Numerical integration of the equations of motion of celestial mechanics

Numerical treatment of ordinary differential equations by extrapolation methods

Roland Bulirsch, Josef Stoer · Numerische Mathematik · 1966 · 850 citations

Natural Sciences, Mathematics, Physics +12

Classical theory of charge transfer and ionization of hydrogen atoms by protons

R Abrines, I C Percival · Proceedings of the Physical Society · 1966 · 675 citations

Natural Sciences, Physics, Astrophysics +16

Methods of Celestial Mechanics.

Paul Herget, Dirk Brouwer, G. M. Clemence · Mathematics of Computation · 1962 · 390 citations

Natural Sciences, Geophysics, Physics +12

New Runge-Kutta algorithms for numerical simulation in dynamical astronomy

John R. Dormand, P.J. Prince · Celestial Mechanics and Dynamical Astronomy · 1978 · 119 citations

Natural Sciences, Mathematics, Physics +9

Note on the Numerical Integration of Formula

J. Hughlings Jackson · Monthly Notices of the Royal Astronomical Society · 1924 · 31 citations · Full text

Natural Sciences, Mathematics, Differential Equations +8