Alexander Soleny

Nobel Prize Laureates: astrological statistics

Objective provable astrology

This article continues the theme started in articles about anomalous asteroids LD31 and LE31: research of statistical regularities in cosmograms of eminent persons.

By means of elementary astrological criteria it's shown how close to zero is probability of assumption that moments of births of Nobel Prize winners are random.

Assume probability P of an elementary event S is known. If we have a set of independent cases E_i , then probability of occasion our event S will occur in all A cases of A possible, will be P^A. Next step in same direction: what's probability of: given event S will occur in exactly N cases of A? It's computed using this formula:

V = P^N ∙ (1-P)^A-N ∙ A!  / ( N! ∙ (A-N)! )                       (1)

More about statistical methods used - see appendix 1, conclusions - here.

Consider the following criterion:

angular distance between Sun and Saturn (when observing from Earth) has one of these values:

360 / 1 = 360 = 0 degrees

360 / 2 = 180 degrees

360 / 3 = 120 degrees

360 / 4 = 90 degrees

360 / 5 = 72 degrees

360 / 6 = 60 degrees

360 / 8 = 45 degrees

plus-minus three degrees. I.e. maximum permissible deviation (further - «tolerance» or «orb») is 3 degrees.

As Saturn coordinate, projection of observed position on ecliptic is taken, and Sun is always in ecliptic plane, by definition. The angle is always less or equal to 180 degrees (further- «aspect»), i.e. in this research no difference was made between arcs (180+x) and (180-x) degrees.

If we take all moments of time between 01.01.1820 and 01.01.1960 with step 3 hours (further - «background»), then 83326 of 409072 will satisfy this criterion. Probability that a random moment of time from this 140-year interval will satisfy criterion is
P= 83326/409072 = 0,203695193,

since

1)     when decreasing step to 1,5 hours, the value of P varies very little, and

2)     on all 14 intervals with length 10 years the value of P varies very small, see appendix 2.

Let's take all 89 moments of birth of Nobel Peace Prize laureates. Only 4 of them satisfy this criterion, see appendix 4. Probability that among 89 random moments of time only 4 or less will satisfy criterion (further - «corresponding probability», c.p.) according to formula 3 is

c.p. ≈ 1 / 50393

«Corresponding», in addition, in the sence that every ternary (criterion, background, data) corresponds to one value of probability.

Since time of birth is not known, it's supposed to be 12:00 local time in all cases.

Consider similar criterion: same set of aspects, and same tolerance, 3 degrees, but «equatorial aphelion» is taken instead of Saturn: point of maximal amotion of Earth from Solar equator plane. When Sun is in this point, magnetic storms on Earth are minimal on average.

«Equatorial aphelion» moves very slowly, mainly as a result of precession. Saturn orbital period is about 29,4 years, and «equatorial aphelion» in 1820…1960 is practically immovable: 164 degrees from point of vernal equinox (in Northern hemisphere). Angle between ecliptic and Solar equator plane is about seven degrees.

Thus, criterion-2: angular distance between Sun and «equatorial aphelion» has one of these values:

360 / 1 = 360 = 0 degrees

360 / 2 = 180 degrees

360 / 3 = 120 degrees

360 / 4 = 90 degrees

360 / 5 = 72 degrees

360 / 6 = 60 degrees

360 / 8 = 45 degrees

plus-minus three degrees.

Background is defined absolutely similarly. Probability that a random moment of time will satisfy criterion-2 is  P= 82028/409072 = 0,200522157 .

Oscillations of P for criterion-2 in different years are insignificantly small, see appendix 3.

P is not equal to 0,2 only because of eccentricity of Earth orbit. Sectors of ecliptic having one of aspects of criterion-2 set   to given point, with orb 3 degrees have total length 72 degrees.

Take all 89 moments of birth of Nobel Peace Prize laureates. Only 3 of them satisfy this criterion, see appendix 4. With formula 3 we get

c.p. < 1 / 216787

Thus, it's very unlikely that moments of birth of Nobel Peace Prize laureates are random.

In the majority of other cases c.p. is only slightly less than 1/2, see appendix 5. For other criteria or data. 9∙17-45 pairs «object-1 - object-2» were checked, and for each pair -  three variants of orb (1, 2 and 3 degrees), and three variants of set of aspects: first six aspects plus 1/7; six plus 1/8; plus 1/7 and 1/8; exactly these 8 aspects astrology postulates the most significant. Thus 108∙3∙3=972 values of c.p. were checked.

