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History of Science Department University of Aarhus

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64 5. COPERNICUS' PLANETMODELLER I DE REVOLUTIONIBUS<br />

Obs. i i Dato ti<br />

1 212 -294 dec 21<br />

2 21620 139 feb 23<br />

Tabel 5.6<br />

Copernicus antager at anomaliens nulpunkt ( = 0) indtraf pr cist midt mellem<br />

de to observationer, hvorfor positionen af pa observationstidspunkterne ligger<br />

symmetrisk om positionen af = pa tidspunktet midt imellem. 8 I Fig. 5.6 er situationen<br />

pa de to tidspunkter afbildet ved brug af Fig. 5.5 med Ptolemaios' v rdier<br />

ivenstre side.<br />

2θ<br />

δπ<br />

X<br />

P<br />

∆π<br />

∆π<br />

−δπ<br />

2θ<br />

P P = T<br />

T<br />

Figur 5.6<br />

Fra tabel 5.6 fas forskydningen af :<br />

= 2 ; 1 =420<br />

Da t = t2 ; t1 = 432 eg.ar, ndes forskydningen af<br />

= ! t 6<br />

Fra Fig. 5.6 ses at<br />

; =2 =140<br />

og<br />

2 =2! t =9035<br />

max f lger nu fra<br />

= max sin( 1<br />

2 2 )<br />

+<br />

max<br />

1 10<br />

X<br />

T<br />

Ekliptika<br />

Hermed er teorien for pr cessionen, eller rettere for jordaksens bev gelse, klarlagt.<br />

8 Ar -77. Dette tidspunkt korrigeres senere til ca. ar -64.

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