Comparison of Equations for Meridional Distance from the Equator

• Tobita Mikio

  The Geographical Survey Institute

• Kawase Kazushige

  The Geographical Survey Institute

• Masaharu Hiroshi

  The Geographical Survey Institute

Bibliographic Information

Other Title

• 赤道からある緯度までの子午線長を計算する３つの計算式の比較
• セキドウ カラ アル イド マデ ノ シゴセンチョウ オ ケイサン スル ミッツ ノ ケイサンシキ ノ ヒカク

Abstract

Three equations for meridional distance from the equator are compared. Accuracies, advantages and disadvantages are discussed. Conventional equation with higher terms has enough accuracy and slow convergence. Bessel’s simple equation is very easy for computer programming and has the fastest convergence and the fastest calculation speed. An analytic equation derived from elliptic integrals is easy for programming and has fast convergence and the highest accuracy.

Journal

• Journal of the Geodetic Society of Japan

  Journal of the Geodetic Society of Japan 55 (3), 315-324, 2009

  The Geodetic Society of Japan

Details

• CRID: 1390001204067952640
• NII Article ID: 10026428314
• NII Book ID: AN00134900
• DOI: 10.11366/sokuchi.55.315
• ISSN: 2185517X
• ISSN: 00380830
• NDL BIB ID: 10561479
• Web Site: http://id.ndl.go.jp/bib/10561479
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I10561479
• Text Lang: ja
• Data Source:
  • JaLC
  • NDL
  • CiNii Articles
• Abstract License Flag: Disallowed