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The Development Of The Overlapping-Plate Method

Published online by Cambridge University Press:  03 August 2017

Heinrich Eichhorn
Heinrich Eichhorn*
Affiliation:
Institut für Astronomie, Universität Innsbruck, Austria

Abstract

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The principles of focal-plane astrometry are described, as well as the development of the overlapping-plate method. In particular, the advantages and pitfalls of this method are discussed. An extensive bibliography is appended.

Type
Part II: Current Research
Information
Symposium - International Astronomical Union , Volume 133: Mapping the Sky: Past Heritage and Future Directions , 1988 , pp. 177 - 199
Copyright
Copyright © Kluwer 1988 

References

References and Bibliography

Brown, D. C. 1971. ‘Inversion of large matrices encountered in large scale problems of photogrammetry and photographic astrometry’. In: Conference on photographic astrometric technique (Eichhorn, H., Ed.) NASA CR 1825, pp. 249–263 Google Scholar
Cova, S. J. 1981. ‘A proper motion survey in the area of the galactic cluster Coma Berenices’. Rev. Mex. A. A. 6, 123–128 Google Scholar
Clube, S. V. M. 1968. ‘Relative star positions from overlapping photographic plates’. In: Highlights of Astronomy (Perek, L., Ed.). Dordrecht (Reidel), pp. 347–351 Google Scholar
Clube, S. V. M. 1971. ‘The improvement of star positions by photographic methods’. In: Conference on photographic astrometric technique (Eichhorn, H., Ed.), NASA CR 1825, pp. 199–207 Google Scholar
Clube, S. V. M. 1974. ‘Star positions from overlapping plates in the Cape zone −40° to −52°’. In: New problems in Astrometry. IAU Symposium No. 61 (Gliese, W., Murray, C. A. and Tucker, R. H., Eds.). Dordrecht (Reidel), pp. 305–306 Google Scholar
de Vegt, C. 1967. ‘Zur Reduktion photographischer Sternpositionen bei mehrfacher Abdeckung des Feldes’. Astron. Nachr. 290, pp.119–123 = Mitt. Hamburg-Bergedorf No.132 Google Scholar
de Vegt, C. 1968. ‘Report on overlap methods in photographic astrometry’. In: Highlights of Astronomy (Perek, L., Ed.). Dordrecht (Reidel), pp. 343–346 CrossRefGoogle Scholar
de Vegt, C. 1974. ‘On the project of a new fourfold coverage of the northern hemisphere’. In: New Problems in Astrometry (Gliese, W., Murray, C. A. and Tucker, R. H., Eds.). Dordrecht (Reidel), pp. 209–215 Google Scholar
de Vegt, C. 1975. ‘On magnitude errors and systematic position and proper motion differences between the Bergedorf - and Straßbourg solution of the AGK2/3 catalogue’. Astron. Astrophys. 43, 303–308 Google Scholar
de Vegt, C. 1978. ‘Current problems of large field astrometry’. Bull. d'Inf. CDS No. 15, 51–63 Google Scholar
de Vegt, C. 1979. ‘Catalogue reduction techniques’. In: Modern Astrometry, IAU Colloquium No. 48 (Prochazka, F. V. and Tucker, R. H., Eds.). Vienna (University Observatory), pp. 389–390 Google Scholar
de Vegt, C. 1981. ‘Der Cape Astrometric Survey (CPC2)’. Mitt. d. Astron. Ges. No. 52, 156 (abstract) Google Scholar
de Vegt, C. and Ebner, H. 1972. ‘Block adjustment methods in photographic astrometry’. Astron. Astrophys. 17, 276–285 Google Scholar
de Vegt, C. and Ebner, H. 1974. ‘A general computer program for the application of a rigorous block adjustment solution in photographic astrometry’. In: New problems in astrometry, IAU Symposium no. 61 (Gliese, W., Murray, C. A. and Tucker, R. H., Eds.) Dordrecht (Reidel), pp. 307–308 Google Scholar
de Vegt, C. and Ebner, H. 1974a. ‘A general computer program for the application of the rigorous block adjustment solution in photographic astrometry’. Mon. Not. R. astr. Soc. 167, 169–181 CrossRefGoogle Scholar
