{ "cells": [ { "cell_type": "markdown", "id": "a395301a", "metadata": {}, "source": [ "# X-Band Downlink Link Budget: 600 km SSO to Ground Station\n", "\n", "Demonstration of the **missiontools** `Link` class for RF link budget analysis.\n", "\n", "**Scenario**\n", "- 600 km sun-synchronous orbit (LTAN 10:30), nadir-pointing\n", "- X-band downlink at 8 250 MHz, 60 Mbps\n", "- Ground station: Kiruna Space Centre, Sweden (67.9°N, 21.0°E)\n", "- Modulation: QPSK, rate-3/4 turbo FEC — required Eb/N₀ = 7.0 dB\n", "- Availability target: 99.9 % (ITU-R P.618 atmospheric attenuation applied)" ] }, { "cell_type": "code", "execution_count": 1, "id": "b6957e9d", "metadata": { "execution": { "iopub.execute_input": "2026-03-08T03:45:37.338691Z", "iopub.status.busy": "2026-03-08T03:45:37.338142Z", "iopub.status.idle": "2026-03-08T03:45:39.694075Z", "shell.execute_reply": "2026-03-08T03:45:39.692371Z" } }, "outputs": [], "source": [ "import warnings\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from missiontools import Spacecraft, GroundStation, Link\n", "from missiontools.comm import SymmetricAntenna\n", "from missiontools.attitude import AttitudeLaw\n", "from missiontools.orbit.propagation import propagate_analytical\n", "from missiontools.orbit.frames import geodetic_to_ecef, eci_to_ecef\n", "import itur" ] }, { "cell_type": "markdown", "id": "9624d0f2", "metadata": {}, "source": [ "## 1. Link Parameters" ] }, { "cell_type": "code", "execution_count": 2, "id": "718bec5e", "metadata": { "execution": { "iopub.execute_input": "2026-03-08T03:45:39.698470Z", "iopub.status.busy": "2026-03-08T03:45:39.698058Z", "iopub.status.idle": "2026-03-08T03:45:39.709011Z", "shell.execute_reply": "2026-03-08T03:45:39.706772Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Frequency : 8.2500 GHz\n", "Data rate : 60 Mbps (10·log₁₀(Rb) = 77.8 dB)\n", "TX power : 8 W (9.0 dBW)\n", "RX dish : 3.7 m (η = 0.6, T_sys = 100 K)\n", "Required Eb/N0 : 7.0 dB\n", "Impl. loss : 2.0 dB\n" ] } ], "source": [ "# Waveform / link parameters\n", "FREQ_HZ = 8.25e9 # centre frequency (Hz) — ITU-R EO downlink band\n", "DATA_RATE = 60e6 # data rate (bit/s)\n", "TX_POWER_W = 8.0 # transmit power (W) — solid-state PA, X-band\n", "TX_POWER_DBW = 10 * np.log10(TX_POWER_W)\n", "DISH_DIAM = 3.7 # receive dish diameter (m) — Kiruna tracking station\n", "DISH_EFF = 0.6 # dish aperture efficiency\n", "T_SYS_K = 100.0 # system noise temperature (K) — subarctic + cryogenic LNA\n", "REQ_EB_N0 = 7.0 # required Eb/N0 (dB) — QPSK + rate-3/4 FEC, BER = 10⁻⁷\n", "IMPL_LOSS = 2.0 # implementation loss (dB)\n", "\n", "print(f\"Frequency : {FREQ_HZ/1e9:.4f} GHz\")\n", "print(f\"Data rate : {DATA_RATE/1e6:.0f} Mbps (10·log₁₀(Rb) = {10*np.log10(DATA_RATE):.1f} dB)\")\n", "print(f\"TX power : {TX_POWER_W:.0f} W ({TX_POWER_DBW:.1f} dBW)\")\n", "print(f\"RX dish : {DISH_DIAM:.1f} m (η = {DISH_EFF}, T_sys = {T_SYS_K:.0f} K)\")\n", "print(f\"Required Eb/N0 : {REQ_EB_N0:.1f} dB\")\n", "print(f\"Impl. loss : {IMPL_LOSS:.1f} dB\")" ] }, { "cell_type": "markdown", "id": "6e72dfa5", "metadata": {}, "source": [ "## 2. Spacecraft, Ground Station and Antennas\n", "\n", "The transmit antenna is a shaped Earth-coverage beam mounted along the spacecraft\n", "nadir axis (body-z). The gain pattern is designed to remain high across the full\n", "Earth disk visible from 600 km (half-angle ≈ 66°) and roll off sharply beyond it.