A nachalas' vsya putanica s nablyudatel'nymi i raschetnymi (teoreticheskimi) dannymi s N'yukoma (esli ne schitat' Lever'e). I v tablice 12b ya privozhu dannye opublikovannye samim N'yukomom, kotorye vzyaty iz knigi N'yukoma posvyashennoi analizu primenennyh metodov i prinyatyh gipotez pri postroenie ego teorii (Rouzver N.T. Perigelii Merkuriya. Ot Lever'e do Einshteina: Per. s angl. M.: Mir, 1985. 246 s. //sm. tabl. 3.1//). Zdes' N'yukom nablyudatel'nymi dannymi nazval poluteoreticheskie-polunablyudatel'nye dannye, kotorye on poluchil nanizyvaya dannye opticheskih nablyudenii na teoriyu N'yutona s popravkoi Holla, ispol'zuya prichinno- sledstvennuyu svyaz' etoi teorii dlya polucheniya radiusa, a raschetnymi (teoreticheskimi) nazval dannye, kotorye on poluchil s pomosh'yu chistoi teorii N'yutona. Pri etom, N'yukom privodit v svoei tablice dannye, poluchennye im dlya mgnovennoi ekliptiki i po etomu oni otlichayutsya ot privedennyh mnoyu v tablice 11s, poluchennyh mnoyu dlya fiksirovannoi ekliptiki J2000. Bolee togo, on privodit dannye dlya tekushei ekliptiki za vychetom precessii ot nachala nablyudeniya (orientirovochno nachinaya s 1750 g) do tekushego momenta, t.k. v tekushei ekliptike, naprimer, smeshenie perigeliya Merkuriya poluchatsya 5554,43 uglovyh sekundy, chto eshe bol'she zaputyvaet interpretaciyu ego dannyh dlya podtverzhdeniya toi ili inoi fizicheskoi teorii, t.k. vse teorii dayut dannye v fiksirovannoi ekliptike i v chastnosti formula Einshteina (Paulya Gerbera) dlya anomal'nogo (dopolnitel'nogo) smesheniya perigeliya planet podrazumevaet chto massy dvizhutsya v nepodvizhnoi sisteme koordinat. No po bol'shomu schetu vse eto ne imeet nikakogo znacheniya, t.k. ispol'zovannye Einshteinom dlya podtverzhdeniya spravedlivosti ego teorii (OTO) nablyudatel'nye dannye N'yukoma voobshe ne yavlyayutsya imenno nablyudatel'nymi dannymi v obsheprinyatom smysle, t.e. dannymi poluchennymi pryamymi zamerami konkretnyh velichin.

Ne ochen' horosho dlya obosnovaniya toi ili inoi teorii i to, chto N'yukom privel v svoei tablice ne sami vekovye smesheniya perigeliev i uzlov voshozhdeniya, a ih kombinirovannye znacheniya, zavyazannye na drugie parametry, kotorye tozhe izmenyayutsya, i po etomu otsyuda nel'zya poluchit' tochnye znacheniya smesheniev imenno perigeliya i uzla voshozhdeniya. Pravda eti popravki ot nestabil'nosti ekscentrisitetov i uglov naklona budut neznachitel'nye i v principe mozhno bylo by privesti srazu ili ryadom v tablice i dannye imenno po smesheniyam perigeliev i uzlov voshozhdeniya. Po etomu v tablice vo vtoryh strokah ya i privozhu dannye N'yukoma privedennye mnoyu k normal'nomu vidu, t.e. samo smeshenie perigeliya dAlfaP, a ne ego proizvedenie na ekscentrisitet planety Eks*dAlfaP, kak eto bylo u N'yukoma i smeshenie voshodyashego uzla dAlfaU, a ne ego proizvedenie na sinus ugla naklona orbity sin(Betta)*dAlfaU, a smeshenie ekscentrisitetov ya privozhu ne v uglovyh sekundah, kak eto dano u N'yukoma, a v bezrazmernyh velichinah uvelichennyh v 1 000 000 raz. A, dlya perescheta dannyh N'yukoma, postoyannye znacheniya ekscentrisitetov planet i uglov naklona ya vzyal iz teorii N'yukoma, kotorye poluchayutsya dlya 1900 goda. Pri etom, poluchennye mnoyu na programme Solsys6 dannye po vekovym smesheniyam parametrov orbit polucheny po uproshennoi teorii N'yukoma, t.e. bez periodicheskih vozmushenii, kotorye dlya nashih celei i ne nuzhny, t.k. sozdayut tol'ko shum, ot kotorogo potom pri statisticheskoi obrabotke pervichnyh dannyh prihodit'sya ochishat' eti dannye.

