Three Dimensional great circle distance between them on the celestial sphere not just the Two Dimensional difference between their zodiac position longitudes:
This is DEFINITELY going over my head. You are just so far ahead in that celestial trigonometry (or how would it be called?) as compared to me. So sorry if I am not really having to add anything of substance, it`s just something that while I have heard of it, I have not understood or incorporated it mentally so far.
No...I am not ahead of you in celestial trigonometry.
I am just very curious and tend to look at things from multiple perspectives.
I found out about 3D aspects by using Solar Fire.
I clicked on Aspect Set and then Edit Aspect Set opened up, and I checked the box Use 3D Aspects (True Body)
There is this article on 3D Astrology by Walter Pullen who is the creator of the Astrology Program, Astrolog which can calculate 3D aspects:
"3D aspects" refers to aspect calculations that take planetary latitude into account. When calculating the angle and orb of aspects, in classic astrology only the zodiac position longitude of a planet is considered, and the planet's latitude is ignored. However, it's possible for aspect calculations to take the latitude of planets into account too. In other words, the aspect angle between two planets is determined by the 3D great circle distance between them on the celestial sphere, and not just the 2D difference between their zodiac position longitudes.
For example, during a New Moon the Sun and Moon may be as much as 5 degrees different in latitude. That means that even when a New Moon is exact, the 3D aspect orb between them may be up to 5 degrees. (If the Sun and Moon are conjunct in both zodiac position and latitude, then a solar eclipse is taking place.) For bodies with latitudes that can be widely different from the ecliptic, such as Pluto, asteroids, and especially fixed stars, the difference is more pronounced. For example, a body at 0Leo and -30 latitude will be Square a body at 0Leo and +60 latitude, because they're 90 degrees apart, even though they’re both at the same longitude and would be considered Conjunct normally.
3D aspects suggests that an exact time New Moon in which the Sun and Moon are different by 5 degrees in latitude, has the same orb or strength as a standard Sun/Moon conjunction different in zodiac position longitude by 5 degrees. If you use 3D aspects, then aspect orbs will increase by up to the latitude difference, which can cause some aspects to disappear if they're pushed beyond the orb limit.
"3D orbs" is a related concept to 3D aspects. 3D orbs means orb limits apply to latitude as well as zodiac position longitude. With 3D orbs active, a Conjunction with a 5 degree orb will be considered out of bounds (and therefore not a valid Conjunction) if the zodiac positions are different by more than 5 degrees, or if the latitudes are different by more than 5 degrees. 3D orbs can be considered a "lighter" version of 3D aspects or 3D aspects partially applied, because no aspects will change into other aspects, however some aspects will disappear if pushed beyond the vertical orb limit. For example, two bodies at 0Leo will potentially be considered Conjunct (and never any other aspect, no matter how much their latitudes differ) however they'll only be Conjunct if their latitudes are close enough to be within orb.
Parallel and contraparallel aspects are one classic astrology technique that takes into consideration the latitude of planets. However, they only look at latitude in isolation separately from zodiac position longitude. 3D aspects are similar to standard and parallel aspects unified and combined into one.
In Astrolog, turn on 3D aspects with the "-A3" command switch, or in the Windows version with the "3D Aspects" checkbox in the Calculation Settings dialog. Also, turn on 3D orbs with the "-Ap" command switch, or in the Windows version with the "3D Orbs" checkbox in the Calculation settings dialog.
www.astrolog.org/astrolog/ast3d.htmI first learned about 3D Aspects back in 2008.
I noticed that there were significant differences with transneptunian objects (includes Pluto) and asteroids because they tend to orbit in latitudes much higher than the planets.
Pluto was on the ecliptic when Clyde Tombaugh discovered.
That's why he was able to see it when he was searching the ecliptic for the proposed Planet X which turned out not to be Pluto.
Pluto can orbit up 17 degrees off the ecliptic.
When I was born, Pluto's Ecliptical Latitude was 15'44 North
When Pluto was discovered,
Pluto's Ecliptical Latitude was 0'12 South
Mercury's Ecliptical Latitude was 0'14 South
Mercury and Pluto were in a 2 minute parallel in Ecliptical Latitude.
It's like a configuration that means perceiving Pluto
www.astro.com/astro-databank/Celestial:_Pluto_DiscoveryThere is another astrological program that can calculate 3D Aspects
It's Riyal created by Juan Revilla.
expreso.co.cr/centaurs/riyal.htmlI will start a thread about Multi-dimensional Astrology and post about coordinates other than Ecliptic Longitude which is usually the only thing that most astrologers observe.
Because of my preference for Multi-dimensional view of the astrological nativity/event, I prefer not to use non-ecliptic stars in Ecliptic Longitude.