ON LOXODROMIC NAVIGATION

被引：9

作者：

CARLTONWIPPERN, KC

机构：

来源：

JOURNAL OF NAVIGATION | 1992年 / 45卷 / 02期

关键词：

GEODESY; LOXODROMES; RHUMBLINES;

D O I：

10.1017/S0373463300010791

中图分类号：

U6 [水路运输]; P75 [海洋工程];

学科分类号：

0814 ; 081505 ; 0824 ; 082401 ;

摘要：

This article addresses the mathematical foundations of rhumblines or loxodrome curves. These curves are critical to navigation and small-scale charting by virtue of the fact that they provide an efficient routeing from one point on a surface to another by means of a constant 'course angle'. This article will develop the necessary mathematical relations for the construction of such a curve, then apply the relations to both spherical and oblate-spheroidal surfaces. The purpose of this article is to produce a superior oblate-spheroidal loxodrome curve, which better models curves or routes of constant course on the actual, approximately oblate-spheroidal, Earth.

引用

页码：292 / 297

页数：6

共 23 条

[1]

Encyclopaedia Britannica, (1987)

[2]

May C.W.E., History of Marine Navigation, 6, pp. 176-178, (1973)

[3]

Spiegal M.R., Theory and Problems of Advanced Mathematics for Scientists and Engineers, (1971)

[4]

Morse P.M., Feshbach, Herman, Methods of Theoretical Physics, pp. 504-506, (1953)

[5]

Spiegal M.R., Theory and Problems of Advanced Mathematics for Scientists and Engineers, (1971)

[6]

Korn G.A., Korn, Theresa, Mathematical Handbook for Scientists and Engineers, (1961)

[7]

The coordinate v is identified in this case as the astrodynamic ‘ reduced co-latitude’ Porter, J. Wayne, (1991)

[8]

Bacon R.H., The rhumbline on the ellipsoidal Earth, Navigation, 6, 470, (1959)

[9]

Korn, Granino A., Korn, Theresa, Mathematical Handbook for Scientists and Engineers, (1961)

[10]

Korn G.A., Korn T., Mathematical Handbook for Scientists and Engineers, (1961)

← 1 2 3 →