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Re[6]: Smeshenie perigeliya Merkuriya i drugih planet
11.03.2008 16:05 | S. Yu. Yudin

prodolzhenie


Tablica 13. Nablyudaemye i raschetnye znacheniya vekovyh smeshenii parametrov orbit planet i ih raznost', kogda raschetnye znacheniya polucheny pri ispol'zovanie modeli, funkcioniruyushei tol'ko po zakonam N'yutona. Znacheniya opredelyalis' po sleduyushim kriteriyam sr- po srednim znacheniyam, min- po minimal'nomu intervalu, maxmin- po maksiminnomu intervalu. Posle oboznacheniya parametra po kriteriyu min ukazano chislo oborotov planety pri obrabotke pervichnyh dannyh, pri kotorom eto znachenie polucheno. Dannye obrabatyvalis' za period s 1601 po 2001 gody.

Parametr________Nablyudeniya_DE405__Teoriya_N'yuton_JPL____Raznost'
dAlfaP1sr__________572,172+/-0,041__529,090+/-0,041__+43,082+/-0,041
dAlfaP1min_522_500_572,179+/-0,000__529,184+/-0,004__+42,995+/-0,004
dAlfaP1maxmin______572,205+/-0,064__529,119+/-0,068__+43,086+/-0,068

dAlfaP2sr____________37,633+/-2,567___29,563+/-2,533___+8,07+/-2,567
dAlfaP2min_197_168__40,161+/-0,556___31,747+/-0,044___+8,414+/-0,556
dAlfaP2maxmin_______41,228+/-3,482___31,831+/-3,060___+9,397+/-3,482

dAlfaP3sr__________1159,265+/-1,91__1136,545+/-1,857__+22,720+/-1,91
dAlfaP3min_131_117_1157,632+/-0,57__1135,511+/-0,258__+22,121+/-0,57
dAlfaP3maxmin_____1157,632+/-0,57__1136,127+/-3,008__+21,501+/-3,008

dAlfaP4sr_________1599,528+/-1,211__1598,373+/-1,238__+1,155+/-1,238
dAlfaP4min_59_59__1600,286+/-0,166__1598,997+/-0,265__+1,289+/-0,265
dAlfaP4maxmin____1600,228+/-2,037__1599,151+/-2,089__+1,077+/-2,089
---------------------------------------------------------------
dAlfaU1sr__________-450,174+/-0,077__-450,768+/-0,076__+0,594+/-0,077
dAlfaU1min_418_419_-449,953+/-0,492__-450,553+/-0,409__+0,600+/-0,492
dAlfaU1maxmin______-449,953+/-0,492__-450,553+/-0,409__+0,600+/-0,492

dAlfaU2sr__________-998,640+/-0,118__-999,643+/-0,131__+1,003+/-0,131
dAlfaU2min_163_163_-998,320+/-0,433__-999,287+/-0,324__+0,967+/-0,433
dAlfaU2maxmin______-998,320+/-0,433__-999,287+/-0,324__+0,967+/-0,433

dAlfaU3sr*__________-868,52+/-13,53___-1466,88+/-21,4__+598,37+/-21,4
dAlfaU3min*_48_44___-871,81+/-2,37___-1443,43+/-8,15___+571,62+/-8,15
dAlfaU3maxmin*_____-874,06+/-21,01___-1443,43+/-8,15__+569,37+/-21,01

dAlfaU4sr_________-1051,738+/-0,554__-1074,063+/-0,63__+22,325+/-0,63
dAlfaU4min_54_54__-1050,233+/-3,201__-1072,368+/-3,82__+22,135+/-3,82
dAlfaU4maxmin_____-1050,233+/-3,201__-1072,368+/-3,82__+22,135+/-3,82
-------------------------------------------------
dBetta1sr_________-21,4362+/-0,0011_-21,5200+/-0,0014_+0,0838+/-0,0014
dBetta1min_489_421_-21,4355+/-0,000__-21,5181+/-0,000__+0,0826+/-0,000
dBetta1maxmin____-21,4369+/-0,0027__-21,5206+/-0,0025_+0,0837+/-0,0027

dBetta2sr_________-2,5858+/-0,0295__-2,8471+/-0,0295__+0,2613+/-0,0295
dBetta2min_163_163_-2,5016+/-0,0215__-2,7626+/-0,2186__+0,261+/-0,2186
dBetta2maxmin______-2,5016+/-0,0215__-2,7626+/-0,2186__+0,261+/-0,2186

dBetta3sr__________-47,163+/-0,009___-47,050+/-0,010___-0,113+/-0,010
dBetta3min_94_94___-47,181+/-0,029___-47,073+/-0,038___-0,108+/-0,038
dBetta3maxmin______-47,181+/-0,029___-47,073+/-0,038___-0,108+/-0,038