Tablica 12b. Vekovye smesheniya parametrov orbit planet, poluchennye N'yukomom kak nablyudatel'nye i raschetnye (teoreticheskie) dannye i poluchennye mnoyu eti zhe dannye na programme Solsys6 pri statisticheskoi obrabotke pervichnyh dannyh za period s 1601 po 1901 gody. Oboznacheniya vekovyh smeshenii parametrov orbit sootvetstvuyut prinyatym v moei programme Solsys6 i v vysheprivedennoi tablice11s (AlfaP perigelii, AlfaU uzel voshozhdeniya, Betta naklon orbity i Eks ekscentrisitet, a poslednyaya cifra sootvetstvuet poryadkovomu nomeru planety).

Parametr____________Nablyudeniya____Teoriya_N'yutona_____Raznost'

Eks1*dAlfaP1______ ___118,24+/-0,40____109,76+/-0,16_____8,48+/-0,43
dAlfaP1______________575,06+/- 1,95____533,82+/-0,78____41,24+/-2,09
dAlfaP1*_____________573,07+/-0,03____532,21+/- 0,12____40,86+/-0,12
dAlfaP1**____________570,75+/-0,02____529,89+/-0,12____40,86+/- 0,12
sin(Betta1)*dAlfaU1____-91,89+/-0,45____-92,50+/-0,16_____0,61+/-0,52
dAlfaU1______________-753,70+/-3,69___-758,70+/-1,31____5,00+/-4,27
dAlfaU1*_____________-758,32+/-0,45___-756,66+/-0,27___-1,66+/-0,45
dAlfaU1**____________-451,92+/-0,29___-450,28+/-0,11___-1,64+/-0,29
dBetta1_______________7,14+/-0,80______6,76+/-0,01_____0,38+/-0,80
dBetta1*______________6,94+/-0,06______6,90+/-0,05_____0,04 +/-0,06
dBetta1**____________-21,43+/-0,00____-21,47+/-0,00_____0,03+/-0,00
dEks1*3600*180/pi_____3,36+/-0,50______4,24+/-0,01_____-0,88+/-0,50
dEks1________________16,29+/-2,42_____20,56+/-0,05_____4,27+/-2,42
dEks1*_______________20,57+/-0,01_____20,52+/-0,11_____0,05+/- 0,11
dEks1**______________20,57+/-0,01_____20,52+/-0,11_____0,05+/- 0,11

Eks2*dAlfaP2___________0,29+/-0,20______0,34+/-0,15______-0,05+/- 0,25
dAlfaP2_______________42,52+/-29,33____49,85+/-21,99____-7,33+/- 36,66
dAlfaP2*______________59,25+/-4,27_____49,08+/-10,22____10,17+/-10,22
dAlfaP2**_____________57,87+/-4,28_____47,69+/-10,22____10,18+/-10,22
sin(Betta2) *dAlfaU2____-105,40+/-0,12____-106,00+/-0,12_____0,60+/-0,17
dAlfaU2_____________- 1780,56+/-2,03___-1790,69+/-2,03____10,14+/-2,87
dAlfaU2*____________-1788,75+/- 0,35___-1786,83+/-0,07____-1,92+/-0,35
dAlfaU2**____________-999,51+/-0,47____- 997,92+/-0,33____-1,59+/-0,47
dBetta2________________3,87+/-0,30______3,49+/- 0,14______0,38+/-0,33
dBetta2*_______________3,63+/-0,00______3,62+/-0,01______0,01+/- 0,01
dBetta2**_____________-2,42+/-0,11______-2,42+/-0,12______0,00+/-0,12
dEks2*3600*180/pi _____-9,46+/-0,20______-9,67+/-0,24______0,21+/- 0,31
dEks2________________-45,86+/-0,97_____-46,88+/-1,16_____1,02+/-1,50
dEks2*_______________-48,08+/-0,08_____-49,17+/-0,33_____1,09+/-0,33
dEks2**______________-48,08+/-0,08_____-49,17+/-0,33_____1,09+/- 0,33