Quite another type of criterion is also possible. Consider the following criterion-3: Ascending node of Moon orbit (crosspoint of Moon orbit and ecliptic) has at least one aspect 360 ∙ 1/7 ≈ 51,43 degrees with orb 2 degrees to objects: Sun, Moon, Mercury, Venus, Mars, Jupiter, Saturn.

Exactly such standard set of 7 objects is called «Septener» in astrology.

Background is defined absolutely similarly. Probability that a random moment of time will satisfy criterion-3 is  P= 59718/409072 = 0,145984081 .

Take all 677 moments of birth of Nobel Prize laureates (actually 681, but in four cases date of birth is not known). Only 61 of them satisfy this criterion-3. With formula 3 we get

c.p. < 1 / 120912

The youngest to moment of Prize winning laureate was 25 years (William Lawrence Bragg, Prize in physics, 1915), while oldest - 88 years (Raymond Davis Jr., Nobel Prize in physics, 2002).

But the majority of laureates were, of course, between 45 and 75. Therefore even longitude of Saturn at laureates birth moment is random, regardless of the year of Prize winning: Saturn period is about 29,4 years, Jupiter - 12 years, and the remaining five objects of septener - less than three years. Ascending node of Moon - about 18,6 years.

Criterion-4: the same set of aspecting objects, and the same orb 2 degrees, but aspect 1/4, and aspected object - asteroid Quaoar discovered in 2002, the biggest of known asteroids (radius is slightly less than that of Pluto, masses are unknown).

Background: P= 55874/409072 = 0,136587202

Data: all 677 Nobel Prize laureates. 133 of them satisfy criterion-4. Excess of background.

With formula 2 we get

c.p. < 1 / 99103

Eccentricity and inclination of the orbit of Quaoar are small enough, therefore its orbit is close to a circle in ecliptic plane, and longitude (projection on ecliptic) moves uniformly enough, with speed close to constant and period about 282 years.

CONCLUSIONS:

1. Significant statistical regularities in moments of Nobel laureates births were found.

2. The most significant regularities were revealed in groups

a) all laureates of Nobel Peace Prize;

b) all Nobel Prize laureates (all 5 nominations: chemistry, physics, medicine, literature, Peace Prize) in one group;

with use of formula (1) and astrological criteria like

a) Object-1 - standard set of aspects - Object-2

b) Object-1 - aspect - standard set of objects

For criteria like "object - sector of ecliptic", and length of sector is 30 degrees, regularities are also visible, but less significant.

Author does not know any other researches of Nobel Prize laureates with use of astrological statistics. However, it's possible that they exist. Not known even works using formula (1).

Only one article is known researching not distribution of objects in signs or houses, but only aspects between them: http://www.isarastrology.com/policestudy.html

I shall be very thankful for links to other similar researches, for verification of results stated, for other databases: all laureates of Prize ***, all world, Europe or olympic champions in *** and so on.

Many thanks to George Telezhko and Anatoly Zaytsev for serious remarks on preliminary versions of this article.

This first article on Nobel laureates is written mainly for non-astrologers, hence are the style, conclusions, and many more. For example, it's not important now that correlation may be indirect:

A (astrological criterion) →  N (not known) → P (Nobel Prize)

It's more important that correlation and its statistical confirmation do exist.

From point of view of astrology these conclusions could also be made:

1. Position of Earth relative to Solar equator plane is an important astrological factor.

2. In many cases it's not so important, what's the aspect between objects A and B, it's more important that aspect exists.

3. In some cases it's not so important, what object makes aspect S to given object A, it's more important that object A has aspect S.

My answers to some questions frequently asked by (russian) astrologers.

About "control groups": I think it's not correct to take from set of all possible groups with same number of records N, as in researched group, only few groups (with pseudo-random numbers generator), ignoring all other. Since the range of dates in researched group is finite, the number of "control groups" - is also finite, whatever the minimal time step is: minute, second or other.

About signs and houses: I consider it incorrect to use only signs, not using houses, or vice versa, to use only houses, not using signs. Either both signs and houses, or neither signs nor houses.

Answer to those who think that statistics can't be applied to astrology for serious principle reasons: it's equal to statement that any information can be written in the chart via any method (and even more: no method is better nor worse than any other). If exists information that can be recorded in chart with only finite number of methods, this is verifiable, and statistics is applicable to astrology.

My answer to «What is astrology?» question is here: http://ukr-inter.net/~sasha/c/about.txt

Appendix 1. About statistical methods used.

