Heinrich Hertz



FY9/Sun conjunction


>>Heinrich Rudolf Hertz (February 22, 1857 – January 1, 1894) was the German physicist and mechanician for whom the hertz, an SI unit, is named. In 1888, he was the first to satisfactorily demonstrate the existence of electromagnetic waves by building an apparatus to produce and detect VHF or UHF radio waves. Another of his important contributions was to the field of contact deformation and mechanics.

Biography

Early years
Heinrich Rudolf Hertz was born in Hamburg, Germany on February 22, 1857, into a prosperous and cultured Hanseatic family. His father, Gustav Ferdinand Hertz, was a barrister and later a senator. His mother was the former Anna Elisabeth Pfefferkorn. He had three younger brothers and one younger sister.
While studying at the University of Hamburg, he showed an aptitude for sciences as well as languages, learning Arabic and Sanskrit. He studied sciences and engineering in the German cities of Dresden, Munich and Berlin where he studied under Gustav R. Kirchhoff and Hermann von Helmholtz.
In 1880, Hertz obtained his PhD from the University of Berlin; and remained for post-doctoral study under Helmholtz.
In 1883, Hertz took a post as a lecturer in theoretical physics at the University of Kiel.
In 1885, Hertz became a full professor at the University of Karlsruhe where he discovered electromagnetic waves.

Meteorology
Hertz had always had a deep interest in meteorology probably derived from his contacts with Wilhelm von Bezold (he was Hertz's professor in a laboratory course at the Munich Polytechnic in the summer of 1878). Hertz, however, did not contribute much to the field himself except for some early article as an assistant to Helmholtz in Berlin, including research on the evaporation of liquids, a new kind of hygrometer, and a graphical means of determining the properties of moist air when subjected to adiabatic changes.

Contact mechanics
In 1881–1882, Hertz published two articles on what was to become known as the field of contact mechanics. Hertz is well known for his contributions to the field of electrodynamics (see below) however most papers that look into the fundamental nature of contact cite his two papers as a source for some important ideas. Boussinesq published some critically important observations on Hertz's work, nevertheless establishing this work on contact mechanics to be of immense importance. His work basically summarises how two axi-symmetric objects placed in contact will behave under loading, he obtained results based upon the classical theory of elasticity and continuum mechanics. The most significant failure of his theory was the neglect of any nature of adhesion between the two solids, which proves to be important as the materials composing the solids start to assume high elasticity. It was natural to neglect adhesion in that age as there were no experimental methods of testing for adhesion.
To develop his theory Hertz used his observation of elliptical Newton's rings formed upon placing a glass sphere upon a lens as the basis of assuming that the pressure exerted by the sphere follows an elliptical distribution. He used the formation of Newton's rings again while validating his theory with experiments in calculating the displacement which the sphere has into the lens. K. L. Johnson, K. Kendall and A. D. Roberts (JKR) used this theory as a basis while calculating the theoretical displacement or indentation depth in the presence of adhesion in their landmark article "Surface energy and contact of elastic solids" published in 1971 in the Proceedings of the Royal Society (A324, 1558, 301-313). Hertz's theory is recovered from their formulation if the adhesion of the materials is assumed to be zero. Similar to this theory, however using different assumptions, B. V. Derjaguin, V. M. Muller and Y. P. Toporov published another theory in 1975, which came to be known as the DMT theory in the research community, which also recovered Hertz's formulations under the assumption of zero adhesion. This DMT theory proved to be rather premature and needed several revisions before it came to be accepted as another material contact theory in addition to the JKR theory. Both the DMT and the JKR theories form the basis of contact mechanics upon which all transition contact models are based and used in material parameter prediction in Nanoindentation and Atomic Force Microscopy. So Hertz's research from his days as a lecturer, preceding his great work on electromagnetism, which he himself considered with his characteristic soberness to be trivial, has come down to the age of nanotechnology.

