Title:
LOST in Space: Optimal Triangulation for Celestial Localization
LOST in Space: Optimal Triangulation for Celestial Localization
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Author(s)
Henry, Sébastien
Christian, John A.
Christian, John A.
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Abstract
Optical measurements are a key part of
modern interplanetary navigation. The statistically optimal
Linear Optimal Sine Triangulation (LOST) algorithm
is applied to the context of celestial navigation. In
addition to optimal triangulation methods, celestial navigation
requires the consideration or target ephemeris errors,
light aberration, and light time-of-flight. In most
cases, only light aberration and light time-of-flight change
the expected direction of the measured line-of-sight (LOS).
These effects are found to be non-negligible at typical observer
velocities (for light aberration) and planet velocities
(for light time-of-flight). The effects of the position uncertainty
of planets are only important when the observer
is close to them. The LOST framework provides a mechanism
to conveniently consider all of these effects.
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Date Issued
2022-10
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Text
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Paper
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