Application of PicardChebyshev method to orbital dynamics

1
Application of Picard-Chebyshev methodto
orbital dynamics

• H.Arakida (Waseda Univ.)
• T. Ito, and T. Fukushima (NAOJ)

2
Picard-Chebyshev method

• Initially starting from approximate/rough
  solution
• Converging solution by Picard iteration method
• Aim of this method is to obtain coefficients of
• Chebyshev polynomials and determine function
• form

3
Efficiency of PC method

• No monotonic trend in positional error
• Efficiency of Vectorization V0.971, A15.32
• Efficiency of Pallalelization
• 1/Time1(1PE), 1.87(2PE), 3.65(4PE)