de Vegt, C., Ebner, H. and von der Heide, K. 1979. ‘A general computer program for the extended plate overlap algorithm’. In: Modern Astrometry, IAU Colloquium No.48 (Prochazka, F. V. and Tucker, R. H., Eds.) Vienna (University Observatory), pp. 287–293 Google Scholar
de Vegt, C., Fehlberg, J., Kleine, T., Schramm, J. and Zacharias, N. 1984. ‘Hamburger Software-Entwicklung zur Reduktion astronomischer Meßdaten’. Mitt. d. Astron. Ges. No. 62, 210 Google Scholar
de Vegt, C., Nicholson, W., King, D. L. and Murray, C. A. 1983. ‘Progress report on the Second Cape Photographic Catalogue (CPC2)’. Occas. Rep. R. Obs. Edinburgh No. 10, 75–78 Google Scholar
Dieckvoß, W. 1955. ‘Vermessung des offenen Sternhaufens Messier 34’. Astron. Nachr. 282, 25–32 = Mitt. Hamburger Sternw. No. 90.Google Scholar
Dieckvoß, W. 1970. ‘Experience with a simple plate overlap reduction method in a field around Alpha Persei’. In: Proper Motions, IAU Coll. No. 7, (Luyten, W. J., Ed.). Minneapolis (Univ. of Minnesota), pp. 158–163 Google Scholar
Dieckvoß, W. 1973. ‘Eigenbewegungen in einem Feld um Alpha Persei’. Mitt. d. Astron. Ges. No. 32, 213 (abstract) Google Scholar
Dieckvoß, W. und de Vegt, C. 1967. ‘Iterative Verbesserungen der Positionen und Eigenbewegungen von Anhaltsternen in einem mehrfach überdeckten Sternfeld’. Astron. Nachr. 290, 125–128 = Mitt. Hamburger Sternwarte 12, No. 133 CrossRefGoogle Scholar
Donner, A. 1896. ‘Sur le rattachement des clichés astrographiques’. Acta Soc. Scient. Fenn. 21, No. 8 Google Scholar
Donner, A. and Furuhjelm, R. 1929. Catalogue photographique du ciel, Zone de Helsingfors 1rd ser., I/1, 52 Google Scholar
Ebner, H. 1969. ‘Genauigkeitsuntersuchung zur photogrammetrischen Sternkoordinatenbestimmung durch geschlossene Blockausgleichung’. Deutsche Geodätische Kommission d. Bayr. Akad. d. Wiss. Reihe, C, Heft 41, 91pp.Google Scholar
Ebner, H. 1970. ‘Genauigkeitserwartung photographischer Sternpositionen bei geschlossener Blockausgleichung’. Astron. Nachr. 295, 65–69 Google Scholar
Eichhorn, H. 1960. ‘Über die Reduktion von photographischen Sternpositionen und Eigenbewegungen’. Astron. Nachr. 285, 233–237 CrossRefGoogle Scholar
Eichhorn, H. 1971. ‘The behavior of magnitude dependent systematic errors’ In: Conference on photographic astrometric technique (Eichhorn, H., Ed.). NASA CR 1825, pp. 241–245 Google Scholar
Eichhorn, H. 1971a. ‘On the direct use of spherical coordinates in photographic astrometry’. Ann. d. Univ.-Sternwarte Wien 30, 5–13 Google Scholar
Eichhorn, H. 1985. ‘The direct use of spherical coordinates in focal plane astrometry’. Astron. Astrophys. 150, 251–255 Google Scholar
Eichhorn, H. and Gatewood, G. D. 1967. ‘New plate constants for the northern Hyderabad zone (+35° to +40°) of the Astrographic Catalogue, in part computed by the overlap method’. Astron. J. 72, 1191–1198 CrossRefGoogle Scholar
Eichhorn, H., Googe, W. D. and Gatewood, G. 1967. ‘Concerning the plate overlap method’. Astron. J. 72, 626–630 CrossRefGoogle Scholar
Eichhorn, H. K., Googe, W. D., Lukac, C. F. and Murphy, J. K. 1969. ‘A catalog of positions for 502 stars in the region of the Pleiades’. TOPOCOM Tech. Rept. No. 70.Google Scholar
Eichhorn, H., Googe, W. D., Lukac, C. F. and Murphy, J. K. 1970. ‘Accurate positions of 502 stars in the region of the Pleiades’. Mem. R. astr. Soc. 73, (pt.2) 125–151 Google Scholar
Eichhorn, H. Googe, W. D., Lukac, C. F. and Murphy, J. K. 1983. ‘Catalogue of 20457 star positions obtained by photography in the declination zone −48° to −54° (1950)’. Astron. J. 88, 546–558 = Contrib. Dept. Astron. Univ. of Florida No. 51.CrossRefGoogle Scholar
