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The riddle in the planetary movements

 

 

Siamak Zandpour

 

During my research works I came by chance upon the following results.    

There is a strange but interesting phenomena in the movements of the planets.

 

The table below is just an example of what data has been used. Here the geo centric daily longitude of Jupiter, Saturn and Pluto are taken from the Swiss ephemeris. There are given with up to 13 decimal places.

 

 

Date Jupiter p6 Saturn p7 Pluto p10 p6- p7 p6 - p10 p7 - p10 Result 1

p6,p7

 Result 2

p6,p10

 Result 3

p7,p10

 result 1 + result 2 + result 3
 1953 /03 /24  49.7784420059293 205.5369731714510 141.1554172714780 204.2414688344780 268.6230247344510 64.3815558999730 65.7585311655217 1.3769752655487 25.6184441000270 92.7539505310974
 1953 /03 /25  49.9759160868677 205.4687641245010 141.1385499389110 204.5071519623670 268.8373661479570 64.3302141855900 65.4928480376333 1.1626338520433 25.6697858144100 92.3252677040866
 1953 /03 /26  50.1746908216351 205.3997464680380 141.1220191729180 204.7749443535970 269.0526716487170 64.2777272951200 65.2250556464029 0.9473283512829 25.7222727048800 91.8946567025658
 1953 /03 /27  50.3747387848956 205.3299568705220 141.1058308804490 205.0447819143740 269.2689079044470 64.2241259900730 64.9552180856264 0.7310920955534 25.7758740099270 91.4621841911068
 1953 /03 /28  50.5760348588969 205.2594336879880 141.0899923965590 205.3166011709090 269.4860424623380 64.1694412914290 64.6833988290911 0.5139575376621 25.8305587085710 91.0279150753242
 1953 /03 /29  50.7785559425902 205.1882167013940 141.0745122264690 205.5903392411960 269.7040437161210 64.1137044749250 64.4096607588038 0.2959562838788 25.8862955250750 90.5919125677576
 1953 /03 /30  50.9822806173553 205.1163467888490 141.0593997299380 205.8659338285060 269.9228808874170 64.0569470589110 64.1340661714937 0.0771191125827 25.9430529410890 90.1542382251654
 1953 /03 /31  51.1871886765103 205.0438654650440 141.0446646700120 206.1433232114660 270.1425240064980 63.9992007950320 63.8566767885337 0.1425240064983 26.0007992049680 90.0000000000000
 1953 /04 /01  51.3932604651852 204.9708142738140 141.0303165979170 206.4224461913710 270.3629438672680 63.9404976758970 63.5775538086288 0.3629438672682 26.0595023241030 90.0000000000000
 1953 /04 /02  51.6004761069567 204.8972341168590 141.0163641561850 206.7032419900980 270.5841119507720 63.8808699606740 63.2967580099023 0.5841119507717 26.1191300393260 90.0000000000000
 1953 /04 /03  51.8088147547786 204.8231646529280 141.0028144323620 206.9856501018510 270.8060003224170 63.8203502205660 63.0143498981494 0.8060003224166 26.1796497794340 90.0000000000000
 1953 /04 /04  52.0182539593252 204.7486438239030 140.9896724405950 207.2696101354220 271.0285815187300 63.7589713833080 62.7303898645778 1.0285815187302 26.2410286166920 90.0000000000000
 1953 /04 /05  52.2287692444000 204.6737075998560 140.9769408051140 207.5550616445440 271.2518284392860 63.6967667947420 62.4449383554560 1.2518284392860 26.3032332052580 90.0000000000000
 1953 /04 /06  52.4403340086681 204.5983900425610 140.9646197790860 207.8419439661070 271.4757142295820 63.6337702634750 62.1580560338929 1.4757142295821 26.3662297365250 90.0000000000000
 1953 /04 /07  52.6529198661587 204.5227238461050 140.9527077161500 208.1301960200540 271.7002121500090 63.5700161299550 61.8698039799463 1.7002121500087 26.4299838700450 90.0000000000000
 1953 /04 /08  52.8664974891478 204.4467414445680 140.9412020858330 208.4197560445800 271.9252954033150 63.5055393587350 61.5802439554202 1.9252954033148 26.4944606412650 90.0000000000000

 

Here we consider the mutual distannce between two bodies. Conjunction (0 degree) and opposition (180 degree) are the mutual distances which have the highest significances rate of 90. It gradually diminishes to zero when approching the mutual distances of 90 and 270 degrees.

Below is an example of how the significances rate between two bodies are obtained:

example: p6 - p7 = longitude of Jupiter minus longitude of Saturn = 49.7784420059293 - 205.5369731714510 = -155.7585311655217, - 155.7585311655217 + 360 = 204.2414688344783 (in order to avoid a negative value we added 360 degrees).

if this value is between 0 degree and 90 degree then deduct it from 90 degree to obtain the result.

if this value is between 90 degree and 180 degree then deduct it from 180 degree, and then deduct it from 90 to obtain the result.

if this value is between 180 degree and 270 degree then deduct it from 270 degree to obtain the result.

if this value is between 270 degree and 360 degree then deduct it from 360 degree, and then deduct it from 90 to obtain the result.

 

 

click here to download the complete Excel data file

 

 

Figure A

 

    Here the distance between two planets are plotted in such a way that if the mutual distance is 180 (opposition) it will get the highest value of 90 points. so also when their mutual distance is zero (i.e. conjunction). Therefore the mutual distance of 90 degree and 270 degree get the lowest number of zero points. Here in this figure the mutual distance of Jupiter and Pluto is plotted for 7 years.

 

 

 

 

 

Figure B

 

 

Here in this figure the mutual distance of Jupiter and Saturn is plotted for 7 years..

 

 

Figure C

 

 

Here in this figure the mutual distance of Saturn and Pluto is plotted for 7 years..

 

 

 

Figure D

 

    Now if we sum up all the values from the above 3 figures we obtain the graph of figure D. As you observe the values converge on 90 points for a very long time, daily and continuously.

877 days from 31th March 1953  uo to 24th August 1955.

Then again for 1123 days from 8th October 1956 up to 4th November 1959.

For such a long duration without the slightest change in mutual distance and this up to 13 places of decimal is quite astounding. Check out with the sample raw data given in the above table..

 

Because I am not a mathematician, I cannot judge the merits of this phenomenon. I would appreciate if anybody could give a mathematical explanation for this. The below figure shows all the instances of this phenomenon during the last century.