Astronomy and Astrology by Roy Swanson

Transcription

1 Astronomy and Astrology by Roy Swanson 1. INTRODUCTION Over the last several centuries, there has been a lot of confusion about the relation between astronomy and astrology. In this article I will describe some observations concerning this interesting juxtaposition of human knowledge and creativity. Any article that has the temerity to discuss astronomy with astrology is going to encounter a lot of reader preconceptions, so I will go very carefully. These preconceptions arise because most people have strong feelings toward this meeting of worlds. Let me start by affirming that I have positive views for both sides. I might begin with a legal case I ran into when I was a law student some years ago. In the British casebooks there was, some 60 years ago, a case where a young lady was suing a gentleman for seduction using dishonest means. Apparently, in Brighton, a young man was dating a young lady who incautiously mentioned that she firmly believed in astrology. He held back the fact that he wrote the local newspaper's astrology column. As one might expect, he inserted the admonition to "throw caution to the winds" at just the right time, with predictable consequences. My point with this vignette is to underscore the most important aspect of astrology, that it is akin to religion, and one does not pontificate in this area lightly without incurring the wrath of many readers. To balance things, let me mention another vignette. I was walking along an ocean beach one time with a person who was very sceptical of astrology, and he emphasized the impossibility, to his mind, of action at a distance. He seemed to be rather knowledgeable about tides, so I got him to agree about the action of the Moon on water on the surface of the Earth. Then I mentioned the unusually high and low tides, and he had to agree that the Sun's position could be considered the cause of these extra large swings in the magnitude of the tides. I then ventured the opinion that perhaps humans, who are to a large proportion made of water, might somehow be affected as well. He said that a car driving near you has much more gravitational effect than distant bodies. I pointed out that more than gravity is implied by the believers in Astrology think of the music of the spheres. We will return to another effect of the Sun Moon and Planets shortly. 2. PRECESSION AND OPHIUCHUS One of the strong tenets of astrology is that the exact positions of heavenly bodies of the Solar System with respect to the celestial background significantly influence your destiny, and portentous inferences are made on that basis. Thus, if you state the position of the heavenly body at a given significant time, such as exactly at birth, in a horoscope of what lies ahead in your destiny, the mentioning of the positions lends authenticity to what is then added. In The Mikado, Poo-Bah calls this strategy the addition of, "...corroborative detail, intended to give... verisimilitude to an otherwise... unconvincing narrative" [in Gilbert, W.S., & Sullivan, A. 1885, The Mikado or the Town of Titipu, Act 2] Roy Swanson May 2004 Page 1

2 As an amateur astronomer, I find that there are two main points about these two disciplines that require discussion: the precession of the Earth's axis of rotation, and the existence of a 13th constellation in the zodiac. 2.1 Precession First of all, I want to begin with what the Earth really is, in terms of its dynamics in the Solar System. It is a spinning top, with extra mass at the equator. The spin axis is tilted 23.5 degrees to the plane of the ecliptic. Now, a spinning top will gyrate, or "precess", unless it is perfectly homogeneous, and not affected by nearby objects. Since the Earth has an equatorial bulge, and has large gravitationally-interacting bodies like the Moon and Sun relatively nearby, its axis wanders around in a circle. If there were a pencil sticking out of the top, it would point to different positions at different times, moving smoothly around, and repeating the cycle after a lot of spins. The Earth precesses in a 25,800 year cycle (See Appendix A). The northern extension of its axis is presently pointing very near Polaris, but the axis is always moving, and one day in the future it will no longer be pointing near Polaris. The Starry Night Pro software package has a very interesting subroutine that shows the wandering of the celestial pole over this 25,800 year period. The Right Ascension of all the stars shift due to precession, but the plane of the ecliptic does not change. Without applying a correction, key times in the seasons on Earth would change. Two thousand years ago, the spring equinox occurred when the celestial equator intersected the zodiac in the constellation Aries. (First point of Aries) Our calendar is very deliberately altered with leap years, and earlier, even more drastic measures, to make sure the spring equinox stays relatively put. At the present time, this important first seasonal point occurs with the celestial equator intersecting the zodiac near the Circlet in Pisces. Roy Swanson May 2004 Page 2

