ДЗ: Домашнее задание "Расчёт координат НКА, азимута и угла места" (2019)

******** Week 23 almanac for PRN-01 ********

ID: 01

Health: 000

Eccentricity: 0.9119510651E-002

Time of Applicability(s): 405504.0000

Orbital Inclination(rad): 0.9767766478

Rate of Right Ascen(r/s): -0.7714607059E-008

SQRT(A) (m 1/2): 5153.601074

Right Ascen at Week(rad): 0.1298356320E+001

Argument of Perigee(rad): 0.763832925

Mean Anom(rad): -0.2775555476E+001

Af0(s): -0.1344680786E-003

Af1(s/s): -0.1091393642E-010

week: 23

******** Week 23 almanac for PRN-02 ********

ID: 02

Health: 000

Eccentricity: 0.1913595200E-001

Time of Applicability(s): 405504.0000

Orbital Inclination(rad): 0.9558941359

Rate of Right Ascen(r/s): -0.7874613724E-008

SQRT(A) (m 1/2): 5153.488770

Right Ascen at Week(rad): 0.1227231069E+001

Argument of Perigee(rad): -1.714014930

Mean Anom(rad): -0.2505964719E+001

Af0(s): -0.3080368042E-003

Af1(s/s): -0.7275957614E-011

week: 23

******** Week 23 almanac for PRN-03 ********

ID: 03

Health: 000

Eccentricity: 0.2534866333E-002

Time of Applicability(s): 405504.0000

Orbital Inclination(rad): 0.9637018584

Rate of Right Ascen(r/s): -0.7977475151E-008

SQRT(A) (m 1/2): 5153.650879

Right Ascen at Week(rad): 0.2340617245E+001

Argument of Perigee(rad): 0.744435708

Mean Anom(rad): 0.2393717847E+001

Af0(s): -0.1239776611E-004

Af1(s/s): -0.3637978807E-011

week: 23

******** Week 23 almanac for PRN-05 ********

ID: 05

Health: 000

Eccentricity: 0.5902767181E-002

Time of Applicability(s): 405504.0000

Orbital Inclination(rad): 0.9505611558

Rate of Right Ascen(r/s): -0.8126052768E-008

SQRT(A) (m 1/2): 5153.705078

Right Ascen at Week(rad): 0.2312187667E+001

Argument of Perigee(rad): 0.785457710

Mean Anom(rad): 0.1101949480E+000

Af0(s): -0.1907348633E-005

Af1(s/s): 0.0000000000E+000

week: 23

******** Week 23 almanac for PRN-06 ********

ID: 06

Health: 000

Eccentricity: 0.1375675201E-002

Time of Applicability(s): 405504.0000

Orbital Inclination(rad): 0.9764051368

Rate of Right Ascen(r/s): -0.7691748964E-008

SQRT(A) (m 1/2): 5153.614746

Right Ascen at Week(rad): 0.1290080090E+001

Argument of Perigee(rad): -1.146642400

Mean Anom(rad): -0.2437893573E+001

Af0(s): -0.6294250488E-004

Af1(s/s): -0.1091393642E-010

week: 23

******** Week 23 almanac for PRN-07 ********

ID: 07

Health: 000

Eccentricity: 0.1316976547E-001

Time of Applicability(s): 405504.0000

Orbital Inclination(rad): 0.9544979737

Rate of Right Ascen(r/s): -0.7931758961E-008

SQRT(A) (m 1/2): 5153.683105

Right Ascen at Week(rad): -0.1835703124E+001

Argument of Perigee(rad): -2.429935673

Mean Anom(rad): 0.2867362129E+001

Af0(s): -0.1096725464E-003

Af1(s/s): -0.7275957614E-011

week: 23

******** Week 23 almanac for PRN-08 ********

ID: 08

Health: 000

Eccentricity: 0.4450321198E-002

Time of Applicability(s): 405504.0000

Orbital Inclination(rad): 0.9705328666

Rate of Right Ascen(r/s): -0.7886042771E-008

SQRT(A) (m 1/2): 5153.510742

Right Ascen at Week(rad): 0.2309270258E+000

Argument of Perigee(rad): -0.232577104

Mean Anom(rad): -0.4053031157E+000

Af0(s): -0.6675720215E-005

Af1(s/s): 0.0000000000E+000

week: 23

******** Week 23 almanac for PRN-09 ********

ID: 09

Health: 000

Eccentricity: 0.1411437988E-002

Time of Applicability(s): 405504.0000

Orbital Inclination(rad): 0.9529699850

Rate of Right Ascen(r/s): -0.7886042771E-008

SQRT(A) (m 1/2): 5153.542480

Right Ascen at Week(rad): -0.2911050621E+001

Argument of Perigee(rad): 1.679029232

Mean Anom(rad): -0.1312804427E+000

Af0(s): -0.3528594971E-004

Af1(s/s): -0.1091393642E-010

week: 23

******** Week 23 almanac for PRN-10 ********

ID: 10

Health: 000

Eccentricity: 0.4833221436E-002

Time of Applicability(s): 405504.0000

Orbital Inclination(rad): 0.9636958663

Rate of Right Ascen(r/s): -0.7977475151E-008

SQRT(A) (m 1/2): 5153.605957

Right Ascen at Week(rad): 0.2337439927E+001

Argument of Perigee(rad): -2.735428921

Mean Anom(rad): 0.1524165708E+001

Af0(s): -0.6008148193E-004

Af1(s/s): -0.1455191523E-010

week: 23

******** Week 23 almanac for PRN-11 ********

ID: 11

