{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "5e3af384",
   "metadata": {},
   "source": [
    "id: notebooks/00_general.ipynb\n",
    "\n",
    "project overview: describes the project as a whole, with the goal of realising a VLB interferometer with an 11.5 km baseline"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3b63820e",
   "metadata": {},
   "source": [
    "<!-- notebooks/00_general.ipynb -- project overview (Interferosim 0.3.1) -->\n",
    "# 00 – Interferosim: project overview\n",
    "\n",
    "---\n",
    "  DI Erich Schubert, 07925151\n",
    "  \n",
    "\n",
    "\n",
    "**Interferosim** is an open-source simulator for radio interferometry with interactive notebooks for teaching (a project of the University of Vienna, OSSDA). Its practical goal is the realisation of a **very-long-baseline interferometer (VLBI) with an 11.5 km baseline** between two independent stations – Wilhelmsburg and Michelbach (Lower Austria) – at the HI line (1420 MHz) and the OH lines (1612–1720 MHz).\n",
    "\n",
    "The simulator models every step of this instrument *before* it is built: the sky, the antennas and receivers, the signals the SDRs record, the correlation, the image. Each step is a package of the Python library and a notebook in this folder.\n",
    "\n",
    "This notebook explains\n",
    "1. what an interferometer measures and why a long baseline,\n",
    "2. what makes the system a *VLB* interferometer (independent stations, recorded data, offline correlation),\n",
    "3. the key figures of the 11.5 km baseline: resolution, delay, fringe rate, data rate,\n",
    "4. the requirements on clocks and timing,\n",
    "5. the expected sensitivity,\n",
    "6. the road map of the project and the notebooks."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "06daa40f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-31T11:52:31.352205Z",
     "iopub.status.busy": "2026-10-31T11:52:31.351830Z",
     "iopub.status.idle": "2026-10-31T11:52:32.826612Z",
     "shell.execute_reply": "2026-10-31T11:52:32.824820Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "interferosim 0.3.1\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "from pathlib import Path\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import interferosim\n",
    "from interferosim.constants import C_LIGHT, HI_21CM, OH_1665, OMEGA_SIDEREAL, LINES\n",
    "from interferosim.instrument import Antenna, Receiver, Site, Station, Array\n",
    "from interferosim.plotting import plot_array\n",
    "from interferosim.sky import SkyModel\n",
    "\n",
    "CFG = Path(\"..\") / \"configs\"\n",
    "print(\"interferosim\", interferosim.__version__)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8aec491f",
   "metadata": {},
   "source": [
    "## 1. Goal and principle\n",
    "\n",
    "A single antenna of diameter $D$ resolves angles of about $\\lambda/D$. At 21 cm a 3 m dish has a beam of almost 5° – ten times the diameter of the Sun. To resolve finer detail the aperture would have to grow to kilometres.\n",
    "\n",
    "An **interferometer** replaces the large aperture by two (or more) small antennas a distance $b$ apart. It does not measure an image but one **Fourier component** of the sky brightness, the *visibility* $V(u,v)$ at the spatial frequency $u = b/\\lambda$ (van Cittert–Zernike theorem). Its angular resolution is\n",
    "\n",
    "$$\\theta \\approx \\frac{\\lambda}{b}.$$\n",
    "\n",
    "The Earth's rotation turns the projected baseline during the day, so one baseline samples many $(u,v)$ points (*Earth rotation synthesis*); from them an image is reconstructed and deconvolved (CLEAN). Theory: documentation, part *Theory*; notebooks A (fringes) and B (Fourier transformation and correlation)."
