diff --git a/src/simulation/dynamics/facetSRPDynamicEffector/facetSRPDynamicEffector.rst b/src/simulation/dynamics/facetSRPDynamicEffector/facetSRPDynamicEffector.rst index 134d3504af..b7782454d9 100644 --- a/src/simulation/dynamics/facetSRPDynamicEffector/facetSRPDynamicEffector.rst +++ b/src/simulation/dynamics/facetSRPDynamicEffector/facetSRPDynamicEffector.rst @@ -49,16 +49,21 @@ and absorbed photons are represented using the coefficients :math:`\delta, \rho, For each articulating facet, the current facet normal vector must be computed in the spacecraft body frame :math:`\mathcal{B}`. Using the facet articulation axis :math:`\boldsymbol{\hat{s}}` and the current -facet articulation angle :math:`\phi`, the active transformation required to rotate the facet normal vector -through the current facet articulation angle is obtained using a principal rotation vector (PRV) transformation: +facet articulation angle :math:`\phi`, the DCM required to rotate from the initial facet attitude to the final +facet attitude is obtained using the principal rotation vector (PRV) transformation: .. math:: - [\mathcal{F}_0\mathcal{F}] = \text{PRV2C}(-\phi, \boldsymbol{{}^\mathcal{F} \hat{s}}) + [\mathcal{F}\mathcal{F}_0] = \text{PRV2C}(\phi, {}^\mathcal{F} \boldsymbol{\hat{s}}) -The facet normal vector can now be transformed to the spacecraft body frame: +The transformation from the spacecraft body frame to the current facet attitude can next be determined: .. math:: - {}^\mathcal{B} \boldsymbol{\hat{n}} = [\mathcal{BF_0}][\mathcal{F}_0\mathcal{F}] {}^{\mathcal{F}} \boldsymbol{\hat{n}} + [\mathcal{F}\mathcal{B}] = [\mathcal{F}\mathcal{F}_0] [\mathcal{F}_0\mathcal{B}] + +The facet normal vector can now be transformed to the spacecraft body frame using the `active` transformation: + +.. math:: + {}^\mathcal{B} \boldsymbol{\hat{n}} = [\mathcal{FB}] {}^{\mathcal{F}} \boldsymbol{\hat{n}} Next, using the provided facet information and spacecraft Sun-relative position vector :math:`\boldsymbol{r}_{\text{sc} / \odot }`, the estimated SRP force acting on the spacecraft is calculated