Health: 000

Eccentricity: 0.1667451859E-001

Time of Applicability(s): 405504.0000

Orbital Inclination(rad): 0.9106057499

Rate of Right Ascen(r/s): -0.8286059433E-008

SQRT(A) (m 1/2): 5153.671387

Right Ascen at Week(rad): 0.8400200135E+000

Argument of Perigee(rad): 1.946082704

Mean Anom(rad): 0.2749330996E+001

Af0(s): -0.5025863647E-003

Af1(s/s): 0.1091393642E-010

week: 23

******** Week 23 almanac for PRN-12 ********

ID: 12

Health: 000

Eccentricity: 0.7475852966E-002

Time of Applicability(s): 405504.0000

Orbital Inclination(rad): 0.9813606138

Rate of Right Ascen(r/s): -0.7966046104E-008

SQRT(A) (m 1/2): 5153.531250

Right Ascen at Week(rad): -0.7331443213E+000

Argument of Perigee(rad): 1.106529326

Mean Anom(rad): 0.2204222534E+001

Af0(s): 0.2021789551E-003

Af1(s/s): -0.3637978807E-011

week: 23

******** Week 23 almanac for PRN-13 ********

ID: 13

Health: 000

Eccentricity: 0.3782749176E-002

Time of Applicability(s): 405504.0000

Orbital Inclination(rad): 0.9682858244

Rate of Right Ascen(r/s): -0.7726036106E-008

SQRT(A) (m 1/2): 5153.621094

Right Ascen at Week(rad): -0.2772110761E+001

Argument of Perigee(rad): 1.207348866

Mean Anom(rad): -0.1476836258E+001

Af0(s): -0.4386901855E-004

Af1(s/s): 0.3637978807E-011

week: 23

******** Week 23 almanac for PRN-14 ********

ID: 14

Health: 000

Eccentricity: 0.1077413559E-001

Time of Applicability(s): 405504.0000

Orbital Inclination(rad): 0.9608795734

Rate of Right Ascen(r/s): -0.7794610391E-008

SQRT(A) (m 1/2): 5153.696289

Right Ascen at Week(rad): -0.2817299902E+001

ID

PRN of the SVN

Health

000=usable

Eccentricity

This shows the amount of the orbit deviation from circular (orbit). It is the distance between the foci divided by the length of the semi-major axis (our orbits are very circular).

Time of Applicability

The number of seconds in the orbit when the almanac was generated. Kind of a time tag.

Orbital Inclination

The angle to which the SV orbit meets the equator (GPS is at approximately 55 degrees). Roughly, the SV's orbit will not rise above approximately 55 degrees latitude. The number is part of an equation: # = π/180 = the true inclination.

Rate of Right Ascension

Rate of change in the measurement of the angle of right ascension as defined in the Right Ascension mnemonic.

SQRT(A) Square Root of Semi-Major Axis

This is defined as the measurement from the center of the orbit to either the point of apogee or the point of perigee.

Right Ascension at Time of Almanac (TOA)

Right Ascension is an angular measurement from the vernal equinox ((OMEGA)0).

Argument of Perigee

An angular measurement along the orbital path measured from the ascending node to the point of perigee, measured in the direction of the SV's motion.

Mean Anomaly

Angle (arc) traveled past the longitude of ascending node (value = 0±180 degrees). If the value exceeds 180 degrees, subtract 360 degrees to find the mean anomaly. When the SV has passed perigee and heading towards apogee, the mean anomaly is positive. After the point of apogee, the mean anomaly value will be negative to the point of perigee.

af0

SV clock bias in seconds.

af1

SV clock drift in seconds per seconds.

Week

GPS week (0000–1023), every 7 days since 1999 August 22.

Системное время GPS основано на нумерации недель с начала эпохи и количестве секунд текущей недели.

Спутники GPS кодируют номер недели 10-ю битами, таким образом они могут закодировать только 1024 недели с номерами 0...1023.

При достижении 1024-й недели счетчик обнуляется и следующая неделя получает номер 0.

«Начальная дата» системы времени GPS – Воскресенье, 6 Января 1980 года.

Первый откат номера недели (далее ОНН) произошел в Субботу, 21 Августа 1999 года.

Второй ОНН произошел в Субботу, 6 Апреля 2019 года.

1). Формулы, используемые в алгоритме расчёта координат НКА, представлены в ИКД GPS на стр.161-162.

2). Точные координаты крыши МГТУ им. Н.Э. Баумана в отчете скрыты, требуется уточнить их у преподавателя

и использовать в приведенном скрипте Matlab для расчета азимута и угла места.