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Keplers Lov

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Submitted By Alexandergroth
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Keplers lov
Hvad går hver af lovende ud på?

Den første går ud på at liget meget hvor planeten befinder sig i Ekliptika, så påvirker det ikke størrelsen på den. Den indeholder storeaksen, halvdelen af den hedder a, og er det hele aksen man snakker om hedder den a2. Der er derfor også en lille akse, halvdelen af den hedder b og hele aksen er a2.

Den anden går ud på hastigheds bestemmelse. inden for to tidsrum, vil linjen mellem solens og en planets centrummer altid passere et konstant Arial.

Den tredje går ud på omløbstiden af ekliptika, hvor hurtig den langsomme bane og den hurtige bane er. Hvis en planet med omløbstiden t følger en ellipseformet bane, hvis halve storakse er a, så vil t^2 være ligefremt proportional med a^3.

T= omløbstid a=halve storakser
T^2/a^3=konstant

Hvad betyder Keplers anden lov for planetens hastighed i perihelium og apohelium?

Det betyder at Perihelium er det tidspunkt planeten er tættest på solen, og det virker derfor som om at det går hurtigere. Apohelium betyder at planeterne er lang væk fra solen, og virker derfor som om at det går langsommere. Lige meget om planeterne er i perihelium eller apohelium, så går det en måned.’

Hvad siger den tredje lov om forholdet mellem omløbstiden og den halve storakse?

T/år a/AE T2 a3 T2/a3
Venus 0,6150 0,7320 0,3782 0,3922 0,9643
Jorden 1,0000 1,0000 1,0000 1,0000 1,0000
Mars 1,8810 1,5240 3,5382 3,5396 0,9996
Jupiter 11,8600 5,2030 140,6596 140,8515 0,9986
Saturn 29,4600 9,5390 867,8916 867,9777 0,9999

Her kan man se at T2 og a3 er næsten den samme. | | Så T2 er proportional med a3. | | | |

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