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First time posting so if I'm doing anything wrong here please feel free to tell me. All relevant images are in the google drive linked here (I don't know why it's not letting me link it), copying from my recent reddit post with the calc so hopefully formatting doesn't break. Bolded numbers in parenthesis refer to the image source. Clarifications on sources below.
In Halo Infinite Cortana uses a group of 8 guardians to destroy the planet of Doisac (2-3). Each Guardian is equipped with, among other more utility focused armaments, 6 Converging Beam Cannons (CBCs) which they used to perform the feat (4), giving us a total of 48 CBCs for the destruction of the planet. The Mantle's Approach is equipped with 25,000 CBCs (5), I think you know where this is going.
The original numbers I used for this calc relied on the listed size of the planet in the Halo Encyclopedia with a diameter of 24,930km (6) and the listed gravity of the planet in the Halo 3 Beastiarum (7) at 2.1g (or 2.1 times earth's gravity). Inputting these values into a Gravitational Force Calculator, using 1kg as our first mass, 20.601 Newtons (2.1 times the force of gravity) as our force, and 12,465km as our distance between the centers of both objects (half the radius of Doisac), you get approximately 4.8e25kg or 8.03 times the mass of earth.
Using the Gravitational Binding Energy formula listed by Vs Battle Wiki
GBE = (3 * Gravitational Constant * Mass Squared) / 5 * Radius
We can plug in our Mass and Radius to get the equation
GBE = (3 * 6.67408e-11 * 2.30003417e51) / 5 * 12,465,000
Which gives us a grand total of approximately 7.4e33 Joules of energy to destroy Doisac (Aka, 5-B or Planet Level (Wow, no shit)). Now, we know that the Mantle's Approach has 25,000 CBCs as opposed to the 48 used in this feat, so we can take that 25,000 and divide it by the 48 involved to get how many more are stationed aboard the Mantle's Approach (520.8 times as many). Multiply that by our energy output of those 48 and you get 3.8e36 Joules of energy (Aka, 5-A or the higher side of Large Planet level)
Two potential calcs which could spring from this are calculating the amount of Antimatter needed to perform these feats since the CBC's are explicitly antimatter weapons (8) and a potential recalc of Doisac's mass using it's three moons (two of which have their own atmosphere and all of which are spherical (9)) similar to Death Battle's calc of Planet Viltrum
Screenshots of official material was prioritized but in some cases where it couldn't be acquired (like the Halo 3 Beastiarum) screenshots of the relevant Halopedia article were used.
Image 1: Unimportant to the calc, just taken from Halopedia for the post
Image 2-3: [Halo Infinite cutscene]()
Image 4: [Page 88 of Halo Warfleet]()
Image 5: Page 86 of Halo Warfleet
Image 6: [Page 211 of Halo Encyclopedia 2022]()
Image 7: [Halopedia Beastiarum, Doisac](https://www.halopedia.org/Bestiarum)
Image 8: Page 80 of Halo Warfleet
Image 9: Same Halo infinite cutscene as 2-3
In Halo Infinite Cortana uses a group of 8 guardians to destroy the planet of Doisac (2-3). Each Guardian is equipped with, among other more utility focused armaments, 6 Converging Beam Cannons (CBCs) which they used to perform the feat (4), giving us a total of 48 CBCs for the destruction of the planet. The Mantle's Approach is equipped with 25,000 CBCs (5), I think you know where this is going.
The original numbers I used for this calc relied on the listed size of the planet in the Halo Encyclopedia with a diameter of 24,930km (6) and the listed gravity of the planet in the Halo 3 Beastiarum (7) at 2.1g (or 2.1 times earth's gravity). Inputting these values into a Gravitational Force Calculator, using 1kg as our first mass, 20.601 Newtons (2.1 times the force of gravity) as our force, and 12,465km as our distance between the centers of both objects (half the radius of Doisac), you get approximately 4.8e25kg or 8.03 times the mass of earth.
Using the Gravitational Binding Energy formula listed by Vs Battle Wiki
GBE = (3 * Gravitational Constant * Mass Squared) / 5 * Radius
We can plug in our Mass and Radius to get the equation
GBE = (3 * 6.67408e-11 * 2.30003417e51) / 5 * 12,465,000
Which gives us a grand total of approximately 7.4e33 Joules of energy to destroy Doisac (Aka, 5-B or Planet Level (Wow, no shit)). Now, we know that the Mantle's Approach has 25,000 CBCs as opposed to the 48 used in this feat, so we can take that 25,000 and divide it by the 48 involved to get how many more are stationed aboard the Mantle's Approach (520.8 times as many). Multiply that by our energy output of those 48 and you get 3.8e36 Joules of energy (Aka, 5-A or the higher side of Large Planet level)
Two potential calcs which could spring from this are calculating the amount of Antimatter needed to perform these feats since the CBC's are explicitly antimatter weapons (8) and a potential recalc of Doisac's mass using it's three moons (two of which have their own atmosphere and all of which are spherical (9)) similar to Death Battle's calc of Planet Viltrum
Screenshots of official material was prioritized but in some cases where it couldn't be acquired (like the Halo 3 Beastiarum) screenshots of the relevant Halopedia article were used.
Image 1: Unimportant to the calc, just taken from Halopedia for the post
Image 2-3: [Halo Infinite cutscene]()
Image 4: [Page 88 of Halo Warfleet]()
Image 5: Page 86 of Halo Warfleet
Image 6: [Page 211 of Halo Encyclopedia 2022]()
Image 7: [Halopedia Beastiarum, Doisac](https://www.halopedia.org/Bestiarum)
Image 8: Page 80 of Halo Warfleet
Image 9: Same Halo infinite cutscene as 2-3