Eichhorn, H. and Jefferys, W. H. 1971. ‘Rigorous determination of astrometric quantities, especially parallaxes, by photography’. In: Proc. of the Fourth Astrometric Conference (Ianna, P. A., Ed.), Pub. Leander McCormick Obs. 16, 267–282 Google Scholar
Eichhorn, H. and Russell, J. 1976. ‘An algorithm for the statistically rigorous and noniterative computation of trigonometric parallaxes’. Mon. Not. R. astr. Soc. 174, 679–693 Google Scholar
Eichhorn, H. and Williams, C. A. 1963. ‘On the systematic accuracy of photographic astrometric data’. Astron. J. 68, 221–231 CrossRefGoogle Scholar
Fallon, F. W. 1977. ‘Proper motions in the Orion Nebula Cluster’. Bull. Amer. Astron. Soc. 9, 333 (abstract) Google Scholar
Fallon, F. W. 1980. ‘Catalogue of positions of 15000 stars in the zone 60° to 70° south declination’. Bull. Amer. Astron. Soc. 12, 454 (abstract) Google Scholar
Fallon, F. W. 1983. ‘Catalogue of the positions and proper motions of stars between declinations −60° and −70°. Reduced to the equinox of 1950 without applying proper motion’. Trans. Astron. Obs. Yale Univ. 32, pt. II Google Scholar
Fresneau, A. 1981. ‘Recursive estimation of the reduction parameters of an astrometric plate’. Astron. Astrophys. 102, 143–146 Google Scholar
Führmann, U. 1979. Neureduktion des AGK2-Sternkataloges und Untersuchung der systematischen Fehler mit Hilfe von Blockausgleichungsverfahren. Dissertation Universität Hamburg.Google Scholar
Gatewood, G. D. 1987. ‘The multichannel astrometric photometer and atmospheric limitations in the measurement of relative positions’. Astron. J. 94, 213–224 Google Scholar
Gatewood, G. and Eichhorn, H. 1972. ‘The positions and proper motions of 127 stars in the region of WX Centauri’. Mon. Not. R. astr. Soc. 155, 415–424 Google Scholar
Gatewood, G. and Eichhorn, H. 1973. ‘An unsuccessful search for a planetary companion of Barnard's star (BD +4° 3561)’. Astron. J. 78, 769–776 Google Scholar
Gatewood, G. and Russell, J. 1974. ‘Astrometric determination of the gravitational redshift of van Maanen 2 (EG5)’. Astron. J. 79, 815–818 Google Scholar
Googe, W. D. 1967. ‘The mathematical implementation of the overlap plate reduction technique’. Astron. J. 72, 623–625 Google Scholar
Googe, W. D., Eichhorn, H. and Lukac, C. F. 1970. ‘The overlap algorithm for the reduction of photographic star catalogues’. Mon. Not. R. astr. Soc. 150, 35–44 Google Scholar
Googe, W. D. and Lukac, C. F. 1971. ‘Photographic astrometry and overlap reduction techniques’. In: Conf. on photographic astrometric technique (Eichhorn, H., Ed.), NASA CR 1825, pp. 209–218 Google Scholar
Herget, P. 1970. ‘The solution of overlapping plates by iteration’. In: IAU Coll. No. 7, Proper motions (Luyten, W. J., Ed.) Minneapolis (Univ. of Minnesota), pp. 94–95 Google Scholar
Ianna, P. 1978. ‘An evaluation of parallax reduction techniques’. Bull. Amer. Astron. Soc. 10, 659 (abstract) Google Scholar
Jefferys, W. H. 1963. ‘On computational technique for photographic astrometry with overlapping plates’. Astron. J. 68, 111–113 Google Scholar
Jefferys, W. H. 1979. ‘On the overlapping-plate method in astrometry’. Astron. J. 84, 1775–1777 Google Scholar
Jefferys, W. H. 1980. ‘On the method of least squares’. Astron. J. 85, 177–181 Google Scholar
Jefferys, W. H. 1980a. ‘On covariance matrices arising in least squares adjustments’. Bull. Amer. Astron. Soc. 12, 742–743 (abstract) Google Scholar
Jefferys, W. H. 1981. ‘On the method of least squares. II.’ Astron. J. 86, 149–155 Google Scholar
