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The Kerbol system orbital period


mcirish3

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UpDate: some recalculations finished. It would seem the wiki's orbital periods are a bit off.?! Looking for someone to confirm.

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[TD][TABLE=width: 160]

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[TD=width: 160]KSP universe period[/TD]

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[TD][TABLE=width: 160, align: right]

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[TD=width: 160, align: right]4.9605288608E+28[/TD]

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[TD][TABLE=width: 108]

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[TD=width: 108]seconds[/TD]

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[TD][TABLE=width: 160]

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[TD=width: 160, align: right]8.2675481014E+26[/TD]

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[/TABLE]

[/TD]

[TD][TABLE=width: 108]

[TR=class: outer_border]

[TD=width: 108]minuts[/TD]

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[/TABLE]

[/TD]

[/TR]

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[TD][TABLE=width: 160]

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[TD=width: 160, align: right]1.3779246836E+25[/TD]

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[/TD]

[TD][TABLE=width: 108]

[TR=class: outer_border]

[TD=width: 108]hours[/TD]

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[TD][TABLE=width: 160]

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[TD=width: 160, align: right]5.7413528482E+23[/TD]

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[/TD]

[TD][TABLE=width: 108]

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[TD=width: 108]days[/TD]

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[TD][TABLE=width: 160]

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[TD=width: 160, align: right]1.5729733831E+21[/TD]

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[/TD]

[TD][TABLE=width: 108]

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[TD=width: 108]years[/TD]

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[TABLE=class: outer_border, width: 500, align: center]

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[TD][/TD]

[TD][TABLE=width: 160]

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[TD=class: xl66, width: 160]Orbital Period (s)[/TD]

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[TD][TABLE=width: 108]

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[TD=class: xl65, width: 108]SemiMajor axis (m)[/TD]

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[/TD]

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[TD][TABLE=width: 64]

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[TD=class: xl65, width: 64]Moho[/TD]

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[/TABLE]

[/TD]

[TD][TABLE=width: 160]

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[TD=class: xl66, width: 160]2215780.7601817600[/TD]

[/TR]

[/TABLE]

[/TD]

[TD][TABLE=width: 108]

[TR]

[TD=class: xl65, width: 108]5263138304[/TD]

[/TR]

[/TABLE]

[/TD]

[/TR]

[TR]

[TD][TABLE=width: 64]

[TR]

[TD=class: xl65, width: 64]Eve[/TD]

[/TR]

[/TABLE]

[/TD]

[TD][TABLE=width: 160]

[TR]

[TD=class: xl66, width: 160]5658062.9184427500[/TD]

[/TR]

[/TABLE]

[/TD]

[TD][TABLE=width: 108]

[TR]

[TD=class: xl65, width: 108]9832684544[/TD]

[/TR]

[/TABLE]

[/TD]

[/TR]

[TR]

[TD][TABLE=width: 64]

[TR]

[TD=class: xl65, width: 64]Gilly[/TD]

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[/TABLE]

[/TD]

[TD][TABLE=width: 160]

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[TD=class: xl66, width: 160]388592.0317515200[/TD]

[/TR]

[/TABLE]

[/TD]

[TD][TABLE=width: 108]

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[TD=class: xl65, width: 108]31500000[/TD]

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[/TABLE]

[/TD]

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[TD][TABLE=width: 64]

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[TD=class: xl65, width: 64]Kerbin[/TD]

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[/TD]

[TD][TABLE=width: 160]

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[TD=class: xl66, width: 160][TABLE=width: 160]

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[TD=class: xl64, width: 160]9203654.8583621600

[/TD]

[/TR]

[/TABLE]

[/TD]

[/TR]

[/TABLE]

[/TD]

[TD][TABLE=width: 108]

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[TD=class: xl65, width: 108]

13599840256

[/TD]

[/TR]

[/TABLE]

[/TD]

[/TR]

[TR]

[TD][TABLE=width: 64]

[TR]

