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Problem
Currently, we are allowed to calculate the KE for celestial body feats, but when it surpasses light speed we use the gravitational binding energy of the celestial body instead. The problem is, when you move a planet close to light speed, it actually gets a higher AP than moving a planet faster than light. Which makes zero sense.
For example, the GBE of the Moon is 1.24e29 Joules. However, Christopher Reeve's Superman moving the Moon at massively hypersonic speeds was calculated to be 1.23e34 Joules, way higher than the value you get when you move the Moon at FTL speeds.
Solutions
There are 2 possible solutions I propose, as well as 1 non-solution.
Solution 1: Gravitational Binding Energy
The first solution is to simply cap the upper end of planet moving feats by their gravitational binding energy. Which means that when higher than a certain speed, we are not allowed to calculate KE but use their GBE.
Let me try to calculate the "speed limit" of various different celestial bodies.
Moon: sqrt(1.24e29/0.5/7.342e22) = 1837.89 m/s or Mach 5.40
Earth: sqrt(2.487e32/0.5/5.97237e24) = 9125.98 m/s or Mach 26.82
Sun: sqrt(5.693e41/0.5/1.98847e30) = 756 704.08 m/s or Mach 2223.70
Solar System: sqrt(2.277e45/0.5/1.9912539e30) = 47 822 601.04 m/s or 15.95% SoL
Milky Way: sqrt(1.053e66/0.5/3.0622438e42) = 829 295 485 938.83 which is far beyond the speed of light, so the speed limit should just be the speed of light
Solution 2: Maximum Kinetic Energy
My second solution is to use the maximum kinetic energy possible for celestial body moving feats above the speed of light, which is to calculate the KE for roughly equal to the speed of light (99.9999999...).
So the "KE limits" would be:
Multiply by four, since relativistic KE is accepted only maximum to be 4 times the newtonian KE according to our Kinetic Energy Feats page.
Moon: 0.5*7.342e22*299792458^2*4 = 1.319732104457143e40 Joules, or 3.15 tenatons, Dwarf Star level
Earth: 0.5*5.97237e24*299792458^2*4 = 1.0735396933664815e42 Joules, or 256.58 tenatons, Star level
Sun: 0.5*1.98847e30*299792458^2*4 = 3.5742954205255995e47 Joules, or 3.57 kiloFoe, Solar System level
Solar System: 0.5*1.9912539e30*299792458^2*4 = 3.5792995096097704e47 Joules, or 3.58 kiloFoe, Solar System level
Milky Way: 0.5*3.0622438e42*299792458^2*4 = 5.5044149476094233e59 Joules, 5.50 petaFoe, Multi-Solar System level
I'm fine either way.
Solution 3: Disregard FTL Celestial Body Feats
The last solution is to just disregard FTL feats like any other KE feat.
Currently, we are allowed to calculate the KE for celestial body feats, but when it surpasses light speed we use the gravitational binding energy of the celestial body instead. The problem is, when you move a planet close to light speed, it actually gets a higher AP than moving a planet faster than light. Which makes zero sense.
For example, the GBE of the Moon is 1.24e29 Joules. However, Christopher Reeve's Superman moving the Moon at massively hypersonic speeds was calculated to be 1.23e34 Joules, way higher than the value you get when you move the Moon at FTL speeds.
Solutions
There are 2 possible solutions I propose, as well as 1 non-solution.
Solution 1: Gravitational Binding Energy
The first solution is to simply cap the upper end of planet moving feats by their gravitational binding energy. Which means that when higher than a certain speed, we are not allowed to calculate KE but use their GBE.
Let me try to calculate the "speed limit" of various different celestial bodies.
Moon: sqrt(1.24e29/0.5/7.342e22) = 1837.89 m/s or Mach 5.40
Earth: sqrt(2.487e32/0.5/5.97237e24) = 9125.98 m/s or Mach 26.82
Sun: sqrt(5.693e41/0.5/1.98847e30) = 756 704.08 m/s or Mach 2223.70
Solar System: sqrt(2.277e45/0.5/1.9912539e30) = 47 822 601.04 m/s or 15.95% SoL
Milky Way: sqrt(1.053e66/0.5/3.0622438e42) = 829 295 485 938.83 which is far beyond the speed of light, so the speed limit should just be the speed of light
Solution 2: Maximum Kinetic Energy
My second solution is to use the maximum kinetic energy possible for celestial body moving feats above the speed of light, which is to calculate the KE for roughly equal to the speed of light (99.9999999...).
So the "KE limits" would be:
Multiply by four, since relativistic KE is accepted only maximum to be 4 times the newtonian KE according to our Kinetic Energy Feats page.
Moon: 0.5*7.342e22*299792458^2*4 = 1.319732104457143e40 Joules, or 3.15 tenatons, Dwarf Star level
Earth: 0.5*5.97237e24*299792458^2*4 = 1.0735396933664815e42 Joules, or 256.58 tenatons, Star level
Sun: 0.5*1.98847e30*299792458^2*4 = 3.5742954205255995e47 Joules, or 3.57 kiloFoe, Solar System level
Solar System: 0.5*1.9912539e30*299792458^2*4 = 3.5792995096097704e47 Joules, or 3.58 kiloFoe, Solar System level
Milky Way: 0.5*3.0622438e42*299792458^2*4 = 5.5044149476094233e59 Joules, 5.50 petaFoe, Multi-Solar System level
I'm fine either way.
Solution 3: Disregard FTL Celestial Body Feats
The last solution is to just disregard FTL feats like any other KE feat.