Assume probability P of an elementary event S is known. If we have a set of independent cases E_i , then probability that our event S will occur in all A cases of A possible, will be P in A power:            P^A

For example, we have a hexagon brick, one of sides is marked with letter Z.  Assume probability P of event «when throwing brick with rotation it drops with Z up» is known: P=1/6. If we conduct an experiment «20 drops», then probability that  event «Z up» will occur in all 20 cases is 1/6²⁰.

               Next step in same direction: what's probability of given event S will occur in exactly N cases of A? It's computed using this formula:

                                                                          V = P^N ∙ (1-P)^A-N ∙ A!  / ( N! ∙ (A-N)! )                       (1)

For example with brick: probability that event «Z up» will occur in 9 cases of 20, by formula (1) is V = (1/6)⁹ ∙ (5/6)¹¹ ∙ 20! / (9! ∙ 11!)  ≈ 1 / 445,809269…

               If we see excess over math. expectation: N>A∙P, then probability that event S will occur in N or more cases is computed by summing V_n when n=N…A :

  n=A

   ∑  Pⁿ ∙ (1-P)^A-n ∙ A!  / ( n! ∙ (A-n)! )              (2)

  n=N

               If we get a value lesser than math. expectation: N<A∙P, then probability that event S will occur in N or less cases is computed by summing V_n when n=0…N :

  n=N

   ∑  Pⁿ ∙ (1-P)^A-n ∙ A!  / ( n! ∙ (A-n)! )              (3)

  n=0

For example with brick: probability that event «Z up» will occur in 9 or more cases of 20, by formula (2) is V ≈ 1 / 351,912475…

For N=A∙P and big enough A, sums (2) and (3) are 1/2.

               If we graph dependence of probability that event S will occur exactly N times (Y axis) from N (X axis), it will have form of bell (asymmetric): one peak for N=A∙P, and smooth approach of graph to zero when moving away from peak to both directions on all interval (0,A).

V

0                                           M                                   A        N

For estimation of anomality of value M obtained in experiment ratio of peak height to height of diagram in point N=M can be used. Or ratio of total square of figure under graph (it equals 1) to square of the lesser of two parts obtained as result of separation of figure by segment of N=M line.

Square of lesser part is equal to sum (2) if   M>A∙P,   and to sum (3) if   M<A∙P.

Exactly second method is used in article: dependency from form of peak is less, and, comparing total acres with 1, we estimate precision of computation. For criteria considered in the article ratios of heights:   6377, 26023, 12066, 12041, 5063522,   and ratios of squares:   50392, 216787, 120912, 99103, 53755934.

Function on C programming language, computing corresponding sum using specified A, N and P:

#include "stdio.h"

#include "math.h"

void main(int argc, char *argv[])

{

  double b,p,q,r,z,z2,top,btm;

  int i,c,nn,st,fi,s2,f2,A,N,N0;

  if (argc>1) A=atoi(&argv[1][0]);

  if (argc>2) N=atoi(&argv[2][0]);

  if (argc>3) p=atof(&argv[3][0]);

  if (argc>4) p/=atof(&argv[4][0]);

  q=1-p, N0=N;

  top=pow(2,960);

  btm=pow(2,-960);

#define test_top if (b>top) b/=1048576, c++;

#define test_btm if (b<btm) b*=1048576, c--;

#define count_v \

               if (N<A-N) { \

               for (i=1; i<=N  ; i++) { b=b*p; test_btm }  /* p^N       */ \

               for (i=A; i>A-N ; i--) { b=b*i; test_top }  /* A!/(A-N)! */ \

               for (i=1; i<=N  ; i++) { b=b/i; test_btm }  /*      N!   */ \

               for (i=1; i<=A-N; i++) { b=b*q; test_btm }  /* q^(A-N)   */ \

               } else {                                                                                \

               for (i=1; i<=A-N; i++) { b=b*q; test_btm }  /* q^(A-N)   */ \

               for (i=A; i>N   ; i--) { b=b*i; test_top }  /* A!/N!     */ \

               for (i=1; i<=A-N; i++) { b=b/i; test_btm }  /*    (A-N)! */ \

               for (i=1; i<=N  ; i++) { b=b*p; test_btm }  /* p^N       */ \

               }

               if (N<A*p) st=0,fi=N,s2=N+1,f2=A; else st=N,fi=A,s2=0,f2=N-1;

               for (z=0,nn=st; nn<=fi; nn++)

                              { N=nn, c=0, b=1; count_v  z+=b*pow(1048576,c); }

               for (z2=0,nn=s2; nn<=f2; nn++)

