Silly orbits - can an orbit be both stable and interplanetary?

In our story's universe, a solar system is hand-crafted by a deity with seven smallish bodies working in a way that I can only describe as Lagrangian Points, where all planets have the same orbital path and rough mass and volume, but are separated by a seventh of a turn from each other. This is somewhat stable in the story and only needs to exist for a relatively small amount of time, astronomically speaking.

The trouble is, we also need a smaller body (a left-over chunk of a salvaged planet, not of much size) to pass by the planet regularly, say once every few years. I've devised a couple of silly paths that would allow the small body to pass each planet forming something like a 7-pointed star, but wondered if this were actually possible.

To be clear, the story won't go into any detail on the physics involved, and the orbit is acceptable even if it requires a high level of precision in set-up because it's going to be the result of a deity.

Edit:

To clarify, the orbit won't need to be stable for a period of time on the scale of billions of years, likely less than a few million years, though this will effect the context of the story significantly.

posted about 6 years ago

Liam George‭

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