Celestial Navigation Fix Based on Particle Swarm Optimization

Tsou, Ming-Cheng

doi:10.1515/pomr-2015-0052

Cited by 4 publications

(4 citation statements)

References 15 publications

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“…Latitude Longitude Intercept Method (IM) 41°38.6′ N 017°08.1′ W SEEM (Chen et al, 2003) [5] 41°39.1′ N 017°07.3′ W GA (Tsou, 2012) [8] 41°39.1′ N 017°07.3′ W PSO (Tsou, 2015) [9] 41°39.1′ N 017°07.3′ W Gonzalez (Gonzalez, 2008) [6] 41°39.1′ N 017°07.3′ W…”

Section: Methodsmentioning

confidence: 99%

“…Some researchers have adopted simultaneous equations [5], while others have acquired the position by calculating the two intersections of two small circles using the vector method and the spherical triangle method [6,7]. Furthermore, the genetic algorithm (GA) and particle swarm optimization were also applied for the first time in calculating the mathematical optimization of celestial positioning [8,9]. The Sumner line method, as proposed by US Navy Captain Thomas Hubbard Sumner, has been explored by a small number of researchers [10,11].…”

Section: Introductionmentioning

confidence: 99%

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A Novel Analytical Solution Method for Celestial Positioning

Tsai

Tseng

Chen

et al. 2022

JMSE

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Traditional celestial navigation adopts the intercept method or Sumner line method in order to solve the fix problems of celestial sight reduction. While an estimated position is often needed in order to complete celestial positioning, these methods are not rigorous and they have many shortcomings. Thus, this study has analyzed the geometry of the circle of equal altitude and the two-body problem. Furthermore, vector methods are proposed without using spherical trigonometry, in order to meet navigation needs. Finally, web mapping was used to display the results. The results show that the two methods that are proposed in this study had better accuracy, practical convenience, and faster computing speed than those which have been proposed by other studies. The two methods’ capability to avoid complicated manual calculations and chart work processes makes them highly suitable as an alternative to the use of global navigation satellite systems. These methods enable maritime school students to quickly understand the principles of celestial navigation through computing and graphical interfaces.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Novel Analytical Solution Method for Celestial Positioning

Tsai

Tseng

Chen

et al. 2022

JMSE

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show abstract

“…Electronic chart work is performed using the spatial data processing and analysis capabilities found in GIS, achieving outcomes that would be impossible with paper chart work. The proposed method is simple, fast, and accurate, and can avoid the cumbersome work and inaccuracy of the traditional Intercept Method (IM) or the complicated, and often obscured, computation involved in numerical methods [2,3,4,5,6,7]. The method can also provide a reference for the development of next-generation electronic Using GIS to Obtain Celestial Fix under the Framework of an ECDIS System…”

Section: Introductionmentioning

confidence: 99%

Using GIS to Obtain Celestial Fix under the Framework of an ECDIS System

Tsou¹

2020

TransNav

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“…By using the evolution algorithms in artificial intelligence, studies referred in [3,4] applied the genetic algorithm and the particle swarm optimization to determine an optimal position of ship. The advantage of these optimal algorithms is to imitate the natural processes of biological evolution in searching the global solution for complex problems without certain equations.…”

Section: Introductionmentioning

confidence: 99%

A Theoretical Approach of Astronomical Ship Positioning Using a Single Celestial Body and Secant Technique

Nguyen¹

2020

IJFIS

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In this article, a new approach to solve an astronomical ship position is proposed based on a single celestial body and secant technique. The mathematical equations relating the ship position to a celestial body are described using an altitude and an azimuth of celestial body. These equations are established using knowledge of spherical trigonometry. Numerical analysis is then employed based on secant method to solve the mathematical equations for the ship position. This technique uses the altitude and the azimuth simultaneously while existing methods need to observe the altitude either of two celestial bodies or of a single body at two different times. Therefore, it is worth to apply this proposed technique when there is only a single celestial body identified. To validate the feasibility of the proposed technique, two numerical examples were performed.

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Celestial Navigation Fix Based on Particle Swarm Optimization

Abstract: ABSTRACT

Cited by 4 publications

References 15 publications

A Novel Analytical Solution Method for Celestial Positioning

A Novel Analytical Solution Method for Celestial Positioning

Using GIS to Obtain Celestial Fix under the Framework of an ECDIS System

A Theoretical Approach of Astronomical Ship Positioning Using a Single Celestial Body and Secant Technique

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