Du erhältst etwa folgendes Schema: In der Astronomie bezeichnet die ( jährliche) trigonometrische Parallaxe , den Winkel p , unter dem die Erdbahn von einem astronomischen Objekt wie einem Stern oder einer Galaxie aus erscheint. Mit ihrer Hilfe kannst Du die Entfernung r zur Erde berechnen: Der Winkel p ist sehr klein, Du misst ihn deshalb im Bereich von Winkelsekunden. Für so kleine Winkel gilt die sogenannte Kleinwinkelnäherung. Dabei entspricht der Sinus von p dem Winkel p: 1 A E = p · r 1 A E = 1 ' ' · p c p · r = 1 ' ' · p c | ÷ p r = 1 ' ' p · p c. Mit dem Wissen über die Fixsternparallaxe, kannst Du nun die Entfernung des Sterns Sirius herausfinden. Um die Entfernung des Sirius von der Erde zu berechnen, setzt Du die jährliche trigonometrische Parallaxe in die obige Formel aus der Definition ein: Sirius ist also 8,7 Lichtjahre entfernt, genauso lange braucht das Licht, um zur Erde zu gelangen.
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