Analytical Methods in Crater Rim Fitting and Pattern Recognition
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Abstract
Upcoming lunar missions are expected to utilize optical measurements for navigation.
View invariants enable "lost-in-space" terrain relative navigation about cratered
celestial bodies. Lunar crater rims form ellipses when imaged. Noisy measurements
of points lying along this rim will be obtained, and may be fit to an ellipse to calculate
the invariants. Hyper least squares (HLS) provides an attractive performance
benefit compared to traditional (or total) least squares for this task. An analytical
derivation of the covariance of these invariants in the presence of noise is presented,
and is used to analyze performance of the invariants in realistic situations.
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2023-08
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