b •gl_jiheyp•€

Kibkhd ebl_jZlmjb

1. DMA (1987) Supplement to department of defence world geodetic system 1984 technical report / DMA technical report DMA TR 8350.2-B, 1987. 171 p. 2. Krarup T. (1969) A Contribution to the Mathematical Foundation of Physical Geodesy. Danish Geod. Inst. Public., No 44, Copenhagen. 3. Moritz H. Advanced Physical Geodesy. H. Wichmann, Karlsruhe, 1980. – 500 p. 4. Wild E. (1980) Interpolation with the weight-functions – a general interpolation method. Paper presented at the XIV Congress of the International Society for Photogrammetry, Commission III, Hamburg 1980, p. 780 – 793.

7

G:<Q:EVG? <B>:GGY

1GL?JIHEX<:GGY <BKHL D<:A1=?H2>: F?LH>HF ;1E1G1CGH2 1GL?JIHEYP12

F?LH>BQG1 <D:A1<DB

^h \bdhgZggy eZ[hjZlhjgh€ jh[hlb a dmjkm³Hkgh\b n•abqgh€ ]_h^_a•€´ ^ey klm^_gl•\ IV dmjkm [Zah\h]h gZijyfm

³=_h^_a•y dZjlh]jZn•y lZ a_fe_\ihjy^dm\Zggy´ ki_p•Zevghkl•³1g`_g_jgZ ]_h^_a•y´

MdeZ^Zq• >\me•l I_ljh >fbljh\bq FZjq_gdh He_dkZg^j FbdheZch\bq AZypv He_dkZg^j Kl_iZgh\bq

J_^Zdlhj

Hev]Z >hjhr_gdh

Dhfixl_jg_ \_jklZggy He_gb DZlZqbgh€

A^Zgh m \b^Z\gbpl\h 15.06 I•^ibkZgh ^h ^jmdm 28.06.2006. NhjfZl × IZi•j hnk_lgbc >jmd gZ j•ah]jZn• Mf ^jmd Zjd 0,65 H[e -\b^ Zjd 0,5. GZdeZ^ 100 ijbf AZf 465.

<b^Z\gbpl\h GZp•hgZevgh]h mg•\_jkbl_lm³Ev\•\kvdZ ihe•l_og•dZ´

J_}kljZp•cg_ k\•^hpl\h k_j•€ >D ‹ \•^

Ihe•]jZn•qgbc p_glj <b^Z\gbpl\Z GZp•hgZevgh]h mg•\_jkbl_lm³Ev\•\kvdZ ihe•l_og•dZ´

\me N Dhe_kkb Ev\•\

8

1GL?JIHEX<:GGY <BKHL D<:A1=?H2>: F?LH>HF ;1E1G1CGH2 1GL?JIHEYP12

F?LH>BQG1 <D:A1<DB

^h \bdhgZggy eZ[hjZlhjgh€ jh[hlb a dmjkm³Hkgh\b n•abqgh€ ]_h^_a•€´ ^ey klm^_gl•\ IV dmjkm [Zah\h]h gZijyfm

³=_h^_a•y dZjlh]jZn•y lZ a_fe_\ihjy^dm\Zggy´ ki_p•Zevghkl•³1g`_g_jgZ ]_h^_a•y´

9

Соседние файлы в предмете Фізична геодезія