6. Практическое занятие №6

Продолжительность: 2 часа.

Тема: Обработка результатов неравноточных измерений навигационных параметров.

Цель: Научиться вычислять веса каждого измерения навигационного параметра и точностные характеристики неравноточных измерений.

Пособия и инструменты:

1. Таблицы МТ-75(63).

2. ПК

Задание

В двух задачах пользуясь методическими указаниями §§ 4-8 рассчитать:

• вес каждого измерения.

• вероятнейшее значение измеренного параметра.

• СКП единицы веса.

• СКП вероятнейшего значения и оценить его доверительной оценкой с надёжностью 0.99.

• проверить измерения на промах.

Задача 6.1. Дано: семь значений неравноточных измерений истинного пеленга ИП. СКП каждого измерения приводятся внизу таблицы.

	ИП1	ИП2	ИП3	ИП4	ИП5	ИП6	ИП7
1	303.6°	304.8°	304.4°	302.9°	303.9°	304.6°	305.0°
2	105.9	106.6	107.0	105.4	107.4	107.2	106.5
3	284.2	284.6	285.6	285.4	284.3	284.7	283.9
4	156.7	156.2	158.0	157.1	157.4	155.7	156.3
5	251.3	250.1	250.5	251.4	251.9	251.5	252.0
6	180.6	181.2	181.2	181.9	180.1	181.8	180.1
7	203.7	205.1	202.6	202.2	204.8	203.8	205.0
8	208.5	209.8	208.4	208.7	208.7	210.0	208.9
9	349.0	349.9	348.6	349.3	349.4	348.3	349.2
10	148.9	149.2	147.6	147.6	149.8	149.1	149.8
11	17.0	17.8	16.3	16.9	16.7	17.0	17.2
12	75.9	77.4	75.0	75.1	76.9	75.6	77.2
13	65.0	65.8	64.6	65.2	64.7	66.0	65.9
14	291.6	291.2	290.7	291.4	292.1	292.3	292.8
15	268.8	269.8	268.6	269.7	267.6	268.0	269.5
16	35.0	35.6	34.5	33.8	34.8	35.8	34.6
17	277.5	277.0	276.9	277.6	276.2	278.8	278.0
18	83.9	83.1	84.9	82.5	85.0	83.9	83.0
19	238.3	237.9	238.9	237.6	238.4	238.4	238.4
20	279.4	278.3	278.4	279.5	279.2	280.3	278.3
21	359.1	359.0	358.8	358.6	357.9	359.2	360.5
22	55.8	55.1	54.8	57.3	56.4	56.0	56.9
23	343.7	344.1	343.1	344.5	345.1	344.8	345.2
24	348.6	349.7	347.3	348.6	349.8	349.3	349.2
25	298.5	298.2	298.9	299.1	299.3	298.7	298.2
26	119.0	119.4	119.3	119.3	118.1	120.1	118.2
27	160.4	160.7	159.9	161.8	161.0	159.8	160.8
28	309.8	309.8	308.7	310.4	311.3	310.9	309.4
29	198.8	198.0	197.6	198.4	199.6	197.6	198.6
30	210.4	210.1	210.0	211.3	211.8	210.6	211.0
31	100.0	100.4	99.0	100.5	100.0	99.7	99.4
32	89.0	89.0	89.9	88.9	88.7	89.1	90.1
33	172.0	170.8	172.5	171.8	171.0	172.6	171.2
34	290.9	292.3	291.2	291.1	290.5	290.4	291.2
35	69.7	71.1	70.7	69.2	70.5	69.3	68.4
36	95.0	96.1	95.3	94.6	95.2	94.6	93.6
37	228.3	229.4	226.9	228.9	227.3	229.4	228.0
38	112.2	113.5	113.3	111.3	111.2	113.0	112.5
39	187.7	186.3	188.5	186.5	188.7	189.1	188.6
40	96.2	94.7	97.0	96.6	94.7	96.1	95.2
41	185.1	185.5	186.0	184.3	184.3	186.5	186.0