Eks3*dAlfaP3__________19,48+/-0,12_____19,38+/-0,05______0,10+/-0,13
dAlfaP3______________1162,92+/-7,16___1156,95+/-2,98_____5,97+/-7,76
dAlfaP3*_____________1160,36+/-0,43___1146,32+/-2,92____14,04+/-2,92
dAlfaP3**____________1160,36+/-0,41___1144,96+/-2,15____15,40+/-2,15
sin(Betta3) *dAlfaU3_________---_____________---______________---
dAlfaU3___________________--- _____________---______________---
dAlfaU3*__________________---_____________--- ______________---
dAlfaU3**____________-869,84+/-0,17___-905,27+/-7,00____35,43+/- 7,00
dBetta3***____________-47,11+/-0,23____-46,89+/-0,09____-0,22+/-0,27
dBetta3*__________________---_____________---___________---
dBetta3**_____________-47,19+/-0,03____-47,28+/-0,01____0,09+/-0,03
dEks3*3600*180/pi _____-8,55+/-0,09_____-8,57+/-0,04_____0,02+/-0,10
dEks3________________-41,45+/-0,44____-41,55+/-0,19_____0,10+/-0,48
dEks3*_______________-41,33+/-0,11____-42,44+/-0,43_____1,11+/-0,43
dEks3**______________-41,33+/-0,11____-42,54+/-0,44_____1,21+/- 0,44

Eks4*dAlfaP4__________149,55+/-0,35____148,80+/-0,04____0,75+/-0,35
dAlfaP4______________1602,69+/-3,75___1594,65+/-0,43____8,04+/-3,75
dAlfaP4*_____________1602,19+/-0,65___1601,79+/-1,71____0,40 +/- 1,71
dAlfaP4**____________1601,55+/-0,68___1600,80+/-1,15____0,75+/-1,15
sin (Betta4)*dAlfaU4_____-72,60+/-0,20____-72,63+/-0,09____0,03+/-0,22
dAlfaU4_____________-2248,44+/-6,19___-2249,37+/-2,79___0,93+/-6,81
dAlfaU4*____________-2247,27+/-1,06___-2245,68+/-0,31___-1,59+/-1,06
dAlfaU4**___________-1053,12+/-1,97___-1051,60+/-1,00___-1,52+/-1,97
dBetta4_______________-2,26+/-0,20_____-2,25+/-0,04_____-0,01+/-0,20
dBetta4*______________-2,60+/-0,04_____-2,54+/-0,02_____-0,06+/-0,04
dBetta4**_____________-29,05+/-0,08____-29,00+/-0,05____-0,05+/-0,08
dEks4*3600*180/pi _____19,00+/-0,27_____18,71+/-0,01_____0,29+/- 0,27
dEks4_________________92,11+/-1,31_____90,71+/-0,05_____1,40+/-1,31
dEks4*________________92,33+/-0,04_____93,40+/-0,59____-1,07+/-0,59
dEks4**_______________92,33+/-0,04_____93,93+/-0,54____-1,60+/-0,54

*, ** - znacheniya vekovyh smeshenii, poluchennye mnoyu na programme Solsys6 pri obrabotke pervichnyh dannyh za period s 1601 po 1901 gody, gde pervichnye nablyudatel'nye dannye polucheny po teorii planet N'yukoma bez ucheta periodicheskih vozmushenii, a teoreticheskie na matematicheskoi modeli s ispol'zovaniem klassicheskoi teorii N'yutona i s parametrami modeli po dannym N'yukoma (osnovnoi shag resheniya byl 3600 sek, a vblizi perigeliya i uzla voshozhdeniya shag umen'shalsya v 200 raz). V svoei tablice N'yukom ukazyvaet srednie oshibki, no dlya opredeleniya anomal'nosti smesheniya on ispol'zuet veroyatnye oshibki, kotorye poluchayutsya umnozheniem srednih oshibok na 0,67454. U menya zhe v programme Solsys6 poluchayutsya predel'nye otkloneniya s nadezhnost'yu (doveritel'noi veroyatnost'yu) 95%, gde predel'nye otkloneniya opredelyalis' po kriteriyu maksimina, t.e. kak maksimal'nye otkloneniya iz minimal'no vozmozhnyh dlya hotya by chastichnogo perekrytiya vseh dopustimyh otklonenii rasschitannyh pri raznom kolichestve tochek v gruppah dannyh, na kotorye (gruppy) razbivaetsya vsya vyborka.

