Gravitational lens equation: critical solutions and magnification near folds and cusps
We study approximate solutions of the gravitational lens equation and corresponding lens magnification factor near the critical point. This consideration is based on the Taylor expansion of the lens potential in powers of coordinates and an introduction of a proximity parameter characterising the cl...
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| Published in: | Advances in Astronomy and Space Physics |
|---|---|
| Date: | 2012 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Головна астрономічна обсерваторія НАН України
2012
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/119397 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Gravitational lens equation: critical solutions and magnification near folds and cusps / A.N. Alexandrov, S.M. Koval, V.I. Zhdanov // Advances in Astronomy and Space Physics. — 2012. — Т. 2., вип. 2. — С. 184-187. — Бібліогр.: 12 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862649793571979264 |
|---|---|
| author | Alexandrov, A.N. Koval, S.M. Zhdanov, V.I. |
| author_facet | Alexandrov, A.N. Koval, S.M. Zhdanov, V.I. |
| citation_txt | Gravitational lens equation: critical solutions and magnification near folds and cusps / A.N. Alexandrov, S.M. Koval, V.I. Zhdanov // Advances in Astronomy and Space Physics. — 2012. — Т. 2., вип. 2. — С. 184-187. — Бібліогр.: 12 назв. — англ. |
| collection | DSpace DC |
| container_title | Advances in Astronomy and Space Physics |
| description | We study approximate solutions of the gravitational lens equation and corresponding lens magnification factor near the critical point. This consideration is based on the Taylor expansion of the lens potential in powers of coordinates and an introduction of a proximity parameter characterising the closeness of a point source to the caustic. Second-order corrections to known approximate solutions and magnification are found in case of a general fold point. The first-order corrections near a general cusp are found as well.
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| first_indexed | 2025-12-01T16:38:00Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-119397 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 2227-1481 |
| language | English |
| last_indexed | 2025-12-01T16:38:00Z |
| publishDate | 2012 |
| publisher | Головна астрономічна обсерваторія НАН України |
| record_format | dspace |
| spelling | Alexandrov, A.N. Koval, S.M. Zhdanov, V.I. 2017-06-06T18:27:25Z 2017-06-06T18:27:25Z 2012 Gravitational lens equation: critical solutions and magnification near folds and cusps / A.N. Alexandrov, S.M. Koval, V.I. Zhdanov // Advances in Astronomy and Space Physics. — 2012. — Т. 2., вип. 2. — С. 184-187. — Бібліогр.: 12 назв. — англ. 2227-1481 https://nasplib.isofts.kiev.ua/handle/123456789/119397 We study approximate solutions of the gravitational lens equation and corresponding lens magnification factor near the critical point. This consideration is based on the Taylor expansion of the lens potential in powers of coordinates and an introduction of a proximity parameter characterising the closeness of a point source to the caustic. Second-order corrections to known approximate solutions and magnification are found in case of a general fold point. The first-order corrections near a general cusp are found as well. en Головна астрономічна обсерваторія НАН України Advances in Astronomy and Space Physics Gravitational lens equation: critical solutions and magnification near folds and cusps Article published earlier |
| spellingShingle | Gravitational lens equation: critical solutions and magnification near folds and cusps Alexandrov, A.N. Koval, S.M. Zhdanov, V.I. |
| title | Gravitational lens equation: critical solutions and magnification near folds and cusps |
| title_full | Gravitational lens equation: critical solutions and magnification near folds and cusps |
| title_fullStr | Gravitational lens equation: critical solutions and magnification near folds and cusps |
| title_full_unstemmed | Gravitational lens equation: critical solutions and magnification near folds and cusps |
| title_short | Gravitational lens equation: critical solutions and magnification near folds and cusps |
| title_sort | gravitational lens equation: critical solutions and magnification near folds and cusps |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/119397 |
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