3 This process means that the positions of the Sun and planets as observed from the Earth are not time-invariant, as astrology assumes, but are really (slowly but continuously) time-dependent. We call the current time interval an "epoch" in this long cycle of precession. An epoch is many hundreds of years in duration. It is actually very difficult to define an epoch, since it must refer, in the end, to time between inadmissible variances from a reference position, in a smoothly changing phenomenon. It is similar to replacing a smooth curve with a bar chart. I suspect that Astrologers came adrift with the problem of a suitable epoch before they finally gave up trying to relate properly to Astronomy. They want timeless immutable positions for the solar bodies. If we consider the zodiac as composed of 12 equal sized constellations, then the vernal (March) equinox moves through the constellations at a rate of one every 2,150 years, or 30 degrees. This shift amounts to about one hour of right ascension every millennium. Consider a person standing at the north pole of the Earth. Looking in the direction of the Sun is like being a bug on the rim of a slowly counter-rotating wheel looking at the axle of the wheel, the Sun. The bug might note the changing background behind the turning wheel, say, the successive walls of an automobile service station. Similarly one might note the changing celestial backdrop for the Sun in the yearly counter-clockwise rotation of the Earth. The Clear Skies! software package has a set of figures showing this parade over the year very effectively, one of which is reproduced in Figure 2. The problem is that in stating the positions of these heavenly bodies, most astrologers are at least one epoch back! As a result, the positions they use are nearly always very wrong. One can imagine a crusty farmer in the Middle Ages (in the northern hemisphere) saying to an astrologer, "you can believe what you want, but I am not planting crops until one week after spring equinox." Roy Swanson May 2004 Page 3

4 2.2 Ophiuchus The zodiac refers to those constellations that lie along the plane of the ecliptic (i.e., the plane of the Solar System). The Sun appears to move smoothly to the east through the zodiac constellations as the years go by. The modern boundaries of the constellations were set down in Since at least that time, it has been agreed upon that the constellation of the Snake Bearer, Ophiuchus, with his back to us as he holds the snake, has part of his domain in the plane of the zodiac, taking away regions considered by the astrologers as part of the Scorpion. Stars very close to the ecliptic in this area, such as Theta Ophiuchi, have for many centuries been considered part of Ophiuchus. The problem is therefore that there are 13 constellations in the zodiac, not 12. An unlucky number indeed. There is a great deal of beauty in the number 12. It applies to a lot of things: a dozen, or the formal number of persons in a jury deciding your fate, for instance. It can be divided by 2, 3, 4 and 6, and it divides a circle of 360 degrees neatly by 30. Roy Swanson May 2004 Page 4

5 The problem is what to do about Ophiuchus? Astrologers simply ignore its existence, now and in the past, as the sculpture of Mithra or Mithras, over 2200 years ago shows. The current age of Pisces overtook the age of the Lamb, Aries, but before that, the Ram overtook the Bull (Taurus), as depicted in this ancient relief: 3. THE SUN IN THE 13 ZODIAC CONSTELLATIONS Roy Swanson May 2004 Page 5

6 References 3 and 4 list the actual travels of the Sun against its celestial backdrop for the current epoch as shown in the left-hand table. Picking up any newspaper article on horoscopes, and the 12 constellations are for all time, the houses are as shown in the right hand table: Table 1. Astronomy Table Aries April 18 - May 13 Taurus May 13 - June 21 Gemini June 21 - July 20 Cancer July 20 - August 10 Leo August 10 - September 16 Virgo September 16 - October 30 Libra October 30 - November 23 Scorpius November 23 - November 29 Ophiuchus November 29 - December 17 Sagittarius December 17 - January 20 Capricornus January 20 - February 16 Aquarius February 16 - March 11 Pisces March 11 - April 18 Table 2. Astrology Table Aries March 21 - April 20 Taurus April 21 - May 20 Gemini May 21 - Jun 21 Cancer June22-Jul22 Leo July 23 - Aug 22 Virgo Aug 23 - Sept 22 Libra Sept 23 - Oct 23 Scorpius Oct 24 - Nov 22 Sagittarius Nov 23 - Dec 17 Capricornus Dec 22 - Jan 20 Aquarius Jan 21 - Feb 19 Pisces Feb20-Mar20 The boundary days or cusps differ slightly in different listings of this table. There is a table in Appendix C that outlines each day in 2005 as far as the star sign is concerned Again, there are slight variations in the boundary days. As Appendix C shows, 9 times out of ten, people are wrong even about their own sign. The problem and the irony, of course, lies in the need in astrology to know the exact relative position of the Sun at key times, such as when a person is born. Since it is both dangerous and fruitless to look at where the Sun is with the naked eye or unprotected optics, the general public accepts the word of the astrologers when they state where the Sun is, with respect to these background zodiac constellations (often referred to as "houses"). They also take the word of the astrologer for the positions of all the other major bodies of the Solar System. However, with the recent advent of astronomy software such as Starry Night Pro, it is very easy to check where the Sun is, simply by removing the glare in the computer simulation. These programs are also sometimes referred to as planetarium software. I have also found them helpful in planning what to look at, and where, before an evening of stargazing. I have been in contact with the two local astrologers who write columns for the Toronto Star and the Globe and Mail newspapers. Aside from sniffing that I must be an Ophiuchan (which I am), they have never denied my numerous assertions as to where the (Solar System) heavenly bodies really are, compared to where they say they are. Roy Swanson May 2004 Page 6

