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Rating: 4 votes, 5.00 average.

Namek's Planetary Parameters

Posted 02-26-2012 at 10:28 PM by Nevermind
Updated 02-26-2012 at 11:07 PM by Nevermind
Alright so...today I'm gonna be trying to answer an age-old question at the OBD:

How powerful are Frieza's planet busters?

You all know the tons of repetitive debates regarding Frieza being able to DET versus chain reaction bust, so I won't repeat them. The crucial question of importance here is to find out how large Namek was, and thus how hard it would be to destroy. So with that in mind, let's take a look at some scans that will give us a relative clue.

First let's establish some things:

http://www.mangareader.net/105-2898-...apter-249.html

Vegeta's power here was established to be 24,000 in the present arc and 18,000 back in the Saiyan Saga. We all know what that means.

Continuing below, Krillin and Dende take off at "top speed:"

http://www.mangareader.net/105-2909-...apter-260.html

We then get this:

http://www.mangareader.net/105-2910-...apter-261.html
http://www.mangareader.net/105-2910-...apter-261.html

Although this isn't exactly the best to use for a size estimate (since Krillin obviously wasn't flying at top speed), it's somewhat telling.

Chapter 270 gives us another clue as to how big Namek is.

Gohan and Krillin had been flying very suppressed and slow to avoid Vegeta, yet flying at top speed would still take them an hour after a four day journey. Note that they changed location from their first hideout, which is where we will turn soon.

Later on in chapter 292, Gohan stated the distance to Guru's.

http://i11.mangareader.net/dragon-ba...ball-69381.jpg

These are all rather strong hints regarding Namek's size.

Yet, the real clue lies here:

http://www.mangareader.net/105-2914-...apter-265.html

This is in chapter 265 after Guru unlocks some of Krillin's potential.

This is the furthest distance known in the arc. Thus it should be used as the best indicator. Krillin was stated to have a power level of around 10,000:

http://www.mangareader.net/105-2923-...apter-274.html

This of course, is lower than Saiyan Saga Vegeta's level of 18,000, but higher than base Goku's 8,000 after training with King Kai.
Goku of course, is around Mach 29 on Snake Way. Krillin after his power up on Namek would be at least that much.

Now let's crunch some numbers.

Mach 29 is 9,952.8 m/s or 9.9528 km/s.

As there are 3,600 seconds in an hour, this means that Krillin was flying at a speed of 35,830.08 kilometers per hour.

35,830.08 x 2 = 71,660.16.

Assuming that Gohan and Bulma's hideout was on the opposite side of the planet (which is actually quite a conservative assumption), it would mean that Krillin crossed half the planetary circumference.

Thus Namek's circumference would be 143,320.32 kilometers.

Using this circle and sphere calculator, inputting this circumference nets a diameter of 45620.274747024465 kilometers.

Now I'll once again turn back to an old friend of mine, the Planetary Parameter Calculator (seriously I've used this thing in so many calcs it's like family ).

Let's get the easy part out of the way first. Under any gravity the planetary volume is 4.971E+22 or 49710000000000000000000 or forty-nine sextillion, seven hundred ten quintillion m^3. This is 45.7 times larger than Earth's volume of 1,087,000,000,000,000,000,000 or one sextillion, eighty-seven quintillion m^3.

Now for the GBE.

Two things to consider here, which will give a high and low end. The low end would be assuming that Namek was only 1G due to the fact that Bulma was able to stand and walk freely on the planet. The high end would assume an equivalent density to Earth (which it is somewhat interesting to note that Namek had no real large-scale rock formations to speak of, something one would expect of planets with higher gravity than Earth).

Anyway, the low end is 1.026E+34 joules as a minimum GBE. Earth's GBE is 2.4e32 joules.

1.026E+34/2.4e32 = 42.75.

To get the higher end, we'll assume a similar density to Earth. Earth's density is about 5,501 kg/m^3.

To get a similar density, we'll divide Namek's diameter by Earth's and increase the gravity accordingly.

45620.274747024465/12,756.2 = 3.5.

Increasing the gravity by 3.5 times and you get a density of 5,383 kg/m^3, which is slightly less than Earth.

The GBE for this is 1.257E+35 joules.

1.257E+35/2.4e32 = 523.75.

Recap:

Diameter: 45620.274747024465 (3.5 times larger than Earth's)
Circumference: 143,320.32 (3.5 times larger than Earth's)
Low end (1G) planetary GBE: 42.75 times greater than Earth's.
High end (similar density) planetary GBE: 523.75 times greater than Earth's.

Either way, Namek is significantly harder to destroy than Earth.