                              { N=nn, c=0, b=1; count_v z2+=b*pow(1048576,c); }

  b=z2+z-1;

  r=pow(2,-44); if (b>r || b<-r) printf("Overflow! %f , %f , %f\n",z,z2,b/r);

               N=A*p, c=0, b=1; count_v z2 =b*pow(1048576,c);

               N=N0,  c=0, b=1; count_v z2/=b*pow(1048576,c);

  printf("\nC.B.=%f, O.B.=%f\n",1/z,z2);

}

The main method of background computation used in article (i.e. math. expectation) is acceptable only if either P varies not much in time, as in criteria 1 and 2, or if dates in researched group are distributed in time uniformly enough: for example, 100 + - 10 dates in any 10-year interval.

But for criteria like 3 and 4 the background varies much: conjunction Saturn-Ascending node of Moon occurs every 11,4 years on average, and conjunction Saturn-Quaoar - every 33,5 years. And besides, as seen from table above, the distribution of laureates birth dates is very irregular.

The most evident, I guess, solution of this problem - is to use this method of background computation: each of 409072 points D_i in our interval 01.01.1820…31.12.1959 is taken with weight W_i , equal to number of laureates in interval (D_i-R, D_i+R). When computing P, obtained for criterion value we divide not by 409072, but by sum of all W_i .

               Such method of background definition can be called «relative background», as it depends on data researched, while «absolute background» with all W_i=1 - does not depend.

Seems evident that the lesser R value, the lesser is difference between data and background, especially in case of such long aspects like Saturn-Quaoar. In geocentric system Saturn moves about 20 degrees forward during a year, and then nearly 8 degrees backwards, so Saturn-Quaoar aspect, taking orb into account, in approximately half of cases occurs 3 times during a year; so R must be at least 2 years.

For criterion-4                 c.p. < 1 / 55651  for R=777 days,

                                           c.p. < 1 / 75835  if R=1777 days.

As shown in appendix 6, Saturn can be excluded from criterion-4.

Besides, for any R the statement from the main part of article is correct: as age of the majority of laureates was between 45 and 75 years, even longitude of Saturn in laureates cosmogram is random*, regardless of the year of winning Prize (and all the more the aspect Saturn-Quaoar: any except 0 and 180 occurs every 16,7 years on average).

Age when receiving Prize (approximate, as difference of year of Prize winning and year of birth):

25…29 years:           1 man,

30…34:                 13        35…39:                 32

40…44:                 52        45…49:                 98

50…54:                 96        55…59:                 92

60…64:                 113      65…69:                 61

70…74:                 65        75…79:                 40

80…84:                 14        85…88:                 8 men.

*For example, distribution of Saturn in twelve 30-degrees sections of ecliptic, counted off from the point of vernal equinox in Northern hemisphere (signs of Zodiac in astrology; do not confuse with constellations of the same name):

46, 55, 45, 57, 66, 56, 49, 58, 66, 62, 71, 46.            c.p.(677, 45, 1/12) ≈ 1 / 16,395…               c.p.(677, 71, 1/12) ≈ 1 / 35,609…

Maximum has Venus: 84 times in Taurus; c.p. ≈ 1/5287.  Minimum has Sun: 35 in Capricorn, but perihelion is also here.

Appendix 4. All 89 laureates of Nobel Peace Prize. Red marks those satisfying criteria 1 and 2.

Appendix 5.

Complete data containing results of criteria 1 and 2 for group “all Nobel Peace Prize Laureates”.

Numbers in the table are 1/c.p. rounded to integers.

Orb 3 degrees, aspects: 1, 1/2, 1/3, 1/4, 1/5, 1/6, 1/8.

Complete data containing results of criteria 3 and 4 for group “All laureates of Nobel Prize”.

Orb 2 degrees, aspecting objects: Sun, Moon, Mercury, Venus, Mars, Jupiter, Saturn.

The following files were used for calculating positions of objects:

Date          Size                   Address

16.12.98  1305686           ftp://ftp.astro.ch/pub/swisseph/ephe/semo_18.se1

16.12.98  484065             ftp://ftp.astro.ch/pub/swisseph/ephe/sepl_18.se1

10.07.03  387072             swedll32.dll from ftp://ftp.astro.ch/pub/swisseph/programs/swewin32.zip

30.11.02  19397                ftp://ftp.astro.ch/pub/swisseph/ephe/ast50/se50000s.se1

20.09.03  23094                ftp://ftp.astro.ch/pub/swisseph/ephe/ast20/se20461s.se1

01.10.02  19718                ftp://ftp.astro.ch/pub/swisseph/ephe/ast47/se47171s.se1

If any of these files is updated or any of four now unknown dates of birth becomes known, the article will be updated.

