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Analytical astronomical positioning method for determining the position of celestial bodies or the position of the observer

A technology of celestial bodies and surveyors, applied in astronomical navigation, instruments, navigation calculation tools, etc., can solve the problems that have not become the mainstream method of astronomical positioning and navigation, and have not been selected into astronomical navigation reference books and astronomical navigation tutorials.

Active Publication Date: 2019-03-29
艺科纳(北京)科技有限公司
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0010] Previously, the method of analyzing and obtaining the position of the tester was in the stage of research and exploration, and it was limited to using the height of celestial bodies to obtain the position of the tester, and it has not become the mainstream method of astronomical positioning and navigation, nor has it been selected into the astronomical navigation reference book and celestial navigation Tutorial, until the 2002 edition of "THE AMERICAN PRACTICAL NAVIGATOR" Nathaniel Bowditch, Bethesda Maryland, National Imagery and Mapping Agency, 2002, and the 2014 edition of "Navigation" edited by Guo Yu, Zhang Jiping, Dai Ran, Dalian. Dalian Maritime University Press. 2014.8 , both introduce the traditional "height difference method"

Method used

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  • Analytical astronomical positioning method for determining the position of celestial bodies or the position of the observer
  • Analytical astronomical positioning method for determining the position of celestial bodies or the position of the observer
  • Analytical astronomical positioning method for determining the position of celestial bodies or the position of the observer

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Experimental program
Comparison scheme
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specific Embodiment approach 1

[0044] Specific embodiment 1, at a known position Z 1 (Lat1 / Long1), Z 2 (Lat2 / Long2), observe the true azimuths of the same unknown celestial body B as A1 and A2 respectively, and calculate the position of the celestial body; Z 1 and Z 2 Located on the same side of celestial body B as figure 1 ,Z 1 and Z 2 Located on the opposite side of celestial body B such as figure 2 ;Connect points Z on the sphere with a great arc 1 and Z 2 Get two auxiliary triangles △PZ 1 Z 2 and △BZ 1 Z 2 and astronomical triangle △PZ 1 B and ΔPZ 2 B forms an associative spherical triangle, such as figure 1 or figure 2 shown;

[0045] In the triangle △PZ 1 Z 2 , the two sides (90°-Lat1), (90°-Lat2) and their included angle (Long2-Long1) are known, and the other side Z is solved using the cosine formula 1 Z 2 :

[0046] cos(Z 1 Z 2 )=cos(90°-Lat1)*cos(90°-Lat2)+sin(90°-Lat1)

[0047] *sin(90°-Lat2)*cos(Long2-Long1)

[0048] =sin(Lat1)*sin(Lat2)+cos(Lat1)*cos(Lat2)

[0049] *co...

specific Embodiment approach 2

[0075] Specific embodiment 2, at a known position Z 1 (Lat1 / Long1), Z 2 (Lat2 / Long2), observe the true heights of the same unknown celestial body B as h1 and h2 respectively, and calculate the position of the celestial body; Z 1 and Z 2 Located on the same side of celestial body B as figure 1 ,Z 1 and Z 2 Located on the opposite side of celestial body B such as figure 2 , connecting the points Z with a great arc on the sphere 1 and Z 2 Get two auxiliary triangles △PZ 1 Z 2 and △BZ 1 Z 2 and astronomical triangle △PZ 1 B and ΔPZ 2 B forms an associative spherical triangle, such as figure 1 and figure 2 shown;

[0076] In the triangle △PZ 1 Z 2 , the two sides (90°-Lat1), (90°-Lat2) and their included angle (Long2-Long1) are known, and the other side Z is solved using the cosine formula 1 Z 2 :

[0077] cos(Z 1 Z 2 )=cos(90°-Lat1)*cos(90°-Lat2)+sin(90°-Lat1)

[0078] *sin(90°-Lat2)*cos(Long2-Long1)

[0079] =sin(Lat1)*sin(Lat2)+cos(Lat1)*cos(Lat2)

[0...

specific Embodiment approach 3

[0100] Specific embodiment 3, observing a known celestial body B at an unknown position Z 1 (Dec1 / GHA1), B 2 The true azimuths of (Dec2 / GHA2) are A1 and A2 respectively, and the solution calculates the position of the tester; B 1 and B 2 Located on the same side as the subject Z image 3 , B 1 and B 2 Located on the opposite side of the tester Z, such as Figure 4 ; Connect points B on a sphere with a great arc 1 and B 2 Get two auxiliary triangles △PB 1 B 2 and △ZB 1 B 2 and astronomical triangle △PZB 1 and △PZB 2 Form associative spherical triangles, such as image 3 and Figure 4 shown;

[0101] In the triangle △PB 1 B 2 , the two sides (90°-Dec1), (90°-Dec2) and their included angle (GHA2-GHA1) are known, and the other side B is solved using the cosine formula 1 B 2 :

[0102] cos(B 1 B 2 )=cos(90°-Dec1)*cos(90°-Dec2)+sin(90°-Dec1)

[0103] *sin(90°-Dec2)*cos(GHA2-GHA1)

[0104] =sin(Dec1)*sin(Dec2)+cos(Dec1)*cos(Dec2)

[0105] *cos(GHA2-GHA1)

[...

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Abstract

The invention discloses an astronomy positioning method parsing and determining a heavenly body position or an observer position; the method comprises the following steps: observing orientation or height of a same unknown heavenly body from two known positions, resolving an association spherical surface triangle, and parsing the two orientation or height values so as to obtain the heavenly body position data; observing orientation or height of two known heavenly bodies from an unknown position, resolving the association spherical surface triangle, and parsing the two orientation or height values so as to obtain the observer position data. The advantages are that the method needs no mapping and plotting; two orientation or height values are parsed to obtain the heavenly body position data, and two orientation values are parsed to obtain the observer position data, thus providing a novel astronomy positioning method for determining heavenly body position or observer position.

Description

technical field [0001] The invention relates to a method for determining the position of a celestial body or the position of a tester, in particular to an astronomical positioning method for determining the position of a celestial body or the position of a tester by means of analysis. Background technique [0002] The traditional method of determining the position of a celestial body is the meridian method, which is measured when the upper and lower midheaven of the celestial body passes through the meridian circle of the observer. The meridian method to determine the position of a celestial body is to measure the top distance of the celestial body at the time of the celestial body's midheaven, obtain the declination of the celestial body according to the top distance of the celestial body and the latitude of the measurer, and obtain the right ascension of the celestial body according to the time of the celestial body's midheaven. See Li Dongming, Jin Wenjing, Xia Yifei et a...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01C21/02G01C21/20
CPCG01C21/02G01C21/20G16Z99/00
Inventor 李清林
Owner 艺科纳(北京)科技有限公司