7 It is instructive to take a program like Starry Night Pro and step the time back to noon on the same day one century earlier, then two centuries, and so on. Examples of this exercise are given in Appendix B. One then finds that the astrologers are right if the person was born, say, at that time about 2000 years ago. Yet, ironically, great significance is placed on these "exact" positions. Further, the temperament of the person of a given sign of the zodiac is affected by the entry of a planet into that house. Many books and internet sites describe the personalities of these bodies. These are also badly out of position When astrologers refer to the apparent retrograde motion of the planets against the celestial backdrop they indulge in poetic terms, such as Mercury "stops in its tracks." Fortunately for our Solar System, Mercury does nothing of the sort, in actuality. 4. FINAL REMARKS Time is running out for astrology, for two reasons: a) the continuing effect of precession means that the gap between the fixed astrological table and the current astro-metrical tables will continue to widen even more glaringly over the years. As Appendix B shows, the tables of antiquity were inaccurate shortly after the birth of Christ. b) more and more members of the general public are becoming computer-literate, and the excellent planetarium programs are becoming very popular. Let me explain what I am getting at here. There are two aspects to the belief in Astrology in my opinion. The first is the world of fantasy about heavenly bodies imbued with all sorts of human traits. To me this is an indulgence between consenting adults, and will be with us for a long time. You get nowhere using rhetoric to discredit that. The second is the stating of the position of these heavenly bodies. I think that Astrologers should be liable for legal action civil lawsuits, when they misrepresent that aspect, and are taking money for their statements. Sooner or later, a brave Astrologer will break from the fold, and be the first of a new wave of 21st century astrologers to make two major steps: 1. align all positions of the Solar System bodies with the actual positions as indicated by astronomy for the present epoch, and allow for future shifts, and 2. admit Ophiuchus into the houses of the zodiac. These steps would not affect what is already written for the heavenly bodies in themselves. Unfortunately, in astrology, there is a tremendous amount of vested interest in preserving the past, if for no other reason than to avoid lawsuits from the recipients of expensive horoscopes. If people who spend money on horoscopes wake up and sue the Astrologers, there will be a very exciting time. I am nevertheless hopeful. I think it is fun to get up in the morning and read a heartening set of words to use for that day, regardless of their real veracity. After all, having a doctorate in Roy Swanson May 2004 Page 7

8 stochastic (random) processes, I know that every once in a while, the comments will be "right on." To reiterate, it would be nice if Astrologers used actual positions, that you can verify simply by going out that evening to your back yard and gazing through a small telescope, or binoculars, or simply with your naked eye. The topical Zodiac that Astrologers use has the precession flaw, but, with the exclusion of Ophiuchus, it is not even wrong. REFERENCES Gilbert, W.S., & Sullivan, A. 1885, The Mikado or the Town of Titipu, Act 2 cdrom: Starry Night Pro (v. 4.5, 2002, SPACE.com Canada, Inc: Toronto) cdrom: Clear Skies! (1999, Swinburne, Australia: Center for Astrophysics & Supercomputing, Swinburne University of Technology) Mosley, John 2002, Starry Night Companion (Space Holding Corp: Toronto) pgs 37, 109 Appendix A Here is the path of the north pole, over 25,600 years: APPENDIX B Roy Swanson May 2004 Page 8

