Astronomical Position Analysis

Corrected Residuals (Periodic Signal Removed)

Quadratic residuals after subtracting the annual periodic component

RMS of Corrected Residuals: 9.69 μ″

Original RMS: 38.54 μ″ | Improvement: 74.9%

00.96338885086318351.92677960301163582.89017035516008844.335257434025401Time (years)-22-1101122Residual (μ″)
  • Corrected Residuals

Periodic Fit to Quadratic Residuals

Model: f(t) = A cos(ωt + φ)

Amplitude (A) = 52.57 μ″

Angular frequency (ω) = 1.991021e-7 rad/s

Phase (φ) = -0.1242 rad

Period = 1.00 years

RMS Residual: 9.69 μ″

00.96338885086318351.92677960301163582.89017035516008844.335257434025401Time (years)-70-3503570Residual (μ″)
  • Quadratic Residuals
  • Periodic Fit: A cos(ωt + φ)

Model Parameters

Linear Model: f(t) = p₀ + p₁t

p₀ = 257.4606748932°

p₁ = 5.0533463459e-11 °/s

RMS Residual: 39.54 μ″

Quadratic Model: f(t) = p₀ + p₁t + p₂t²

p₀ = 257.4606748979°

p₁ = 5.0533245925e-11 °/s

p₂ = 1.5900402102e-24 °/s²

RMS Residual: 38.54 μ″

Model Comparison

00.96338885086318351.92677960301163582.89017035516008844.335257434025401Time (years)257.46257.462257.464257.466257.468Position (°)
  • Linear Fit
  • Quadratic Fit

Residuals (Noise)

00.96338885086318351.92677960301163582.89017035516008844.335257434025401Time (years)-70-3503570Residual (μ″)
  • Linear Residuals
  • Quadratic Residuals

Residuals Table

DateTime (s)Observed (°)Linear Resid (μ″)Quad Resid (μ″)
2021-06-10 01:060257.4606749160.3743.51
2021-09-06 00:267600800257.461058997.28-3.97
2021-12-02 23:4715201660257.46144307-56.74-63.02
2022-02-28 23:0022802040257.46182715-33.43-35.41
2022-05-27 22:1030402240257.4622112458.6360.28
2022-08-23 21:2938002980257.4625953216.4521.08
2022-11-19 20:5045603840257.46297940-47.56-40.62
2023-02-15 20:0553204340257.46336348-46.08-37.49
2023-05-14 19:1560804540257.4637475745.9755.56
2023-08-10 18:3268405160257.4641316525.6235.54
2023-11-06 17:5376006020257.46451573-38.39-28.80
2024-02-02 17:0983606580257.46489981-47.83-39.23
2024-04-30 16:2091206840257.4652839033.3140.26
2024-07-27 15:3698807400257.4656679823.8828.51
2024-10-23 14:56106408200257.46605206-29.22-27.57
2025-01-19 14:12114008760257.46643614-38.66-40.64
2025-04-17 13:24121609080257.4668202331.5725.29
2025-07-14 12:38129209520257.4672043143.9632.72
2025-10-10 11:58136810320257.46758839-9.13-26.00