Also the idea that we revolve sideways around the sun is false, a more correct way to think about it is that we're constantly falling downwards. After all, if the sun is pulling us inwards, what would be holding us up?
It's just a matter of perspective, when we drop objects they fall to the floor because gravity pulls them towards it. On a larger scale, the Earth is falling when gravity pulls it towards the Sun. It's just moving at enough velocity that it never actually touches it.
The real part is zero and is tge balance of centripetal force mv^2/r and centrifugal force mcDel.V = mcv/r cos(x):
mv^2/r - mcv/r cos(x) =0 so mv^2/r = mcv/r cos(x) gives v/c= cos(x) =z the redshift and equilibrium.
The vector part is also zero and gives the orbit: Fv= (dcV/dr + u/r^3 R + cDelxV )
Enough weight could alter our orbit but it would have to come from outside it, and would simply change our course a tiny amount, what we gain moving toward the sun would then propel us slightly further away on the other side, distance traveled would ultimately remain the same. It wouldn't work for people jumping though, if you've ever heard of the chickens in the truck it's the same principle. Our weight is already accounted for when we're within Earths gravitational field, if we were to jump, the mass of the Earth stays the same, the force of our jump and our landing ultimately cancel each other out. It would cause a pretty big earthquake though. It could possibly alter our axis.
Due to Newton's 3rd Law, which states that there is an equal and opposite reaction, the Earth would first plummet down, but then move straight back up, to it's original position. It would happen so fast, that no one would know what happened
The collision required to knock the earth out of orbit would be much too massive for the earth to survive. The earth would simply be destroyed by the massive collision and the remains of the earth would either fly off into space of collide with other objects. If this is purely a hypothetical.. If the earth did, somehow, (even though it is impossible) get knocked out of orbit, it would die. Without a constant source of energy like the Sun (which indirectly provides all energy on earth), the earth would eventually run out of resources and die.