Yes, the extent of movement of the sunrise and sunset during the course of a year is also the extent of movement of the ecliptic where it crosses the horizon during the course of a single day and night cycle.
The ecliptic is the annual path of the Sun on the celestial sphere, so the sunrise & sunset points on the horizon correspond to the points where the ecliptic crosses the horizon.
Here's an interactive 3D animated diagram which you may find helpful. The blue globe grid is the celestial sphere, with the polar axis labelled with N & S. The greenish-grey disc is the horizon plane, with the north-south and east-west axes in green. The red circle is the ecliptic. The letters around the ecliptic circle mark the Sun's location at the equinoxes and solstices. M is the March equinox, J is the June solstice, S is the September equinox, and D is the December solstice.
You can set the latitude, the number of animation steps, and the opacity of the horizon plane. Here's a typical frame.
A high step
number gives a smoother animation, but it takes longer to compute all the frames.
Here are the 3D interface controls.
- Orbit - right mouse, or left mouse + ctrl/meta/shiftKey
- Zoom - middle mouse, or mousewheel
- touch: two-finger spread or squish
- Pan - left mouse, or arrow keys