A modified method for determination of scale factor of the projected geodesic
Author
Source
Issue
Vol. 12, Issue 3 (30 Sep. 2006), pp.882-894, 13 p.
Publisher
University of Baghdad College of Engineering
Publication Date
2006-09-30
Country of Publication
Iraq
No. of Pages
13
Main Subjects
Topics
Abstract AR
يعد استخدام المساقط المعدلة من المواضيع المهمة في الجيوديسي, حيث يمكن حساب معامل التشويه الخطي باتجاه خطوط الطول و دوائر العرض كناتج نهائي إضافة إلى حسابه باتجاه الخط الجيوديسي المسقط, حيث تتباين دقة الطرق حساب معامل التشويه باتجاه خطوط و دوائر العرض.
أما طرق حسابه للخط الجيودسي المسقط فتختلف حسب الدقة و التعقيد. يتبنى هذا البحث طريقة محسنة تؤدي إلى استنتاج القيمة الأدق لمعامل تشويه الخط الجيوديسي المسقط من خلال حساب المسافة الحقيقية و المسقطة للخط الجيوديسي, حيث يستخدم طريقة (3/8 Simpson's rule) لحساب معامل تشويه الخط الجيوديسي بدلا من الطريقة الشائعة (3/8 Simpson's rule).
إن دراسة سلوك الخط الجيوديسي المسقط يتطلب حسابات معقدة و إجراء اختبارات رياضية لإقرار أدق الطرق في الحسابات.
Abstract EN
Conformal projection is one of the most important aspects that geodesy dealing with.
The determination of the scale factors in the meridian, the parallel and projected geodesic directions are the final result of the conformal projection.
Methods for determining the scale factors in the meridian and the parallel directions have a quite sufficient accuracy.
While methods for determining the projected geodesic have different accuracy and computation complicity.
This research adopts a modified method for computing the exact value of scale factor in geodesic direction.
In this method the scale factor is obtained by determining the true and projected distances of the geodetic line.
In the traditional methods for determining the projected distance it is usual to use the 1/3 Simpson's rule in the computations while the modified method the 3/8 Simpson's rule is used.
Computations and mathematical tests were carried out to obtain the scale factors using the traditional methods and comparison was made with modified method.
By applying the developed method and the traditional methods to calculate the scale factor, it was found that the modified method is more accurate and the projected distances can be obtained exactly.
American Psychological Association (APA)
Mahdi, Husayn Ulwan. 2006. A modified method for determination of scale factor of the projected geodesic. Journal of Engineering،Vol. 12, no. 3, pp.882-894.
https://search.emarefa.net/detail/BIM-349392
Modern Language Association (MLA)
Mahdi, Husayn Ulwan. A modified method for determination of scale factor of the projected geodesic. Journal of Engineering Vol. 12, no. 3 (Sep. 2006), pp.882-894.
https://search.emarefa.net/detail/BIM-349392
American Medical Association (AMA)
Mahdi, Husayn Ulwan. A modified method for determination of scale factor of the projected geodesic. Journal of Engineering. 2006. Vol. 12, no. 3, pp.882-894.
https://search.emarefa.net/detail/BIM-349392
Data Type
Journal Articles
Language
English
Notes
Includes appendix : p. 893-894
Record ID
BIM-349392