Appendix 6.

What objects influence the Earth gravitationally stronger than others? Sun, Moon, Jupiter and Venus.
Let's leave only these objects in criterion-4. C.p. decreases to 1 / 584050 .

If we now increase orb to 6 degrees, then c.p. < 1 / 53 755 934 .

Criterion-5: Quaoar has at least one aspect 360 ∙ 1/4 = 90 degrees with orb 6 degrees to objects: Sun, Moon, Venus, Jupiter.

227 records satisfy this criterion, while math. expectation: A∙P= 677∙98497/409072 ≈ 163.

Background-1   (step 3 hours, 1820...1959):            P=98497/409072≈ 0.240781574,                1/c.p. > 53 755 934

Background-1a (step 24 hours, 1820...1959):          P= 12331/51134 ≈ 0.241150702,                1/c.p. > 47 103 653

Relative background, R = 777+11∙N, N = 0...120, step 3 hours:                                         88443 < 0.01/c.p. < 169705

Relative background, R = 777+11∙N, N = 0...120, step 37, 43 and 47 minutes:                89110 < 0.01/c.p. < 172760

If we take as background all those records from database SADC, which are in interval 1500...2000 inclusive:

Background-2   (SADC 1500...2000):                       P= 6897/28827 ≈ 0.239254865,                  1/c.p. > 93 458 063

Background-2a (SADC 1820...1959):                       P= 5932/24658 ≈ 0.240571011,                  1/c.p. > 57 979 586

If we take as background all those records from database AstroLogic, which are in interval 1500...2000:

Background-3   (AstroLogic 1500...2000):              P= 1394/5854 ≈ 0.238127776,                    1/c.p. > 141 565 130

Background-3a (AstroLogic 1820...1959):              P= 1040/4392 ≈ 0.236794171,                    1/c.p. > 233 175 642

Why just 6 degrees? Exactly such orb for aspects 1/1, 1/2, 1/3 and 1/4 is considered "normal" in present-day astrology, see for example http://www.podvodny.ru/Genaspects/Intr.htm ,
http://encyclopedia.astrologer.ru/cgi-bin/guard/O/orbis.html , http://www.diada.ru/txt/aspect.zip .

P, A∙P and N for objects (Background-1):

Sun:                   P = 27235/409072 ≈ 0.0665775218,          A∙P ≈ 45, N = 59,              N₃ = 35

Moon:               P = 27282/409072 ≈ 0.0666924160,          A∙P ≈ 45, N = 56,              N₃ = 34

Venus:               P = 27136/409072 ≈ 0.0663355106,          A∙P ≈ 45, N = 65,              N₃ = 28

Jupiter:              P = 27728/409072 ≈ 0.0677826886,          A∙P ≈ 46, N = 70,              N₃ = 34, Sum = 250, Sum₃ = 131

N₃ is number of aspects if orb is 3 degrees.

From point of view of traditional astrology, the influence of any of these four is more beneficial in general, i.e. is subjectively perceived more harmoniously, than the influence of any of the remaining three:

Mercury:           P = 27197/409072 ≈ 0.0664846286,          A∙P ≈ 45, N = 46,              N₃ = 25

Mars:                 P = 27368/409072 ≈ 0.0669026479,          A∙P ≈ 45, N = 54,              N₃ = 21

Saturn:               P = 24953/409072 ≈ 0.0609990417,          A∙P ≈ 41, N = 47,              N₃ = 25, Sum = 147, Sum₃ = 71

               More precise aspects of Sun and Moon ≈1,5 times more than less precise, but vice versa for Mars.

Another notable fact is that for all 7 objects in the majority of cases the aspect 1/4 was first, not second, i.e. the next aspect between Quaoar and object was opposition, not conjunction:

Sun:                   35 / 24

Moon:               33 / 23

Venus:               33 / 32

Jupiter:              37 / 33

Mercury:           24 / 22

Mars:                 32 / 22

Saturn:               25 / 22

This agrees with the opinion of present-day astrology: first aspect (before opposition) influences greater than second.

One more interesting question: how many days when 2 or more laureates were born?

Let's see what aspects Quaoar had in these days, using the same orb, 6 degrees.