	ИП1	ИП2	ИП3	ИП4	ИП5	ИП6	ИП7
42	76.8	76.8	75.7	77.5	76.8	78.0	77.4
43	336.5	336.0	335.3	337.1	335.1	337.8	336.9
44	160.2	160.3	161.6	159.4	161.1	161.7	160.7
45	90.5	91.3	91.3	90.3	89.7	90.2	91.2
46	133.1	133.4	133.0	132.3	134.2	132.2	131.9
47	245.6	244.6	244.1	246.2	246.2	244.2	246.2
48	212.2	212.3	212.7	212.2	212.9	212.9	211.6
49	321.4	321.2	321.4	320.6	321.5	320.6	320.7
50	65.4	64.7	65.6	65.4	65.1	64.4	66.4
51	291.1	290.3	291.4	292.4	292.1	292.3	290.3
52	79.8	80.2	78.5	78.8	78.6	78.8	81.1
53	181.2	182.4	180.6	180.1	180.6	180.8	181.8
54	18.1	16.8	17.3	18.1	18.3	18.7	17.3
55	280.8	280.7	279.3	281.9	281.1	279.5	282.2
56	241.6	241.4	240.6	241.8	240.5	242.6	240.5
57	152.2	151.0	152.8	153.5	152.4	151.8	152.9
58	342.4	342.2	341.4	343.5	341.6	342.5	342.6
59	43.7	44.0	42.2	44.4	43.2	42.7	42.5
60	70.8	72.3	70.1	71.7	70.1	72.3	69.7
61	63.3	64.0	63.8	63.1	64.6	64.6	64.1
62	29.2	29.3	28.0	27.9	30.1	29.0	30.3
63	119.7	119.6	119.7	118.5	118.3	119.1	120.2
64	65.6	65.6	64.3	66.9	66.5	65.3	64.1
65	224.4	225.6	224.3	223.6	225.0	223.9	224.9
66	169.5	169.5	168.7	169.9	168.5	168.3	168.5
67	131.9	130.8	131.7	130.7	131.0	132.9	131.7
68	157.4	157.5	156.6	157.9	157.0	158.6	157.2
69	328.4	327.8	328.3	329.3	326.9	327.4	328.1
70	89.2	89.6	89.3	90.2	89.0	89.1	88.4
71	53.9	55.0	54.5	54.5	54.8	52.8	53.6
72	26.7	27.7	27.3	28.1	26.5	26.7	28.2
73	125.7	126.3	125.8	126.6	126.3	127.2	127.1
74	256.8	256.1	257.1	256.5	256.5	258.3	256.7
75	128.1	128.8	127.4	128.4	127.3	127.7	128.7
76	45.4	43.9	44.8	46.9	46.3	46.0	45.6
77	320.3	320.6	318.8	320.8	319.9	319.0	320.7
78	260.5	261.3	260.2	260.5	261.6	259.9	260.3
79	210.3	210.7	211.3	211.8	209.6	209.8	209.5
80	157.0	156.9	156.3	158.4	157.4	155.5	157.2
81	68.1	66.8	69.1	69.2	67.3	69.2	66.9
82	175.9	175.9	174.5	174.5	176.4	176.6	176.5
83	177.8	178.5	178.1	176.5	176.9	177.4	178.4
84	45.0	45.3	45.1	44.4	44.7	45.6	45.8
85	144.2	143.2	145.5	144.4	142.8	143.6	145.7
86	350.0	351.4	350.7	350.0	348.6	350.3	348.8
87	245.6	244.4	246.9	246.5	244.3	245.4	244.5
88	208.4	209.0	208.9	209.4	209.1	208.9	208.4
89	224.7	224.6	224.2	224.7	223.5	224.3	225.8
90	97.6	97.8	98.1	98.3	97.2	97.0	97.0
91	235.3	236.5	235.3	234.6	236.6	235.4	236.6
92	86.0	85.8	87.3	85.5	87.1	85.1	86.8

	ИП1	ИП2	ИП3	ИП4	ИП5	ИП6	ИП7
93	163.0	163.8	162.4	163.0	161.7	164.3	163.1
94	131.6	130.3	133.1	131.9	130.9	131.7	131.1
95	6.5	7.3	5.2	5.7	6.8	5.6	5.2
96	263.0	264.3	263.7	263.1	262.4	261.9	262.8
97	310.5	310.8	310.2	311.3	309.2	310.0	309.6
98	130.1	129.3	131.4	130.0	130.8	130.3	131.0
99	253.6	255.0	253.4	254.9	252.8	252.8	252.4
00	67.0	68.3	65.5	67.6	65.9	66.5	67.0
mi	0.8	1.0	0.6	0.4	1.2	0.7	0.5

Задача 6.2. Дано: девять серий измерений дистанции D (в кабельтовых). Количество измерений в каждой серии приводятся внизу таблицы.

