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Direct calculation method of celestial fix of double celestial bodies

A technology of astronomical positioning and calculation method, which is applied in the field of astronomical navigation, and can solve the problems of time-consuming and cumbersome operation of astronomical ship position lines, etc.

Inactive Publication Date: 2018-12-28
TIANJIN UNIV
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  • Application Information

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Problems solved by technology

However, the altitude difference method uses a straight line instead of a curve to make an astronomical ship position line, which will introduce errors, and the work of drawing astronomical ship position lines is cumbersome and time-consuming

Method used

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  • Direct calculation method of celestial fix of double celestial bodies
  • Direct calculation method of celestial fix of double celestial bodies
  • Direct calculation method of celestial fix of double celestial bodies

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Embodiment Construction

[0052] In order to further understand the invention content, characteristics and effects of the present invention, the following examples are given, and detailed descriptions are as follows in conjunction with the accompanying drawings:

[0053] The invention proposes a direct calculation method for astronomical positioning of two celestial bodies. In this method, the altitude angle of the two celestial bodies is used as the observation quantity, and the position of the ship is directly obtained by iterative calculation method based on the principle formula of astronomical positioning. It is real-time, fast, simple and accurate.

[0054] A direct calculation method for astronomical positioning of two celestial bodies, comprising the following steps:

[0055] 1. Establish astronomical positioning coordinates

[0056] Such as figure 1 As shown, the center of the earth is defined as O, and the north pole of the earth is defined as p n , the intersection of the Greenwich meridia...

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Abstract

The invention discloses a direct calculation method of celestial fix of double celestial bodies. The method comprises the following steps: step 1, establishing celestial fix coordinates; step 2, deriving a spherical celestial fix formula based on an astronomical triangle; step 3, deriving a celestial fix mathematical model of the double celestial bodies via vector transformation; and step 4, solving the celestial fix mathematical model of the double celestial bodies via Newton iteration to obtain the longitude and latitude of a ship at an observation moment. According to the direct calculationmethod disclosed by the invention, the position of the ship is directly obtained through the Newton iteration method, the cumbersome operation of a ship position line and an error introduced by replacing a curve with a straight line when the ship position line is drawn can be avoided, and the position of the ship can be determined quickly and accurately. Therefore, fast, instantaneous and accurate celestial fix of the double celestial bodies can be realized.

Description

technical field [0001] The invention relates to the technical field of celestial navigation, in particular to a direct calculation method for astronomical positioning of two celestial bodies. Background technique [0002] When a ship is navigating at sea, it is of great significance to determine the position of the ship in real time and accurately to ensure its safety, formulate economic navigation routes, and provide ship data for survey ships. For ship positioning, the traditional method is mainly to observe the altitude angles of two celestial bodies at the same time, and then obtain the intersection point of the ship position line based on the altitude difference method. However, the altitude difference method is used to make astronomical ship position line itself, which is a straight line instead of a curve, which will introduce errors, and the operation of drawing astronomical ship position line is cumbersome and time-consuming. Contents of the invention [0003] Fo...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01C21/02G01C21/20
CPCG01C21/02G01C21/203
Inventor 赵俊鹏翟京生王星宋菲菲
Owner TIANJIN UNIV
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