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Formirovanie traektorii planet Solnechnoi sistemy
15.01.2015 20:15 | V. Sh. Yanbikov
Formirovanie traektorii planet Solnechnoi sistemy Avtor: Yanbikov Vil'dyan Shavkyatovich. http://astrogalaxy.ru/forum/phpBB2/viewforum.php?f=11 http://www.astronomy.ru/forum/index.php/board,2.0.html V nachal'nyi moment vozniknoveniya Solnechnoi sistemy planety vrashalis' vokrug Solnca po krugovym orbitam. Mozhno predpolozhit', chto sila prityazheniya planet k Solncu obuslovlena sfericheski simmetrichnymi volnami gravitacii izluchaemymi Solncem s nekotoroi postoyannoi chastotoi n. Tochnee na planetu padaet superpoziciya voln izluchaemyh veshestvom iz kotorogo sostoit Solnce. Predpolozhim, chto eti volny rasprostranyayutsya so skorost'yu sveta v vakuume. Vvedem v absolyutnom kosmicheskom prostranstve absolyutnuyu sistemu otscheta (ASO), nepodvizhnuyu otnositel'no absolyutnogo kosmicheskogo prostranstva. Pust' Solnechnaya sistema dvizhetsya so skorost'yu V otnositel'no absolyutnogo kosmicheskogo prostranstva. Vvedem sistemu otscheta X Y Z tak chto Solnce nahoditsya v nachale koordinat etoi sistemy otscheta. Sistema otscheta X Y Z dvizhetsya vmeste s Solncem so skorost'yu V vdol' osi OY (ris.1). Pokazhem, chto dvizhenie Solnechnoi sistemy otnositel'no absolyutnogo kosmicheskogo prostranstva vytyanulo krugovye orbity planet v ellipticheskie. Po etoi zhe prichine orbity nachali vrashat'sya vokrug osi perpendikulyarnoi ploskosti orbity (precessiya perigeliev planet). Rassmotrim process prevrasheniya krugovoi orbity planety v ellipticheskuyu (ris.1). Pust' radius vrasheniya krugovoi orbity planety vokrug Solnca raven R (SA=R). Reshim zadachu v absolyutnoi sisteme otscheta. Pust' v nekotoryi moment vremeni t = 0 Solnce izluchilo gravitacionnyi volnovoi front. Cherez vremya t etot sfericheskii front dostignet tochki A krugovoi orbity planety. Za eto zhe vremya t volnovoi front peremestitsya na rasstoyanie R + Vt . Dlya tochki A krugovoi orbity mozhno zapisat' ravenstvo st = R + Vt ; gde s skorost' sveta v vakuume. Otsyuda Vt = RV/(c-V) . Za vremya t krugovaya orbita vmeste s Solncem peremestitsya na rasstoyanie Vt otnositel'no absolyutnogo kosmicheskogo prostranstva. Pri nablyudenii iz absolyutnoi sistemy otscheta (ASO) Solnce budet nahodit'sya v tochke S osi OY (ris.1). Rasstoyanie SS = Vt = RV/(c-V) . Sily deistvuyushie na planetu v tochkah A i S krugovoi orbity ne ravny. Eti sily vytyagivayut krugovuyu orbitu v ellipticheskuyu. Opredelim eti sily. Pust' Solnce izluchaet sfericheski simmetrichnye volny gravitacii s chastotoi n . Rasstoyanie mezhdu frontami λ = c/n . Eti volnovye fronty vozdeistvuyut na planetu i prityagivayut ee k Solncu. Dlya planety, nahodyasheisya v tochke S krugovoi orbity, chislo frontov peresekayushih planetu v sekundu ravno (c+V)/λ = ( 1 + V/(c ) ) n . Dlya tochki A krugovoi orbity chislo frontov peresekayushih planetu v sekundu ravno (s-V)/λ = ( 1 - V/c ) n . Sila prityazheniya planety k Solncu zavisit ot rasstoyaniya mezhdu planetoi i Solncem, a tak zhe ot chisla frontov voln gravitacii peresekayushih planetu v edinicu vremeni. Pri nablyudenii iz absolyutnoi sistemy otscheta imeet mesto neravenstvo AS > CS. Dlya chisla frontov peresekayushih planetu v tochkah S i A imeet mesto neravenstvo ( 1 + V/(c ) ) n > ( 1 - V/c ) n . Dva neravenstva privodyat k neravenstvu sil prityazheniya planety k Solncu v tochkah A i S krugovoi orbity. Neravenstvo sil nachinaet vytyagivat' krugovuyu orbitu v ellipticheskuyu. Rassmotrim process povorota ellipticheskoi orbity (precessiya orbity). Pust' planeta vrashaetsya vokrug Solnca po chasovoi strelke v napravlenii ukazannom strelkami (ris.1). Pust' orbital'naya skorost' planety v dvizhusheisya sisteme otscheta X Y Z ravna v. Eta skorost' nemnogo otlichaetsya dlya kazhdoi tochki ellipticheskoi traektorii. Reshim zadachu v absolyutnoi sisteme otscheta. Kolichestvo volnovyh frontov sfericheskih gravitacionnyh voln izluchaemyh Solncem i padayushih na planetu na uchastke orbity AS dlya kazhdoi tochki traektorii ravno ( 1 + (V-v)/c ) n . Kolichestvo frontov padayushih na planetu na uchastke traektorii SA , dlya simmetrichnyh otnositel'no osi OY tochek traektorii AS , ravno (1 (V+v)/c ) n . Raznost' kolichestva padayushih na planetu frontov na uchastkah traektorii AS i SA dlya simmetrichnyh otnositel'no osi OY tochek traektorii AS i SA soobshit planete impul's povorachivayushii orbitu planety po chasovoi strelke otnositel'no osi OZ pryamougol'noi sistemy otscheta X Y Z. ( 1 + (V-v)/c ) n - (1 (V+v)/c ) n = 2 V/c n Sila povorachivayushaya orbitu planety proporcional'na velichine 2 V/c n . Precessiya planetarnyh orbit stabiliziruet razmery poluosei ellipticheskih traektorii planet.
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(V. Sh. Yanbikov,
15.01.2015 20:15, 4.6 KBait)
Formirovanie traektorii planet Solnechnoi sistemy Avtor: Yanbikov Vil'dyan Shavkyatovich....