diff --git a/doc/a-maths/se3.md b/doc/a-maths/se3.md index bf2efe0f06a152ed11bb5207b8a1d00dd11e4fcf..a06dee45ed421fb9ae4f35095266da200127a5c0 100644 --- a/doc/a-maths/se3.md +++ b/doc/a-maths/se3.md @@ -223,9 +223,11 @@ The joint acceleration is: \f$^2\alpha_{12} = S \dot v_q + c_J + \ ^2\nu_{1} \times \ ^2\nu_{12}\f$ where \f$c_J = \sum_{i=1}^{n_q} \dpartial{S}{q_i} \dot q_i\f$ (null in the usual cases) and \f$^2\nu_{1}\f$ is the -velocity of the parent body with respect to an absolute (Galilean) coordinate system\footnote{The abosulte velocity +velocity of the parent body with respect to an absolute (Galilean) coordinate system + +NB: The abosulte velocity \f$\nu_{1}\f$ is also the relative velocity wrt. the Galilean coordinate system \f$\Omega\f$. The exhaustive notation -should be \f$\nu_{\Omega1}\f$ but \f$\nu_1\f$ is prefered for simplicity.}. +should be \f$\nu_{\Omega1}\f$ but \f$\nu_1\f$ is prefered for simplicity. The joint calculations take as input the joint position \f$q\f$ and velocity \f$v_q\f$ and should output \f$^2M_1\f$, \f$^2\nu_{12}\f$ and \f$^2c\f$ (this last vector being often a trivial \f$0_6\f$ vector). In addition, the joint model