   ]
  },
  {
   "attachments": {
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"
    }
   },
   "cell_type": "markdown",
   "id": "bde16c3d",
   "metadata": {},
   "source": [
    "![Array of J antennas](attachment:array_geometry.png)\n",
    "\n",
    "*Array of $J$ antennas pointing at the same source.* The wavefront from the source reaches the antennas at different times; the difference between two antennas is the **geometric delay** – the projection of their **baseline** onto the source direction, divided by $c$. Each antenna sees the sky through its primary beam (main lobe and side lobes); the **field of view** (FOV) is set by the width of the main lobe. Every receiver chain has its own complex gain $g_k$ and delivers the signal $\\tilde{x}_k(t)$ – for this project the IQ samples of one B210 per station. The correlator multiplies the signals of each pair of antennas after removing the geometric delay; the averaged product is the visibility of that baseline. Figure: `docs/images/array_geometry.tex` (TikZ)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "546b6747",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-31T11:52:32.829540Z",
     "iopub.status.busy": "2026-10-31T11:52:32.829239Z",
     "iopub.status.idle": "2026-10-31T11:52:32.839130Z",
     "shell.execute_reply": "2026-10-31T11:52:32.837601Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "line    lambda [cm]  dish HPBW  lambda/b (11.5 km)  gain in resolution\n",
      "HI            21.11      4.84°              3.79\"              4,600x\n",
      "OH1665        18.00      4.13°              3.23\"              4,600x\n"
     ]
    }
   ],
   "source": [
    "dish = Antenna.from_toml(CFG / \"antennas\" / \"dish_3m.toml\")\n",
    "B_TARGET = 11_500.0                                   # m, project baseline\n",
    "print(f\"{'line':<7s} {'lambda [cm]':>11s} {'dish HPBW':>10s} {'lambda/b (11.5 km)':>19s} {'gain in resolution':>19s}\")\n",
    "for name in (\"HI\", \"OH1665\"):\n",
    "    f = LINES[name]; lam = C_LIGHT / f\n",
    "    hpbw = dish.hpbw_deg(f)                            # degrees\n",
    "    theta = np.degrees(lam / B_TARGET) * 3600          # arcsec\n",
    "    print(f\"{name:<7s} {lam * 100:11.2f} {hpbw:9.2f}° {theta:17.2f}\\\" {hpbw * 3600 / theta:18,.0f}x\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "0107c6af",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-31T11:52:32.841316Z",
     "iopub.status.busy": "2026-10-31T11:52:32.841067Z",
     "iopub.status.idle": "2026-10-31T11:52:33.618797Z",
     "shell.execute_reply": "2026-10-31T11:52:33.616820Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 850x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# angular resolution lambda/b over the baseline length, with familiar scales\n",
    "lam = C_LIGHT / HI_21CM\n",
    "b = np.logspace(0, 5, 400)\n",
    "theta_as = np.degrees(lam / b) * 3600\n",
    "fig, ax = plt.subplots(figsize=(8.5, 4.5))\n",
    "ax.loglog(b, theta_as, label=r\"interferometer, $\\lambda/b$ at 21 cm\")\n",
    "ax.axhline(dish.hpbw_deg() * 3600, color=\"C1\", ls=\"--\", label=\"3 m dish (HPBW)\")\n",
    "ax.axhline(34 * 60, color=\"C2\", ls=\":\", label=\"diameter of the Sun (34')\")\n",
    "ax.axhline(120, color=\"C4\", ls=\":\", label=\"Cygnus A, lobe separation (2')\")\n",
    "ax.axvline(B_TARGET, color=\"C3\", lw=1.2, label=\"project baseline 11.5 km\")\n",
    "ax.axvline(10, color=\"grey\", lw=1, ls=\"-.\", label=\"two horns, 10 m (notebook 08)\")\n",
    "ax.set_xlabel(\"baseline  [m]\"); ax.set_ylabel(\"angular resolution  [arcsec]\")\n",
    "ax.grid(alpha=0.3, which=\"both\"); ax.legend(fontsize=8)\n",
    "ax.set_title(\"Resolution at 1420 MHz\", fontsize=10)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3e8358dc",
   "metadata": {},
   "source": [
    "## 2. What makes it a *VLB* interferometer\n",
    "\n",
    "In a connected interferometer both antennas feed one receiver with a common local oscillator, and the signals are correlated in real time. Over 11.5 km a cable is not practical. The project therefore follows the **VLBI principle**:\n",
    "\n",
    "| Step | Connected interferometer | VLB interferometer (this project) |\n",
    "|---|---|---|\n",