What does this say about Frieza busting Namek? Nothing really. But it does seem rather plausible that he can bust Earth-sized or smaller planets via DET.

You guys seriously owe me. I managed to go out with a friend, see Act of Valor,, (which was pretty good BTW), get a drink, and still come back and do this all in one day.
Posted in Calculations
Comments 67 Email Blog Entry
Total Comments 67

Comments

Old
Interesting.

Shitstorm will commence in...

Whenever EM notices this I guess.
Posted 02-26-2012 at 11:10 PM by ChaosTheory123 ChaosTheory123 is offline
Old
gonna get my popcorn ready for this
Posted 02-26-2012 at 11:11 PM by Crimson Dragoon Crimson Dragoon is offline
Old
Same.

Fuck actually debating this time.

That was just annoying.

Let Nevermind do all the work.
Posted 02-26-2012 at 11:13 PM by ChaosTheory123 ChaosTheory123 is offline
Old
Did all my work already and went into as much detail as possible I might add.

It'd be extremely annoying.
Posted 02-26-2012 at 11:15 PM by Nevermind Nevermind is offline
Old
May have done your work.

Now you'll need to defend it.

Enjoy buddy
Posted 02-26-2012 at 11:17 PM by ChaosTheory123 ChaosTheory123 is offline
Old
last time you guys got one serious comment out of me in these calc shitstorms

now you'll all get none
Posted 02-26-2012 at 11:18 PM by Crimson Dragoon Crimson Dragoon is offline
Old
Should have had more drinks.

Dammit.
Posted 02-26-2012 at 11:20 PM by Nevermind Nevermind is offline
Old
@CD - I wouldn't expect anything different

Seriously don't feel like being one of the few people throwing walls of text around this time though.

@Nevermind - You really should have.
Posted 02-26-2012 at 11:21 PM by ChaosTheory123 ChaosTheory123 is offline
Old
523.75 times greater than Earth's IS the final number
Posted 02-27-2012 at 01:22 AM by God Movement God Movement is offline
Old
Prep up the "Freeza IS the planet buster" avatar GM

We'll need it as ammunition

On a serious note Never, excellent work.
Posted 02-27-2012 at 08:01 AM by KaiserWombat KaiserWombat is online now
Old
I don't know about that.

EM was actually online while this blog has been up.

Maybe he doesn't have any issues?

Or Nevermind's blog comments are acting weird again and an entire wall of text was censored by accident.
Posted 02-27-2012 at 11:32 AM by ChaosTheory123 ChaosTheory123 is offline
Old
They aren't.
Posted 02-27-2012 at 11:55 AM by Nevermind Nevermind is offline
Old
All I can say is:

In before Endless Mike.
Posted 02-27-2012 at 12:08 PM by Basilikos Basilikos is offline
Old
How big would this make Namek's core?
Posted 02-27-2012 at 03:45 PM by Toriko Toriko is offline
Old
How large is Earth's?

You could probably try finding a ratio with that.

But remember Chain Reaction

Seriously, lets keep the shit storms out of here
Posted 02-27-2012 at 03:50 PM by ChaosTheory123 ChaosTheory123 is offline
Old
3000ish km iirc.

70% of the diameter of the moon.
Posted 02-27-2012 at 03:52 PM by Toriko Toriko is offline
Old
Have at it then

Wonder what sort of density it'd have though?
Posted 02-27-2012 at 03:55 PM by ChaosTheory123 ChaosTheory123 is offline
Old
Hasn't this been done before? It doesn't do anything for DC because it was a chain reaction.
Posted 02-27-2012 at 08:12 PM by Endless Mike Endless Mike is offline
Old
To my knowledge it hasn't.

And I said as much, EM.

I'd be interested if Brohan were able to get a core from this though.
Posted 02-27-2012 at 08:16 PM by Nevermind Nevermind is offline
Old
It seems a very sketchy way of calcing anyway since it relies on using a speed you don't know, assuming his speed will remain constant the whole time (he won't get tired or anything, in that last scan he says he's not even using his full speed anymore, he's going slower so Dende can keep up), he's not taking any shortcuts to avoid Frieza or his soldiers, etc.

If you really want to try it you can use Dende's statement of a 30 day walk. Of course that's subject to terrain and obstacles, but you can try. Average human walking speed is 5.6 km/h, assuming for Dende it is 10 times that, then you get a distance of 40,320 km - assuming that:

- His walking pace is that high
- He can keep up that speed for the whole time
- He doesn't need to stop to sleep or rest
- There's a straight path and no obstacles to go around

Which are obviously very unrealistic assumptions.
Posted 02-27-2012 at 10:33 PM by Endless Mike Endless Mike is offline
 
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