Unscented filtering for directly observed exoplanet orbits

Zvonimir Stojanovski; Dmitry Savransky

doi:10.1117/12.2629663

27 August 2022 Unscented filtering for directly observed exoplanet orbits

Zvonimir Stojanovski, Dmitry Savransky

Proceedings Volume 12180, Space Telescopes and Instrumentation 2022: Optical, Infrared, and Millimeter Wave; 121805G (2022) https://doi.org/10.1117/12.2629663
Event: SPIE Astronomical Telescopes + Instrumentation, 2022, Montréal, Québec, Canada

Conference Poster

Abstract

We present a new method for exoplanet orbit fitting from direct observations, based on the unscented Kalman filter and a new set of orbital elements. These elements are nonsingular, and every possible set of values describes an elliptic orbit, making them well-suited to an unconstrained filter; they combine features of the Cohen-Hubbard nonsingular elements, as well as the Thiele-Innes constants. To obtain higher accuracy, we apply multiple filter passes with the same measurements, and we use a seventh-order Gaussian cubature rule to generate the sample points. We test this method using simulations of an exoplanet’s orbit and astrometric measurements.

Citation Download Citation

Zvonimir Stojanovski and Dmitry Savransky "Unscented filtering for directly observed exoplanet orbits", Proc. SPIE 12180, Space Telescopes and Instrumentation 2022: Optical, Infrared, and Millimeter Wave, 121805G (27 August 2022); https://doi.org/10.1117/12.2629663

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