Dispositor
A planet's dispositor is the planet that rules where it stands — most often the lord of its sign. It matters for two reasons: reception is defined as a planet aspecting its dispositor, and the tradition holds that a planet only delivers as much as its dispositor allows it to.
The fuller picture
The lookup is trivial and the consequences are not. Jupiter in Aries is disposed by Mars, because Mars owns Aries; the Moon in Pisces is disposed by Jupiter. The word carries a landlord-and-tenant sense that is worth keeping — the tenant is where they are on somebody else's terms. In the strict sense the dispositor is the lord of the sign, by domicile. In the broader sense a planet is disposed by any of the up to five owners of its degree, and that broader list is what receptions are graded from, strongest to weakest. Both senses are in use, and the narrow one is what people normally mean when they say a planet's dispositor without qualifying it.
The first job is structural. Reception — the mechanism that decides whether a promise the chart has already made actually lands — is defined as a planet aspecting its dispositor. That is why dispositorship is not a decorative fact: without knowing who disposes a planet you cannot say whether it is received, and without that you cannot grade what its aspects are worth. The aspect requirement is genuinely load-bearing and it has been tightened at least once. Our source states in one chapter that two planets in each other's dignities with no aspect between them are not in reception at all, and in a later chapter he goes further and requires the aspect to be applying: a planet applying to its dispositor is received, and the wording does not leave room for a separating one. The two statements aren't reconciled, so a separating aspect to a dispositor is an open question rather than a settled yes.
The second job is the more interesting one and it is easy to miss. The tradition holds that every planet delivers on its promise according to the freedom its dispositor gives it, so if the dispositor is in poor condition, what the planet delivers may not be stable or trustworthy. That is not a marginal rule. In one method for judging whether a report or a rumour is true, the dispositor of the Moon is named as a significator in its own right, alongside the ruler of the first, the Moon herself, Mercury and the angles — and in both worked charts it is the testimony that settles the judgment. In one, a weak and badly placed dispositor is the reason the rumour is called dishonest. In the other, a peregrine dispositor that can deliver nothing positive is enough to condemn a rumour whose other testimonies are mixed.
Dispositorship can also stand as a testimony with no aspect involved at all. In a rule about inheriting an estate, the ruler of the first or of the second being the dispositor of the ruler of the fifth is by itself a positive indication — the bare relationship of ownership counts, without anything having to connect. That is a different use from reception, and it is worth separating the two in your own notes: reception needs an aspect, and dispositorship as ownership does not.
One reversal to hold on to, because it changes readings. A significator with no dignity at all is normally weak, and a peregrine planet received by its dispositor is read as supported rather than as failing — in one chart a peregrine Mercury standing in Mars's sign and received by Mars is taken to support the matter. So the sequence is: find who owns the ground, ask what condition that owner is in, and only then decide what the planet standing there can do.
In your chart
The iHorary planet dossier carries a disposition row for every planet: it names the planet disposing it by domicile, reports whether that planet is itself in a dignity or in detriment or fall, and says whether an aspect actually connects the two, coloured by the aspect's quality. A planet in its own sign is guarded so it never reads as received by itself. The row deliberately shows one step rather than all five owners of the degree — receptions that matter between the two parties are read off the full five-grade list elsewhere.
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