An Efficient Computation of Effective Ground Range Using an Oblate Earth Model
An effcient method is presented to calculate the ground range of a ballistic missile trajectory on a nonrotating Earth. The spherical Earth model does not provide good approximation of distance between two locations on the surface of Earth. We used oblate spheroid Earth model because it provides bet...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/459790 |
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| author | Dalal A. Maturi Malik Zaka Ullah Shahid Ahmad Fayyaz Ahmad |
| author_facet | Dalal A. Maturi Malik Zaka Ullah Shahid Ahmad Fayyaz Ahmad |
| author_sort | Dalal A. Maturi |
| collection | DOAJ |
| description | An effcient method is presented to calculate the ground range of a ballistic missile trajectory on a nonrotating Earth. The spherical Earth model does not provide good approximation of distance between two locations on the surface of Earth. We used oblate spheroid Earth model because it provides better approximations. The effective ground range of a ballistic missile is an arc-length of a planner elliptic (or circle) curve which passes through the launch and target points on the surface of Earth model. A general formulation is presented to calculate the arc-length of an elliptic (or circle) curve which is the intersection of oblate Earth model and a plane. Explicit formulas are developed to calculate the coordinates of center of the ellipse as well as major and minor axes which are necessary ingredients for the calculation of effective ground range. |
| format | Article |
| id | doaj-art-e0ff9643796d4db68e6bf4774862e710 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e0ff9643796d4db68e6bf4774862e7102025-02-03T05:46:42ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/459790459790An Efficient Computation of Effective Ground Range Using an Oblate Earth ModelDalal A. Maturi0Malik Zaka Ullah1Shahid Ahmad2Fayyaz Ahmad3Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Government College University, Lahore 54000, PakistanDepartment of Mathematics, Government College University, Faisalabad 38000, PakistanAn effcient method is presented to calculate the ground range of a ballistic missile trajectory on a nonrotating Earth. The spherical Earth model does not provide good approximation of distance between two locations on the surface of Earth. We used oblate spheroid Earth model because it provides better approximations. The effective ground range of a ballistic missile is an arc-length of a planner elliptic (or circle) curve which passes through the launch and target points on the surface of Earth model. A general formulation is presented to calculate the arc-length of an elliptic (or circle) curve which is the intersection of oblate Earth model and a plane. Explicit formulas are developed to calculate the coordinates of center of the ellipse as well as major and minor axes which are necessary ingredients for the calculation of effective ground range.http://dx.doi.org/10.1155/2014/459790 |
| spellingShingle | Dalal A. Maturi Malik Zaka Ullah Shahid Ahmad Fayyaz Ahmad An Efficient Computation of Effective Ground Range Using an Oblate Earth Model Abstract and Applied Analysis |
| title | An Efficient Computation of Effective Ground Range Using an Oblate Earth Model |
| title_full | An Efficient Computation of Effective Ground Range Using an Oblate Earth Model |
| title_fullStr | An Efficient Computation of Effective Ground Range Using an Oblate Earth Model |
| title_full_unstemmed | An Efficient Computation of Effective Ground Range Using an Oblate Earth Model |
| title_short | An Efficient Computation of Effective Ground Range Using an Oblate Earth Model |
| title_sort | efficient computation of effective ground range using an oblate earth model |
| url | http://dx.doi.org/10.1155/2014/459790 |
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