Electromagnetic research
Hertz helped establish the photoelectric effect (which was later explained by Albert Einstein) when he noticed that a charged object loses its charge more readily when illuminated by ultraviolet light. In 1887, he made observations of the photoelectric effect and of the production and reception of electromagnetic (EM) waves, published in the journal Annalen der Physik. His receiver consisted of a coil with a spark gap, whereupon a spark would be seen upon detection of EM waves. He placed the apparatus in a darkened box in order to see the spark better; he observed, however, that the maximum spark length was reduced when in the box. A glass panel placed between the source of EM waves and the receiver absorbed ultraviolet radiation that assisted the electrons in jumping across the gap.

When removed, the spark length would increase. He observed no decrease in spark length when he substituted quartz for glass, as quartz does not absorb UV radiation. Hertz concluded his months of investigation and reported the results obtained. He did not further pursue investigation of this effect, nor did he make any attempt at explaining how the observed phenomenon was brought about.
Earlier in 1886, Hertz developed the Hertz antenna receiver. This is a set of terminals that is not electrically grounded for its operation. He also developed a transmitting type of dipole antenna, which was a center-fed driven element for transmission UHF radio waves. These antennas are the simplest practical antennas from a theoretical point of view. In 1887, Hertz experimented with radio waves in his laboratory. These actions followed Michelson's 1881 experiment (precursor to the 1887 Michelson-Morley experiment) which did not detect the existence of aether drift, Hertz altered the Maxwell's equations to take this view into account for electromagnetism. Hertz used a Ruhmkorff coil-driven spark gap and one meter wire pair as a radiator. Capacity spheres were present at the ends for circuit resonance adjustments. His receiver, a precursor to the dipole antenna, was a simple half-wave dipole antenna for shortwaves.
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The experimental apparatus used by Heinrich Hertz to produce and detect electromagnetic waves. The coil in the background on the left produces a high voltage, which feeds an antenna, the two rods with the big spheres at the end, via a spark discharge between the two small spheres at the centre of the rods. This antenna is the prototype of what we call today a Hertzian dipole
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Through experimentation, he proved that transverse free space electromagnetic waves can travel over some distance. This had been predicted by James Clerk Maxwell and Michael Faraday. With his apparatus configuration, the electric and magnetic fields would radiate away from the wires as traverse waves. Hertz had positioned the oscillator about 12 meters from a zinc reflecting plate to produce standing waves. Each wave was about four meters. Using the ring detector, he recorded how the magnitude and wave's component direction vary. Hertz measured Maxwell's waves and demonstrated that the velocity of radio waves was equal to the velocity of light. The electric field intensity and polarity was also measured by Hertz.
The Hertzian cone was first described by Hertz as a type of wave-front propagation through various media. His experiments expanded the field of electromagnetic transmission and his apparatus was developed further by others in the history of radio. Hertz also found that radio waves could be transmitted through different types of materials, and were reflected by others, leading in the distant future to radar.
Hertz did not understand the practical importance of his experiments. He stated that,
"It's of no use whatsoever[...] this is just an experiment that proves Maestro Maxwell was right - we just have these mysterious electromagnetic waves that we cannot see with the naked eye. But they are there."
Asked about the ramifications of his discoveries, Hertz replied,
"Nothing, I guess."
His discoveries would later be more fully understood by others and be part of the new "wireless age". In bulk, Hertz' experiments explain reflection, refraction, polarization, interference, and velocity of electric waves.
In 1892, Hertz began experimenting and demonstrated that cathode rays could penetrate very thin metal foil (such as aluminium). Philipp Lenard, a student of Heinrich Hertz, further researched this "ray effect". He developed a version of the cathode tube and studied the penetration by X-rays of various materials. Philipp Lenard, though, did not realize that he was producing X-rays. Hermann von Helmholtz formulated mathematical equations for X-rays. He postulated a dispersion theory before Röntgen made his discovery and announcement. It was formed on the basis of the electromagnetic theory of light (Wiedmann's Annalen, Vol. XLVIII). However, he did not work with actual X-rays.

