Download PLANETARY MOTION SIMULATION IN THE SOLAR

PLANETARY MOTION SIMULATION IN THE SOLAR
By:
Supardi, et al
ABSTRACT
Research on the simulation of planetary motions in the solar has been
accomplished. This study aims at simulating the planetary motions to know planets’
velocity and position, proving Kepler's second law of the elliptical trajectory and energy
owned by planets while orbiting, determining the orbit of Helly comet, and determining
the perihelion state of planets.
The method used in this study was based on Newton's equation of motions. By
using the Euler approach, a complete picture about the motion of planets rounding the
sun was then obtained. Euler method was used considering its simplicity and reliability,
although it needed to choose a small-enough step size. However, by the presence of
computer technology offering the adequate velocity of calculation, the problem could be
overcome.
Results obtained from this study included: (1) the velocity and position of planets
changed periodically and could be used to determine the travel period of planets, (2) the
planets’ ellip-shaped orbit trajectory as indicated by the eccentricity’s price was not equal
to zero, for the earth e = 0.042382, (3) energy owned by the planet was constant, to the
earth E = -19 598 EU AU2 / year and the angular momentum Lz = AU2 = 6.3 EU / year,
and (4) Mercury had the perihelion shift, also data of the major axis = 0.784655, the
minor axis = 0.769402 and the eccentricity = 0.196215.
Key words: simulation, planets, Kepler's Law, Newton's Law, the method of Euler.