9 The following examples underscore the assertion that the positions stated are certainly not right for the present year: Example 1. Astronomy Table: January 20, 2004, Sun is on border between Sagittarius and Capricornus. Astrology Table: Sun is between Capricornus and Aquarius at that time. So how far back in time must we go to get the Sun on the border between Capricornus and Aquarius on January 20? The year 75 BC, according to Starry Night Pro. Example 2. "Scorpio (Oct 24 - Nov 22) With Uranus now in Pisces, the tide will move you forward." (The Toronto Star newspaper, Saturday January 3, 2004, Page L7) Starry Night Pro has Uranus, at noon, January 3, 2004, 90% of the distance in Aquarius from the Piscean border to the Capricornian border. Stepping back in time, I find that at noon, January 3, 1935, Uranus was just inside the house of Pisces near the Aquarius border. Example 3. "Aquarius (Jan 21 - Feb 19) Make the most of Venus in your sign." (The Toronto Star, Sunday, January 4, 2004, Page B5) Starry Night Pro has, for that day, Venus in the middle of Capricornus. Venus was last in Aquarius on a January 4 in 2001, and will appear there again in Example 4. "Leo (July 23 - Aug 22)...with Mars in Aries..." (The Toronto Star, January 6, 2004, Page C4) For this day, Mars is half way along the west fish of Pisces, from the juncture to the Circlet. The last time Mars was in Aries on January 6 was Appendix C The following table lists the position of the sun in the sky for each day of 2005: 41 occurrences of Yes for 365 days. So, the probability of being the same is per Cent. Of course, the actual precise position is wrong one hundred percent of the time. A B Day of Year Astronomy Sign Calendar Day Astrology Sign Does A = B? 1 Sagittarius January 1, 2005 Capricornus No 2 Sagittarius January 2, 2005 Capricornus No 3 Sagittarius January 3, 2005 Capricornus No 4 Sagittarius January 4, 2005 Capricornus No 5 Sagittarius January 5, 2005 Capricornus No 6 Sagittarius January 6, 2005 Capricornus No 7 Sagittarius January 7, 2005 Capricornus No 8 Sagittarius January 8, 2005 Capricornus No 9 Sagittarius January 9, 2005 Capricornus No 10 Sagittarius January 10, 2005 Capricornus No 11 Sagittarius January 11, 2005 Capricornus No 12 Sagittarius January 12, 2005 Capricornus No 13 Sagittarius January 13, 2005 Capricornus No A B Day of Year Astronomy Sign Calendar Day Astrology Sign Does A = B? 14 Sagittarius January 14, 2005 Capricornus No Roy Swanson May 2004 Page 9

