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Fast and direct calculation method of celestial fix of single celestial body

An astronomical positioning and calculation technology, applied in the field of astronomical navigation, can solve the problems of lack of immediacy and positioning error, and achieve the effect of avoiding tedious operations and accurate positioning

Inactive Publication Date: 2018-12-28
TIANJIN UNIV
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Problems solved by technology

Since the astronomical positioning of a single celestial body in the daytime uses the sun shifting method, the observation of the sun's altitude angle at different times is not immediate, and the position line is made based on the height difference method, which itself uses a straight line instead of a curve, which will introduce positioning errors

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  • Fast and direct calculation method of celestial fix of single celestial body
  • Fast and direct calculation method of celestial fix of single celestial body
  • Fast and direct calculation method of celestial fix of single celestial body

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Embodiment Construction

[0047]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:

[0048] The invention proposes a fast and direct calculation method for astronomical positioning of a single celestial body. This method obtains the altitude angle and azimuth angle of the celestial body at the same time to determine the position of the ship. Taking the altitude angle and azimuth angle of the celestial body at the same time as the observation input data, there is no need for the tedious work of the ship's position line, nor the ship's displacement line at different times, and the direct iterative calculation method can be used to obtain the ship's position. It is real-time, fast, simple and accurate.

[0049] A fast and direct calculation method for astronomical positioning of a single celestial body, comprising the following ...

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Abstract

The invention discloses a fast and direct calculation method of celestial fix of a single celestial body. The method comprises the following steps: step 1, establishing celestial fix coordinates; step2, deriving a spherical celestial fix formula based on an astronomical triangle; step 3, deriving a celestial fix mathematical model of the single celestial body via vector transformation; and step 4, solving the celestial fix mathematical model of the single celestial body via Newton iteration to obtain the longitude and latitude of a ship at an observation moment. According to the fast and direct calculation method disclosed by the invention, the celestial fix is performed by observing an azimuth angle and an elevating angle of the single celestial body at the same moment, the position of the ship is directly obtained through a numerical computation 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.

Description

technical field [0001] The invention relates to the technical field of celestial navigation, in particular to a fast and direct calculation method for astronomical positioning of a single celestial body. 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. Ship positioning, the traditional method is mainly based on the astronomical positioning of measurement tools such as sextant, often according to the elevation angle of two celestial bodies observed at the same time, and then based on the height difference method to obtain the intersection point of the ship position line. During the day, however, the only observable celestial body is the Sun. For the astronomical positioning of a single celestial body, the traditional method uses the sun shifting method, that is, observi...

Claims

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Application Information

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IPC IPC(8): G01C21/02G01C21/20
CPCG01C21/025G01C21/203
Inventor 宋菲菲翟京生张亮王星
Owner TIANJIN UNIV
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