Showing posts with label ascendant. Show all posts
Showing posts with label ascendant. Show all posts

Sunday, 1 March 2015

The Ascendant in Polar Latitudes - Reverse and Direct

The ascendant seems to behave unpredictably in polar regions, i.e., in areas above the arctic circle and below the antarctic circle. The ascendant seems to leap around, from one edge of the horizon to the other, and is sometimes direct and sometimes 'retrograde'. Some degrees never rise, and consequently can never set; some degrees never set, and consequently can never rise. However, the behaviour of the ascendant in polar latitudes is quite predictable and follows an understandable course.

The following description applies to all polar latitudes. However, as one travels north (in the northern arctic circle) fewer and fewer degrees rise and set in the conventional sense (i.e., in the manner that is observable in sub-polar latitudes). I will look at the situation at 70 North, which is around 3 1/2 degrees north of the arctic circle. At this latitude the two signs around the summer and winter solstices don't rise and set. The summer signs, Gemini and Cancer, remain above the horizon (i.e. are circumpolar and never set). The winter signs, Sagittarius and Capricorn, remain below the horizon and never rise.

It is worth bearing in mind that the phenomena associated with circumpolar and sub-horizon signs in the polar regions are related to the astrological concept of antiscia. Antiscia are pairs of degrees that fall equidistant from the winter and summer solstices. So the first circumpolar degree at any particular latitude (i.e., the first degree that doesn't set at the latitude), is the antiscion of the final circumpolar degree at that latitude. Degrees between the two antisicia are ones that remain above the horizon. A similar explanation may be given for sub-horizon signs in polar regions.

The following data is taken from a table of RAMC (right ascension of the MC) in Alan Leo's Casting the Horoscope. This book forms one part of Alan Leo's classic instructional textbooks for astrologers. Leo's tables give the RAMC for every latitude from the equator to 70 North. The ascendant for each latitude and RAMC can be read from the table. The RAMC for a given latitude also shows the MC.

The tables show that when the RAMC is 237 degs 03 mins (15 hours 48 mins and 12 secs) 29 Scorpio 15 is on the midheaven. This degree in Scorpio is the last degree to join the meridian before the phenomenon of sub-horizon midheavens occurs. At this time 29 Scorpio 15 also forms the ascendant. At polar latitudes, twice a day, the ascendant and MC will conjunct on the horizon due south of the observer. This is the first instance of the ascendant and MC conjoining. (See 1. in the image below.)

Leo's tables also show that the last degree to rise at 70 North (i.e., before the circumpolar zone of the zodiac) is 29 Taurus 15 - at RAMC 237 degs 03 mins (sidereal - 15 hours 48 mins and 12 secs). What is to be made of this? What the tables are illustrating is that at the moment the ascendant conjoins the MC due south at RAMC 237 degs 03 mins, the opposite degree in Taurus immediately begins to rise due north. At the same time the last degree of Scorpio becomes the descendant and begins to set. It is often said that the ascendant has 'flipped'. However, it is more accurate to say that the rising degree has passed from the final degree of Scorpio to the final degree of Taurus. This 'handover' occurs because of the way that the ecliptic moves in relation to the horizon in polar latitudes. (See 2. in the image below.)

What happens now is even more unusual, at least when compared to the principles of astrology in tropical and temperate regions. The ascendant degree begins to move along the eastern half of the horizon in a 'retrograde' fashion, with the later degrees in a sign rising before the earlier degrees. So, for example, 25 Taurus, in polar latitudes above 70 north, will rise before 20 Taurus, and this degree rises before 10 Taurus and so on. However, the degrees will rise in an orderly fashion, with each degree rising in sequence, but in reverse order to that observed in sub-polar latitudes. Notice that signs will also follow each other over the horizon in reverse order, with Taurus rising before Aries, Aries before Pisces and so on. To clarify this point, consider that in tropical and temperate zones the degree to rise after 29 Taurus would be 00 Gemini. However, in this example from the polar zone, 28 Taurus rises after 29 Taurus, and this is followed by 27 Taurus.

