The Brotherhood of Light describe s the processes similar to these for opposition, square, conjunction:
The Conjunction as you know brings two forces together and however they are designed in element and humor one which is more powerful wins over the effect of the other or they both "agree" to blend and bring that whichever they rule together to be profited by, or otherwise.
A square acts with much force as in a major scuffle between the two forces..usually an outer force they are connected with siphoning off the obstacle will rarely not be seen or involved in the scenario-to lets say help the two planets joined in the obstacle to surmount the energy in its effect..i.e.; the two planets involved are damaged in some way and the energy can be lasting or the two planets activities will effect a conclusion-with much disagreement, the two forces leave each other worse for ware. The square has an effect of overturning vessels of wine to each involved in the energies wake ..There is rarely a loss which does not occur to one or the other of the participants, usually both, unless they can agree to desist in the energy which is accomplished by the type of third party element/energy introduced which is benign/and helps to amend.. or not (depending upon the condition of the planets involved.) The other factor or planet being the source of their help is usually a Karmic/Dharmic (by this I mean a lasting heavier outer force, which Lilly affectionates do not acknowledge) to leave the two with a lesson of mending possibilities, lest the two become completely ruined, in effect the two involved are aided or abetted by forces. (houses signs planets) The effects of the scuffle may be viewed as in a personal war-The diplomat enters to temper the square energy. As the diplomat enters and the two abiding kings resolve the distress by a third ambassador who brings new action into the process ..as in a fight there may be some lose of life or limb, metaphorically speaking, damage controlled and the third party reconciles them in some , briefly touched on as mentioned. The process is reconciliation of a hard lesson of effectiveness, a saving grace is the process..you've heard the expression, adversity developing character...ipso-facto here.
There are some whom believe the force of the square is so powerful that it is assumed it is the more devastating of them all, but it is this astrologer's opinion it is the opposition which is the more powerful, rendering as-sunder and separating, as two powers come to logger heads boiling back along each other's path of energy until one is completely within the wake of the forces of the other..hence the valuation of separation, the forces take from each other as each is more or less more powerfully expressed in their values and meanings from houses/signs elevation..etc.
Here in ends the lesson..The BrotherHood of light based in Los Angeles California has a much more succinct explanation than I am capable of giving here.
All the best
Vyri