Вар.	D1	D2	D3	D4	D5	D6	D7	D8	D9
1	22.0	23.2	21.9	21.3	23.3	20.5	21.9	20.6	22.5
2	22.2	21.1	23.0	23.0	22.5	23.4	21.5	20.9	20.7
3	10.0	10.0	10.5	11.0	9.8	9.6	10.0	9.5	11.3
4	36.8	37.8	38.0	38.1	37.7	35.6	35.9	36.3	36.7
5	32.2	33.7	31.6	31.6	31.7	33.6	32.0	33.4	31.1
6	20.8	19.7	21.2	19.9	21.5	20.9	19.8	20.0	21.9
7	12.2	10.8	12.5	12.9	12.5	11.4	11.2	11.1	11.8
8	21.9	22.5	22.4	22.4	21.5	21.4	21.0	23.1	22.6
9	39.9	40.3	41.2	39.0	40.4	39.8	41.2	40.0	39.1
10	35.2	34.4	35.6	34.6	34.4	35.4	36.3	34.9	34.4
11	12.8	13.5	13.3	12.8	14.3	12.5	12.2	12.5	11.7
12	10.3	10.4	11.3	11.1	10.5	10.1	10.4	11.1	10.4
13	31.3	31.7	31.6	30.5	30.0	30.1	31.9	30.6	31.5
14	23.2	23.1	22.9	23.0	22.4	21.8	23.8	22.2	24.0
15	28.7	27.8	29.0	28.7	30.0	29.1	29.1	30.1	29.5
16	33.6	33.0	33.2	33.1	32.5	35.0	32.2	32.3	32.6
17	34.7	35.0	34.6	33.4	34.1	33.7	33.7	35.8	35.4
18	23.3	23.6	24.6	23.2	22.6	23.9	24.3	22.9	24.7
19	17.7	18.7	18.7	18.0	16.8	17.6	16.4	18.2	16.3
20	30.0	30.1	30.6	30.1	30.9	30.5	28.8	30.3	28.7
21	39.9	39.0	38.9	38.9	39.6	40.8	38.5	39.1	40.4
22	19.8	21.0	19.4	18.4	20.0	19.0	20.7	19.4	20.9
23	27.1	25.9	25.9	25.9	26.0	26.4	27.8	26.8	26.3
24	17.8	17.5	18.8	18.4	19.0	19.2	16.6	17.9	19.1
25	12.0	12.6	11.2	11.6	10.7	11.4	10.9	13.4	11.5
26	13.3	14.6	13.8	14.6	12.9	12.5	13.3	14.4	12.8
27	35.6	34.2	35.1	37.0	36.8	35.4	36.2	35.2	36.2
28	21.7	22.8	20.8	20.7	20.6	21.4	20.6	20.9	21.8
29	29.7	31.0	29.5	29.7	30.5	28.3	30.6	28.6	29.4
30	36.9	37.8	37.4	37.3	37.4	37.9	36.0	38.0	35.9
31	27.0	26.3	25.6	28.3	27.5	26.1	26.0	26.0	26.5
32	32.6	33.8	33.8	31.7	32.2	33.7	33.5	33.7	32.7
33	34.4	33.1	34.3	35.5	33.7	34.3	35.7	34.2	34.4
34	34.7	35.9	34.4	33.7	34.2	33.6	33.5	35.9	33.5
35	17.6	17.2	17.5	18.1	16.3	17.1	18.2	18.3	16.7
36	25.4	24.6	25.0	24.3	25.6	26.7	26.2	24.3	26.3
37	24.8	25.8	26.3	25.7	25.9	24.3	25.2	24.0	25.0