Death at age 36
In 1892, an infection was diagnosed (after a bout of severe migraines) and Hertz underwent some operations to correct the illness. He died of Wegener's granulomatosis at the age of 36 in Bonn, Germany in 1894.
His wife, Elizabeth Hertz (maiden name: Elizabeth Doll) did not marry again. Heinrich Hertz left two daughters, Joanna and Mathilde. Subsequently, all three women left Germany in the 1930's to England, after the rise of Adolf Hitler. Charles Susskind interviewed Mathilde Hertz in the 1960's and he later published a book on Heinrich Hertz. Heinrich Hertz's daughters never married and so he does not have any descendants, according to the book by Susskind.

Legacy
His nephew Gustav Ludwig Hertz was a Nobel Prize winner, and Gustav's son Carl Hellmuth Hertz invented medical ultrasonography.
The SI unit hertz (Hz) was established in his honor by the IEC in 1930 for frequency, a measurement of the number of times that a repeated event occurs per unit of time (also called "cycles per sec" (cps)). In 1969 (East Germany), there was cast a Heinrich Hertz memorial medal. The IEEE Heinrich Hertz Medal, established in 1987, is "for outstanding achievements in Hertzian waves [...] presented annually to an individual for achievements which are theoretical or experimental in nature". It was adopted by the CGPM (Conférence générale des poids et mesures) in 1964.
A crater that lies on the far side of the Moon, just behind the eastern limb, is named in his honor. The Hertz market for radioelectronics products in Nizhny Novgorod, Russia, is named after him. The Heinrich-Hertz-Turm radio telecommunication tower in Hamburg is named after the city's famous son.

Nazi revisionism
Although Hertz would not have considered himself Jewish, his "Jewish" portrait was removed by the Nazis from its prominent position of honor in Hamburg's City Hall (Rathaus) because of what was construed as having been "Jewish ancestry." Hertz was a Lutheran; and although his father’s family had been Jewish, his father had been converted to Catholicism before marrying. One additional fact gives this historical moment a poignant clarity. By this point in German history, Hertz himself had been dead for 26 years. The painting has since been returned to public display.<<

http://en.wikipedia.org/wiki/Heinrich_Hertz

Also:

http://chem.ch.huji.ac.il/history/hertz.htm

_____________________________


HERTZ, Heinrich
DoB: 22/2/1857 Time: 06:00 (+0:40 LMT) GMT Time: 05:20
Location: 10E02 53N34 Hamburg (D)
Category: Scientist
Source: Miscellaneous data collections: Astro-Forschungs-Daten Bd.2, Arno M¸ller, 612 Ber¸hmte M”nner

Using RIYAL 3.1

Astrological Setting (Tropical - Placidus)