This phenomenon occurs because the ecliptic lies close to the plane of the horizon in polar latitudes. This means that rather than rising at a large angle to the horizon, the ecliptic appears to be 'peeled away' from the horizon, from the north point of the horizon to its south point. This is most noticeable when the ascendant is in reverse in the sense that I have described it here. The other notable feature of this retrograde ascendant is that the 'twelfth house' is below the horizon and the 'first house' is above the horizon. This is quite different to most astrological house systems in tropical and temperate regions where the twelfth house is above the horizon and the first is yet to rise (in the sense that is it has appeared above the horizon). The implications of this will be considered in a later article, looking at house systems in polar regions.

The ascendant now moves rapidly along the eastern half of the horizon towards the point due south of the observer. At times, around ten degrees of the ecliptic can rise in less than eight minutes (the first decan of Aries at 70 North). When the rising degree reaches the antisicion of 29 Scorpio 15 - 00 Aquarius 45 - the ascendant is again conjunct the MC. The midheaven, in the time that it has taken the ascendant to travel backwards from 29 Taurus 15 to 00 Aquarius 45, has travelled from 29 Scorpio 15 to 00 Aquarius 45. (See 3. in the image below.) This occurs at RAMC 302 degs 57 mins (sidereal - 20 hours 11 mins and 48 secs). In total the ascendant has been rising in reverse for 4 hours 23 mins 36 secs and has covered nearly half the zodiac.

At this point, the rising degree is immediately handed to 00 Leo 45 - due north of the observer. (See 4. in the image below.) From this point, until 29 Scorpio 15 again becomes the ascendant and MC conjointly due south of the observer, the ascendant will rise in the way that it does in sub-polar regions, with earlier degrees in a sign rising before later degrees. The order of the signs will also be preserved, with Leo rising before Virgo, etc. During the time that the ascendant moves from 00 Leo 45 to 29 Scorpio 15 the midheaven moves methodically (at the rate of one degree every four minutes) through the rest of the zodiac from 00 Aquarius 45 to 29 Scorpio 15. It 'chases' the slowly rising ascendant, eventually 'catching' the rising degree in the last degree of Scorpio. The movement of the ascendant from 00 Leo 45 to 29 Scorpio 15 takes 19 hours 36 mins 24 secs. The polar ascendant cycle then repeats during the next diurnal phase. All midheavens between 00 Aquarius 45 and 29 Scorpio 15 will be formed above the horizon, in the way that the MC is observed in tropical and temperate latitudes.

The following diagram summaries the movement of the ascendant and midheaven at the polar latitude of 70 degrees north. The cycle begins at 1. and concludes at 4. before returning to 1. for a further diurnal cycle.



Figure 1. The Ascendant and Midheaven at 70 Degrees North

In short, the minimum zenith distances of midheavens formed in Sagittarius and Capricorn at this latitude will be greater than ninety degrees (sub-horizon), whilst the minimum zenith distances of midheavens formed in the rest of the zodiac will be less than ninety degrees (above horizon). There are two midheavens at this latitude - 29 Scorpio 15 and 00 Aquarius 45 - where the zenith distance will be precisely ninety degrees (on the horizon) when the ascendant conjoins the MC at the sidereal times identified above.

Please note that the combined rising times for the retrograde and direct ascendants at 70 north is 24 hours, even though around 120 degrees of the zodiac (Sagittarius, Capricorn, Gemini and Cancer) will not rise (i.e., have a zenith distance of precisely ninety degrees) during the course of a day. A midheaven will be formed at all 360 degrees of the zodiac over the course of 24 hours. However, just over sixty degrees of the zodiac (Sagittarius, Capricorn) will form an MC below the horizon.