10 15 Sagittarius January 15, 2005 Capricornus No 16 Sagittarius January 16, 2005 Capricornus No 17 Sagittarius January 17, 2005 Capricornus No 18 Sagittarius January 18, 2005 Capricornus No 19 Sagittarius January 19, 2005 Capricornus No 20 Sagittarius January 20, 2005 Capricornus No 21 Capricornus January 21, 2005 Aquarius No 22 Capricornus January 22, 2005 Aquarius No 23 Capricornus January 23, 2005 Aquarius No 24 Capricornus January 24, 2005 Aquarius No 25 Capricornus January 25, 2005 Aquarius No 26 Capricornus January 26, 2005 Aquarius No 27 Capricornus January 27, 2005 Aquarius No 28 Capricornus January 28, 2005 Aquarius No 29 Capricornus January 29, 2005 Aquarius No 30 Capricornus January 30, 2005 Aquarius No 31 Capricornus January 31, 2005 Aquarius No 32 Capricornus February 1, 2005 Aquarius No 33 Capricornus February 2, 2005 Aquarius No 34 Capricornus February 3, 2005 Aquarius No 35 Capricornus February 4, 2005 Aquarius No 36 Capricornus February 5, 2005 Aquarius No 37 Capricornus February 6, 2005 Aquarius No 38 Capricornus February 7, 2005 Aquarius No 39 Capricornus February 8, 2005 Aquarius No 40 Capricornus February 9, 2005 Aquarius No 41 Capricornus February 10, 2005 Aquarius No 42 Capricornus February 11, 2005 Aquarius No 43 Capricornus February 12, 2005 Aquarius No 44 Capricornus February 13, 2005 Aquarius No 45 Capricornus February 14, 2005 Aquarius No 46 Capricornus February 15, 2005 Aquarius No 47 Capricornus February 16, 2005 Aquarius No 48 Aquarius February 17, 2005 Aquarius Yes 49 Aquarius February 18, 2005 Aquarius Yes 50 Aquarius February 19, 2005 Aquarius Yes 51 Aquarius February 20, 2005 Pisces No 52 Aquarius February 21, 2005 Pisces No 53 Aquarius February 22, 2005 Pisces No 54 Aquarius February 23, 2005 Pisces No 55 Aquarius February 24, 2005 Pisces No 56 Aquarius February 25, 2005 Pisces No 57 Aquarius February 26, 2005 Pisces No 58 Aquarius February 27, 2005 Pisces No 59 Aquarius February 28, 2005 Pisces No 60 Aquarius March 1, 2005 Pisces No 61 Aquarius March 2, 2005 Pisces No 62 Aquarius March 3, 2005 Pisces No 63 Aquarius March 4, 2005 Pisces No 64 Aquarius March 5, 2005 Pisces No 65 Aquarius March 6, 2005 Pisces No 66 Aquarius March 7, 2005 Pisces No 67 Aquarius March 8, 2005 Pisces No 68 Aquarius March 9, 2005 Pisces No 69 Aquarius March 10, 2005 Pisces No 70 Aquarius March 11, 2005 Pisces No 71 Pisces March 12, 2005 Pisces Yes 72 Pisces March 13, 2005 Pisces Yes 73 Pisces March 14, 2005 Pisces Yes 74 Pisces March 15, 2005 Pisces Yes 75 Pisces March 16, 2005 Pisces Yes 76 Pisces March 17, 2005 Pisces Yes 77 Pisces March 18, 2005 Pisces Yes 78 Pisces March 19, 2005 Pisces Yes 79 Pisces March 20, 2005 Pisces Yes 80 Pisces March 21, 2005 Aries No 81 Pisces March 22, 2005 Aries No A B Day of Year Astronomy Sign Calendar Day Astrology Sign Does A = B? 82 Pisces March 23, 2005 Aries No Roy Swanson May 2004 Page 10

11 83 Pisces March 24, 2005 Aries No 84 Pisces March 25, 2005 Aries No 85 Pisces March 26, 2005 Aries No 86 Pisces March 27, 2005 Aries No 87 Pisces March 28, 2005 Aries No 88 Pisces March 29, 2005 Aries No 89 Pisces March 30, 2005 Aries No 90 Pisces March 31, 2005 Aries No 91 Pisces April 1, 2005 Aries No 92 Pisces April 2, 2005 Aries No 93 Pisces April 3, 2005 Aries No 94 Pisces April 4, 2005 Aries No 95 Pisces April 5, 2005 Aries No 96 Pisces April 6, 2005 Aries No 97 Pisces April 7, 2005 Aries No 98 Pisces April 8, 2005 Aries No 99 Pisces April 9, 2005 Aries No 100 Pisces April 10, 2005 Aries No 101 Pisces April 11, 2005 Aries No 102 Pisces April 12, 2005 Aries No 103 Pisces April 13, 2005 Aries No 104 Pisces April 14, 2005 Aries No 105 Pisces April 15, 2005 Aries No 106 Pisces April 16, 2005 Aries No 107 Pisces April 17, 2005 Aries No 108 Pisces April 18, 2005 Aries No 109 Aries April 19, 2005 Aries Yes 110 Aries April 20, 2005 Aries Yes 111 Aries April 21, 2005 Taurus No 112 Aries April 22, 2005 Taurus No 113 Aries April 23, 2005 Taurus No 114 Aries April 24, 2005 Taurus No 115 Aries April 25, 2005 Taurus No 116 Aries April 26, 2005 Taurus No 117 Aries April 27, 2005 Taurus No 118 Aries April 28, 2005 Taurus No 119 Aries April 29, 2005 Taurus No 120 Aries April 30, 2005 Taurus No 121 Aries May 1, 2005 Taurus No 122 Aries May 2, 2005 Taurus No 123 Aries May 3, 2005 Taurus No 124 Aries May 4, 2005 Taurus No 125 Aries May 5, 2005 Taurus No 126 Aries May 6, 2005 Taurus No 127 Aries May 7, 2005 Taurus No 128 Aries May 8, 2005 Taurus No 129 Aries May 9, 2005 Taurus No 130 Aries May 10, 2005 Taurus No 131 Aries May 11, 2005 Taurus No 132 Aries May 12, 2005 Taurus No 133 Aries May 13, 2005 Taurus No 134 Taurus May 14, 2005 Taurus Yes 135 Taurus May 15, 2005 Taurus Yes 136 Taurus May 16, 2005 Taurus Yes 137 Taurus May 17, 2005 Taurus Yes 138 Taurus May 18, 2005 Taurus Yes 139 Taurus May 19, 2005 Taurus Yes 140 Taurus May 20, 2005 Taurus Yes 141 Taurus May 21, 2005 Gemini No 142 Taurus May 22, 2005 Gemini No 143 Taurus May 23, 2005 Gemini No 144 Taurus May 24, 2005 Gemini No 145 Taurus May 25, 2005 Gemini No 146 Taurus May 26, 2005 Gemini No 147 Taurus May 27, 2005 Gemini No 148 Taurus May 28, 2005 Gemini No 149 Taurus May 29, 2005 Gemini No A B Day of Year Astronomy Sign Calendar Day Astrology Sign Does A = B? 150 Taurus May 30, 2005 Gemini No Roy Swanson May 2004 Page 11

