Unscented filtering for directly-observed exoplanet orbits

Stojanovski, Zvonimir; Savransky, Dmitry

doi:10.1117/12.2629663

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2024

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“…We used the STROUD library (Burkardt 2014) for generating the Stroud cubature points and weights, and we used LAPACK (Anderson et al 1999) for matrix decompositions. The complete NEXO code is available on GitHub (Stojanovski & Savransky 2023).…”

Section: Methodsmentioning

confidence: 99%

The Nonsingular Estimator for Exoplanet Orbits: An Unscented Batch Estimation Method for Direct Imaging Measurements

Stojanovski,

Savransky

2024

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We present a new method for fitting exoplanet orbits to direct astrometric measurements, using nonlinear batch estimation and nonsingular orbital elements. Our estimation technique is based on the unscented transform, which approximates probability distributions using finite, deterministic sets of weighted sample points. Furthermore, we use Gaussian mixtures to account for the strong nonlinearities in the measurement model. As a fitting basis, we use a set of orbital elements developed specifically for directly observed exoplanets, combining features of the Thiele–Innes constants and the Cohen–Hubbard nonsingular elements. We validate the new method using simulated exoplanet orbits, and we demonstrate its use with real exoplanet data. Compared to state-of-the-art Markov Chain Monte Carlo and Bayesian rejection sampling techniques, the new method is found to give orbit estimates of comparable or higher accuracy but with much faster execution.

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Section: Methodsmentioning

confidence: 99%