This article is the third part of a series of pieces exploring the ascendant, midheaven and houses in polar regions. Readers are directed to preliminary blog entries on the definition of the midheaven and ascendant using the concept of zenith distance.

The Definition of the Midheaven

The Definition of the Ascendant


Sunday, 15 February 2015

The Definition of the Ascendant

The ascendant is the fundamental angle of the horoscope. It is one of the features of the horoscope that has endured over millenia and has been central to astrological practice since classical times. The ascendant first appeared as an astrological feature in classical Greek horoscopes around 200 BCE (Avelar and Ribeiro, p. 5).

Astrologers will often define the ascendant as the point of the ecliptic on the eastern horizon at the time and place of birth. This is a reasonably good definition and is found in reliable textbooks. For example, in The Revised Waite's Compendium of Natal Astrology, the ascendant is defined as the point of the ecliptic which cuts the eastern horizon (Candlish, p. 20). In this textbook it is noted that the ascendant varies according to the time and place (i.e., latitude) of birth.

Robert Hand provides two useful and more precise definitions of the point in his essay on the ascendant, midheaven and vertex in extreme latitudes (for reference see below). Hand's first definition is that the ascendant may be the point of intersection of the rational horizon and ecliptic in the east (i.e., the eastern node). His second definition is that the ascendant may be the ascending node of the ecliptic upon the rational horizon. (Hand, p. 132)

Hand introduces an important refinement in both definitions. He makes it clear that the horizon used by astrologers when identifying the ascendant is the rational horizon rather than the visible or apparent horizon. The visible horizon is the horizon available to the observer at the time and place for which the chart is cast. This is a small circle engirding the place lying parallel to the rational horizon. (Mayo, p. 15-16) The rational horizon is a great circle defined by points at a distance of ninety degrees from the zenith, the point immediately above the observer on the celestial sphere. (Mitton, p. 191)

This definition of the rational horizon uses the concept of zenith distance. The definition of zenith distance is taken from Mitton's Dictionary of Astronomy. Zenith distance is "the angular distance from the zenith to a point on the celestial sphere, measured along a great circle." (Mitton, p. 416) The great circles in the example of the rational horizon will run through the zenith and nadir.

In the following image, the horizontal frame of reference is shown, with the rational horizon being the green plane running through the east, north, west and south points. The red arrows running from the zenith to the rational horizon illustrate the zenith distance of ninety degrees that defines this plane.


Figure 1: The Celestial Sphere (Horizontal Frame of Reference)

In a previous blog entry I used the concept of zenith distance to define the midheaven. The midheaven or MC is the degree of the ecliptic that has attained its minimum zenith distance during a diurnal cycle, irrespective of its direction in relation to an observer or its height in relation to the horizon. (http://www.exeterastrologygroup.org.uk/2015/01/the-definition-of-midheaven_18.html) In this second article, I would like to explore the possibility of defining the ascendant in astrology using the same terms and conditions as that adduced for the midheaven.

In this case, the ascendant ought to be defined without reference to direction (east) or according to above and below (the ascending node option). In this second instance, the ascendant would be defined as the point of intersection between the ecliptic and the rational horizon where the ecliptic moves above the reference plane (the rational horizon).

To define the ascendant using the same terms and conditions as that used for the midheaven, we have to limit ourselves to reference to zenith distance. I wish to suggest that a definition of the ascendant using this concept is that it is the point on the ecliptic that has a zenith distance of ninety degrees but has not yet attained its minimum zenith distance during the diurnal cycle. The two criteria - zenith distance, not yet attained its MZD - are necessary to distinguish the ascendant from the descendant. The latter also has a zenith distance of ninety degrees. The distinguishing feature of the descendant is that it is the point on the ecliptic with this zenith distance that has already attained its minimum zenith distance during the diurnal cycle.

