Force and velocity
This simulation shows the gravitational forces (red arrows) between the bodies in the Solar System, and their velocities (blue arrows).
Alternative simulations:
single view centred on Sun
single view centred on Earth

Beyond a certain length - indicated by a bar across the arrow - the arrows grow logarithmically (so that a doubling in force or velocity would be shown as a fixed increase in length). This allows a much greater range of magnitudes of force and velocity to be displayed side-by-side on the screen.

Increase the "Arrow scaling" control to view the velocities of the slower moving outer planets - or view all the forces on in zoomed-in view of the Sun.

Each object in the Solar System is attracted to every other one, but the forces between the planets are far smaller than the mutual attractions between each planet and the Sun, simply because of the Sun's overwhelming mass.
Looking at each inner planets and the Sun, you'll notice the matching forces of attraction between them.

Each object (this is especially noticable with the Sun) has a number of different forces (shown by line headed arrows) acting on it. This are added together to give the total (or resultant) force on each object (shown by the solid headed arrow).
For the Sun the resultant force is in the general direction of Jupiter (by far the most massive planet).
For the planets, the attraction of the Sun is by far the most significant force they experience, so the the resultant force towards the Sun overlays the component force (towards it) which cannot be seen separately.
Even the Earth's attraction to the Moon scarcely deflects its attraction to the Sun. The Moon's attraction to the Earth, however, does significantly deflect its attraction to the Sun.

Zoom in on the Earth to see the faint attractions of other planets (identified by their positions relative to Earth on the upper view). The attraction of Jupiter is the most significant, rivalled by Mars and Venus whenever they pass close to the Earth.