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Vertikalsonnenuhr

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Die Vertikalsonnenuhr ist eine Sonnenuhr mit senkrechtem Zifferblatt. Sie wird meistens an einer Gebäudewand angebracht, um vorhandenen Platz zu nutzen und zugleich die Fassade zu schmücken. Sie ist deshalb die am häufigsten vorkommende Sonnenuhr.<ref>Von insgesamt 3341 Sonnenuhren in Österreich sind 3161 vertikale Sonnenuhren (Stand: 1. Januar 2006; Karl Schwarzinger: Katalog der ortsfesten Sonnenuhren in Österreich. Österreichischer Astronomischer Verein, Wien 2006).</ref>

Datei:Schefflenz-m-kirch-uhr.jpg
Vertikalsonnenuhr mit Polstab für Wahre Ortszeit an einer geringfügig westabweichenden Wand (die Skala enthält für den Nachmittag eine Stundenlinie mehr als für den Vormittag)

Beschreibung

Im Gegensatz zur Horizontalsonnenuhr handelt es sich hierbei um keine Ganztagessonnenuhr. Am längsten wird (auf der Nordhälfte der Erde) eine genau nach Süden gerichtete Wand von der Sonne beschienen, nämlich 12 Stunden an den Tagen der Tag-Nacht-Gleichen. An den längeren Sommertagen sind es sogar weniger als 12 Stunden, und die frühen Morgen- und die späten Abendstunden können auf einer Nordwand-Sonnenuhr angezeigt werden. Mit entsprechender Einschränkung der Anzeigedauer kann jede beliebig ausgerichtete Wand mit einer Vertikalsonnenuhr versehen werden. Eine Ost- beziehungsweise eine West-Sonnenuhr zeigt zwischen Sonnenaufgang und Mittag (Wahre Ortszeit) beziehungsweise zwischen Mittag und Sonnenuntergang an. Zwillingssonnenuhren, die Ost- und West-Sonnenuhr kombinieren, findet man gelegentlich in großen Innenhöfen von Schlössern oder Klöstern.

Berechnung

Zeigt die Wand genau nach Süden, so ist das Zifferblatt symmetrisch, und es gilt folgende Gleichung für den Winkel α zwischen Stundenlinie und Meridian (Vertikale), der außer einer Funktion des Stundenwinkels τ auch eine der Ortskonstanten Φ (geographische Breite) ist:

<math>\alpha = \arctan (\cos \phi \cdot \tan \tau)</math> <ref>Arnold Zenkert: Faszination Sonnenuhr. Verlag Harri Deutsch, Thun und Frankfurt am Main 2002, Seite 54.</ref>

Der Winkel α = 0° gilt für die 12-Uhr-Linie (Wahre Ortszeit).

Meistens zeigt die benutzte Wand nicht genau nach Süden. Sie ist etwas nach Ost oder West verdreht. Für die jetzt unsymmetrische Skala gilt die Gleichung:

<math>\alpha = \arctan (\frac{\cos \phi}{\sin \phi \cdot \sin d +\cot \tau \cdot \cos d})</math> <ref>Arnold Zenkert: Faszination Sonnenuhr. Verlag Harri Deutsch, Thun und Frankfurt am Main 2002, Seite 62.</ref>

d ist der Verdrehwinkel der Wand (positiv bei westlicher Abweichung). Die 12-Uhr-Linie bleibt vertikal (τ=0° → α=0°).

