Analyzing Baseline GBEs for Tier 5 Stuffs

[Flashlight237]

So yeah, I was doing the math using the gravitational binding energy. As it currently stands, the gravitational constant is 6.6743*10^-11 (current as of 2022). I was doing some math going "ayo wtf?" on that and... Well, using the most currently-accurate stats, here's what I got:

Moon: (3*6.6743*10^-11*(7.346*10^22)²)/(5*1737400)=1.2439*10^29 joules=29.73 exatons of TNT
Mercury: (3*6.6743*10^-11*(3.3011*10^23)²)/(5*2439700)=1.7887*10^30 joules=427.51 exatons of TNT
Earth: (3*6.6743*10^-11*(5.97217*10^24)²)/(5*6371000)=2.2419*10^32 joules=53.58 zettatons of TNT (formula used as the "more accurate method" isn't listed/cited anywhere)
Uranus: (3*6.6743*10^-11*(8.68099*10^25)²)/((5-0.4)*25362000)=1.2934*10^34 joules=3.091 yottatons; Uranus' polytropic index is ~0.4 according to this 1983 Harvard document: https://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?bibcode=1983M&P....29..229H&db_key=AST&page_ind=5&plate_select=NO&data_type=GIF&type=SCREEN_GIF&classic=YES

Mass and mean radii for all four celestial bodies are taken from Wikipedia with citations double-checked. In other words, things are a little messier than how its presented in the Attack Potency article. Revisions are unlikely; however, discussion is welcome.

 

[Floxy178]

Earth: (3*6.6743*10^-11*(5.97217*10^24)²)/(5*6371000)=2.2419*10^32 joules=53.58 zettatons of TNT (formula used as the "more accurate method" isn't listed/cited anywhere)

Here

 

[Flashlight237]

Here

Ah. They really should put that in there.

 

[KLOL506]

Pretty sure we don't use that GBE for Uranus anymore. We use this one now.

The Earth part should be rewritten as 2.49E+32 J with reference to the PREM model.

The gravitational constant should also be revised to 6.6743015e-11.

@DontTalkDT

 

[Flashlight237]

Pretty sure we don't use that GBE for Uranus anymore. We use this one now.

The Earth part should be rewritten as 2.49E+32 J with reference to the PREM model.

The gravitational constant should also be revised to 6.6743015e-11.

@DontTalkDT

Eh, that document doesn't use the currently used values for mass, not to mention at the time the revision was made, nobody knew what Uranus's polytropic index was and just stuck the standard assumption of 1.5. I took my time to find a document that actually gave Uranus a polytropic index and the only one I can get gave Uranus a polytropic index of ~0.4; the rest of the documents I found when doing the Google search for Uranus's polytropic index just beat around the bush instead of giving an actual index.

Also, that document was made in 1994; the value I used for Uranus's mass is current as of 2020 (https://ssd.jpl.nasa.gov/planets/phys_par.html ) and the radius used is current as of 2007.

And yes, I agree with you on Earth's part, or at least feel it should get a citation.

 

[Moon_Crasher]

Why is this thread basically completely dead? This feels pretty important.

 

[Flashlight237]

Why is this thread basically completely dead? This feels pretty important.

Right? There really should be a citation towards how the GBE of terrestrial space rocks are calculated (@Floxy178 provided the link in the thread). Though more importantly, with Uranus' polytropic index having been found now, there should be some accounting for that.

 

[Moon_Crasher]

Right? There really should be a citation towards how the GBE of terrestrial space rocks are calculated (@Floxy178 provided the link in the thread). Though more importantly, with Uranus' polytropic index having been found now, there should be some accounting for that.

Why did that thread with all the new vaporization values for different kinds of rock not go anywhere either?

 

[Flashlight237]

Why did that thread with all the new vaporization values for different kinds of rock not go anywhere either?

Beats me. I even used the place they got the vaporization values from in the first place.

 

[KLOL506]

@DontTalkDT