Yggdrasil's propulsion power forcibly increased the Earth's orbital speed. The gauge constantly gets higher, but the highest speed we get is 3122m/s. This will be more or less straightforward. The Earth weighs The Earth has a mass of
5.9736e24kg.
KE = (0.5)mv^2
= (0.5) X 5.9736e24 X 3122^2
= 2.91119931e31 joules
= 6.9579333413001904773 zettatons
Final Results
Yggdrasil's core increases the Earth's orbital speed = 6.958 zettaons