Вар.	D1	D2	D3	D4	D5	D6	D7	D8	D9
38	20.2	19.0	20.3	19.0	19.8	19.8	20.6	21.5	21.3
39	14.0	13.0	14.4	12.7	14.1	12.9	12.7	15.4	14.7
40	12.6	13.6	12.7	11.5	11.7	13.8	12.4	13.1	13.4
41	31.5	32.1	32.6	30.1	31.2	31.3	31.2	30.9	31.5
42	33.6	32.6	32.7	34.3	33.2	34.8	32.7	32.5	34.6
43	21.6	21.2	22.8	22.6	20.9	23.1	20.2	20.2	22.4
44	12.6	11.3	13.5	11.3	14.1	12.3	13.9	13.3	11.8
45	20.4	20.9	21.3	20.7	19.5	21.0	21.0	21.9	19.8
46	36.1	35.4	36.6	36.4	34.9	35.0	34.9	35.8	35.5
47	21.0	20.8	22.5	21.4	20.6	20.0	22.0	21.6	21.1
48	13.0	11.9	12.1	12.1	13.7	11.7	11.6	13.7	12.8
49	26.7	25.8	25.4	28.0	26.5	27.0	28.0	27.3	25.4
50	34.8	34.9	34.9	33.4	36.1	33.3	33.4	35.2	36.1
51	26.3	25.2	26.6	26.4	27.6	26.8	27.5	26.6	25.3
52	19.9	18.9	20.6	20.2	21.1	20.7	19.9	19.8	20.1
53	20.6	19.1	20.9	20.8	20.9	19.1	21.7	20.0	21.0
54	33.7	33.5	34.1	34.2	32.5	32.4	32.5	32.7	32.5
55	25.8	27.0	26.0	24.7	24.6	24.7	25.0	25.7	27.1
56	19.8	18.5	18.9	19.7	18.7	19.3	20.2	20.6	18.8
57	13.6	14.5	13.2	13.9	13.8	12.4	14.7	14.7	14.5
58	14.2	14.6	14.4	13.9	15.1	15.1	12.9	13.8	14.4
59	35.7	36.7	34.6	36.8	36.3	35.3	34.7	35.9	37.1
60	31.5	31.0	32.0	33.0	32.6	30.4	31.0	30.7	32.7
61	31.2	31.1	30.9	29.7	32.4	30.4	31.8	31.3	32.1
62	13.9	13.8	15.3	14.2	12.7	14.0	14.2	13.1	14.5
63	36.0	36.5	35.2	36.3	34.9	35.2	36.9	35.4	34.7
64	26.4	27.3	25.3	27.4	25.9	25.7	25.5	27.2	27.1
65	13.7	14.8	14.1	12.6	13.7	14.8	13.4	15.2	13.3
66	17.8	18.2	16.5	19.0	16.8	18.6	16.3	18.9	18.4
67	37.8	38.8	37.8	37.0	36.7	39.0	38.3	38.6	38.8
68	31.2	31.6	30.5	31.7	30.6	30.5	31.5	30.5	31.1
69	21.8	20.5	22.7	20.6	20.9	21.9	22.3	22.7	22.1
70	33.5	32.4	34.8	34.4	33.6	33.3	35.0	32.8	34.9
71	12.7	11.3	12.5	13.5	13.8	13.5	13.2	12.5	13.6
72	13.0	14.5	12.6	12.0	13.9	12.7	13.9	13.4	14.1
73	30.7	31.4	29.3	30.9	30.3	31.7	29.2	29.8	32.1
74	21.1	22.4	21.8	19.6	21.8	19.8	21.3	19.8	21.7
75	11.6	11.0	12.0	12.7	12.1	12.9	11.6	11.6	13.0
76	22.5	23.0	21.3	22.0	22.9	21.5	21.6	23.6	21.4
77	11.9	13.2	11.3	12.4	13.1	10.6	12.3	13.4	12.0
78	20.9	20.7	19.6	20.0	21.3	20.4	22.0	19.5	21.5
79	31.1	30.4	30.1	30.4	32.2	31.3	31.6	31.7	32.0
80	12.1	12.1	12.2	11.9	12.8	10.8	12.2	13.2	12.0
81	25.0	25.1	26.2	25.2	24.9	23.7	25.3	24.7	24.1
82	11.0	9.6	9.9	10.7	12.2	9.7	12.2	10.6	12.1
83	13.9	12.7	13.8	15.2	13.9	12.8	14.4	12.5	15.3
84	17.7	18.9	18.9	18.8	16.3	18.4	17.2	18.3	18.6
85	11.3	11.0	11.5	10.0	12.6	10.5	10.2	10.8	12.0
86	29.5	29.3	28.4	29.2	30.3	28.1	29.5	28.3	31.0
87	20.3	19.8	21.4	19.5	20.9	19.4	20.0	20.3	20.5
88	19.1	20.0	20.2	17.7	20.6	20.5	20.5	20.5	18.2
Вар.	D1	D2	D3	D4	D5	D6	D7	D8	D9
89	17.7	17.0	16.5	18.8	17.2	18.9	17.9	18.9	18.4
90	39.8	38.9	38.8	40.5	40.2	38.9	38.9	40.4	38.5
91	37.0	36.6	37.6	37.7	36.8	35.7	38.2	35.7	37.0
92	38.8	39.2	38.5	39.6	38.7	38.6	37.4	38.8	37.9
93	15.5	15.5	16.9	14.3	17.0	16.3	14.5	15.3	16.8
94	20.5	20.8	20.1	21.3	20.0	20.3	19.2	20.2	21.8
95	12.6	12.9	13.7	12.3	14.0	12.5	13.2	13.5	13.3
96	32.0	32.1	33.4	30.7	32.4	30.8	30.7	33.2	33.4
97	28.2	29.5	28.7	29.7	27.2	27.6	28.6	27.7	29.1
98	36.1	37.4	37.4	36.6	36.5	36.2	36.2	36.4	36.7
99	22.7	23.8	23.5	22.6	23.0	22.5	22.1	22.3	23.2
00	16.8	16.8	17.2	17.3	15.8	16.6	17.4	16.7	15.6
n	5	10	7	8	6	11	3	6	5