    "| Reception | common receiver, common LO | one Ettus USRP B210 per station, own LO |\n",
    "| Frequency reference | shared | per station: GPS-disciplined oscillator (GPSDO) |\n",
    "| Time reference | shared clock | GPS time (PPS) at both stations |\n",
    "| Signal transport | cable | IQ samples **recorded** to disk with time stamps |\n",
    "| Correlation | in real time | **offline**: delay correction, fringe stopping, residual delay/rate search, cross spectra |\n",
    "| Result | visibilities | visibilities (same data class `VisData`) |\n",
    "\n",
    "AAS6 already contains this chain as a simulation (two stations, SDR samples, `geometry.py`, `correlate.py`); Interferosim takes it over in the packages `signal` and `observation` (notebook 03 since version 0.4, correlator in notebook 05 since version 0.6). The simulation is the test bench: every effect – geometric delay, clock offset, oscillator drift, noise – can be switched on and off before real data exist."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a41c2851",
   "metadata": {},
   "source": [
    "## 3. The baseline\n",
    "\n",
    "The project baseline Wilhelmsburg–Michelbach is 11.5 km (`configs/sites/baseline_wilhelmsburg_michelbach.toml`); notebook A of the teaching material treats it as an east–west baseline. The exact position of the Michelbach station is not yet in the configuration; the closed simulation of AAS6 uses two stations 11.1 km east–west (`aas6_sim_stations.toml`). Here the target baseline is modelled as a station 11.5 km east of Wilhelmsburg."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "4713f3a6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-31T11:52:33.621063Z",
     "iopub.status.busy": "2026-10-31T11:52:33.620844Z",
     "iopub.status.idle": "2026-10-31T11:52:34.080310Z",
     "shell.execute_reply": "2026-10-31T11:52:34.079636Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1300x450 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "site = Site.from_toml(CFG / \"sites\" / \"wilhelmsburg.toml\")\n",
    "b210 = Receiver.from_toml(CFG / \"receivers\" / \"b210.toml\")\n",
    "target = Array(site, [Station.from_enu(\"Wilhelmsburg\", site, 0.0, 0.0, 0.0, dish),\n",
    "                      Station.from_enu(\"East 11.5 km\", site, B_TARGET, 0.0, 0.0, dish)],\n",
    "               receiver=b210, name=\"Project baseline (model, east-west)\")\n",
    "aas6 = Array.from_toml(CFG / \"sites\" / \"aas6_sim_stations.toml\")\n",
    "fig, axes = plt.subplots(1, 2, figsize=(13, 4.5))\n",
    "plot_array(target, ax=axes[0]); plot_array(aas6, ax=axes[1])\n",
    "fig.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f61a67e7",
   "metadata": {},
   "source": [
    "### Key figures of the 11.5 km baseline\n",
    "\n",
    "* **Maximum geometric delay** $\\tau_\\mathrm{max} = b/c$: the wavefront reaches the stations up to 38 µs apart. The correlator must shift one stream by this delay, to a fraction of a sample.\n",
    "* **Fringe rate**: the Earth's rotation changes $\\tau_g$ continuously; the phase $2\\pi f\\tau_g$ turns at up to $\\omega_E\\,b/\\lambda$ – several turns per second, which the correlator removes (*fringe stopping*).\n",
    "* **Delay rate** $\\omega_E b/c$ and the **coherence bandwidth**: a residual delay error $\\delta\\tau$ turns the phase across the band by $2\\pi B\\,\\delta\\tau$, so the delay must be known to much better than $1/B$.\n",
    "* **Data rate**: complex samples of the B210, two numbers per sample."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "67d4679e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-31T11:52:34.083953Z",
     "iopub.status.busy": "2026-10-31T11:52:34.083670Z",
     "iopub.status.idle": "2026-10-31T11:52:34.092966Z",
     "shell.execute_reply": "2026-10-31T11:52:34.091343Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "maximum geometric delay   b/c        =    38.36 µs =   76.7 samples at 2 MS/s\n",
      "maximum delay rate        w_E b/c    = 2.80e-09 s/s\n",
      "maximum fringe rate (HI    ) w_E b/lam =     3.97 Hz\n",
      "maximum fringe rate (OH1665) w_E b/lam =     4.66 Hz\n",
      "delay accuracy for < 1 rad across 2 MHz: |dtau| < 1/(2 pi B) =     80 ns\n",
