Dr. Angel Zhivkov

Sofia University, Bulgaria



Title of the paper: Expansion of the Newton Potential and Short–time Dynamics of the Solar System


Abstract: We analyze the motion of the eight principal planets around the Sun under Newton’s inverse–square law of gravitation. In heliocentric coordinates, the orbit of each planet depends on six orbital elements, satisfying the Lagrangian Planetary Equations (LPE), i.e. the system of 48 first order ordinary differential equations. Read More

Bio: Angel Zhivkov was born in the town Vidin, Bulgaria, 1959. He won a silver medal in IMO in Vienna 1976, and bronze in Belgrade 1977. His MSc in Math has earned at Sofia University and his PhD at Moscow State University in 1989 under the supervision of Boris Dubrovin. He has worked at Bulgarian Academy of Sciences and at Faculty of Mathematics and Informatics at Sofia University, being associated professor from 2001 till now. His main interests in mathematics are integrable systems of ODE’s, theta functions and Celestial Mechanics.




Categories