LOST in Space: Optimal Triangulation for Celestial Localization

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Author(s)
Henry, Sébastien
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Daniel Guggenheim School of Aerospace Engineering
The Daniel Guggenheim School of Aeronautics was established in 1931, with a name change in 1962 to the School of Aerospace Engineering
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https://hdl.handle.net/1853/74032
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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2022-10
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