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Secular Acceleration as a Deterministic Long-term Trend in Precision Exoplanet Radial-velocity Time Series

  • Authors: Szilárd Csizmadia

Szilárd Csizmadia 2026 Research Notes of the AAS 10 .

  • Provider: AAS Journals

Caption: Figure 1.

Schematic illustration of the geometry of secular acceleration. The star moves with constant velocity v along a straight trajectory relative to the observer. At the present-day position, the line-of-sight distance is d, and the velocity decomposes into radial and tangential components, vr and ﹩{v}_{{\rm{\tan }}}﹩. The point of closest approach lies at the perpendicular distance ﹩{d}_{{\rm{\min }}}﹩ from the observer. Although v is constant, the projection onto the instantaneous line of sight changes with time, producing a secular drift of the measured radial velocity.

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