12 151 Taurus May 31, 2005 Gemini No 152 Taurus June 1, 2005 Gemini No 153 Taurus June 2, 2005 Gemini No 154 Taurus June 3, 2005 Gemini No 155 Taurus June 4, 2005 Gemini No 156 Taurus June 5, 2005 Gemini No 157 Taurus June 6, 2005 Gemini No 158 Taurus June 7, 2005 Gemini No 159 Taurus June 8, 2005 Gemini No 160 Taurus June 9, 2005 Gemini No 161 Taurus June 10, 2005 Gemini No 162 Taurus June 11, 2005 Gemini No 163 Taurus June 12, 2005 Gemini No 164 Taurus June 13, 2005 Gemini No 165 Taurus June 14, 2005 Gemini No 166 Taurus June 15, 2005 Gemini No 167 Taurus June 16, 2005 Gemini No 168 Taurus June 17, 2005 Gemini No 169 Taurus June 18, 2005 Gemini No 170 Taurus June 19, 2005 Gemini No 171 Taurus June 20, 2005 Gemini No 172 Taurus June 21, 2005 Gemini No 173 Gemini June 22, 2005 Cancer No 174 Gemini June 23, 2005 Cancer No 175 Gemini June 24, 2005 Cancer No 176 Gemini June 25, 2005 Cancer No 177 Gemini June 26, 2005 Cancer No 178 Gemini June 27, 2005 Cancer No 179 Gemini June 28, 2005 Cancer No 180 Gemini June 29, 2005 Cancer No 181 Gemini June 30, 2005 Cancer No 182 Gemini July 1, 2005 Cancer No 183 Gemini July 2, 2005 Cancer No 184 Gemini July 3, 2005 Cancer No 185 Gemini July 4, 2005 Cancer No 186 Gemini July 5, 2005 Cancer No 187 Gemini July 6, 2005 Cancer No 188 Gemini July 7, 2005 Cancer No 189 Gemini July 8, 2005 Cancer No 190 Gemini July 9, 2005 Cancer No 191 Gemini July 10, 2005 Cancer No 192 Gemini July 11, 2005 Cancer No 193 Gemini July 12, 2005 Cancer No 194 Gemini July 13, 2005 Cancer No 195 Gemini July 14, 2005 Cancer No 196 Gemini July 15, 2005 Cancer No 197 Gemini July 16, 2005 Cancer No 198 Gemini July 17, 2005 Cancer No 199 Gemini July 18, 2005 Cancer No 200 Gemini July 19, 2005 Cancer No 201 Gemini July 20, 2005 Cancer No 202 Cancer July 21, 2005 Cancer Yes 203 Cancer July 22, 2005 Cancer Yes 204 Cancer July 23, 2005 Leo No 205 Cancer July 24, 2005 Leo No 206 Cancer July 25, 2005 Leo No 207 Cancer July 26, 2005 Leo No 208 Cancer July 27, 2005 Leo No 209 Cancer July 28, 2005 Leo No 210 Cancer July 29, 2005 Leo No 211 Cancer July 30, 2005 Leo No 212 Cancer July 31, 2005 Leo No 213 Cancer August 1, 2005 Leo No 214 Cancer August 2, 2005 Leo No 215 Cancer August 3, 2005 Leo No 216 Cancer August 4, 2005 Leo No 217 Cancer August 5, 2005 Leo No A B Day of Year Astronomy Sign Calendar Day Astrology Sign Does A = B? 218 Cancer August 6, 2005 Leo No Roy Swanson May 2004 Page 12

