Simulation and visualization of few-body systems and the differential precession of mercury

Computing in Science and Engineering

Volumn 16, Issue 1, 2014, Pages 42-50

  Marmaras, Brett ^a   Wang, J Jay ^a  

^a UNIVERSITY OF MASSACHUSETTS DARTMOUTH   (United States)

Author keywords

computer simulation; Mercury precession; planetary motion; Python; Scientific computing; visualization

Indexed keywords

COMPUTER SIMULATION; FLOW VISUALIZATION; HAMILTONIANS; NATURAL SCIENCES COMPUTING; RELATIVITY; VISUALIZATION;

DIRECT CALCULATION; FEW BODY SYSTEMS; GENERAL RELATIVITY; HAMILTONIAN SYSTEMS; PLANETARY MOTION; PYTHON; SIMULATION AND VISUALIZATIONS; STEP-SIZE CONTROLS;

MERCURY (METAL);

EID: 84898414975     PISSN: 15219615     EISSN: None     Source Type: Journal    
DOI: 10.1109/MCSE.2013.73     Document Type: Article

References (13)

1. M.J. Romanelli, "Runge-Kutta Methods for the Solution of Ordinary Differential Equations," Mathematical Methods for Digital Computers, A. Ralston and H.S. Wiff, eds., Wiley, 1960, pp. 110-120.
2. H. Goldstein, C. Poole, and J. Safko, Classical Mechanics, Addison Wesley, 2002.
3. L. Verlet, "Computer 'Experiments' on Classical Fluids. I. Thermodynamical Properties of Lennard-Jones Molecules," Physical Review, vol. 159, no. 1, 1967, pp. 98-103.
4. E. Forest and R. Ruth, "Fourth-Order Symplectic Integration," Physica D, vol. 43, 1990, pp. 105-117.
5. H. Yoshida, "Construction of Higher Order Symplectic Integrators," Physics Letters A, vol. 150, 1990, pp. 262-268.
6. S. Blanes, F. Casas, and A. Murua, "Splitting and Composition Methods in the Numerical Integration of Differential Equations," Boletín de la Sociedad Española de Matemática Aplicada, vol. 45, 2008, pp. 89-145.
7. S. Mikkola and S. Aarseth, "A Time-Transformed Leapfrog Scheme. Integration of Few-Body Systems with Large Mass Ratios," Celestial Mechanics and Dynamical Astronomy, vol. 84, no. 4, 2002, pp. 343-354. (Pubitemid 37132127)
8. G.M. Clemence, "The Relativity Effect in Planetary Motions," Reviews Modern Physics, vol. 19, no. 4, 1947, pp. 361-364.
9. P.F. Dubois, "Python: Batteries Included," Computing in Science and Eng., vol. 9, no. 3, 2007, pp. 7-9. (Pubitemid 46646859)
10. Computing in Science and Eng., special issue on scientific computing with Python, May/June 2007; www.computer.org/csdl/mags/cs/2007/03/index.html.
11. D. Scherer, P. Dubois, and B. Sherwood, "VPython: 3D Interactive Scientific Graphics for Students," Computing in Science and Eng., vol. 2, no. 5, 2000, pp. 56-62.
12. M.G. Stewart, "Precession of the Perihelion of Mercury's Orbit," American J. Phys., vol. 73, no. 8, 2005, pp. 730-734. (Pubitemid 41335622)
13. D. Hestenes, New Foundations for Classical Mechanics, Kluwer, 1999.