    RIYAL  Sun February 22 1857  UT 5h20m00s  Lat53n34  Lon10e02   SORT ALL     

Planet
Longitude
Latitude
Declin.
Const.
H.D.
Period
Inclin.
O. Range
Ascend
0Aq07
0n00
20s09
Cap
Bienor
0Aq35
12s20
32s03
Mic
19.7
67
20.7
13.3->19.8
BU48
0Sc40 r
14n10  
1n35
Vir
43.8   
191
14.3
20.3->46.0
Hylonome
1Le21 r
3s29
16n29
Cnc
20.9
125
4.2
18.9->31.2
Pelion
1Ca30 r
5s08  
18n20
Ori    
22.7
90
9.4
17.5->22.7
DA62
1Cp34
41s24
64s50
Pav
5.5
21
52.3
4.1->11.2
YQ179
2Ar04
20s01
17s29
Cet
99.9
844
20.9
37.7->140.
Thereus
2Pi12
14n42
3n03  
Peg
9.5
38
20.2
8.9->13.7
Radamantus
2Aq43
11s27
30s41  
Mic
43.7
244  
12.7
33.0->45.1
Elatus
2Cp50
0s04
23s30
Sgr
12.1
45  
5.5
7.5->17.9
SB60
2Le54 r
11s03
8n45
Cnc  
42.5
272
23.9
37.7->46.4
Okyrhoe
3Ta00
10s45
2n25  
Cet
8.3
23
15.8  
6.0->10.4
VQ94
3Ar12
53s59
46s48
Phe
137.7  
2624
70.0
6.9->373.6
QD112  
3Ge34
13n23
34n00
Per
26.2  
83
14.5
8.0->30.1
Sun  
3Pi35
0n00
10s12
Aqr   
1.0
1
0.0
GQ21
3Ge43
10s38
10n27
Tau
90.2
906  
13.3
38.7->148.
Moon
3Aq45
4s38
23s49
Cap
1.0
0
5.2
LE31
3Ar53
24s31
20s52
Cet
7.7
23
152.6
4.3->11.9
Pluto
3Ta55
16s19
2s33
Cet
49.2  
250
17.1
30.1->49.3
FY9  
4Pi02
27s39
35s28
Scl
39.3
310
29.0
38.2->53.4
Midheav
4Sa06
0n00
20s59
Sco
SA278
4Aq20
11n27
8s03
Aql
110.6
894  
16.2
33.1->152.
Asbolus
5Ta00
9n43
22n20
Ari  
13.5  
77
17.6
6.9->29.2
Eris  
5Pi15
39s05
45s03
Phe
84.0  
560
43.9
38.4->97.5
OO67
5Sc50 r
19n30
4n58
Vir
135.0
13518
20.1
20.4->1114
96PW
5Vi50 r  
7n25
16n16
Leo
138.8
3527
30.2
2.4->461.0
GV9
6Ar19
19n12
20n03
Peg
45.2
274
22.0
39.3->45.2
RP120
6Sc28 r    
1s59
15s33
Vir
102.6
416
120.1
2.5->108.9
Node
6Ar36 r  
0n00
2n37
Psc
Mercury
6Aq56
0n28
18s07
Cap
0.4
0
7.0
Vertex
7Vi02
RN43
7Le03 r
16s46
2n17
Hya
42.1
268
19.3
40.5->42.6
Pylenor
7Ar11
4s08
0s56
Cet  
14.3
69
5.5
11.7->21.9
TO66
7Vi20 r
8n19
16n32
Leo
41.7   
284  
27.5
38.2->48.2
Saturn
7Ca29 r
0s27
22n48  
Gem
9.0
30
2.5  
Chiron
8Aq15
6n32
11s55
Aqr
14.3
49
7.0
8.4->18.3
Chariklo
8Ta42
22n20
35n22
And
17.6
63
23.4
13.2->18.5
Nessus
8Ca46 r
15n21
38n29
Aur
19.3
122
15.6
11.8->37.4
CF119
9Ar22
18n15
20n25
Peg  
95.9
848
19.7
39.2->139.
CY118
9Ta24
22s12
6s28
Eri