13 219 Cancer August 7, 2005 Leo No 220 Cancer August 8, 2005 Leo No 221 Cancer August 9, 2005 Leo No 222 Cancer August 10, 2005 Leo No 223 Leo August 11, 2005 Leo Yes 224 Leo August 12, 2005 Leo Yes 225 Leo August 13, 2005 Leo Yes 226 Leo August 14, 2005 Leo Yes 227 Leo August 15, 2005 Leo Yes 228 Leo August 16, 2005 Leo Yes 229 Leo August 17, 2005 Leo Yes 230 Leo August 18, 2005 Leo Yes 231 Leo August 19, 2005 Leo Yes 232 Leo August 20, 2005 Leo Yes 233 Leo August 21, 2005 Leo Yes 234 Leo August 22, 2005 Leo Yes 235 Leo August 23, 2005 Virgo No 236 Leo August 24, 2005 Virgo No 237 Leo August 25, 2005 Virgo No 238 Leo August 26, 2005 Virgo No 239 Leo August 27, 2005 Virgo No 240 Leo August 28, 2005 Virgo No 241 Leo August 29, 2005 Virgo No 242 Leo August 30, 2005 Virgo No 243 Leo August 31, 2005 Virgo No 244 Leo September 1, 2005 Virgo No 245 Leo September 2, 2005 Virgo No 246 Leo September 3, 2005 Virgo No 247 Leo September 4, 2005 Virgo No 248 Leo September 5, 2005 Virgo No 249 Leo September 6, 2005 Virgo No 250 Leo September 7, 2005 Virgo No 251 Leo September 8, 2005 Virgo No 252 Leo September 9, 2005 Virgo No 253 Leo September 10, 2005 Virgo No 254 Leo September 11, 2005 Virgo No 255 Leo September 12, 2005 Virgo No 256 Leo September 13, 2005 Virgo No 257 Leo September 14, 2005 Virgo No 258 Leo September 15, 2005 Virgo No 259 Leo September 16, 2005 Virgo No 260 Virgo September 17, 2005 Virgo Yes 261 Virgo September 18, 2005 Virgo Yes 262 Virgo September 19, 2005 Virgo Yes 263 Virgo September 20, 2005 Virgo Yes 264 Virgo September 21, 2005 Virgo Yes 265 Virgo September 22, 2005 Virgo Yes 266 Virgo September 23, 2005 Libra No 267 Virgo September 24, 2005 Libra No 268 Virgo September 25, 2005 Libra No 269 Virgo September 26, 2005 Libra No 270 Virgo September 27, 2005 Libra No 271 Virgo September 28, 2005 Libra No 272 Virgo September 29, 2005 Libra No 273 Virgo September 30, 2005 Libra No 274 Virgo October 1, 2005 Libra No 275 Virgo October 2, 2005 Libra No 276 Virgo October 3, 2005 Libra No 277 Virgo October 4, 2005 Libra No 278 Virgo October 5, 2005 Libra No 279 Virgo October 6, 2005 Libra No 280 Virgo October 7, 2005 Libra No 281 Virgo October 8, 2005 Libra No 282 Virgo October 9, 2005 Libra No 283 Virgo October 10, 2005 Libra No 284 Virgo October 11, 2005 Libra No 285 Virgo October 12, 2005 Libra No A B Day of Year Astronomy Sign Calendar Day Astrology Sign Does A = B? 286 Virgo October 13, 2005 Libra No Roy Swanson May 2004 Page 13