\n", "\n", "The receive antenna is a **3.7 m parabolic reflector** modelled with\n", "`SymmetricAntenna.from_parabolic` (uniformly illuminated aperture, η = 0.6).\n", "The dish tracks the spacecraft via `AttitudeLaw.track`, so it is always on\n", "boresight and receive gain equals the peak value at every timestep. The system\n", "G/T is derived from the dish peak gain and the assumed system noise temperature." ] }, { "cell_type": "code", "execution_count": 3, "id": "1ab4c660", "metadata": { "execution": { "iopub.execute_input": "2026-03-08T03:45:39.714454Z", "iopub.status.busy": "2026-03-08T03:45:39.713999Z", "iopub.status.idle": "2026-03-08T03:45:39.730181Z", "shell.execute_reply": "2026-03-08T03:45:39.728876Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Orbit : 607 km SSO, i = 97.79°, LTAN 10:30\n", "Ground station : Kiruna (67.86°N, 20.97°E, 390 m a.s.l.)\n", "TX antenna : peak 12 dBi, body-z (nadir boresight)\n", "RX antenna : 3.7 m parabolic (η = 0.6), peak 47.9 dBi, tracking SC\n", "RX G/T : 27.9 dB/K (T_sys = 100 K)\n" ] } ], "source": [ "EPOCH = np.datetime64('2025-06-21T00:00:00', 'us') # June solstice\n", "\n", "# Spacecraft\n", "sc = Spacecraft.sunsync(altitude_km=600.0, node_solar_time='10:30', epoch=EPOCH)\n", "sc.attitude_law = AttitudeLaw.nadir()\n", "\n", "# TX antenna — Earth coverage beam, nadir-mounted (body-z)\n", "tx_angles = np.array([ 0, 30, 55, 65, 70, 80, 90], dtype=float) # off-boresight (°)\n", "tx_gains = np.array([ 12, 12, 11, 9, 4, -3, -10], dtype=float) # gain (dBi)\n", "tx = SymmetricAntenna(tx_angles, tx_gains, body_vector=[0, 0, 1])\n", "sc.add_antenna(tx)\n", "\n", "# Ground station: Kiruna Space Centre, Sweden\n", "gs = GroundStation(lat=67.86, lon=20.97, alt=390)\n", "\n", "# RX: 3.7 m parabolic dish, tracking the spacecraft\n", "rx = SymmetricAntenna.from_parabolic(DISH_DIAM, FREQ_HZ, eff=DISH_EFF,\n", " attitude_law=AttitudeLaw.track(sc))\n", "gs.add_antenna(rx)\n", "\n", "# G/T derived from dish peak gain and system noise temperature\n", "G_T_DB_K = rx.peak_gain_dbi - 10.0 * np.log10(T_SYS_K)\n", "\n", "alt_km = (sc.a - 6_371_000) / 1e3\n", "print(f\"Orbit : {alt_km:.0f} km SSO, i = {np.degrees(sc.i):.2f}°, LTAN 10:30\")\n", "print(f\"Ground station : Kiruna ({gs.lat}°N, {gs.lon}°E, {gs.alt} m a.s.l.)