Literatur

Einzelnachweise

<references />

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{{#if: Messung mit Polstab (schattenwerfender Stab oder lichtwerfender Spalt)
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Messung mit Nodus (schattenwerfender Punkt oder lichtwerfendes Loch (Öhrsonnenuhr)) | {{#if:Stundenwinkel||class="erw-nav-gruppe" style="white-space: nowrap;text-align: right;{{#if:|background:#;|{{#switch:grau|eigen=background:#{{#if:||E6E6FF}};|einheitlich=background:;}}}}border: 1px solid transparent;border-top: {{#if: 1|1|2}}px solid #FFF;border-bottom: {{#if: Deklinationswinkel|2|1}}px solid #FFF;padding: 0 1em;{{#if:|width:;|}}"|Stundenwinkel }} {{#if: Messung mit Nodus (schattenwerfender Punkt oder lichtwerfendes Loch) | {{#if:Deklinationswinkel||class="erw-nav-gruppe" style="white-space: nowrap;text-align: right;{{#if:|background:#;|{{#switch:grau|eigen=background:#{{#if:||E6E6FF}};|einheitlich=background:;}}}}border: 1px solid transparent;border-top: {{#if: 2|1|2}}px solid #FFF;border-bottom: {{#if: Höhenwinkel|2|1}}px solid #FFF;padding: 0 1em;{{#if:|width:;|}}"|Deklinationswinkel }} {{#if: Höhensonnenuhr (Alt-Ägyptische Streiflicht-Sonnenuhr | Säulensonnenuhr | Bauernring) | {{#if:Höhenwinkel||class="erw-nav-gruppe" style="white-space: nowrap;text-align: right;{{#if:|background:#;|{{#switch:grau|eigen=background:#{{#if:||E6E6FF}};|einheitlich=background:;}}}}border: 1px solid transparent;border-top: {{#if: 3|1|2}}px solid #FFF;border-bottom: {{#if: Azimut|2|1}}px solid #FFF;padding: 0 1em;{{#if:|width:;|}}"|Höhenwinkel }} {{#if: Azimutale Sonnenuhr (Analemmatische Sonnenuhr | Sonnenuhren-Spinne) | {{#if:Azimut||class="erw-nav-gruppe" style="white-space: nowrap;text-align: right;{{#if:|background:#;|{{#switch:grau|eigen=background:#{{#if:||E6E6FF}};|einheitlich=background:;}}}}border: 1px solid transparent;border-top: {{#if: 4|1|2}}px solid #FFF;border-bottom: {{#if: |2|1}}px solid #FFF;padding: 0 1em;{{#if:|width:;|}}"|Azimut }} {{#if: | {{#if:||class="erw-nav-gruppe" style="white-space: nowrap;text-align: right;{{#if:|background:#;|{{#switch:grau|eigen=background:#{{#if:||E6E6FF}};|einheitlich=background:;}}}}border: 1px solid transparent;border-top: 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transparent;border-top: {{#if: 8|1|2}}px solid #FFF;border-bottom: {{#if: |2|1}}px solid #FFF;padding: 0 1em;{{#if:|width:;|}}"|' }} {{#if: | {{#if:||class="erw-nav-gruppe" style="white-space: nowrap;text-align: right;{{#if:|background:#;|{{#switch:grau|eigen=background:#{{#if:||E6E6FF}};|einheitlich=background:;}}}}border: 1px solid transparent;border-top: {{#if: 9|1|2}}px solid #FFF;border-bottom: {{#if: |2|1}}px solid #FFF;padding: 0 1em;{{#if:|width:;|}}"|' }} {{#if: | {{#if:||class="erw-nav-gruppe" style="white-space: nowrap;text-align: right;{{#if:|background:#;|{{#switch:grau|eigen=background:#{{#if:||E6E6FF}};|einheitlich=background:;}}}}border: 1px solid transparent;border-top: {{#if: 10|1|2}}px solid #FFF;border-bottom: {{#if: |2|1}}px solid #FFF;padding: 0 1em;{{#if:|width:;|}}"|' }} {{#if: | {{#if:||class="erw-nav-gruppe" style="white-space: nowrap;text-align: right;{{#if:|background:#;|{{#switch:grau|eigen=background:#{{#if:||E6E6FF}};|einheitlich=background:;}}}}border: 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{{#if: Messung mit Polstab (schattenwerfender Stab oder lichtwerfender Spalt)
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}} {{#if: Messung mit Polstab (schattenwerfender Stab oder lichtwerfender Spalt)
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Ringförmige Äquatorialsonnenuhr | Bauernring | Säulensonnenuhr | {{#if:Zylinderfläche||class="erw-nav-gruppe" style="white-space: nowrap;text-align: right;{{#if:|background:#;|{{#switch:grau|eigen=background:#{{#if:||E6E6FF}};|einheitlich=background:;}}}}border: 1px solid transparent;border-top: {{#if: 3|1|2}}px solid #FFF;border-bottom: {{#if: |2|1}}px solid #FFF;padding: 0 1em;{{#if:|width:;|}}"|Zylinderfläche }} {{#if: | {{#if:||class="erw-nav-gruppe" style="white-space: nowrap;text-align: right;{{#if:|background:#;|{{#switch:grau|eigen=background:#{{#if:||E6E6FF}};|einheitlich=background:;}}}}border: 1px solid transparent;border-top: {{#if: 4|1|2}}px solid #FFF;border-bottom: {{#if: |2|1}}px solid #FFF;padding: 0 1em;{{#if:|width:;|}}"|' }} {{#if: | {{#if:||class="erw-nav-gruppe" style="white-space: nowrap;text-align: right;{{#if:|background:#;|{{#switch:grau|eigen=background:#{{#if:||E6E6FF}};|einheitlich=background:;}}}}border: 1px solid transparent;border-top: {{#if: 5|1|2}}px solid #FFF;border-bottom: {{#if: |2|1}}px solid #FFF;padding: 0 1em;{{#if:|width:;|}}"|' }} {{#if: | {{#if:||class="erw-nav-gruppe" style="white-space: nowrap;text-align: right;{{#if:|background:#;|{{#switch:grau|eigen=background:#{{#if:||E6E6FF}};|einheitlich=background:;}}}}border: 1px solid transparent;border-top: {{#if: 6|1|2}}px solid #FFF;border-bottom: {{#if: |2|1}}px solid #FFF;padding: 0 1em;{{#if:|width:;|}}"|' }} {{#if: | {{#if:||class="erw-nav-gruppe" style="white-space: nowrap;text-align: right;{{#if:|background:#;|{{#switch:grau|eigen=background:#{{#if:||E6E6FF}};|einheitlich=background:;}}}}border: 1px solid transparent;border-top: {{#if: 7|1|2}}px solid #FFF;border-bottom: {{#if: |2|1}}px solid #FFF;padding: 0 1em;{{#if:|width:;|}}"|' }} {{#if: | {{#if:||class="erw-nav-gruppe" style="white-space: nowrap;text-align: right;{{#if:|background:#;|{{#switch:grau|eigen=background:#{{#if:||E6E6FF}};|einheitlich=background:;}}}}border: 1px solid transparent;border-top: {{#if: 8|1|2}}px solid #FFF;border-bottom: {{#if: |2|1}}px solid #FFF;padding: 0 1em;{{#if:|width:;|}}"|' }} {{#if: | {{#if:||class="erw-nav-gruppe" style="white-space: nowrap;text-align: right;{{#if:|background:#;|{{#switch:grau|eigen=background:#{{#if:||E6E6FF}};|einheitlich=background:;}}}}border: 1px solid transparent;border-top: {{#if: 9|1|2}}px solid #FFF;border-bottom: {{#if: |2|1}}px solid #FFF;padding: 0 1em;{{#if:|width:;|}}"|' }} {{#if: | {{#if:||class="erw-nav-gruppe" style="white-space: nowrap;text-align: right;{{#if:|background:#;|{{#switch:grau|eigen=background:#{{#if:||E6E6FF}};|einheitlich=background:;}}}}border: 1px solid transparent;border-top: {{#if: 10|1|2}}px solid #FFF;border-bottom: {{#if: |2|1}}px solid #FFF;padding: 0 1em;{{#if:|width:;|}}"|' }} {{#if: | {{#if:||class="erw-nav-gruppe" style="white-space: nowrap;text-align: right;{{#if:|background:#;|{{#switch:grau|eigen=background:#{{#if:||E6E6FF}};|einheitlich=background:;}}}}border: 1px solid 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{{#if: Äquatorialsonnenuhr |

