What's actually happening
A Last Quarter Moon occurs when the Moon is ninety degrees behind the Sun in the zodiac — a waning square. The Moon is half-lit, now diminishing rather than growing.
For a Last Quarter in Libra, the Moon is in Libra while the Sun is in Capricorn. The tension is between the relational, harmonizing quality of the Moon and the structural, duty-oriented quality of the Sun.
What the tradition makes of it
The Last Quarter is a "crisis of consciousness" — the recognition of what was genuinely learned in the cycle and what must be let go. Libra brings the social and relational dimension to that moment of release. What is released is not necessarily a relationship itself but the specific arrangement or agreement that governed it during this cycle: the terms that no longer serve, the accommodation that was extended past its appropriate length, the balance that has become imbalance.
The release is not hostile. It is the completion of a negotiation that has reached its natural end.
How to actually use it
Acknowledge what the relational work of this cycle accomplished and where it concluded. Complete the conversations that are open, honor the agreements that were fulfilled, and release the ones that have run their course. This is good weather for the honest and kind conclusion rather than the indefinite continuation.
When in doubt
Ask what relational arrangement from this cycle has already reached its natural end — and whether you are maintaining it out of genuine care or out of reluctance to acknowledge that it is complete.