4-5-Laboratoriya ishi Parallel yoy uzunligini hisoblash

4-5-Laboratoriya ishi Parallel yoy uzunligini hisoblash

Aylanma ellipsoidni paralelli aylanani tashkil qilib uning yoy uzunligini hisoblash yoy uchlari nuqtalarining uzoqliklari ayirmasiga teng markaziy burchak orqali aylana yoyini hisoblashga o’xshash bajariladi.
S_n - parallel yoy uzunligi r =NcosB radiusga teng bo‘lgan, L₂-L₁l markaziy burchakga tayangan aylana yoy uzunligini hisoblash orqali topiladi.

S_n 
(L₂  L₁ )^"
"


N cos B 
^l" N cos B , (4)
"

N  a
1  0,25e² sin² B


1  0,75e² sin² B

(5)

bunda L₁ va L₂ parallel yoyi tayangan boshlang‘ich va oxirgi nuqta uzoqliklari; N-birinchi vertikal egrilik radiusi.

Parallel yoy uzunligini to’g’ri hisoblanganligini tekshirish uchun l1800 va 1800 uzoqliklar farqlari orasidagi Y₂ va Y₁ parallel yoy uzunliklari hisoblanadi (2-шакл).


L₂
L₁- 30΄ L₁

2-шакл. Parallel yoyi.

(l  1800)^"

1800^"

У ₂ 
_" N cos B;
У₁ 
_" N cos B
(6)

U holda S_n=Y₂-Y₁ bo‘ladi.
2-Misol. В= 54º32΄ 19,354˝ kenglikdagi uzoqliklar farqi

l  L₂  L₁  045^46,882^
bo‘lgan parallel yoy uzunligini hisoblang.

Paralel yoyi uzunligini hisoblash tartibi quyidagi 5-jadvalda keltiriladi:

5-jadval

Formulalar	Natijalar	Formulalar	Natijalar
L	0º39΄03,125˝	1- 0,25е^2 sin^2В	0,99888981
B	54º32΄24,611˝	1- 0,75е^2 sin^2В	0,99666946
а, m	6378245	N, m	6392454,263
0,25е^2	0,00167336	cosB	0,58013204
0,75е^2	0,00502006	l˝	2343,125
sinВ	0,81452245	1/ρ˝	4848137·10^-12
sin^2В	0,66344681	NcosB	3708467,542
0,25е^2 sin^2В	0,00111019	l/ρ˝	0,01136416
0,75е^2 sin^2В	0,00333054	Sn, m	42143,618

Paralel yoyi uzunligini nazorat hisoblash tartibi quyida keltiriladi:
6-jadval

Formulalar	Natijalar	Formulalar	Natijalar
NcosB	3708467,542	Y1	32374,922
1/ρ˝	4848137·10^-12	Y2	74503,113
(l˝+1800˝)/ ρ˝	0,00002009	Sn=Y2- Y1 ,m	42128,191
1800˝/ ρ˝	0,00000873

Izoh: Parallel yoy uzunligiни 3- formula bilan hisoblaganda, l1 holda hisoblash aniqligi 0,001m ga teng, l1 bo‘lgan hollarda esa bunday aniqlikga erishish uchun trigonometrik funksiya qiymatlari verguldan so‘ng to’qqizinchi va undan katta bo‘lgan xonalar aniqligida topilishi lozim.

Ikki nuqta orasidagi parallel yoy uzunliklarini hisoblash bo’yicha topshiriqlarni bajarish bo’yicha variyantlar

7-jadval

Varyant nomeri	l ,° ΄ ˝	В,° ΄ ˝	Varyant nomeri	l ,° ΄ ˝	В,° ΄ ˝
1	0 38 47,553	54 32 10,358	16	0 39 01,569	54 32 22,254
2	0 38 48,238	54 32 11,458	17	0 39 02,234	54 32 23,548
3	0 38 49,356	54 32 12,128	18	0 39 03,125	54 32 24,611

4	0 38 50,182	54 32 13,554	19	0 39 04,182	54 32 25,125
5	0 38 51,247	54 32 14,665	20	0 39 05,235	54 32 26,365
6	0 38 52,457	54 32 15,113	21	0 39 06,003	54 32 27,441
7	0 38 53,682	54 32 16,386	22	0 39 07,423	54 32 28,657
8	0 38 54,779	54 32 17,858	23	0 39 08,669	54 32 29,141
9	0 38 55,158	54 32 18,925	24	0 39 09,482	54 32 30,241
10	0 38 56,558	54 32 19,229	25	0 39 10,336	54 32 31,258
11	0 38 57,689	54 32 20,235	26	0 39 11,782	54 32 32,141
12	0 38 58,432	54 32 21,111	27	0 39 12,362	54 32 33,224
13	0 38 59,562	54 32 22,248	28	0 39 13,215	54 32 34,653
14	0 39 00,287	54 32 22,546	29	0 39 14,547	54 32 35,741
15	0 39 01,872	54 32 22,745	30	0 39 15,665	54 32 36,156