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History of Science Department University of Aarhus

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102 6. KEPLER BEV GELSEN<br />

Model Planet<br />

(i j) Venus Mars Jupiter Saturn<br />

vgmax/<br />

(1 1) 01 032 02 04<br />

(1 2) 043 141 014 010<br />

(1 3) 114 254 016 010<br />

(1 4) 230 524 031 016<br />

(2 2) 122 14 050 031<br />

(2 3) 26 1312 042 031<br />

(2 4) 312 1336 055 037<br />

(3 2) 348 1648 318 412<br />

(3 3) 248 1736 318 4<br />

(3 4) 212 1912 318 354<br />

(4 4) 530 34 636 754<br />

(6 1) 02 048 03 04<br />

(6 2) 043 137 014 011<br />

(6 3) 114 254 016 010<br />

(6 4) 230 524 031 016<br />

Tabel 6.6. For Venus skal indexene for planet og Jord byttes om.<br />

Tabel 6.6 giver estimerede v rdier af den maksimale afvigelse fra Kepler bev -<br />

gelsen, afrundet til n rmeste bueminut, for forskellige modelkombinationer. Estimeringen<br />

er foretaget ved a sning som g. eksempel viser:<br />

Fig. 6.9 viser for en (1 1)-model, afvigelsen i geocentrisk l ngdegrad, af Jupiter i<br />

et enkelt oml b. For at opna ere forskellige Jord-Jupiter kon gurationer har jeg i<br />

Jordens equantmodel sat Mo =360Mp, hvorved Jorden udf rer et helt baneoml b<br />

for hver grad Jupiter bev ger sig.<br />

0.03<br />

0.02<br />

0.01<br />

0<br />

1 2 3 4 5 6<br />

Figur 6.9. vg som funktion af Mp. Enheden pa y og x-aksen er<br />

hhv. grader og radianer.<br />

Af guren a ses direkte at vgmax 0:04 0 2 .

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