1. A system for generating stabilized visual content using spherical visual content, the system comprising: one or more physical processors configured by machine readable instructions to: obtain the spherical visual content, the spherical visual content captured by one or more image sensors during a time duration, the spherical visual content including phenomena caused by motion of the one or more image sensors and/or one or more optical components that guide light onto the one or more image sensors during at least a part of the time duration, the spherical visual content including pixels represented in an image space, the image space including a projection point inside the image space, wherein the spherical visual content is transformed into a spherical projection space by projecting the pixels in the image space to the spherical projection space along lines including the projection point; determine a capture path taken by the one or more image sensors during the time duration, the capture path reflecting positions and orientations of the one or more image sensors during the time duration, the capture path including capture viewpoints from which the one or more image sensors captured the spherical visual content during the time duration, the capture path including a first capture viewpoint from which the spherical visual content was captured at a first point in time within the time duration; determine a smoothed path based on the capture path, the smoothed path having smoother changes in positions and/or orientations than the capture path, the smoothed path including smoothed viewpoints, the smoothed path including a first smoothed viewpoint at the first point in time within the time duration; warp the image space based on a difference between the capture path and the smoothed path, the difference between the capture path and the smoothed path including a difference between the positions of the first capture viewpoint and the first smoothed viewpoint at the first point in time; determine the stabilized visual content by projecting the spherical visual content represented in the warped image space to the spherical projection space, wherein views of the stabilized visual content appear to be from the smoothed viewpoints such that a view of the stabilized visual content corresponding to the first point in time appears to be from the first smoothed viewpoint; and effectuate presentation of the stabilized visual content on a display.