      "data rate per station, sc16 (2 x 16 bit) :   8.0 MB/s =   28.8 GB/h\n",
      "data rate per station, sc8 (2 x 8 bit)   :   4.0 MB/s =   14.4 GB/h\n"
     ]
    }
   ],
   "source": [
    "fs = b210.sample_rate_sps\n",
    "bw = b210.bandwidth_hz\n",
    "tau_max = B_TARGET / C_LIGHT\n",
    "print(f\"maximum geometric delay   b/c        = {tau_max * 1e6:8.2f} µs = {tau_max * fs:6.1f} samples at {fs / 1e6:g} MS/s\")\n",
    "print(f\"maximum delay rate        w_E b/c    = {OMEGA_SIDEREAL * tau_max:8.2e} s/s\")\n",
    "for name in (\"HI\", \"OH1665\"):\n",
    "    f = LINES[name]\n",
    "    print(f\"maximum fringe rate ({name:6s}) w_E b/lam = {OMEGA_SIDEREAL * B_TARGET * f / C_LIGHT:8.2f} Hz\")\n",
    "print(f\"delay accuracy for < 1 rad across {bw / 1e6:g} MHz: |dtau| < 1/(2 pi B) = {1e9 / (2 * np.pi * bw):6.0f} ns\")\n",
    "for fmt, bytes_per_sample in ((\"sc16 (2 x 16 bit)\", 4), (\"sc8 (2 x 8 bit)\", 2)):\n",
    "    rate = fs * bytes_per_sample\n",
    "    print(f\"data rate per station, {fmt:18s}: {rate / 1e6:5.1f} MB/s = {rate * 3600 / 1e9:6.1f} GB/h\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9ddc529b",
   "metadata": {},
   "source": [
    "## 4. Clocks and timing\n",
    "\n",
    "With independent stations every error of the frequency reference appears as a phase drift of the fringe: a relative frequency error $y$ shifts the LO by $\\Delta f = y\\,f$, and the phase turns by one radian in $t_1 = 1/(2\\pi\\,y f)$. Coherent integration is only possible over times shorter than that – longer integration must be split and averaged incoherently, or the drift must be solved by a fringe-rate search.\n",
    "\n",
    "Values of the B210 data sheet: internal TCXO ±2 ppm, GPS-locked < 1 ppb (absolute accuracy). The short-term stability of a good disciplined OCXO or rubidium standard is of the order $10^{-11}$–$10^{-12}$ (typical values, to be checked for the chosen device). The GPS PPS of a locked GPSDO is within about 50 ns of GPS time – of the same order as the delay accuracy required for 2 MHz above, so a residual delay search in the correlator remains necessary."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "757527d0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-31T11:52:34.095741Z",
     "iopub.status.busy": "2026-10-31T11:52:34.095479Z",
     "iopub.status.idle": "2026-10-31T11:52:34.101882Z",
     "shell.execute_reply": "2026-10-31T11:52:34.101308Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "frequency reference                           y  LO offset at 1420 MHz     t(1 rad)\n",
      "B210 internal TCXO (data sheet)           2e-06            2.84e+03 Hz      0.06 ms\n",
      "B210 GPS-locked (data sheet, absolute)    1e-09                1.42 Hz    112.05 ms\n",
      "disciplined OCXO, short term (typical)    1e-11              0.0142 Hz       11.2 s\n",
      "rubidium / H-maser class (typical)        1e-12             0.00142 Hz      112.0 s\n"
     ]
    }
   ],
   "source": [
    "print(f\"{'frequency reference':<38s} {'y':>8s} {'LO offset at 1420 MHz':>22s} {'t(1 rad)':>12s}\")\n",
    "for label, y in ((\"B210 internal TCXO (data sheet)\", 2e-6),\n",
    "                 (\"B210 GPS-locked (data sheet, absolute)\", 1e-9),\n",
    "                 (\"disciplined OCXO, short term (typical)\", 1e-11),\n",
    "                 (\"rubidium / H-maser class (typical)\", 1e-12)):\n",
    "    df = y * HI_21CM\n",
    "    t1 = 1 / (2 * np.pi * df)\n",
    "    t_txt = f\"{t1 * 1e3:9.2f} ms\" if t1 < 1 else f\"{t1:9.1f} s\"\n",
    "    print(f\"{label:<38s} {y:8.0e} {df:19.3g} Hz {t_txt:>12s}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b3a32ba2",
   "metadata": {},
   "source": [
    "Consequence for the design: a free-running TCXO is unusable (kHz offset); a GPSDO at each station is the minimum, and the correlator must search delay **and** fringe rate (AAS6 `correlate.delay_rate_search`). How long one can integrate coherently with the chosen references is one of the questions the simulation (packages `signal`, `observation`) is built to answer.\n",
    "\n",
    "## 5. Sensitivity\n",
    "\n",