\")\n", "print(f\"TX antenna : peak {tx.gains_dbi[0]:.0f} dBi, body-z (nadir boresight)\")\n", "print(f\"RX antenna : {DISH_DIAM:.1f} m parabolic (η = {DISH_EFF}), \"\n", " f\"peak {rx.peak_gain_dbi:.1f} dBi, tracking SC\")\n", "print(f\"RX G/T : {G_T_DB_K:.1f} dB/K (T_sys = {T_SYS_K:.0f} K)\")\n", "\n", "# Link\n", "link = Link(\n", " tx=tx, rx=rx,\n", " tx_power_dbw=TX_POWER_DBW,\n", " frequency_hz=FREQ_HZ,\n", " data_rate_bps=DATA_RATE,\n", " rx_gt_db_k=G_T_DB_K,\n", " required_eb_n0_db=REQ_EB_N0,\n", " implementation_loss_db=IMPL_LOSS,\n", " use_p618=True,\n", ")" ] }, { "cell_type": "code", "execution_count": 4, "id": "dc4b1c33", "metadata": { "execution": { "iopub.execute_input": "2026-03-08T03:45:39.733724Z", "iopub.status.busy": "2026-03-08T03:45:39.733397Z", "iopub.status.idle": "2026-03-08T03:45:40.161531Z", "shell.execute_reply": "2026-03-08T03:45:40.159490Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Gain at 5° elevation (65.4° off nadir): 8.6 dBi\n" ] } ], "source": [ "# Earth disk half-angle from 600 km altitude\n", "R_E = 6_371_000.0\n", "H = sc.a - R_E\n", "disk_half_deg = np.degrees(np.arcsin(R_E / (sc.a))) # nadir angle at horizon\n", "el5_nadir = np.degrees(np.arcsin(R_E * np.cos(np.radians(5)) / sc.a)) # nadir @ 5° el\n", "\n", "angles_fine = np.linspace(0, 90, 400)\n", "gains_fine = np.interp(angles_fine, tx.angles_deg, tx.gains_dbi)\n", "\n", "fig, ax = plt.subplots(figsize=(7, 4))\n", "ax.plot(angles_fine, gains_fine, linewidth=2, color='tab:blue', label='TX pattern')\n", "ax.axvline(disk_half_deg, color='grey', linestyle='--', linewidth=1.0,\n", " label=f'Earth horizon ({disk_half_deg:.1f}°)')\n", "ax.axvline(el5_nadir, color='tab:red', linestyle='--', linewidth=1.0,\n", " label=f'5° elevation target ({el5_nadir:.1f}° off nadir)')\n", "ax.set_xlabel('Off-boresight (off-nadir) angle (°)')\n", "ax.set_ylabel('Gain (dBi)')\n", "ax.set_title('Spacecraft TX antenna — Earth coverage pattern')\n", "ax.legend(loc='lower left')\n", "ax.set_xlim(0, 90)\n", "ax.grid(True, alpha=0.3)\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "g_at_5deg = float(np.interp(el5_nadir, tx.angles_deg, tx.gains_dbi))\n", "print(f\"Gain at 5° elevation ({el5_nadir:.1f}° off nadir): {g_at_5deg:.1f} dBi\")" ] }, { "cell_type": "code", "execution_count": 5, "id": "unix1sqcrug", "metadata": { "execution": { "iopub.execute_input": "2026-03-08T03:45:40.172451Z", "iopub.status.busy": "2026-03-08T03:45:40.171897Z", "iopub.status.idle": "2026-03-08T03:45:40.531539Z", "shell.execute_reply": "2026-03-08T03:45:40.530309Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Peak gain : 47.9 dBi\n", "HPBW : 0.579°\n", "First null : 0.687°\n", "G/T : 27.9 dB/K (T_sys = 100 K)\n" ] } ], "source": [ "_lam = 299_792_458.0 / FREQ_HZ\n", "\n", "# –3 dB half-beamwidth: [2J₁(u)/u]² = 0.5 at u ≈ 1.616\n", "hpbw_half_deg = np.degrees(np.arcsin(min(1.0, 1.616 * _lam / (np.pi * DISH_DIAM))))\n", "# First null: J₁ = 0 at u = 3.8317 → sin(θ) = 1.22 λ/D\n", "theta_null_deg = np.degrees(np.arcsin(min(1.0, 1.22 * _lam / DISH_DIAM)))\n", "\n", "angles_rx_fine = np.linspace(0.0, 5.0, 3000) # zoom to main lobe + first few sidelobes\n", "gains_rx_fine = np.interp(angles_rx_fine, rx.angles_deg, rx.gains_dbi)\n", "\n", "fig, ax = plt.subplots(figsize=(8, 4))\n", "ax.plot(angles_rx_fine, gains_rx_fine - rx.peak_gain_dbi,\n", " linewidth=1.5, color='tab:green', label='Normalised pattern')\n", "ax.axvline(hpbw_half_deg, color='tab:orange', linestyle='--', linewidth=1.0,\n", " label=f'–3 dB half-beamwidth ({hpbw_half_deg:.3f}°)')\n", "ax.axvline(theta_null_deg, color='tab:red', linestyle=':', linewidth=1.0,\n", " label=f'First null ({theta_null_deg:.3f}°)')\n", "ax.axhline(-3, color='grey', linestyle='--', linewidth=0.8, alpha=0.5)\n", "ax.axhline(-13.3, color='grey', linestyle=':', linewidth=0.8, alpha=0.5,\n", " label='First sidelobe level (–13.3 dB)')\n", "ax.set_xlabel('Off-boresight angle (°)')\n", "ax.set_ylabel('Gain relative to peak (dB)')\n", "ax.set_title(f'GS RX antenna — {DISH_DIAM:.1f} m parabolic reflector, '\n", " f'{FREQ_HZ/1e9:.3f} GHz (peak {rx.peak_gain_dbi:.1f} dBi)')\n", "ax.legend(fontsize=8, loc='lower left')\n", "ax.set_xlim(0, 5)\n", "ax.set_ylim(-50, 2)\n", "ax.grid(True, alpha=0.3)\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "print(f\"Peak gain : {rx.peak_gain_dbi:.1f} dBi\")\n", "print(f\"HPBW : {2*hpbw_half_deg:.3f}°\")\n", "print(f\"First null : {theta_null_deg:.3f}°\")\n", "print(f\"G/T : {G_T_DB_K:.1f} dB/K (T_sys = {T_SYS_K:.0f} K)\")" ] }, { "cell_type": "markdown", "id": "bd13a59a", "metadata": {}, "source": [ "## 3. Contact Windows" ] }, { "cell_type": "code", "execution_count": 6, "id": "5392d2d0", "metadata": { "execution": { "iopub.execute_input": "2026-03-08T03:45:40.534125Z", "iopub.status.busy": "2026-03-08T03:45:40.533782Z", "iopub.status.idle": "2026-03-08T03:45:40.555758Z", "shell.execute_reply": "2026-03-08T03:45:40.554886Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Passes above 5° elevation in 24 h: 11\n", " Pass 1: AOS 2025-06-21T01:12:56Z dur 10.5 min max el 76.7°\n", " Pass 2: AOS 2025-06-21T02:48:44Z dur 9.8 min max el 33.1°\n", " Pass 3: AOS 2025-06-21T04:24:16Z dur 8.2 min max el 16.8°\n", " Pass 4: AOS 2025-06-21T05:59:06Z dur 7.2 min max el 12.9°\n", " Pass 5: AOS 2025-06-21T07:33:00Z dur 8.0 min max el 16.2°\n", " Pass 6: AOS 2025-06-21T09:06:52Z dur 9.7 min max el 30.8°\n", " Pass 7: AOS 2025-06-21T10:41:48Z dur 10.5 min max el 79.5° ◀ selected\n", " Pass 8: AOS 2025-06-21T12:18:31Z dur 9.5 min max el 26.0°\n", " Pass 9: AOS 2025-06-21T13:58:09Z dur 4.6 min max el 7.4°\n", " Pass 10: AOS 2025-06-21T22:12:23Z dur 5.5 min max el 8.7°\n", " Pass 11: AOS 2025-06-21T23:47:22Z dur 9.7 min max el 29.2°\n" ] } ], "source": [ "t_start = EPOCH\n", "t_end = EPOCH + np.timedelta64(1, 'D')\n", "passes = gs.access(sc, t_start, t_end, el_min=5.0, max_step=np.timedelta64(30, 's'))\n", "print(f\"Passes above 5° elevation in 24 h: {len(passes)}\")\n", "\n", "def _max_el(sc, gs, aos, los, npts=20):\n", " \"\"\"Approximate peak elevation during a pass.