Here is a PowerShell script to calculate the health of Frost's Snow Globe.
Enter your armor and ability strength affecting mods in the variables at the top. For example, to add Transient Fortitude, I would change the third variable to:
$frostAbilityStrength = 0 + 0.99 + 0.30 + 0.24 + 0.55
If you're using Windows, you can copy and paste this script into Windows PowerShell ISE. Then press the green 'play' button (Run Script (F5)) to get the results in the inline shell.
The comments in the middle let me keep track of what mods I am using.
It looks like ability strength mods have more effect on health than armor mods. In the setup below, I'm using Augur Secrets instead of Gladiator Aegis. The added ability strength also helps Freeze Force.
Also, I've chosen mods that are always available opposed to mods like Energy Conversion. The second build in my notes gives a high amount of health without regard to any drawbacks.
# mods
$frostArmorMod = 0 + 1.10 + 0.45 + 0.255 # eg Steel Fiber
$frostAdditionalArmor = 0 # + 450 * 3 # eg Health Conversion (Yes, Health Conversion affects Snow Globe.)
$frostAbilityStrength = 0 + 0.99 + 0.30 + 0.24 # eg Blind Rage
$title = "Augur Secrets"
<# Notes
x 1 Streamline
x 2 Primed Continuity
x 3 Blind Rage
x 4 Intensify
x 5 Steel Fiber
x 6 Armored Agility
x 7 Freeze Force
8 Augur Secrets
x E Ice Spring
x A Stand United
x 1 Energy Conversion
x 2 Blind Rage
x 3 Transient Fortitude
x 4 Umbral Intensify
x 5 Augur Secrets
x 6 Health Conversion
x 7 Steel Fiber
x 8 Armored Agility
x E Power Drift
x A Growing Power
#>
# boilerplate
$snowGlobeBaseHealth = 5000
$snowGlobeArmorMultiplier = 5
$frostBaseArmor = 300
$snowGlobeAbsorbedDamage = 0
# calculation
# https://warframe.fandom.com/wiki/Snow_Globe
$snowGlobeModifiedHealth = ($snowGlobeBaseHealth + $snowGlobeArmorMultiplier * ($frostBaseArmor * $frostArmorMod + $frostAdditionalArmor)) * (1 + $frostAbilityStrength) + $snowGlobeAbsorbedDamage
# output
@"
$title
Modified Health: $snowGlobeModifiedHealth
"@