Development of Computer Program for Solving Astronomical Ship Position Based on Circle of Equal Altitude Equation and SVD-Least Square Algorithm

• 발행기관: 한국항해항만학회
• 저자명: Van-Suong Nguyen Namkyun Im
• 간행물 정보: 『한국항해항만학회지』제38권 제2호, 89~96쪽, 전체 7쪽
• 주제분류: 공학 > 해양공학
• 파일형태: PDF
• 발행일자: 2014.04.30

영문 초록

This paper presents an improvement for calculating method of astronomical ship position based on circle of equal altitude equation. In addition, to enhance the accuracy of ship position achieved from solving equation system, the authors used singular value decomposition (SVD) in least square method instead of normal decomposition. In maths, the SVD was proved more numerically stable than normal decomposition. Therefore, the solution of equation system will be more efficient and the result would be more accurate than previous methods. By proposal algorithm, a computer program have been developed to help the navigators in calculating directly ship position when the modern equipment has failure. Finally, some of experiments are carried out to verify effectiveness of proposed algorithm, the results show that the accuracy of ship position based on new method is better than the intercept method.

목차

Abstract

1. Introduction

2. Establishing circle of equal altitude equation on Cartesian coordinate system

3. The SVD-Least square algorithm for solving astronomical ship position

4. Development of calculation program

5. Conclusion

References

키워드

astronomical ship position intercept method circle of equal altitude SVD decomposition calculation program