\"\"\"\n", " ts = aos + np.arange(npts) * ((los - aos) / (npts - 1))\n", " r_eci, _ = propagate_analytical(ts, **sc.keplerian_params, propagator_type=sc.propagator_type)\n", " r_ecef = eci_to_ecef(r_eci, ts)\n", " r_gs = geodetic_to_ecef(np.radians(gs.lat), np.radians(gs.lon), gs.alt)\n", " delta = r_ecef - r_gs\n", " rng = np.linalg.norm(delta, axis=1)\n", " lat_r, lon_r = np.radians(gs.lat), np.radians(gs.lon)\n", " up = np.array([np.cos(lat_r)*np.cos(lon_r), np.cos(lat_r)*np.sin(lon_r), np.sin(lat_r)])\n", " return float(np.degrees(np.arcsin(np.einsum('ij,j->i', delta, up) / rng)).max())\n", "\n", "max_els = [_max_el(sc, gs, *p) for p in passes]\n", "for i, ((a, l), me) in enumerate(zip(passes, max_els)):\n", " dur = (l - a) / np.timedelta64(1, 'm')\n", " mark = ' ◀ selected' if i == int(np.argmax(max_els)) else ''\n", " print(f\" Pass {i+1:>2}: AOS {str(a)[:19]}Z dur {dur:4.1f} min max el {me:4.1f}°{mark}\")\n", "\n", "best = int(np.argmax(max_els))\n", "aos, los = passes[best]" ] }, { "cell_type": "markdown", "id": "a0c8d1ae", "metadata": {}, "source": [ "## 4. Link Margin During the Pass\n", "\n", "Link margin is computed at 30-second intervals using `Link.link_margin()`, which\n", "applies free-space path loss, the spacecraft transmit antenna pattern (gain vs.\n", "nadir angle), and ITU-R P.618 atmospheric attenuation. Points where the Earth\n", "blocks the line of sight are returned as NaN." ] }, { "cell_type": "code", "execution_count": 7, "id": "45e2e3aa", "metadata": { "execution": { "iopub.execute_input": "2026-03-08T03:45:40.558392Z", "iopub.status.busy": "2026-03-08T03:45:40.558116Z", "iopub.status.idle": "2026-03-08T03:45:44.072444Z", "shell.execute_reply": "2026-03-08T03:45:44.071377Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Pass statistics (P.618 @ 99.9% availability, 8.25 GHz):\n", " Min margin : +6.0 dB at el = 5.1° (AOS/LOS)\n", " Max margin : +23.8 dB at el = 80.5° (max elevation)\n" ] } ], "source": [ "STEP = np.timedelta64(30, 's')\n", "n_pts = int((los - aos) / STEP) + 1\n", "t_pass = aos + np.arange(n_pts) * STEP\n", "\n", "# Compute link margin (P.618 loop — takes a few seconds)\n", "with warnings.catch_warnings():\n", " warnings.simplefilter('ignore')\n", " margin = link.link_margin(t_pass, availability_pct=99.9)\n", "\n", "# Elevation angle at each timestep\n", "r_sc_eci, _ = propagate_analytical(t_pass, **sc.keplerian_params, propagator_type=sc.propagator_type)\n", "r_sc_ecef = eci_to_ecef(r_sc_eci, t_pass)\n", "r_gs_ecef = geodetic_to_ecef(np.radians(gs.lat), np.radians(gs.lon), gs.alt)\n", "delta_ecef = r_sc_ecef - r_gs_ecef\n", "rng_m = np.linalg.norm(delta_ecef, axis=1)\n", "lat_r, lon_r = np.radians(gs.lat), np.radians(gs.lon)\n", "up_hat = np.array([np.cos(lat_r)*np.cos(lon_r), np.cos(lat_r)*np.sin(lon_r), np.sin(lat_r)])\n", "el_deg = np.degrees(np.arcsin(np.einsum('ij,j->i', delta_ecef, up_hat) / rng_m))\n", "t_min = (t_pass - t_pass[0]).astype('int64') / 60e6 # minutes since AOS\n", "\n", "ok = ~np.isnan(margin) # unobstructed timesteps\n", "\n", "# ── dual-axis plot ──\n", "fig, ax1 = plt.subplots(figsize=(10, 5))\n", "ax2 = ax1.twinx()\n", "\n", "ax2.fill_between(t_min[ok], el_deg[ok], alpha=0.12, color='tab:blue')\n", "ax2.plot(t_min[ok], el_deg[ok], color='tab:blue', linewidth=1.2, label='Elevation')\n", "ax2.set_ylabel('Elevation (°)', color='tab:blue')\n", "ax2.tick_params(axis='y', labelcolor='tab:blue')\n", "ax2.set_ylim(0, el_deg[ok].max() * 1.2)\n", "\n", "ax1.plot(t_min[ok], margin[ok], color='tab:orange', linewidth=2.0, label='Link margin')\n", "ax1.axhline(0, color='tab:red', linestyle='--', linewidth=1.0, alpha=0.8, label='Closure threshold (0 dB)')\n", "ax1.axhline(3, color='tab:green', linestyle=':', linewidth=1.2, alpha=0.9, label='Design target (3 dB)')\n", "ax1.set_xlabel('Time since AOS (min)')\n", "ax1.set_ylabel('Link margin (dB)', color='tab:orange')\n", "ax1.tick_params(axis='y', labelcolor='tab:orange')\n", "\n", "h1, l1 = ax1.get_legend_handles_labels()\n", "h2, l2 = ax2.get_legend_handles_labels()\n", "ax1.legend(h1 + h2, l1 + l2, loc='upper right', fontsize=9)\n", "ax1.set_title(f'X-band downlink — {str(aos)[:19]}Z | Kiruna | 99.9% availability')\n", "ax1.set_xlim(0, t_min[ok].max())\n", "ax1.grid(True, alpha=0.3)\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "print(f\"Pass statistics (P.618 @ 99.9% availability, 8.25 GHz):\")\n", "print(f\" Min margin : {margin[ok].min():+.1f} dB at el = {el_deg[ok][np.nanargmin(margin[ok])]:4.1f}° (AOS/LOS)\")\n", "print(f\" Max margin : {margin[ok].max():+.1f} dB at el = {el_deg[ok][np.nanargmax(margin[ok])]:4.1f}° (max elevation)\")" ] }, { "cell_type": "markdown", "id": "4c33c78d", "metadata": {}, "source": [ "## 5. Margin vs Elevation\n", "\n", "Plotting margin against elevation angle shows how the link budget varies as the\n", "satellite rises and sets. The colour indicates time since AOS." ] }, { "cell_type": "code", "execution_count": 8, "id": "c0858403", "metadata": { "execution": { "iopub.execute_input": "2026-03-08T03:45:44.075363Z", "iopub.status.busy": "2026-03-08T03:45:44.075057Z", "iopub.status.idle": "2026-03-08T03:45:44.354062Z", "shell.execute_reply": "2026-03-08T03:45:44.353176Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8, 5))\n", "sc_pl = ax.scatter(el_deg[ok], margin[ok], c=t_min[ok], cmap='plasma', s=35, zorder=3)\n", "ax.axhline(0, color='tab:red', linestyle='--', linewidth=1.0, alpha=0.8, label='0 dB closure')\n", "ax.axhline(3, color='tab:green', linestyle=':', linewidth=1.2, alpha=0.9, label='3 dB target')\n", "ax.set_xlabel('Elevation angle (°)')\n", "ax.set_ylabel('Link margin (dB)')\n", "ax.set_title('Link margin vs elevation angle — coloured by time since AOS')\n", "cb = plt.colorbar(sc_pl, ax=ax)\n", "cb.set_label('Time since AOS (min)')\n", "ax.legend(fontsize=9)\n", "ax.grid(True, alpha=0.3)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "a43e9214", "metadata": {}, "source": [ "## 6. Link Budget Summary\n", "\n", "The table below shows the complete link budget at a set of reference elevation\n", "angles, computed analytically from geometry. The off-nadir angle is derived\n", "from the slant-range geometry; P.618 attenuation is evaluated with ITU-R P.618\n", "at 99.9% availability." ] }, { "cell_type": "code", "execution_count": 