diff --git a/src/fswAlgorithms/attControl/thrMomentumManagementCpp/thrMomentumManagementCpp.rst b/src/fswAlgorithms/attControl/thrMomentumManagementCpp/thrMomentumManagementCpp.rst index e9611a97c6..df8ee69ccb 100644 --- a/src/fswAlgorithms/attControl/thrMomentumManagementCpp/thrMomentumManagementCpp.rst +++ b/src/fswAlgorithms/attControl/thrMomentumManagementCpp/thrMomentumManagementCpp.rst @@ -95,7 +95,15 @@ Let :math:`h_{s,\text{min}}` be lower bound that the RW momentum dumping strateg }{|\boldsymbol h_{s}|} \end{equation} -This strategy requires a thruster firing solution which creates this desired :math:`{}^{\mathcal{B}}{\Delta}\boldsymbol H` over the duration of the momentum dumping. The goal of the RW momentum management module is to simply compute if a :math:`{}^{\mathcal{B}}{\Delta}\boldsymbol H` is required, or set it equal to zero if the RW momentum is too small. Not that this module will only compute :math:`{}^{\mathcal{B}}{\Delta}\boldsymbol H` once. Either it is zero or non-zero. To reuse this momentum management module, the reset() function must be called. +If a specified momentum bias :math:`\boldsymbol{h}_d` is required instead of lowering the magnitude of the reaction wheels momenta, then the required torque is approximately + +.. math:: + + \begin{equation} + {}^{\mathcal{B}}{\Delta}\boldsymbol H = {}^{\mathcal{B}}\boldsymbol{h}_d - {}^{\mathcal{B}}\boldsymbol{h}_s + \end{equation} + +This strategy requires a thruster firing solution which creates this desired :math:`{}^{\mathcal{B}}{\Delta}\boldsymbol H` over the duration of the momentum dumping. The goal of the RW momentum management module is to simply compute if a :math:`{}^{\mathcal{B}}{\Delta}\boldsymbol H` is required, or set it equal to zero if the RW momentum is too small. Note that this module will only compute :math:`{}^{\mathcal{B}}{\Delta}\boldsymbol H` once. Either it is zero or non-zero. To reuse this momentum management module, the Reset() function must be called. The Reset Method ================