    "Two 3 m dishes with the B210 ($T_\\mathrm{sys} = 120$ K, 2 MHz): noise of one visibility and the expected signal-to-noise ratio for the sky models of notebook 01 at transit on the 11.5 km east–west baseline. Most sources are resolved on this baseline (notebook 02, *choice of the baseline length*); compact structure such as the hotspots of Cygnus A remains."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "5ec63296",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-31T11:52:34.105592Z",
     "iopub.status.busy": "2026-10-31T11:52:34.105334Z",
     "iopub.status.idle": "2026-10-31T11:52:34.120943Z",
     "shell.execute_reply": "2026-10-31T11:52:34.120189Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "u = b/lambda = 54,487 wavelengths\n",
      "  sigma_V(   10 s) =   12.35 Jy\n",
      "  sigma_V(   60 s) =    5.04 Jy\n",
      "  sigma_V(  600 s) =    1.59 Jy\n",
      "  sigma_V( 3600 s) =    0.65 Jy\n",
      "\n",
      "source        S [Jy]  |V| at 11.5 km [Jy]  S/N 10 min\n",
      "cas_a           1636                 0.02         0.0\n",
      "cyg_a           1556                18.69        11.7\n",
      "tau_a            806                 0.00         0.0\n",
      "vir_a            210                 4.97         3.1\n",
      "orion_a          400                 0.00         0.0\n",
      "sun_21cm      476200                12.74         8.0\n"
     ]
    }
   ],
   "source": [
    "lam = C_LIGHT / HI_21CM\n",
    "u = B_TARGET / lam\n",
    "print(f\"u = b/lambda = {u:,.0f} wavelengths\")\n",
    "for t in (10, 60, 600, 3600):\n",
    "    print(f\"  sigma_V({t:5d} s) = {b210.baseline_sigma_jy(dish, dish, t):7.2f} Jy\")\n",
    "print(f\"\\n{'source':<10s} {'S [Jy]':>9s} {'|V| at 11.5 km [Jy]':>20s} {'S/N 10 min':>11s}\")\n",
    "for n in (\"cas_a\", \"cyg_a\", \"tau_a\", \"vir_a\", \"orion_a\", \"sun_21cm\"):\n",
    "    s = SkyModel.from_json(CFG / \"skies\" / f\"{n}.json\")\n",
    "    V = abs(s.visibility(u, 0.0))\n",
    "    print(f\"{n:<10s} {s.total_flux_jy:9.0f} {V:20.2f} {V / b210.baseline_sigma_jy(dish, dish, 600):11.1f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0bbdb3cc",
   "metadata": {},
   "source": [
    "The numbers show the central challenge of the project: on 11.5 km the strong sources are largely resolved, and the remaining compact flux needs long integration – which requires stable clocks (section 4). Shorter test baselines (notebook 02) and the Sun with two horns (notebook 08) are the steps towards it.\n",
    "\n",
    "## 6. Road map\n",
    "\n",
    "| Version | Package | Content | Notebooks |\n",
    "|---|---|---|---|\n",
    "| 0.2 | `sky` | sky models, known regions, maps, visibilities | 01 |\n",
    "| 0.3 | `instrument` | antennas, B210, sites, stations, arrays, sensitivity | 02 |\n",
    "| 0.4 | `signal`, `observation.geometry` | IQ simulation of all stations incl. clock errors and quantisation, geometric delay, uvw | 03 |\n",
    "| 0.5 | `observation`, `visdata` | uv-tracks, visibilities with noise, transit, visibility data class | 04 (A) |\n",
    "| 0.6 | `signal` (correlator) | FX correlator: cross spectra, delay/rate search | 05 (B, C) |\n",
    "| 0.7 | `imaging` | gridding, weighting, dirty image and beam | 06 |\n",
    "| 0.8 | `deconvolution` | Högbom CLEAN, Wiener filter, restoration | 07 |\n",
    "| 0.9 | `sky` (spectra) | continuum and line spectra (HI, OH) | 09 |\n",
    "| later | `io`, `widgets` | FITS, real B210 recordings, correlation of measured data | 08 |\n",
    "\n",
    "Status of the notebooks: `notebooks/README.md`. Documentation: LaTeX (`docs/`, chapter *Project Description*) and Sphinx (`docs/sphinx/`)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b879081c",
   "metadata": {},
   "source": [
    "## 7. Working with the notebooks\n",
    "\n",
    "* Start: `jupyter lab notebooks`, kernel *Python (interferosim)* (project environment `.venv`, see README).\n",
    "* Every notebook loads its parameters from `configs/` – change a TOML or JSON file, re-run, compare.\n",
    "* The last section of each notebook is an interactive **selector** (ipywidgets); it needs a running kernel. Static figures above it show the results also on GitHub.\n",
    "* Units: SI, flux densities in Jy, angles in degrees unless stated; positions WGS84."
   ]
  }
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