dBetta4sr_________-28,9927+/-0,021__-29,5988+/-0,0204__+0,6061+/-0,021
dBetta4min_55_55__-28,9421+/-0,1145__-29,5494+/-0,123__+0,6073+/-0,123
dBetta4maxmin_____-28,9421+/-0,1145__-29,5494+/-0,123__+0,6073+/-0,123
----------------------------------------------------------
dEks1sr__________0,07376+/-0,00012_0,07396+/-0,00011_-0,00020+/-0,00012
dEks1min_538_507_0,07368+/-0,00001_0,07395+/-0,00001_-0,00027+/-0,00001
dEks1maxmin_____0,07365+/-0,00027__0,07400+/-0,00016_-0,00035+/-0,00027

dEks2sr_________-0,17411+/-0,00027_-0,17693+/-0,00028_+0,00282+/-0,00028
dEks2min_170_215_-0,1739+/-0,00007_-0,17623+/-0,00007_+0,00233+/-0,00007
dEks2maxmin_____-0,17400+/-0,00039_-0,17674+/-0,00058_+0,00274+/-0,00058

dEks3sr_________-0,15068+/-0,00046__-0,15260+/-0,0005__+0,00192+/-0,0005
dEks3min_117_128_-0,15066+/-0,0001__-0,15236+/-0,0001__+0,00170+/-0,0001
dEks3maxmin_____-0,15077+/-0,0004__-0,15250+/-0,00023__+0,00173+/-0,0004

dEks4sr_________0,33070+/-0,00178__0,34363+/-0,00183__-0,01293+/-0,00183
dEks4min_58_62__0,32849+/-0,00076__0,34643+/-0,00005__-0,01794+/-0,00076
dEks4maxmin_____0,32907+/-0,00134__0,34438+/-0,00209__-0,01531+/-0,00209


*- dannye obrabatyvalis' s 1601 po 1751 gody, t.k. pri priblizhenie k ekliptike epohi, vsledstvie ochen' malen'kogo ugla naklona orbity, smeshenie uzlov na modeli nachinalo stremitel'no rasti.

Kak Vy uzhe zametili poluchennye mnoyu znacheniya anomal'nyh ostatkov vo mnogom otlichayutsya ot obsheizvestnyh dannyh, no iz etogo nikoim obrazom ne sleduet, chto oni ne verny. Ya by dazhe skazal naoborot dannye, poluchennye s ispol'zovaniem moei metodiki obrabotki dannyh nablyudenii, bolee tochny, chem dannye, poluchennye s ispol'zovaniem metodiki, baziruyusheisya na teorii vozmushenii, t.k. moya metodika pozvolyaet poluchat' dannye dlya vekovyh smeshenii parametrov orbit s zadannoi nadezhnost'yu (v vysheprivedennoi tablice nadezhnost' ravnyaetsya 0,95) i po etomu govorit' o tom, chto oni verny ili ne verny ne imeet smysla. Oni verny na 95%. Drugoe delo, chto dannaya nadezhnost' poluchaetsya pri obrabotke srednih znachenii parametrov dlya konkretnogo chisla oborotov planety vzyatyh dlya rascheta srednih znachenii v gruppe i zdes' nablyudaetsya nekotoraya neopredelennost', t.k. pri raznom kolichestve tochek v gruppe poluchayutsya vse-taki raznye rezul'taty. No ya schitayu, chto predlozhennyi mnoyu kriterii maksimina pozvolyaet ubrat' etu neopredelennost', hotya i s neznachitel'nym umen'sheniem nadezhnosti poluchennyh dannyh, i po etomu ego mozhno ispol'zovat' dlya prinyatiya resheniya o tom yavlyaetsya li raznost' mezhdu poluchennymi dannymi nablyudenii i teoreticheskimi dannymi, poluchennymi na N'yutonovskoi modeli Solnechnoi sistemy, anomal'nym ostatkom, t.e. ostatkom, ne ob'yasnyaemym teoriei N'yutona. I seichas ya s ispol'zovaniem etogo kriteriya privedu svodnuyu tablicu po vsem ostatkam, poluchennym s ispol'zovaniem etogo kriteriya. A posle togo kak ya v sleduyushei versii programmy dopolnyu pervichnye dannye eshe i protivopolozhnymi tochkami, opredelyayushimi polozhenie linii uzlov i linii aspid, tochnost' poluchennyh dannyh znachitel'no uluchshit'sya, t.k. chem bol'she vyborka tem u nas poluchaetsya men'she dispersiya vekovyh smeshenii.

Tablica 14. Raznost' mezhdu nablyudaemymi i raschetnymi znacheniyami vekovyh smeshenii parametrov orbit planet po dannym tablicy 13, opredelennaya s ispol'zovaniem maksiminnogo kriteriya.