* - dlya tekushei (mgnovennoi) ekliptiki s vychetom precessii
** - dlya fiksirovannoi ekliptiki J2000
*** - u N'yukoma eto otklonenie ekliptiki ot ekvatora Zemli

Kak vidno iz privedennyh dannyh, raschetnye i nablyudatel'nye dannye privedennye samim N'yukomom malo otlichayutsya ot raschetnyh i nablyudatel'nyh dannyh poluchennyh po ego teorii planet mnoyu, no po nekotorym parametram est' i principial'nye otlichiya. Ya v obshem mogu eto ob'yasnit' tol'ko tem, chto ya primenyal svoyu metodiku (statisticheskuyu) dlya polucheniya vekovyh smeshenii parametrov orbit. A vozmozhno nekotoroe otlichie poluchennyh mnoyu nablyudatel'nyh dannyh ot privedennyh N'yukomom svyazano eshe i s tem, chto ya, kak vyyasnilos' v besede s Hartikovym, ispol'zoval ne original'nuyu teoriyu N'yukoma, a ee sovremennyi variant, kotoryi (lichno dlya menya) ne izvestno chem otlichaetsya ot originala. Hotya rashozhdeniya po nekotorym dannym imeyut vpolne logicheskoe ob'yasnit'. Naprimer, rashozhdeniya po smesheniyu perigeliya Venery svyazano s tem, chto smeshenie perigeliya Venery nosit yavno kvadratichnyi harakter i po etomu o vekovom smeshenie perigeliya Venery govorit' ne korrektno, t.k. v odnom veke ono budet imet' odno znachenie, a v drugom veke drugoe. Naprimer, sam N'yukom v uravnenie regressii (v ego teorii planet) dlya smesheniya perigeliya Venery v tekushei ekliptike daet takie dannye
AlfaP2= Alfa0 + 5068,99*dT 3,515*dT*dT
chto pri prostom vychete precessii 5025,64 uglovyh sekund dast nam
AlfaP2= Alfa0 + 43,35*dT -3,515*dT*dT
Pri etom u nego dT (v yulianskih stoletiyah) otschityvaetsya ot 1900 goda, a ya, obrabotav ego zhe dannye, t.e. dannye kak by nablyudenii poluchennye po ego zhe uravneniyam regressii, s 1601 po 1901 gody poluchayu takuyu zavisimost'
AlfaP2= Alfa0 + 69,73*dT -4,619*dT*dT
gde u menya dT otschityvaetsya ot 1601 goda, i mgnovennoe znachenie vekovogo smesheniya perigeliya Venery v 1900 godu u menya poluchaetsya po etoi zavisimosti 42,11, chto neznachitel'no otlichaetsya ot nachal'nogo znacheniya lineinogo chlena v uravnenie regressii N'yukoma (43,35), kogda za tochku otscheta v ego uravnenie prinyat 1900 god. No, govorya o vekovyh smesheniyah parametrov orbit, my vsegda podrazumevaem, chto oni yavlyayutsya konstantami i, sledovatel'no, kvadratichnye chleny v uravneniyah dlya AlfaP2 dolzhny otsutstvovat'. A vot v nashem sluchae, kogda u nas imeetsya yavnaya nelineinaya zavisimost', a my approksimiruem dannyh za kakoi to period lineinoi zavisimost'yu, u nas v zavisimosti ot prodolzhitel'nosti etogo perioda i ot daty nachala etogo perioda budut poluchat'sya raznye znacheniya vekovogo smesheniya parametra. Naprimer, po moim koefficientam kvadratichnoi approksimacii poluchaetsya, chto pri approksimacii dannyh lineinoi zavisimost'yu za neprodolzhitel'nyi promezhutok vremeni v 1601 godu poluchit'sya znachenie vekovogo smesheniya perigeliya Venery 69,73, a v 1900 godu 42,11. A esli approksimirovat' lineinoi zavisimost'yu ves' interval ot 1601 po 1901 gody, to poluchitsya srednee znachenie, sootvetstvuyushee 1751 godu, t.e. 59,25, chto i otrazheno v tablice 12b. A dlya 1801 goda, t.e. po dannym tablicy 11ss, gde dannye obrabatyvalis' za period s 1601 po 2001 gody poluchaetsya 54,46.

Prodolzhenie sleduet
S nailuchshimi pozhelaniyami Sergei Yudin.