[TD=class: xl65, width: 64]Mun[/TD]

[/TR]

[/TABLE]

[/TD]

[TD][TABLE=width: 160]

[TR]

[TD=class: xl66, width: 160]138986.0420959770[/TD]

[/TR]

[/TABLE]

[/TD]

[TD][TABLE=width: 108]

[TR]

[TD=class: xl65, width: 108]12000000[/TD]

[/TR]

[/TABLE]

[/TD]

[/TR]

[TR]

[TD][TABLE=width: 64]

[TR]

[TD=class: xl65, width: 64]Minmus[/TD]

[/TR]

[/TABLE]

[/TD]

[TD][TABLE=width: 160]

[TR]

[TD=class: xl66, width: 160]1077323.4309866800[/TD]

[/TR]

[/TABLE]

[/TD]

[TD][TABLE=width: 108]

[TR]

[TD=class: xl65, width: 108]47000000[/TD]

[/TR]

[/TABLE]

[/TD]

[/TR]

[TR]

[TD][TABLE=width: 64]

[TR]

[TD=class: xl65, width: 64]Duna[/TD]

[/TR]

[/TABLE]

[/TD]

[TD][TABLE=width: 160]

[TR]

[TD=class: xl66, width: 160]17315607.5479440000[/TD]

[/TR]

[/TABLE]

[/TD]

[TD][TABLE=width: 108]

[TR]

[TD=class: xl65, width: 108]20726155264[/TD]

[/TR]

[/TABLE]

[/TD]

[/TR]

[TR]

[TD][TABLE=width: 64]

[TR]

[TD=class: xl65, width: 64]Ike[/TD]

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[/TABLE]

[/TD]

[TD][TABLE=width: 160]

[TR]

[TD=class: xl66, width: 160]65518.6471392642[/TD]

[/TR]

[/TABLE]

[/TD]

[TD][TABLE=width: 108]

[TR]

[TD=class: xl65, width: 108]3200000[/TD]

[/TR]

[/TABLE]

[/TD]

[/TR]

[TR]

[TD][TABLE=width: 64]

[TR]

[TD=class: xl65, width: 64]Dres[/TD]

[/TR]

[/TABLE]

[/TD]

[TD][TABLE=width: 160]

[TR]

[TD=class: xl66, width: 160]47893636.8058837000[/TD]

[/TR]

[/TABLE]

[/TD]

[TD][TABLE=width: 108]

[TR]

[TD=class: xl65, width: 108]40839348203[/TD]

[/TR]

[/TABLE]

[/TD]

[/TR]

[TR]

[TD][TABLE=width: 64]

[TR]

[TD=class: xl65, width: 64]Jool[/TD]

[/TR]

[/TABLE]

[/TD]

[TD][TABLE=width: 160]

[TR]

[TD=class: xl66, width: 160]104662685.7517580000[/TD]

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[/TABLE]

[/TD]

[TD][TABLE=width: 108]

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[TD=class: xl65, width: 108]68773560320[/TD]

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[/TABLE]

[/TD]

[/TR]

[TR]

[TD][TABLE=width: 64]

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[TD=class: xl65, width: 64]Laythe[/TD]

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[/TABLE]

[/TD]

[TD][TABLE=width: 160]

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[TD=class: xl66, width: 160]52981.5139758690[/TD]

[/TR]

[/TABLE]

[/TD]

[TD][TABLE=width: 108]

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[TD=class: xl65, width: 108]27184000[/TD]

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[/TABLE]

[/TD]

[/TR]

[TR]

[TD][TABLE=width: 64]

[TR]

[TD=class: xl65, width: 64]Vall[/TD]

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[/TABLE]

[/TD]

[TD][TABLE=width: 160]

[TR]

[TD=class: xl66, width: 160]105963.3587308660[/TD]

[/TR]

[/TABLE]

[/TD]

[TD][TABLE=width: 108]

[TR]

[TD=class: xl65, width: 108]43152000[/TD]

