By "orbital velocity", I assume you mean orbital velocity relative to the sun. The need for this clarification should be the first indication that we do not alr

By "orbital velocity", I assume you mean orbital velocity relative to the sun. The need for this clarification should be the first indication that we do not already have the necessary orbital velocity (as there is no particular reason to use the sun as the reference other than the fact that it is the more massive body). This diagram [0] shows the Earth-Sun Lagrange points. As you can see, they all have a slightly different orbital radius around the sun, and therefore will have different orbital velocities (larger radius=slow velocity). Additionally, (most) of these points have a different direction, which would means a different velocity. (However, we can change direction for free simply by orbiting, and as long as our orbit is different from Earth's we will change our direction relative to Earth as well). The bigger issue is 'escaping' Earth's gravity well[1]. The most efficient way to do this is through an orbit. To see this, consider the effect of gravitational drag. That is to say, the speed lost due to the force of gravity. If you are in orbit, the net gravitational drag is 0 [2]. Suppose you are at point P of an orbit, travelling at speed V. If you accelerate with X delta-V at this point in the orbit, your new orbit will still contain point P, and you will pass through P with velocity (V+X), indicating that there was 0 gravitational drag. Intuitively, this is because you are accelerating perpendicular to the force of gravity. Another way to look at this is to remember that there is no particular reason to prefer using the Sun as a reference point, in which case we can see that Lagrange points are also in Earth orbit. However, your idea does point to a (theoretical) way to reduce fuel usage. When calculating the fuel needed to establish an orbit, we assume that Earth is the only massive body. However, we can (in theory) use the gravitational force of the sun to reduce the needed fuel to reach Earth orbit (in a way that has nothing to do with Lagrange points). However, the effect is not significant enough to be worth talking about. [0] http://upload.wikimedia.org/wikipedia/commons/e/ee/Lagrange_points2.svg http://upload.wikimedia.org/wikipedia/commons/e/ee/Lagrange_... [1] Of course, by definition of Lagrange points, we are not actually escaping [2] Unless the orbit is circular, gravity will change your speed, but the acceleration/deceleration will balance out.