How does this definition work. Firstly, the specification of the zenith distance ensures that the ecliptic degree coincides with a point on rational horizon, i.e., both points have a zenith distance of ninety degrees. This is in fact what the ascendant is - the intersection or coincidence of the two planes: the ecliptic and rational horizon. Secondly, the rising degree - or ascendant - is moving from its intersection with the rational horizon towards its intersection with the meridian when it will attain its minimum zenith distance during the day (it will be at is closest approach to the zenith).

The descendant is the point opposite the ascendant, exactly fulfilling the condition of having a zenith distance of ninety degrees (again coincident with a point on the horizon) but having attained its MZD earlier in the day, i.e., it is now setting.

In this definition of the ascendant, the application of direction (east) or concepts of above and below are not required to make a precise meaning of the term. In fact, the ascendant so defined will always be in the eastern half of the rational horizon and the descendant will always be in the western half of the same plane. However, the application of direction is neither a necessary nor sufficient condition for the definition of the concept. Likewise, the recourse to above and below is not required and can be dispensed with, as we did for the definition of the midheaven.

In the following image, the definition of the ascendant offered above is illustrated. Note that the coincidence of the plane of the ecliptic and the plane of the rational horizon occurs at zenith distance of ninety degrees. The rising degree will move from its position on the horizon to the MC during the course of one diurnal cycle and set later at a zenith distance of ninety degrees.


Figure 2: The Ascendant Definition Illustrated

We now have precise definitions for the angles of the horoscope using the minimum number of concepts. In fact, in both cases, the concept of zenith distance is the only term that needs to be formally employed. Both definitions work at all latitudes and for any time during a diurnal cycle. That is, they are universally applicable, unlike, in particular, alternative definitions of the midheaven that have been offered using the concepts of direction and above/below.

The midheaven is defined as the ecliptic degree that is at its minimum zenith distance during its diurnal cycle. This degree will always be coincident with the meridian of the place but the zenith distance of any particular degree on the MC will vary with the latitude of the place. When a degree is on the midheaven it is at its closest approach to the zenith during its diurnal cycle. The degree may, in some circumstances in the polar circles, be below the horizon.

The ascendant is defined as the ecliptic degree that has a zenith distance of ninety degrees but is yet to attain its minimum zenith distance during its diurnal cycle. It will, in due course, become the midheaven, but will not do so until it coincides with the meridian of the place and attains its MZD. The descendant is the ecliptic degree that has a zenith distance of ninety degrees and has already attained its minimum zenith distance.

The IC (Imum Coeli) is the ecliptic degree that is at is maximum zenith distance during its diurnal cycle. This degree will always be coincident with the meridian of the place but the zenith distance of any particular degree on the IC will vary with the latitude of the place. When a degree is on the IC it is at its furthest distance from the zenith during its diurnal cycle. The degree may, in some circumstances in the polar circles, be above the horizon.

The nonagesimal degree is the point on the ecliptic that is closest to the zenith at the time and place for which the chart is cast - that is, it is the point on the ecliptic that has the minimum zenith distance measured on any great circle running through the zenith and nadir at this time and place.This point is different from the MC; the degree associated with the nonagesimal will have been, or will be, closer to the zenith when it had, or has, its MZD on the meridian. The MC and the nonagesimal will only coincide when the first degree of Aries or the first degree of Libra rises, that is, when the equinoctial axis has a zenith distance of exactly ninety degrees.

In a later blog, I will explore some of the implications of these definitions, particularly for house systems generally employed by astrologers.

REFERENCES

Helena Avelar and Luis Ribeiro (2010) On the Heavenly Spheres: A Treatise on Traditional Astrology. AFA Press.
Alan Candlish (1990) The Revised Waite's Compendium of Natal Astrology. Arkana Penguin.
Robert Hand (1982) Essays on Astrology: The Ascendant, Midheaven and Vertex in Extreme Latitudes. Whitford Press.
Jeff Mayo (1976) The Astrologer's Astronomical Handbook. L N Fowler and Co.
Jaqueline Mitton (1993) The Penguin Dictionary of Astronomy. Penguin Books.