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[f] docs
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leahkiner committed Dec 4, 2024
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Expand Up @@ -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
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