[/TR]

[/TABLE]

[/TD]

[/TR]

[TR]

[TD][TABLE=width: 64]

[TR]

[TD=class: xl65, width: 64]Tylo[/TD]

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[/TABLE]

[/TD]

[TD][TABLE=width: 160]

[TR]

[TD=class: xl66, width: 160]211928.8977212430[/TD]

[/TR]

[/TABLE]

[/TD]

[TD][TABLE=width: 108]

[TR]

[TD=class: xl65, width: 108]68500000[/TD]

[/TR]

[/TABLE]

[/TD]

[/TR]

[TR]

[TD][TABLE=width: 64]

[TR]

[TD=class: xl65, width: 64]Bop[/TD]

[/TR]

[/TABLE]

[/TD]

[TD][TABLE=width: 160]

[TR]

[TD=class: xl66, width: 160]544513.9538282590[/TD]

[/TR]

[/TABLE]

[/TD]

[TD][TABLE=width: 108]

[TR]

[TD=class: xl65, width: 108]128500000[/TD]

[/TR]

[/TABLE]

[/TD]

[/TR]

[TR]

[TD][TABLE=width: 64]

[TR]

[TD=class: xl65, width: 64]Pol[/TD]

[/TR]

[/TABLE]

[/TD]

[TD][TABLE=width: 160]

[TR]

[TD=class: xl66, width: 160]901913.4318238570[/TD]

[/TR]

[/TABLE]

[/TD]

[TD][TABLE=width: 108]

[TR]

[TD=class: xl65, width: 108]179890000[/TD]

[/TR]

[/TABLE]

[/TD]

[/TR]

[TR]

[TD][TABLE=width: 64]

[TR]

[TD=class: xl65, width: 64]Eeloo[/TD]

[/TR]

[/TABLE]

[/TD]

[TD][TABLE=width: 160]

[TR]

[TD=class: xl66, width: 160]156993928.8618170000[/TD]

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[/TABLE]

[/TD]

[TD][TABLE=width: 108]

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[TD=class: xl65, width: 108]90118820000[/TD]

[/TR]

[/TABLE]

[/TD]

[/TR]

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Edited by mcirish3
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Yes though I just figured out all my data above is wrong busily reworking. I was off (as far as I can tell, still working out questionable details) by a factor of 10^55 very bad. New best calculation is a period of 1.6*10^21 years. will fully update once the kinks are worked out.

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I think your number for Kerbin is the altitude above the sun's surface, not the SMA. The data I use says Kerbin's SMA is 13,599,840,256 meters.

And what value of mu are you using for the sun? Your orbital periods look a little off. Best number I have is 1.17233279483249e18 m^3/s^2. Likewise for the planets with moons, periods look a tiny bit off.

I'm getting these numbers from https://docs.google.com/spreadsheet/ccc?key=0AuySrGPsDeq2dFdaS19xc2lobGc2aWNXUkJsZlVtWFE#gid=0

Edited by tavert
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I think your number for Kerbin is the altitude above the sun's surface, not the SMA. The data I use says Kerbin's SMA is 13,599,840,256 meters.

And what value of mu are you using for the sun? Your orbital periods look a little off. Best number I have is 1.17233279483249e18 m^3/s^2. Likewise for the planets with moons, periods look a tiny bit off.

I'm getting these numbers from https://docs.google.com/spreadsheet/ccc?key=0AuySrGPsDeq2dFdaS19xc2lobGc2aWNXUkJsZlVtWFE#gid=0

Where is that sheet from? I used the mass of Kerbol listed on the wiki and the value of big G listed on google. I did not use the (80) since it is uncertain.

And yes, my Kerbin value was wrong.

Edited by mcirish3
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The physical constant G has a pretty high uncertainty, and I don't think the mass on the wiki is given to very many digits of precision. The gravitational parameter mu is more useful. Check the source links below the spreadsheet, there's a link to an old forum thread where someone pulled the data to full precision directly from the game.

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