97.5
866
25.5
35.1->146.
EL61
9Ar36
26s16
20s16
Cet
34.8
287
28.2
34.7->52.3
Deucalion
9Ta54
0s04
14n44
Ari  
44.8
296
0.4
41.7->47.1
QB1  
9Li55 r
0s27
4s20
Vir
46.9  
289
2.2
40.5->46.9
Typhon
10Aq06
1s32
19s12
Cap
54.5
232
2.4  
17.6->58.0
GM137
10Ge32
4s34
17n31
Tau
8.3
23
15.6
7.2->9.0
CR105
10Pi40
13s13
19s45
Aqr
92.3
3469
22.8
44.3->414.
OM67
10Li43 r
17s11
19s58
Crv
91.0
964
23.4
38.8->156.
Jupiter
10Ar47
1s08
3n14
Psc
5.0
12
1.3
Crantor
11Pi13
8s51
15s32
Aqr
22.2
86
12.8  
14.2->24.8
CE10
11Sc30 r
34s14
47s14
Cen
13.8
31
145.4
2.1->17.5
MS4
11Ge38
11s27
10n51
Ori
35.7
273  
17.7
35.7->48.4
XX143
11Le50 r
3n35
20n42
Cnc
26.2
76
6.8
9.6->26.3
Quaoar
11Ge52r
7s22
14n56
Ori
43.2
288
8.0
41.9->45.3
BL41
12Sc06r
12s28
27s18
Hya
12.5
31
13.3
7.1->12.6
TX300
12Vi18 r
9s24
1s44   
Sex
46.9
283
25.9
37.8->48.5
MW12
12Ca23r
21s26
1n32
Mon
45.5
311
21.5
39.3->52.5
Ceto
12Pi25
3n02
4s06
Aqr
106.8
1026  
22.2
18.0->185.
PA44
13Ge06r
2s22
20n03
Tau
18.2  
52
3.3
3.4->24.6
XR190
13Aq20
42n37
24n05
Vul
60.6
435
46.7
53.0->61.7
RD215
15Sc08r
7n48
8s56
Lib  
97.7
1345  
26.1
37.2->206.
VU2
15Li32 r
13s56
18s55
Crv
6.7
18
13.8
3.1->10.7
FZ53
16Ar03
1n52
8n02
Psc  
22.9
117
34.8
12.5->35.3
UX25
16Sc05r
7n39
9s19
Lib
43.5
277
19.5
36.4->48.5
CO104
16Ta14
2n32
19n08
Ari
23.0
119
3.1
20.7->27.7
PB112
17Sc04r
12s15
28s39
Hya
105.5
1111
15.5  
34.9->179.
PJ30
17Ca14r
0n25
22n45
Gem
94.6
1351
5.6
28.8->215.
Apogee
18Li30 r
1s05
8s15
Vir
TD10
18Li53 r
1n36
5s55
Vir   
115.0
926
6.0
12.0->178.
Orcus
19Sa02
3s21
26s21
Oph
36.3
246
20.6
30.4->48.1
RG33
19Ge06r
33n09
56n00
Cam
12.1
29
35.8
2.2->16.8
OX3
19Ca10r
1s30
20n36
Gem
21.8
183
3.2
17.5->46.9
XA255
19Cp14
0s26
22s31
Sgr
16.3
161
12.7
9.4->49.9
Neptune
19Pi30
1s06
5s11
Aqr
29.9
166
1.8
Teharonhi
19Le38 r
0s48
14n11
Leo
43.1  
292
2.6
42.9->45.1
TY364
19Vi47 r
13n42
16n37
Leo
36.7
241
24.9
36.2->41.2
Venus
19Ar54
1n36
9n16
Psc
0.7
1
3.4
QB243
20Ta11
6n42
24n15
Ari
49.8
205
6.8
15.4->54.2
TC302
20Cp39
34s41
55s55
Tel
71.5
411  
35.0
39.1->71.5
UJ438
21Ar01  
3n06
11n05
Psc
12.1
75
3.8
8.3->27.2
Uranus
21Ta17
0s15
17n51
Ari  
19.5  
85
0.8
OP32
21Ca20r
25s58
3s55
Mon
46.5