14 287 Virgo October 14, 2005 Libra No 288 Virgo October 15, 2005 Libra No 289 Virgo October 16, 2005 Libra No 290 Virgo October 17, 2005 Libra No 291 Virgo October 18, 2005 Libra No 292 Virgo October 19, 2005 Libra No 293 Virgo October 20, 2005 Libra No 294 Virgo October 21, 2005 Libra No 295 Virgo October 22, 2005 Libra No 296 Virgo October 23, 2005 Libra No 297 Virgo October 24, 2005 Scorpius No 298 Virgo October 25, 2005 Scorpius No 299 Virgo October 26, 2005 Scorpius No 300 Virgo October 27, 2005 Scorpius No 301 Virgo October 28, 2005 Scorpius No 302 Virgo October 29, 2005 Scorpius No 303 Virgo October 30, 2005 Scorpius No 304 Libra October 31, 2005 Scorpius No 305 Libra November 1, 2005 Scorpius No 306 Libra November 2, 2005 Scorpius No 307 Libra November 3, 2005 Scorpius No 308 Libra November 4, 2005 Scorpius No 309 Libra November 5, 2005 Scorpius No 310 Libra November 6, 2005 Scorpius No 311 Libra November 7, 2005 Scorpius No 312 Libra November 8, 2005 Scorpius No 313 Libra November 9, 2005 Scorpius No 314 Libra November 10, 2005 Scorpius No 315 Libra November 11, 2005 Scorpius No 316 Libra November 12, 2005 Scorpius No 317 Libra November 13, 2005 Scorpius No 318 Libra November 14, 2005 Scorpius No 319 Libra November 15, 2005 Scorpius No 320 Libra November 16, 2005 Scorpius No 321 Libra November 17, 2005 Scorpius No 322 Libra November 18, 2005 Scorpius No 323 Libra November 19, 2005 Scorpius No 324 Libra November 20, 2005 Scorpius No 325 Libra November 21, 2005 Scorpius No 326 Libra November 22, 2005 Scorpius No 327 Libra November 23, 2005 Sagittarius No 328 Scorpius November 24, 2005 Sagittarius No 329 Scorpius November 25, 2005 Sagittarius No 330 Scorpius November 26, 2005 Sagittarius No 331 Scorpius November 27, 2005 Sagittarius No 332 Scorpius November 28, 2005 Sagittarius No 333 Scorpius November 29, 2005 Sagittarius No 334 Ophiuchus November 30, 2005 Sagittarius No 335 Ophiuchus December 1, 2005 Sagittarius No 336 Ophiuchus December 2, 2005 Sagittarius No 337 Ophiuchus December 3, 2005 Sagittarius No 338 Ophiuchus December 4, 2005 Sagittarius No 339 Ophiuchus December 5, 2005 Sagittarius No 340 Ophiuchus December 6, 2005 Sagittarius No 341 Ophiuchus December 7, 2005 Sagittarius No 342 Ophiuchus December 8, 2005 Sagittarius No 343 Ophiuchus December 9, 2005 Sagittarius No 344 Ophiuchus December 10, 2005 Sagittarius No 345 Ophiuchus December 11, 2005 Sagittarius No 346 Ophiuchus December 12, 2005 Sagittarius No 347 Ophiuchus December 13, 2005 Sagittarius No 348 Ophiuchus December 14, 2005 Sagittarius No 349 Ophiuchus December 15, 2005 Sagittarius No 350 Ophiuchus December 16, 2005 Sagittarius No 351 Ophiuchus December 17, 2005 Sagittarius No 352 Sagittarius December 18, 2005 Capricornus No 353 Sagittarius December 19, 2005 Capricornus No A B Day of Year Astronomy Sign Calendar Day Astrology Sign Does A = B? 354 Sagittarius December 20, 2005 Capricornus No Roy Swanson May 2004 Page 14

15 355 Sagittarius December 21, 2005 Capricornus No 356 Sagittarius December 22, 2005 Capricornus No 357 Sagittarius December 23, 2005 Capricornus No 358 Sagittarius December 24, 2005 Capricornus No 359 Sagittarius December 25, 2005 Capricornus No 360 Sagittarius December 26, 2005 Capricornus No 361 Sagittarius December 27, 2005 Capricornus No 362 Sagittarius December 28, 2005 Capricornus No 363 Sagittarius December 29, 2005 Capricornus No 364 Sagittarius December 30, 2005 Capricornus No 365 Sagittarius December 31, 2005 Capricornus No Roy Swanson May 2004 Page 15