___________Merkurii_______Venera_________Zemlya________Mars
dAlfaP____+43,09+/-0,07___+9,40+/-3,48___+21,50+/-3,01___+1,08+/-2,09
dAlfaU____+0,60+/-0,492__+0,967+/-0,433__+569,4+/-21,0___+22,14+/-3,82
dBetta___+0,084+/-0,003__+0,261+/-0,219__-0,108+/-0,038__+0,607+/-0,123
dEks_-0,00035+/-0,00027_+0,0027+/-0,0006_+0,0017+/-0,0004_-0,015+/-0,003

Kak my vidim, po dannym etoi tablicy, iz 4-h anomalii N'yukoma u nas ostalas' tol'ko odna anomaliya po perigeliyu Merkuriya, no zato u nas poyavilis' novye anomalii. I esli teper' u OTO Einshteina, esli posmotret' na utochnennuyu tablichku 3a, net problem s anomal'nym smesheniem perigeliev Venery i Marsa, kotorye byli po dannym N'yukoma, to poyavilas' novaya problema - anomal'noe smeshenie perigeliya Zemli, kotoroe ochen' otlichaetsya ot togo, chto daet OTO.

Tablica 3a. Anomal'nye ostatki smesheniya perigeliev planet, kotorye ne ob'yasnyayutsya teoriei N'yutona


________________________Merkurii___Venera___Zemlya___Mars
ostatok N'yukoma (Einshtein)__41,24____-7,33_____5,97_____8,04
ostatok Dankoma (Subbotin)___43,1______8,36_____5,01_____1,07
ostatok Yudina-JPL (Yudin)____43,1______9,4______21,5_____1,08
OTO Einshteina (Subbotin)___43,0_______8,6______3,8______1,4

A, esli uchest', chto OTO nikak ne ob'yasnyaet (naskol'ko mne izvestno) anomal'nye smesheniya linii uzlov, uglov naklona orbit i ih ekscentrisitetov, kotoryh po dannym tablicy 14 predostatochno, to nado skazat', chto u OTO poyavilis' bol'shie problemy s ee eksperimental'nym podtverzhdeniem. Hotya, vozmozhno, chto OTO ne mozhet ob'yasnit' eti anomalii i po chisto tehnicheskim prichinam, t.e. prosto iz-za nevozmozhnosti poluchit' analiticheskoe reshenie dannoi zadachi, no togda pust' storonniki OTO pozabotyatsya o chislennom reshenie etoi zadachi, t.e. sozdadut matematicheskuyu model' Solnechnoi sistemy v sootvetstvie so vsemi trebovaniyami OTO i poluchat na nei vse vekovye smesheniya parametrov orbit sovpadayushie s nablyudaemymi dannymi. Ili pust' hotya by dadut mne osnovnye uravneniya, vytekayushie iz OTO, a ya oformlyu ih v vide modeli, progonyu na nei vychislitel'nye eksperimenty i obrabotayu ih po svoei metodike. Tol'ko ne nado mne davat' uravnenii, kotorye poluchayutsya pri reshenie pervoi zadachi dinamiki (obratnoi zadachi), t.e. po izvestnoi traektorii nahodyatsya sily, kotorye neobhodimo prilozhit' k telu, chtoby ono dvigalos' po etoi traektorii, kak eto sdelal Sergei Hartikov. Estestvenno, chto v etom sluchae, esli my prilozhim k telu eti sily, ono i budet dvigat'sya po nuzhnoi nam traektorii. Vot tol'ko my ne vsegda v etom sluchae smozhem ob'yasnit' otkuda vzyalis' eti sily, t.e. eto budet pohozhe na obychnyi fokus.

Nadeyus', chto kto-to zaimetsya vse-taki etim voprosom i dast mne formuly neposredstvennogo opredeleniya sil dlya resheniya vtoroi (pryamoi) zadachi dinamiki. Konkretno mne nado vyrazhenie dlya gravitacionnogo potenciala v lyuboi tochke prostranstva po kotoromu ya opredelyu i silu prityazheniya mezhdu Solncem i planetoi i zamedlenie tempa vremeni v etoi tochke prostranstva. A ya poka poprobuyu v pervom priblizhenie opredelit' absolyutnuyu skorost' Solnca i rasprostraneniya gravitacii tol'ko po anomal'nomu smesheniyu perigeliya Merkuriya, uchtya v N'yutonovskoi modeli Solnechnoi sistemy skorost' rasprostraneniya gravitacii. Voobshe-to programma pozvolyaet eto delat' srazu po vsem pokazatelyam vseh planet po edinomu kriteriyu optimizacii, kotoryi opredelyaetsya s uchetom vesovyh koefficientov parametrov, no poka ya schitayu eto prezhdevremennym i prodolzhayu nadeyat'sya, chto naidutsya kakie-to drugie efemeridy, otlichnye ot efemerid JPL, chtoby utochnit' poluchennye mnoyu dannye, a to doveryat'sya odnomu istochniku pervichnyh dannyh ya ne privyk.

S nailuchshimi pozhelaniyami Sergei Yudin.




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