The Lunar orbit paradox

Aleksandar Tomic
2013 Theoretical and Applied Mechanics  
Newton's formula for gravity force gives greather force intensity for atraction of the Moon by the Sun than atraction by the Earth. However, central body in lunar (primary) orbit is the Earth. So appeared paradox which were ignored from competent specialist, beacause the most important problem, determination of lunar orbit, was inmediately solved sufficiently by mathematical ingeniosity -introducing the Sun as dominant body in the three body system by Delaunay, 1860. On this way the lunar orbit
more » ... way the lunar orbit paradox were not canceled. Vujičić made a owerview of principles of mechanics in year 1998, in critical consideration. As an example for application of corrected procedure he was obtained gravity law in some different form, which gave possibility to cancel paradox of lunar orbit. The formula of Vujičić, with our small adaptation, content two type of accelerationrelated to inertial mass and related to gravity mass. So appears carried information on the origin of the Moon, and paradox cancels. Apstrakt: Njutnova formula za gravitacionu silu daje veće privlačenje Mesca Suncem nego Zemljom. Ipak, centralno telo u mesečevoj (primarnoj) putanji je Zemlja. Tako se pojavio paradoks koji kompetentni specialisti ignorišu, jer je mnogo važniji problem, određivanje Mesečeve putanje, u međuvremenu zadovoljavajuće rešen matematičkom domišljenošću -uvođenjem Sunca kao dominantnog tela u sistemu tri tela (Delaunay, 1860). Ali, tako paradoks mesečeve putanje nije razrešen. Vujičić (1998) je kritičkim razmatranjem uradio pregled principa mehanike. Kao primer primene korektne procedure dobio je formulu zakona gravitacije u malo drugačijoj formi, koja pruža mogućnost da se razreši paradoks Mesečeve putanje. Vujičićeva formula, sa našim malim prilagođenjem, sadrži dva tipa ubrzanja -koja se odnose na inercionu masu i na gravitacionu masu. Tako se pojavljuje sačuvana informacija o poreklu Meseca i otklanja paradoks.
doi:10.2298/tam1301135t fatcat:fvrlxhzfjzh2hmdvxyyjm3ks7u