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JOURNALS // Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics) // Archive

PFMT, 2014 Issue 4(21), Pages 36–39 (Mi pfmt337)

PHYSICS

Modeling of the radial density function of a gravitating globe

G. Yu. Tyumenkova, E. P. El'nikovb, E. V. Firaginaa

a F. Scorina Gomel State University, Gomel, Belarus
b Gomel City Lyceum ¹1, Gomel, Belarus

Abstract: Using the approximation of spherical symmetry and correct physical radial behavior the density function is simulated in several analytical forms. On this basis the density function generalized form for layered structure is proposed. Masses of terrestrial planets are calculated with averaged characteristics. The possible application of simulation results is evaluated.

Keywords: density function, spherical layer, hypergeometric function, gamma function, Heaviside step function, terrestrial planet.

UDC: 521.1; 524.3

Received: 10.09.2014



© Steklov Math. Inst. of RAS, 2024