I, esli teper' v ranee privodivsheisya mnoyu tablice 2s dopolnit' dannye N'yukoma po anomal'nomu smesheniyu perigeliev planet dannymi, privedennymi mnoyu vyshe v tablice 12b , to ih sovpadenie, naprimer, s dannymi, kotorye daet OTO, budet gorazdo luchshe po Venere i Marsu, no uhudshitsya po Zemle. Hotya, v principe, i po Zemle tozhe dolzhno bylo poluchit'sya horoshee sovpadenie, t.k. i nablyudatel'nye dannye N'yukoma i teoreticheskie dannye OTO polucheny po odnoi i toi zhe obshei metodologicheskoi teorii, kotoraya pozvolyaet tol'ko nemnogo povernut' ellipsy. U drugih teorii rezul'taty poluchayutsya pohuzhe, chem u OTO, no v lyubom sluchae ispol'zovat' privedennye mnoyu, tak nazyvaemye, nablyudatel'nye dannye v tablicah 2s, 11ss i 12b dlya podtverzhdeniya spravedlivosti toi ili inoi teorii mozhno tol'ko kak vspomogatel'nye, t.k. oni ne yavlyayutsya dannymi imenno nablyudenii, a yavlyayutsya kombinirovannymi, t.e. nablyudatel'no-raschetnymi dannymi.

Tablica 2s. Znacheniya anomal'nyh ostatkov smesheniya perigeliev 4-h planet (poluchennye iz teorii planet N'yukoma samim N'yukomom i mnoyu), kotorye ne ob'yasnyayutsya teoriei N'yutona, no ob'yasnyayutsya drugimi teoriyami v dopolnenie k smesheniyu uzhe ob'yasnennomu teoriei N'yutona (v skobkah ukazan istochnik otkuda vzyaty dannye).

_________________________Merkurii__Venera___Zemlya___Mars
Anomal'nyi ostatok (N'yukom)*__41,2____-7,3______6,0_____8,0
Anomal'nyi ostatok (Yudin) *____40,9____10,2_____14,0_____0,4
Anomal'nyi ostatok (Yudin) **___40,9____10,2_____15,4_____0,8
Einshtein (Subbotin) ___________43,0_____8,6______3,8_____1,4
Gerber (Haidarov) ______________43,0_____8,6______3,8_____1,4
Ritc (Rouzver) _________________41,0_____8,0______3,4_____----
Mah (Zaicev) ___________________43,0____23,0_____17,0____11,0
Zeelinger (Rouzver) _____________41,3_____7,3______4,2_____6,3

* - dannye polucheny v tekushei ekliptike za vychetom precessii

** - dannye polucheny dlya fiksirovannoi ekliptiki J2000

A vot deistvitel'no imenno nablyudatel'nymi dannymi mogli by byt' dannye po izmeneniyu perioda obrasheniya planet, no ya pochemu to nigde ne vstrechal takih dannyh. Hotya mozhet byt' vse svyazano s tem, chto periody obrasheniya planet ne menyayutsya i po etomu etim dannym ne udelyaetsya dolzhnoe vnimanie. No ved' hotya by upomyanut' to ob etom vse taki nado by bylo, a to mozhet vozniknut' podozrenie, chto periody obrasheniya planet navernoe vse zhe menyayutsya i, naprimer, N'yukom i JPL prosto namerenno ne privodyat takie dannye, t.k. ih teorii, primenennye dlya sglazhivaniya nablyudatel'nyh dannyh, ne otrazhayut etih izmenenii. A usilivaetsya eto podozrenie eshe i tem, chto JPL na svoem saite http://ssd.jpl.nasa.gov/txt/p_elem_t1.txt privodit dannye po vekovym izmeneniyam bol'shih poluosei ellipsov (sm. tablicu 11b), no, esli eto tak, to eto ved' dolzhno neminuemo privesti k izmeneniyu periodov obrasheniya planet, a po efemeridam DE405 my ne nablyudaem ni izmeneniya bol'shoi poluosi ellipsov, ni perioda obrasheniya planet (sm. tablicu 11b). I mozhet byt', esli naiti dannye po periodam obrasheniya planet Ptolemeya, to etot vopros proyasnitsya, t.k. za paru tysyacheletii raznica v periodah mogla nakopit'sya prilichnoi. Vot tol'ko eti dannye budut imet' znachenie tol'ko v tom sluchae, esli period vrasheniya Zemli vokrug svoei osi ne izmenilsya za eti 2000 let, t.k. vo vremena Ptolemeya ni to chto kvarcevyh ili atomnyh, no i obychnyh mehanicheskih chasov ne bylo, i prodolzhitel'nost' perioda obrasheniya planet opredelyali v dnyah, prodolzhitel'nost' kotoryh v chasah zavisit ot skorosti vrasheniya Zemli, i, sledovatel'no, v chasah ravnomernogo efemeridnogo vremeni periody obrasheniya planet mogli otlichat'sya ot sovremennyh znachenii dazhe esli oni i tochno sovpadut v dnyah, t.e. v oborotah Zemli vokrug svoei osi.

