kepler_ode

kepler_ode, a MATLAB code which sets up and solves the ordinary differential equations (ODE) for a Kepler two body gravitational problem.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

kepler_ode is available in a MATLAB version and an Octave version and a Python version.

Related Data and codes:

kepler_ode_test

matlab_ode, MATLAB codes which set up various ordinary differential equations (ODE).

References:

1. Ernst Hairer, Christian Lubich, Gerhard Wanner,
   Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations,
   Springer, 2006,
   ISSN: 0179-3632.

Source Code:

• kepler_conserved.m, [h1,h2]=kepler_conserved(pq) returns the conserved quantities of the ODE.
• kepler_deriv.m, dpqdt=kepler_deriv(t,pq) returns the right hand side of the ODE.
• kepler_parameters.m, returns parameters of the ODE.