#!/usr/bin/env python3 # -*- coding: utf-8 -*- """ Robust outlier removal for per-satellite TLE record sequences. Why: raw TLE archives contain corrupted records (bad element fields, wrong epochs, mis-decoded mean anomaly / rev counter). These single-point outliers poison linear interpolation onto the daily grid and the angle unwrapping. The cm-tle-pred benchmark reports that outlier removal (DBSCAN on 1st/2nd-order differences of the elements) gave their single biggest accuracy gain (~2 orders of magnitude). We use a cheaper, dependency-free equivalent: flag any record whose element deviates from a time-linear interpolation of its neighbors by more than ``k_mad`` robust (MAD) scales, on the elements that should evolve smoothly. Cleaning runs on the raw record list BEFORE daily resampling / unwrapping. """ from __future__ import annotations import sys from pathlib import Path from typing import List, Tuple import numpy as np # reuse the parser's record type + helpers from the original code/utils _CODE_UTILS = Path(__file__).resolve().parents[2] / "code" / "utils" if str(_CODE_UTILS) not in sys.path: sys.path.insert(0, str(_CODE_UTILS)) from tle_future_dataset import TLERecord, signed_log1p # noqa: E402 SECONDS_PER_DAY = 86400.0 def cumulative_mean_anomaly(recs: List[TLERecord]) -> np.ndarray: """Unwrap mean anomaly into a monotone cumulative phase (deg). Revolution count between epochs is disambiguated with the mean motion (rev/day), which is far more reliable than the TLE rev-counter field. """ n = len(recs) phi = np.empty(n, dtype=np.float64) phi[0] = recs[0].mean_anomaly_deg for i in range(1, n): dt_days = (recs[i].epoch_unix - recs[i - 1].epoch_unix) / SECONDS_PER_DAY n_avg = 0.5 * (recs[i].mean_motion_rev_per_day + recs[i - 1].mean_motion_rev_per_day) predicted = phi[i - 1] + n_avg * dt_days * 360.0 m_i = recs[i].mean_anomaly_deg k = round((predicted - m_i) / 360.0) phi[i] = 360.0 * k + m_i return phi def _neighbor_interp_resid(t: np.ndarray, x: np.ndarray) -> np.ndarray: """Residual of each interior point vs a time-linear interp of its neighbors.""" resid = np.zeros_like(x, dtype=np.float64) if len(x) < 3: return resid t0, t1, t2 = t[:-2], t[1:-1], t[2:] denom = np.where((t2 - t0) == 0, 1.0, (t2 - t0)) w = (t1 - t0) / denom x_hat = x[:-2] + (x[2:] - x[:-2]) * w resid[1:-1] = x[1:-1] - x_hat return resid def _mad(v: np.ndarray) -> float: v = v[np.isfinite(v)] if v.size == 0: return 0.0 med = np.median(v) return float(1.4826 * np.median(np.abs(v - med))) def clean_records( recs: List[TLERecord], k_mad: float = 6.0, max_passes: int = 2, ) -> Tuple[List[TLERecord], int]: """Remove single-point outlier records. Returns (cleaned, n_removed). Flags the union of outliers across the smoothly-evolving quantities: mean motion, inclination, eccentricity, bstar(log), and the cumulative / unwrapped angles (mean anomaly phase, RAAN, argp). """ recs = sorted(recs, key=lambda r: r.epoch_unix) removed = 0 for _ in range(max_passes): n = len(recs) if n < 5: break t = np.array([r.epoch_unix for r in recs], dtype=np.float64) series = { "mm": np.array([r.mean_motion_rev_per_day for r in recs]), "inc": np.array([r.inclination_deg for r in recs]), "ecc": np.array([r.eccentricity for r in recs]), "bstar": np.array([signed_log1p(r.bstar) for r in recs]), "phiM": cumulative_mean_anomaly(recs), "raan": np.degrees(np.unwrap(np.radians([r.raan_deg for r in recs]))), "argp": np.degrees(np.unwrap(np.radians([r.argp_deg for r in recs]))), } flag = np.zeros(n, dtype=bool) for s in series.values(): resid = _neighbor_interp_resid(t, s) scale = _mad(resid[1:-1]) if scale > 0: flag |= np.abs(resid) > (k_mad * scale) flag[0] = flag[-1] = False # keep endpoints (no two-sided neighbors) if not flag.any(): break recs = [r for r, bad in zip(recs, flag) if not bad] removed += int(flag.sum()) return recs, removed