Navernoe, mozhno schitat' imenno nablyudatel'nymi dannymi i dannye opticheskih nablyudenii po smesheniyu ekscentrisiteta planet, t.k. zdes' dlya opredeleniya ekscentrisiteta po otkloneniyam ot Solnca v perigelii i afelii v uglovyh sekundah v principe dostatochno i dvuh parametrov (pryamogo voshozhdeniya i skloneniya). Da, pri etom konechno zhe budut slozhnosti, svyazannye s tem, chto nablyudeniya za planetoi budut proishodit' vse vremya iz raznyh tochek nablyudeniya, no koe chto pridumat' mozhno i vozmozhno ya etim zaimus' dazhe sam, t.k. mnogie dannye opticheskih nablyudenii, naprimer, vylozhennye Hartikovym k ego programme COORD.EXE (sm. soobsheniya 284 i 297 v moei teme na Astroforume http://www.astronomy.ru/f orum/index.php/topic,31389.280.html ), ne tol'ko privedeny k fiksirovannoi epohe J2000, no i dany dlya efemeridnogo vremeni ET, chto ne pozvolit mne zaputat'sya v popravkah ko vsemirnomu vremeni. Da i po dannym Ptolemeya mozhno budet poprobovat' chto to sdelat' s ekscentrisitetom cherez uglovye edinicy izmereniya otklonenii. A mozhno takzhe (pravda s bol'shoi natyazhkoi) poprobovat' opredelit' i velichinu bol'shoi poluosi ellipsa v uglovyh edinicah izmereniya, t.k. sovremennye teorii dvizheniya planet, kak utverzhdayut astronomy, pozvolyayut opredelyat' pryamoe voshozhdenie planet dlya vremeni nachala nashei ery v neskol'ko chasov i eto pomozhet opredelit' momenty, kogda bol'shaya poluos' nahodilas' tochno perpendikulyarno pri nablyudenie za planetoi s Zemli. Da dazhe, esli sovremennye teorii dayut oshibku v neskol'ko dnei, to eto tozhe ne pomeshaet opredelit' ekscentrisitet i bol'shuyu poluos' v uglovyh sekundah s vysokoi tochnost'yu, t.k. v perigelii i afelii rasstoyaniya mezhdu etimi tochkami i Solncem izmenyayutsya ochen' medlenno.

A chto, eta ideya s dannymi nablyudenii Ptolemeya ili s dannymi, poluchennymi po ego modeli (imitatoru) Solnechnoi sistemy, mne nravit'sya dazhe gorazdo bol'she, chem ideya obrabotki dannyh opticheskih nablyudenii neskol'kih poslednih stoletii. Ved' zdes' effekt mozhet okazat'sya kuda bolee zametnyi, t.k. tochnost' nablyudenii vo vremena Ptolemeya byla okolo 1 uglovoi minuty, chto menya vpolne ustraivaet i, pozhalui, ya etim i zaimus'. A v svyazi s etim u menya ko vsem astronomam budet pros'ba v poiske matematicheskih formul i parametrov dlya teorii Ptolemeya. A mozhet byt' kto to podelitsya dazhe ishodnikami programm dlya vychisleniya polozhenii planet i Solnca po teorii Ptolemeya. A esli zhalko ishodnikov programm, to mozhno hotya by DLL biblioteku, kotoraya po zadannomu efemeridnomu vremeni JD budet vozvrashat' pryamoe voshozhdenie i sklonenie dlya Solnca i odnoi iz zadannyh planet. A mozhet byt' sushestvuyut teorii podobnye Ptolemeevskoi, no sozdannye gde- to v nachale vtorogo tysyacheletiya. Eto bylo by tozhe ochen' interesno.

S nailuchshimi pozhelaniyami Sergei Yudin.

Kazhetsya vot zdes' http://home.thep.lu.se/~larsg/download.htm l ya nashel to, chto menya vpolne ustraivaet. A imenno geometricheskie imitatory