rigidbody¶
- probnum.problems.zoo.diffeq.rigidbody(t0=0.0, tmax=20.0, y0=None, params=(- 2.0, 1.25, - 0.5))[source]¶
Initial value problem (IVP) for rigid body dynamics without external forces.
The rigid body dynamics without external forces is defined through
\[\begin{split}f(t, y) = \begin{pmatrix} a y_2 y_3 \\ b y_1 y_3 \\ c y_1 y_2 \end{pmatrix}\end{split}\]for parameters \((a, b, c)\). This implementation includes the Jacobian \(J_f\) of \(f\).
- Parameters
t0 – Initial time.
tmax – Final time.
y0 – (shape=(3, )) – Initial value. Defaults to
[1., 0., 0.9].params – Parameters
(a, b, c)of the rigid body problem.
- Returns
InitialValueProblem object describing the rigid body dynamics IVP with the prescribed configuration.
- Return type