9, "id": "b820543e", "metadata": { "execution": { "iopub.execute_input": "2026-03-08T03:45:44.356421Z", "iopub.status.busy": "2026-03-08T03:45:44.356196Z", "iopub.status.idle": "2026-03-08T03:45:44.424746Z", "shell.execute_reply": "2026-03-08T03:45:44.423616Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Link budget — 8.25 GHz | 60 Mbps | 99.9% availability | Kiruna\n", "TX: 8 W (9.0 dBW) | G/T: 27.9 dB/K | Req Eb/N0: 7.0 dB | Impl. loss: 2.0 dB\n", "\n", " El Off-nadir G_tx Range FSPL EIRP Eb/N0 P618 Margin\n", "──────────────────────────────────────────────────────────────────────────\n", " 5° 65.4° 8.6 2345km 178.2 17.6 18.1 3.20 +5.9 ◀ design point\n", " 10° 64.0° 9.2 1948km 176.6 18.2 20.4 1.59 +9.8\n", " 20° 59.1° 10.2 1406km 173.7 19.2 24.2 0.80 +14.4\n", " 30° 52.2° 11.1 1087km 171.5 20.1 27.3 0.54 +17.8\n", " 45° 40.2° 11.6 824km 169.1 20.6 30.2 0.38 +20.8\n", " 60° 27.2° 12.0 691km 167.6 21.0 32.2 0.31 +22.8\n", " 90° 0.0° 12.0 607km 166.4 21.0 33.3 0.27 +24.0\n", "──────────────────────────────────────────────────────────────────────────\n", " (°) (dBi) (dB) (dBW) (dB) (dB) (dB)\n" ] } ], "source": [ "_C = 299_792_458.0\n", "_R_E = 6_371_000.0\n", "_H = sc.a - _R_E\n", "_K = 10 * np.log10(1.380649e-23) # Boltzmann constant in dBW/K/Hz ≈ −228.6\n", "\n", "print(\"Link budget — 8.25 GHz | 60 Mbps | 99.9% availability | Kiruna\")\n", "print(f\"TX: {TX_POWER_W:.0f} W ({TX_POWER_DBW:.1f} dBW) | \"\n", " f\"G/T: {G_T_DB_K:.1f} dB/K | Req Eb/N0: {REQ_EB_N0:.1f} dB | \"\n", " f\"Impl. loss: {IMPL_LOSS:.1f} dB\")\n", "print()\n", "hdr = (f\" {'El':>3} {'Off-nadir':>9} {'G_tx':>5} {'Range':>7} \"\n", " f\"{'FSPL':>7} {'EIRP':>7} {'Eb/N0':>6} {'P618':>5} {'Margin':>7}\")\n", "print(hdr)\n", "print('─' * len(hdr))\n", "\n", "for el_v in [5, 10, 20, 30, 45, 60, 90]:\n", " el = np.radians(el_v)\n", " rng = -_R_E*np.sin(el) + np.sqrt(_R_E**2*np.sin(el)**2 + _H**2 + 2*_R_E*_H)\n", " alpha = np.degrees(np.arcsin(_R_E * np.cos(el) / (_R_E + _H)))\n", " g_tx = float(np.interp(alpha, tx.angles_deg, tx.gains_dbi))\n", " fspl = 20 * np.log10(4 * np.pi * rng * FREQ_HZ / _C)\n", " eirp = TX_POWER_DBW + g_tx\n", " c_n0 = eirp - fspl + G_T_DB_K - _K\n", " eb_n0 = c_n0 - 10 * np.log10(DATA_RATE)\n", " with warnings.catch_warnings():\n", " warnings.simplefilter('ignore')\n", " a618 = itur.atmospheric_attenuation_slant_path(\n", " gs.lat, gs.lon, FREQ_HZ / 1e9, el_v, 0.1, D=0)\n", " p618 = float(np.asarray(a618.value if hasattr(a618, 'value') else a618))\n", " mrg = eb_n0 - REQ_EB_N0 - IMPL_LOSS - p618\n", " flag = ' ◀ design point' if el_v == 5 else ''\n", " print(f\" {el_v:>3}° {alpha:>8.1f}° {g_tx:>5.1f} {rng/1e3:>6.0f}km \"\n", " f\"{fspl:>7.1f} {eirp:>7.1f} {eb_n0:>6.1f} {p618:>5.2f} {mrg:>+7.1f}{flag}\")\n", "\n", "print('─' * len(hdr))\n", "print(f\" {'':>3} {'(°)':>8} {'(dBi)':>5} {'':>7} \"\n", " f\"{'(dB)':>7} {'(dBW)':>7} {'(dB)':>6} {'(dB)':>5} {'(dB)':>7}\")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.12" } }, "nbformat": 4, "nbformat_minor": 5 }