21.05.1843:   0 Sun, 90 Jupiter, Neptune, 120 Saturn, 60 Uranus;  precision: 4°12', 0°54', 4°02', 0°05', 5°51' accordingly;

25.05.1865:   180 Jupiter, 0 Uranus, 120 Saturn, 72 Neptune,                          3°10', 4°36', 0°57', 1°32';

23.03.1881:   180 Moon, 120 Mercury, 72 Jupiter, Saturn,                              5°16', 0°20', 5°10', 2°14',

60 Venus, Neptune, 60 Uranus,              2°09', 0°03', 1°45';

30.10.1895:   0 Jupiter, 90 Sun, Mars, 120 Moon, 45 Neptune,                       4°54', 3°52', 2°27', 0°56', 0°31';

04.01.1940:   180 Jupiter, 0 Neptune, 180 Mars, 90 Mercury,                        5°52', 0°13', 4°37', 1°34'.

For example, this criterion:

Quaoar has at least one conjunction or opposition to Sun, Moon or Jupiter, orb 6 degrees.

Background-1   (step 3 hours, 1820...1959):          P=78234/409072≈ 0.191247507, 1/c.p. = (409072/78234)⁵ ≈ 3909

Background-1a (step 24 hours, 1820...1959):        P= 9794/51134 ≈ 0.191535964, 1/c.p. = (51134/9794)⁵ ≈ 3879

Background-2   (SADC 1500...2000):                     P= 5541/28827 ≈ 0.192215631, 1/c.p. = (28827/5541)⁵ ≈ 3811

Background-2a (SADC 1820...1959):                     P= 4743/24658 ≈ 0.192351367, 1/c.p. = (24658/4743)⁵ ≈ 3798

Background-3   (AstroLogic 1500...2000):            P=   1142/5854 ≈ 0.195080287, 1/c.p. = (5854/1142)⁵ ≈ 3539

Background-3a (AstroLogic 1820...1959):            P=     870/4392 ≈ 0.198087432, 1/c.p. = (4392 / 870)⁵ ≈ 3279

Besides, in all five cases we see

aspect Jupiter-Quaoar: 90, 180, 72, 0, 180,           precision: 0°54', 3°10', 5°10', 4°54', 5°52',

aspect Neptune-Quaoar: 90, 72, 60, 45, 0,             precision: 4°02', 1°32', 0°03', 0°31', 0°13',

and at least 2 more aspects to objects: Sun, Mercury, Mars (two aspects), Saturn, Uranus (three). Aspects from set: 0,180,120,90,72,60, i.e. 1/1, 1/2, 1/3, 1/4, 1/5, 1/6.

"Neighboring" days 14∙2, and 13 of them satisfy criterion-5, it's 46.43%, almost 2 times excess of background.

Besides, in 26 cases there are at least two aspects to objects: Mars, Jupiter, Saturn, Neptune (orb = 6).

Appendix 7.

Good aspects to Quaoar have President and all eight Vice-Presidents of Russian Academy of Sciences (information from 15.11.2003).

Aspects of Quaoar:
07.07.1936          90 Jupiter, 180 Saturn, 60 Sun, Venus;       precision:  2°49', 3°16', 4°20', 2°10'
28.02.1936          90 Jupiter, 120 Moon                                                   1°29', 3°05'
15.03.1930          90 Jupiter, 120 Saturn, 180 Mercury                            3°26', 1°57', 3°48'
10.12.1939          180 Jupiter, 0 Neptune, 60 Mercury                             3°36', 0°16', 2°25'
15.01.1936          120 Sun,                                     90 Jupiter, Venus            3°08',   6°20'
01.01.1950          90 Sun, 120 Jupiter, 120 Moon, 0 Mars                       2°50', 0°58', 1°33', 5°12'
12.01.1930          90 Moon, 120 Venus, Mars,       90 Jupiter                     1°35', 1°36', 3°15',   6°48'
16.11.1951          180 Jupiter, 0 Saturn, Venus, 60 Mercury, 45 Sun        4°48', 1°41', 2°48', 2°24', 1°11'
04.11.1934          45 Jupiter, Venus, Mercury,    Sun                                 0°49', 3°10', 4°07',   6°49'
If orb=7 degrees, in all 9 cases there are aspects Jupiter-Quaoar: 90, 90, 90, 180, 90, 120, 90, 180, 45.

Among 20 Presidents of American National Academy of Sciences nine satisfy criterion-5:

(!) - date of birth not found on the main site ( britannica.com ), so it's taken from another site.

9 of 20 is 45%, much more than even for Nobel Laureates (33%, and math. expectation: 24%).