rigid_body_ode_test
rigid_body_ode_test,
an Octave code which
calls rigid_body_ode(), which
solves the ordinary differential equations (ODE)
representing the Euler equations for a rigid body with three
unequal moments of inertia, originally proposed by Fred Krogh.
Licensing:
The computer code and data files described and made available on this web page
are distributed under
the MIT license
Related Data and Programs:
rigid_body_ode,
an Octave code which
solves the ordinary differential equations (ODE)
representing the Euler equations for a rigid body with three
unequal moments of inertia, originally proposed by Fred Krogh.
Source Code:
-
backward_euler.m,
a backward Euler ODE solver.
-
rigid_body_backward_euler.m,
solve using backward euler() method.
-
rigid_body_backward_euler_plot.png,
time plot of x(t), y(t), z(t).
-
rigid_body_backward_euler_phase.png,
a 3D plot of (x(t), y(t), z(t)).
-
rigid_body_backward_euler_conservation_h1.png,
the conserved quantity x^2+y^2+z^2.
-
rigid_body_backward_euler_conservation_h2.png,
the conserved quantity x^2/i1+y^2/i2+z^2/i3.
-
euler.m,
an Euler ODE solver.
-
rigid_body_euler.m,
solve using Euler's method.
-
rigid_body_euler_plot.png,
time plot of x(t), y(t), z(t).
-
rigid_body_euler_phase.png,
a 3D plot of (x(t), y(t), z(t)).
-
rigid_body_euler_conservation_h1.png,
the conserved quantity x^2+y^2+z^2.
-
rigid_body_euler_conservation_h2.png,
the conserved quantity x^2/i1+y^2/i2+z^2/i3.
-
midpoint.m,
a midpoint ODE solver.
-
rigid_body_midpoint.m,
solve using midpoint().
-
rigid_body_midpoint_plot.png,
time plot of x(t), y(t), z(t).
-
rigid_body_midpoint_phase.png,
a 3D plot of (x(t), y(t), z(t)).
-
rigid_body_midpoint_conservation_h1.png,
the conserved quantity x^2+y^2+z^2.
-
rigid_body_midpoint_conservation_h2.png,
the conserved quantity x^2/i1+y^2/i2+z^2/i3.
-
rk4.m,
a Runge Kutta order 4 ODE solver.
-
rigid_body_rk4.m,
solve using Runge Kutta 4.
-
rigid_body_rk4_plot.png,
time plot of x(t), y(t), z(t).
-
rigid_body_rk4_phase.png,
a 3D plot of (x(t), y(t), z(t)).
-
rigid_body_rk4_conservation_h1.png,
the conserved quantity x^2+y^2+z^2.
-
rigid_body_rk4_conservation_h2.png,
the conserved quantity x^2/i1+y^2/i2+z^2/i3.
-
trapezoidal.m,
a trapezoidal ODE solver.
-
rigid_body_trapezoidal.m,
solve using trapezoidal().
-
rigid_body_trapezoidal_plot.png,
time plot of x(t), y(t), z(t).
-
rigid_body_trapezoidal_fsolve_phase.png,
a 3D plot of (x(t), y(t), z(t)).
-
rigid_body_trapezoidal_conservation_h1.png,
plots the conserved quantity x^2+y^2+z^2.
-
rigid_body_trapezoidal_conservation_h2.png,
the conserved quantity x^2/i1+y^2/i2+z^2/i3.
Last revised on 04 May 2021.