Jefferys, W. H. 1981a. ‘Overlapping plate reduction using orthogonal transformations’. Bull. Amer. Astron. Soc. 13, 569 (abstract) Google Scholar
Jefferys, W. H. and Feo, J. 1986. ‘Software for Space Telescope astrometry’. In: Astrometric Techniques. IAU Symp. No. 109, (Eichhorn, H. and Leacock, R. J., Eds.) Dordrecht (Reidel), pp. 637–641 CrossRefGoogle Scholar
Jefferys, W. H. 1987. ‘Quaternions as astrometric plate constants’. Astron. J. 93, 755–759 Google Scholar
Krejnin, E. I. and Tolchel'nikova-Murri, S. A. 1982. ‘On joint and separate reduction of equations in astrometry’. Izv. Glav. Astr. Obs. Pulkovo, Astrofiz. Astrometr. No. 200, 77–79 Google Scholar
Lacroute, P. 1964. ‘Amélioration de clichés en utilizant leur recouvrement’. Ann. Obs. Strasbourg 6, 97–111 Google Scholar
Lacroute, P. 1964a. ‘Etude sur l'établissement d'un catalogue photographique’. Ann. Obs. Strasbourg 6, 113–127 Google Scholar
Lacroute, P. 1968. ‘Etudes sur l'emploi de recouvrements pour l'établissement de catalogues photographiques’. In: Highlights of Astronomy (Perek, L., Ed.) Dordrecht (Reidel), pp. 319–337 CrossRefGoogle Scholar
Lacroute, P. 1971. ‘The overlap methods’. In: Conf. on photographic astrometric technique (Eichhorn, H., Ed.) NASA CR 1825, pp. 219–238 Google Scholar
Lacroute, P. 1981. ‘Réduction des catalogues photographiques: zones +31° à −2° (R.C.P.164)’ Bull. d'Inf. CDS No.21, 2–25 Google Scholar
Lacroute, P. 1984. ‘Problèmes posées par l'emploi du catalogue photographique et de la Carte du Ciel’. Bull. d'Inf. CDS No. 27, 39–42 Google Scholar
Lacroute, P. and Valbousquet, A. 1970. ‘Some results on AGK2-AGK3’. In: Proper motions, IAU Colloquium No. 7 (Luyten, W. J., Ed.) Minneapolis (Univ. of Minnesota), pp.153–157.Google Scholar
Lacroute, P. and Valbousquet, A. 1970a. ‘AGK2-AGK3’. IAU Circular No. 2221 Google Scholar
Lacroute, P. and Valbousquet, A. 1972. ‘Propriétés de la résolution du catalogue photographique par l'AGK2-AGK3’ Astron. Astrophys. 17, 296–300 Google Scholar
Lacroute, P. and Valbousquet, A. 1974. ‘Nouvelle résolution de l'AGK2-AGK3’. Astron. Astrophys. Suppl. 16, 345–351 Google Scholar
Lacroute, P. and Valbousquet, A. 1977. ‘Correction d'erreurs dans les zones basses de l'AGK2. Nouvelles réductions’. Astron. Astrophys. Suppl. 29, 83–88 Google Scholar
Lacroute, P. and Valbousquet, A. 1977a. ‘Comparaison entre les solutions de l'AGK2-AGK3 directes et par recouvrement’. Astron. Astrophys. Suppl. 29, 79–81 Google Scholar
Lawson, C. L. and Hanson, R. L. 1974. Solving least squares problems. Englewood Cliffs, N. J. (Prentice Hall)Google Scholar
Lukac, C. F. 1967. ‘The use of overlap conditions in astrometric plate reductions’. Astron. J. 72, 620–623 Google Scholar
Lukac, C. F., Murphy, J. K., Googe, W. D. and Eichhorn, H.K. 1971. ‘An overlap reduction of the measurements used to produce the Cape Photographic Catalogue for −52° to −56° and −56° to −60°’. TOPOCOM Tech. Report No. 1–2, Washington D. C. (U. S. Army Topographic Command). 6+185 pp.Google Scholar
Mateev, N. N. 1985. ‘The accuracy of the simplified method of overlapping plates from observations at the Zeiss wide-ange astrograph’. Glav. astron. obs. Ak. Nauk. SSSR, Leningrad Google Scholar
Murray, C. A. 1967. Oral communication to the author Google Scholar
Murray, C. A. 1972. ‘Some current developments in astrometry’ Mitt. d. Astron. Ges. No. 31, 23–38 Google Scholar
Murray, C. A. 1986. ‘A survey of trigonometric parallaxes and proper motions with the UK Schmidt telescope - III. Stellar populations, density and luminosity distributions in the South Galactic Cap’. Mon. Not. R. astr. Soc. 223, 649–671 Google Scholar
