sling_ode

sling_ode, a Python 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:

python_ode, Python codes which sets up various systems of ordinary differential equations (ODE).

Source Code:

• sling_ode.m, the source code.
• sling_ode.sh, runs all the tests.
• sling_ode.txt, the output file.

• sling_solve_ivp_plot_1.png, a plot of two solution components over time, for s = 1.
• sling_solve_ivp_phase_1.png, a phase plot, for s = 1.
• sling_solve_ivp_conservation_1.png, a plot of the energy over time, for s = 1.
• sling_solve_ivp_plot_0.4.png, a plot of two solution components over time, for s = 0.4.
• sling_solve_ivp_phase_0.4.png, a phase plot, for s = 0.4.
• sling_solve_ivp_conservation_0.4.png, a plot of the energy over time, for s = 0.4.