I was looking at the NASA webpage about the Voyagers and other probes. Although one of the recent ones used gravity-assist to accelerate it, I believe, the earlier probes seem to be on paths that minimize the effect of gravity on their trajectories.
Do these probes travel in a straight line away from the sun and Earth when they don't come close to the gravitational fields of planets?
Do or will they "fall" into orbit around the sun if their velocity doesn't reach escape velocity for the solar system? (what is escape velocity for the solar system, actually? Is it stronger than that to escape Earth orbit, for example?)
The graphic map shown on the website makes it appear that the probes follow straight-line paths, but it is a pretty basic image, and it may not be intended to be very accurate in terms of the specific shape of the path.
Was the amount of propulsion and acceleration of these probes sufficient to propel them out of the solar system? I guess that goes back to my escape-velocity question, but maybe there's another way of determining the velocity it takes to avoid "falling" into solar orbit.
By the way, sorry for putting "falling" in quotation marks. It seems like there should be a better word but this one seems to be the most tangible where succumbing to gravity is concerned - maybe "entering into orbit" is a better one since, presumably, a satellite can orbit something without the orbit decaying (or don't they always decay, however slowly? This would actually seem more logical to me since gravity should have similar effects on objects at different distances, only at a weaker scale.)