If it has velocity to escape earth's gravity then it does not match earth and will eventually go somewhere else.
If it does not it will fall back.
Only at a Lagrange point will it not deviate from earth.
Given that it is not heading to earth we simply point it at an appropriate trajectory to intercept the moon and/or another planet using that planet to perform aforementioned "banked curve" which directs it to the sun at increased or decreased velocity.
The primary cost of shipping stuff to the sun is escaping earth, once you do that the additional fuel required to reach the sun is nowhere near the amount of fuel required to slow from 30 km/sec to zero.
Basically all we need to do is reach the moon... from there gravity does the work for us with the correct trajectory and a small amount of fuel to correct the trajectory.
If it has velocity to escape earth's gravity then it does not match earth and will eventually go somewhere else.
If it does not it will fall back.
Only at a Lagrange point will it not deviate from earth.
Given that it is not heading to earth we simply point it at an appropriate trajectory to intercept the moon and/or another planet using that planet to perform aforementioned "banked curve" which directs it to the sun at increased or decreased velocity.
The primary cost of shipping stuff to the sun is escaping earth, once you do that the additional fuel required to reach the sun is nowhere near the amount of fuel required to slow from 30 km/sec to zero.
Basically all we need to do is reach the moon... from there gravity does the work for us with the correct trajectory and a small amount of fuel to correct the trajectory.