285
27.2
38.9->47.7
RL43
21Cp42
9n16
12s33
Sgr
23.6
121
12.3
23.4->25.6
KX14
21Ar47
0n23
8n51
Psc
37.2  
245
0.4  
37.0->41.2
AZ84
21Sa50
2n25
20s47
Oph
32.4   
247
13.6  
32.4->46.3
Ixion
22Ge05r  
5n10
28n23
Tau
35.0
251  
19.6
29.9->49.6
Huya
22Ar45
9s12
0n18
Cet
47.8
250
15.5
28.9->50.4
UR163
23Vi06 r
0s37
2n11
Vir
52.6
367
0.7
36.8->65.8
HB57
23Ge15r
14s28
8n50
Ori
113.0
2015
15.5
38.5->280.
Varuna
23Sa25
4n00
19s18
Oph
43.3
281
17.2
40.4->45.3
Chaos
23Sa41
6s51
30s09
Sco
50.0
308
12.1
40.8->50.4
XZ255
23Pi46
2s26
4s43
Aqr  
15.3
64
2.6
15.3->16.7
RR43
24Li15 r
25n39
14n28
Boo
48.9
282  
28.5
36.9->49.2
VS2
24Li25 r
14s53
23s15  
Hya
41.9
246
14.8
36.1->42.4
RZ214
24Li27 r
3s13  
12s28
Vir
83.7
772
20.6
36.3->132.
TL66
24Sa33
18n17
5s05
Oph
92.5
763
24.1
34.8->132.
Echeclus
24Le42 r
2s12
11n13
Leo
15.1   
34
4.4
5.7->15.2
Amycus
25Ge11r
9n51
33n12
Aur
23.7
126
13.3
15.3->34.9
CC22
25Pi15
0s33
2s23
Psc
9.4
20
11.1
5.4->9.4
Pholus
25Cp22
1n28
19s39
Sgr
31.7
91
24.7
8.7->31.8
VR130
25Sa29
3n28
19s55
Sgr
28.0
117
3.5  
14.7->33.1
AW197
25Pi48
21n12
17n44
Peg
50.3   
327
24.4
41.6->53.4
WL7
25Li49 r
4s09
13s51
Vir
22.6
90
11.2
14.9->25.3
KF77
26Vi18 r
1n20
2n42
Vir
25.9
132
4.3
19.7->32.0
GZ32
26Ge25r
4s36
18n48
Ori
28.0  
111
15.0
18.1->28.0
FP185  
26Ta43
27s16
7s09
Eri  
117.5  
3205  
30.7
34.7->400.
GB32
27Ge18r
14s14
9n12
Ori
121.9
2968
14.2
35.7->377.
DH5
27Aq33
3n05
9s26
Aqr
28.6
104
22.5
14.0->30.1
RM43  
28Sa01
2s37
26s04  
Sgr
96.9
865
28.9
34.9->146.
Sedna
28Pi06
7s01
7s11  
Cet
151.7
12390  
11.9
76.8->994.
Logos
28Aq18
0s51
12s52
Aqr
48.9
306
2.9  
40.0->50.7
WN188
28Aq32
12s01
23s13
Aqr
23.3
54
26.9  
2.2->26.4
CZ118  
28Ge47r
26n54
50n21
Aur
114.3
1234
27.8
38.1->192.
Cyllarus
29Pi10
9s09
8s43
Cet  
16.3
136
12.6
16.3->36.6
PN34
29Ta16
13n53
33n32
Per
30.8   
174
16.6
13.4->48.9
FZ173
29Ta25
10n59
30n45
Per  
98.7
792
12.7
32.9->138.
SQ73
29Ar25
5n15
16n11
Ari
16.5
75  
17.5
14.7->20.8
CO1
29Pi32
18s38
17s14
Cet
29.8
94
19.7
11.0->30.4
RZ215
29Vi48 r
9s17
8s26
Crt
101.2  
1015
25.6
30.6->171.
QF6  
29Vi51 r
14n37
13n26
Vir
10.3
19
23.8
2.2->12.1
Mars
29Pi55
0s36
0s35
Psc
1.4  
2
1.9

