0 an arrangement in which two or more planets, stars, etc. are in a straight line:
When the Moon is in syzygy with the Sun and Earth, there can be noticeable gravitational effects.
We move on to infinite aperiodic syzygy sequences.
These considerations allow us to define a syzygy map from collision-free sequences to infinite non-stuttering syzygy sequences.
The syzygy equations are on four-tuples of coplanar vertices.
It is believed that some of these have no syzygies, but this is just a guess.
A syzygy is a collinear configuration of the three bodies.
Collinear solutions count as being in constant syzygy.
Thus, every bounded collision-free solution has a syzygy sequence.
A curve on the shape sphere has an associated syzygy sequence: list the syzygies in order.