sling_ode

sling_ode, a MATLAB code which sets up and solves a system of ordinary differential equations (ODE) for which the exact circular solution can only be approximated for a short interval before it spirals to the origin.

A parameter S has the default value 1, and corresponds to rapid decay of the solution. If S is decreased towards 0, the computed solution is better able to stay close to the exact circular path. Once S becomes negative, however, the approximated solutions will tend to spiral out to infinity.

Licensing:

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

Languages:

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

Related Data and codes:

sling_ode_test

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

Source Code:

• sling_conserved.m, evaluates a quantity that should be conserved for the ODE.
• sling_deriv.m, returns the right hand side of the ODE.
• sling_parameters.m, returns parameters for the ODE.