Focused Minor Planets

FY9      =    4 Pi 02
Eris      =    5 Pi 15
Sun      =   3 Pi 35

Moon    =  3 Aq 45          Semisextile
SA278  =   4 Aq 20

Venus  = 19 Ar 54          Semisquare

Pluto    =   3 Ta 55          Sextile
Asbolus =  5 Ta 00

OO67    =  5 Sc 50 r        Trine

Midheav  =  4 Sa 06        Square
GQ21      =  3 Ge 43
______________________


OO67     =   5 Sc 50 r
Asbolus  =  5 Ta 00

Mercury  =  6 Aq 56      Square
RN43       =  7 Le 03 r

Orcus    = 19 Sa 02      Semisquare
TY364    = 19 Vi 47 r    

Node      =   6 Ar 36 r     Quincunx
GV9       =   6 Ar 19
____________________


Orcus    =  19 Sa 02

Venus    =  19 Ar 54       Trine

Neptune  = 19 Pi 30      Square
TY364    =  19 Vi 47 r   

OO67     =     5 Sc 50 r   Semisquare
_____________________


Sedna    =   28 Pi 06
Mars      =   29 Pi 55
Cyllarus  =   29 Pi 10
RZ215    =   29 Vi 48 r

FZ173    =   29 Ta 25       Sextile

Logos    =   28 Aq 18      Semisextile

CZ118   =   28 Ge 47 r    Square
GB32    =   27 Ge 18 r
RM43    =   28 Sa 01
______________________    


EL61     =    9 Ar 36
CF119   =    9 Ar 22
Jupiter = 10 Ar 47
QB1      =    9 Li 55 r

Deucalion =  9 Ta 54      Semisextie
CY118     =    9 Ta 24
Chariklo  =    8 Ta 42

Typhon    =  10 Aq 06     Sextile

Nessus   =    8 Ca 46 r   Square
_____________________


RN43     =  7 Le 03 r
Mercury  =  6 Aq 56
Chiron   =   8 Aq 15

Saturn   =  7 Ca 29 r      Semisextile

Ixion      = 22 Ge 05 r     Semisquare
_____________________


Ixion      =   22 Ge 05 r
Varuna  =  23 Sa 25
Chaos   =  23 Sa 41

Uranus  =  21 Ta 17      Semisextile

RN43      =    7 Le 03 r   Semisquare
_____________________


FP185    = 26 Ta 43

Jupiter = 10 Ar 47       Semisquare

AW197  =  25 Pi 48       Sextile

GB32     =  27 Ge 18 r   Semisextile
___________________________
___________________________


Astrological Setting (Sidereal - Fagan/Bradley)


    RIYAL  Sun February 22 1857  UT 5h20m00s  Lat53n34  Lon10e02   SORT ALL     
Planet
Longitude
Huya         
0Ar01
UR163      
0Vi21 r
HB57       
0Ge30 r
Varuna      
0Sa40
Chaos      
0Sa56
XZ255      
1Pi01
RR43        
1Li30 r
VS2          
1Li40 r
RZ214      
1Li42 r
TL66       
1Sa48
Echeclus   
1Le58 r
Amycus       
2Ge26 r
CC22       
2Pi30
Pholus     
2Cp38
VR130      
2Sa44
AW197      
3Pi03
WL7        
3Li04 r
KF77       
3Vi33 r
GZ32      
3Ge40 r
FP185      
3Ta58
GB32       
4Ge33 r
DH5        
4Aq49
RM43       
5Sa16
Sedna      
5Pi21
Logos      
5Aq34
WN188      
5Aq47
CZ118       
6Ge03 r
Cyllarus   
6Pi25
PN34       
6Ta31
FZ173      
6Ta40
SQ73       
6Ar40
CO1        
6Pi48
RZ215      
7Vi03 r
QF6        
7Vi07 r
Mars       
7Pi10
Ascend     
7Cp22
Bienor     
7Cp50
BU48       
7Li55 r
Hylonome    
8Ca36 r
Pelion      
8Ge46 r
DA62       
8Sa49
YQ179      
9Pi20
Thereus    
9Aq27
Radamantus  
9Cp59
Elatus    
10Sa06
SB60       
10Ca09r
Okyrhoe   
10Ar16
VQ94      
10Pi27
QD112     
10Ta49
Sun       
10Aq50
GQ21      
10Ta59
Moon      
11Cp01
LE31      
11Pi09
Pluto     
11Ar10
FY9       
11Aq17
Midheav   
11Sc21
SA278     
11Cp35
Asbolus   
12Ar16
Eris      
12Aq30
OO67     
13Li05 r
96PW        
13Le05 r
GV9       
13Pi34
RP120     
13Li43 r
Node      
13Pi51 r
Mercury   
14Cp11
Vertex    
14Le18
RN43         
14Ca18r
Pylenor   
14Pi26
TO66      
14Le36 r
Saturn     
14Ge44r
Chiron    
15Cp30
Chariklo   
15Ar57
Nessus      
16Ge01r
CF119     
16Pi37
CY118     
16Ar40
EL61      
16Pi51
Deucalion  
17Ar09
QB1       
17Vi10 r
Typhon    
17Cp21
GM137     
17Ta47
CR105     
17Aq56
OM67       
17Vi58 r
Jupiter    
18Pi02
Crantor    
18Aq28
CE10      
18Li45 r
MS4       
18Ta53
XX143      
19Ca05r
Quaoar    
19Ta07 r
BL41      
19Li21 r
TX300     
19Le33 r
MW12       
19Ge38r
Ceto      
19Aq40
PA44        
20Ta21 r
XR190     
20Cp35
RD215     
22Li23 r
VU2        
22Vi47 r
FZ53      
23Pi18
UX25      
23Li20 r
CO104     
23Ar29
PB112     
24Li20 r
PJ30        
24Ge30r
Apogee    
25Vi45 r
TD10       
26Vi08 r
Orcus     
26Sc17
RG33      
26Ta21 r
OX3        
26Ge26r
XA255     
26Sa29
Neptune   
26Aq45
Teharonhi  
26Ca53r
TY364     
27Le03 r
Venus     
27Pi09
QB243     
27Ar26
TC302     
27Sa55
UJ438     
28Pi16
Uranus    
28Ar32
OP32      
28Ge35r
RL43      
28Sa58
KX14      
29Pi02
AZ84      
29Sc05
Ixion     
29Ta21 r