Murray, C. A., Argyle, R. W. and Corben, P. M. 1986. ‘A survey of trigonometric parallaxes and proper motions with the UK Schmidt telescope - II. Astrometric and photometric data for a complete sample of 6125 stars brighter than B=17.5, V=17.0 in the South Galactic Cap’. Mon. Not. R. astr. Soc. 223, 629–648 CrossRefGoogle Scholar
Murray, C. A. and Corben, P. M. 1979. ‘A survey of trigonometric parallaxes and proper motions with the UK Schmidt telescope - I. Methods and first results, for stars brighter than B = 14 in a field near the South Galactic Pole’. Mon. Not. R. astr. Soc. 187, 723–751 Google Scholar
Murray, C. A., Tucker, R. H. and Clements, E. D. 1981. ‘Optical positions of radio sources’. Roy. Obs. Bull. Greenwich-Cape No. 162, 215–238 Google Scholar
Nicholson, W., Penston, M. J., Murray, C. A. and de Vegt, C. 1984. ‘Second Cape Photographic Catalogue 1950.0 -I. Provisional catalogue of positions of stars in the Cape zone, −42° to −52°’. Mon. Not. R. astr. Soc. 208, 911–922, and Microfiche MN 208/2–6 Google Scholar
Penhallow, W. S. 1980. ‘The use of the plate overlap technique in asteroid occultation astronomy’. Bull. Amer. Astron. Soc. 12, 814 (abstract) Google Scholar
Russell, J. L. 1979. ‘A comparative study of trigonometric parallax reduction techniques’. In: Modern Astrometry, IAU Coll. No.48 (Prochazka, F. V. and Tucker, R. H., Eds.) Vienna (Univ. Observatory), pp. 355–370 Google Scholar
Russell, J., Gatewood, G. and Stein, J. W. 1976. ‘Astrometric constants for ∑282, BD +75°325, BD +66°550, Ross 142 and selected stars in those regions’. Astron. J. 81, 545–547 Google Scholar
Stein, J. W., Dabrowski, J. P. and Gatewood, G. 1977. ‘Astrometric investigations of 91 and 92 Tauri, Lalande 20111, 18 Bootis, HD 187399 and selected stars’. Astron. J. 82, 364–367 Google Scholar
Stock, J. 1981. ‘Block adjustment in photographic astrometry’. Rev. Mex. Astron. Astrophys. 6, 115–118 Google Scholar
Stock, J. and Cova, S.J. 1983. ‘On the reduction of the Carte du Ciel catalogues’. Rev. Mex. Astron. Astrophys. 5, 233–260 Google Scholar
Stock, J., Della Prugna, F. and Cova, J. 1984. ‘Reduction of astrographic catalogues’. In: Cometary astronomy, (Yeomans, D. K., West, R. M., Harrington, R. S. and Marsden, B. G., Eds.) JPL Pub. 84–82, pp. 99–104 Google Scholar
von der Heide, K. 1977. ‘Accuracy of the average of star positions obtained from overlapping plates’. Astron. Astrophys. 61, 545–552 Google Scholar
von der Heide, K. 1977a. ‘Accuracy of star positions obtained by a block adjustment’. Astron. Astrophys. 61, 553–562 Google Scholar
von der Heide, K. 1978. ‘Ein Programm–Paket für die gemeinsame Ausgleichung sich überlappender Platten’. Astron. Astrophys. Suppl. 32, 141–155 Google Scholar
von der Heide, K. 1979. ‘On the reduction model of astrographic plates’. Astron. Astrophys. 72, 324–331 Google Scholar
von der Heide, K. 1980. ‘Die Plate Overlap Methode: Steif-heit des Systems und Lösungsverfahren’. Mitt. d. Astron. Ges. No. 48, 150 Google Scholar
Wang, J. 1983. ‘An iteration algorithm of the stellar trigonometric parallax reduction with the central overlap technique’. Ann. Shanghai Obs. Acad. Sinica 5, 111–121 (in Chinese) Google Scholar
Yatskiv, Y. S. and Kur'yanova, A. N. 1985. ‘On a possible astrometric method for reducing star plates’. Kin. Fiz. Nebes. Tel 1, 18–26 Google Scholar
Zacharias, N. 1984. ‘Der CPC2 Katalog, ein photographisches Referenzsternsystem hoher Genauigkeit am Südhimmel’. Mitt. d. Astron. Ges. No. 62, 209 (abstract) Google Scholar