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3|1|2}}px solid #FFF;border-bottom: {{#if: |2|1}}px solid #FFF;padding: 0 1em;{{#if:|width:;|}}"|' }} {{#if: | {{#if:||class="erw-nav-gruppe" style="white-space: nowrap;text-align: right;{{#if:|background:#;|{{#switch:grau|eigen=background:#{{#if:||E6E6FF}};|einheitlich=background:;}}}}border: 1px solid transparent;border-top: {{#if: 4|1|2}}px solid #FFF;border-bottom: {{#if: |2|1}}px solid #FFF;padding: 0 1em;{{#if:|width:;|}}"|' }} {{#if: | {{#if:||class="erw-nav-gruppe" style="white-space: nowrap;text-align: right;{{#if:|background:#;|{{#switch:grau|eigen=background:#{{#if:||E6E6FF}};|einheitlich=background:;}}}}border: 1px solid transparent;border-top: {{#if: 5|1|2}}px solid #FFF;border-bottom: {{#if: |2|1}}px solid #FFF;padding: 0 1em;{{#if:|width:;|}}"|' }} {{#if: | {{#if:||class="erw-nav-gruppe" style="white-space: nowrap;text-align: right;{{#if:|background:#;|{{#switch:grau|eigen=background:#{{#if:||E6E6FF}};|einheitlich=background:;}}}}border: 1px solid transparent;border-top: 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{{#if: Bernhardtsche Walze |

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