Focused Minor Planets

FY9        =  11 Aq 17
Eris        = 12 Aq 30
Sun        = 10 Aq 50

Moon     = 11 Cp 01      Semisextile
SA278   = 11 Cp 35

Venus   = 27 Pi 09       Semisquare

Pluto     = 11 Ar 10        Sextile
Asbolus = 12 Ar 16

OO67     = 13 Li 05 r     Trine

Midheav = 11 Sc 21       Square
GQ21     = 10 Ta 59
_____________________


OO67     =  13 Li 05 r
Asbolus  =  12 Ar 16

Mercury  =  14 Cp 11     Square
RN43       =  14 Ca 18 r

Orcus     =   26 Sc 17     Semisquare
TY364     =   27 Le 03 r  

Node       =   13 Pi 51 r    Quincunx
GV9        =    13 Pi 34
____________________


Orcus    =    26 Sc 17

Venus    =    27 Pi 09      Trine

Neptune = 26 Aq 45     Square
TY364     =   27 Le 03 r  

OO67      =  13 Li 05 r     Semisquare
____________________


Sedna    =    5 Pi 21
Mars      =    7 Pi 10
Cyllarus  =    6 Pi 25
RZ215    =    7 Vi 03 r

FZ173    =    6 Ta 40        Sextile

Logos    =     5 Aq 34     Semisextile

CZ118   =    6 Ge 03 r    Square
GB32     =   4 Ge 33 r
RM43     =    5 Sa 16
______________________


EL61     =   16 Pi 51
CF119   =   16 Pi 37  
Jupiter =   18 Pi 02
QB1       =  17 Vi 10 r

Deucalion = 17 Ar 09      Semisextie
CY118    =    16 Ar 40  
Chariklo  =   15 Ar 57

Typhon    =   17 Cp 21     Sextile

Nessus   =   16 Ge 01 r   Square
____________________


RN43      =    14 Ca 18 r
Mercury  =  14 Cp 11
Chiron    =    15 Cp 30

Saturn   =    14 Ge 44 r  Semisextile

Ixion     =      29 Ta 21 r   Semisquare
______________________


Ixion     =    29 Ta 21 r
Varuna  =      0 Sa 40
Chaos   =     0 Sa 56

Uranus  =   28 Ar 32       Semisextile

RN43     =    14 Ca 18 r   Semisquare
_____________________


FP185    =   3 Ta 58

Jupiter = 18 Pi 02        Semisquare

AW197   =  3 Pi 03       Sextile

GB32     =   4 Ge 33 r    Semisextile
_________________________________________

Posted to Centaurs (YahooGroups) on February 20, 2008

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