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Introduction of ITU Ref Atmosphere
- ITU Ref Atmosphere according to ITU-R P.835 - Adding of supportData files for atmospheric attenuation calculation for water vapour and oxygen
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‎src/architecture/utilities/ItuRefAtmosphere.cpp‎

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/*
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ISC License
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Copyright (c) 2025, Department of Engineering Cybernetics, NTNU
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Permission to use, copy, modify, and/or distribute this software for any
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purpose with or without fee is hereby granted, provided that the above
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copyright notice and this permission notice appear in all copies.
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THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
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WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
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MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
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ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
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WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
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ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
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OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
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*/
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#include "architecture/utilities/ItuRefAtmosphere.h"
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#include <cmath>
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#include <algorithm>
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// Constructor
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ItuAtmosphere::ItuAtmosphere() {
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}
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// Destructor
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ItuAtmosphere::~ItuAtmosphere() {
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}
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const ItuAtmosphere& ItuAtmosphere::instance() {
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static ItuAtmosphere inst;
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return inst;
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}
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// Getters
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double ItuAtmosphere::getTempISA(double altitude_m) {
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return instance().calcTempISA(altitude_m);
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}
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double ItuAtmosphere::getPresISA(double altitude_m) {
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return instance().calcPresISA(altitude_m);
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}
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double ItuAtmosphere::getWaterVapDensityISA(double altitude_m) {
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return instance().calcWaterVapDensityISA(altitude_m);
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}
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size_t ItuAtmosphere::findLayerIndex(double altitude_m) const {
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size_t layer_idx = NUM_LAYERS - 1;
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for (size_t i = 0; i < NUM_LAYERS - 1; ++i) {
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if (altitude_m >= ATMOSPHERE_DATA[i].h &&
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altitude_m < ATMOSPHERE_DATA[i + 1].h)
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{
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layer_idx = i;
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break;
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}
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}
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return layer_idx;
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}
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double ItuAtmosphere::geometricHeight(double altitude_m) const {
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// For altitudes above 84.852 km, convert geopotential height to geometric height
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return (R_EARTH_ITU * altitude_m * 1e-3) / (R_EARTH_ITU - altitude_m*1e-3); // ITU-R P.835-7 eq 1b
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}
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/* Calculate Temperature according to ITU-R P.835-7
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*/
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double ItuAtmosphere::calcTempISA(double altitude_m) const {
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// Clamp above model validity (85 km)
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if (altitude_m >= ATMOSPHERE_DATA[NUM_LAYERS - 1].h) {
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// if h above 84.852 km
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double Z = ItuAtmosphere::geometricHeight(altitude_m); // [km] Geometric height
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if (Z < 91.0) {
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return 186.8673; // [K] Constant temperature between 84.852 km and 91 km (ITU-R P.835-7 eq 4a)
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} else if (Z < 100.0) {
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return 263.1905 - 76.3232 * std::sqrt(1 - std::pow((Z - 91.0)/(19.9429),2)); // [K] Linear increase between 91 km and 100 km (ITU-R P.835-7 eq 4b)
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} else {
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return 195.08134; // [K] Above 100 km, assume constant temperature
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}
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}
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// Find which layer the altitude falls into (table in header file)
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size_t layer_idx = ItuAtmosphere::findLayerIndex(altitude_m);
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// Compute temperature at layer base: T_(layer_idx-1)
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double Ti = T0;
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for (size_t i = 0; i < layer_idx; ++i) {
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double h0 = ATMOSPHERE_DATA[i].h; // [m] Altitude at layer "i" base
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double h1 = ATMOSPHERE_DATA[i + 1].h; // [m] Altitude at layer "i+1" base
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double dT_dh_i = ATMOSPHERE_DATA[i].dT_dh; // [K/km] Temperature gradient in layer "i"
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Ti += dT_dh_i * (h1 - h0) * 1e-3; // [K] Temperature at top of layer "layer_idx-1"
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}
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// Linear variation within that layer
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double Hi = ATMOSPHERE_DATA[layer_idx].h; // [m] Altitude at layer "layer_idx" base
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double dT_dh = ATMOSPHERE_DATA[layer_idx].dT_dh; // [K/km] Temperature gradient in layer "layer_idx"
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return Ti + dT_dh * (altitude_m - Hi) * 1e-3; // [](ITU-R P.835-2 eq 2)
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}
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/* Calculate Pressure according to ITU-R P.835-7
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* barometric formula for each atmospheric layer
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*/
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double ItuAtmosphere::calcPresISA(double altitude_m) const {
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// Find which layer the altitude falls into
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size_t layer_idx = ItuAtmosphere::findLayerIndex(altitude_m);
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double dT_dh = ATMOSPHERE_DATA[layer_idx].dT_dh;
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if (layer_idx == 0) {
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// 0 km < altitude < 11 km
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return 1013.25 * pow((288.15 / (288.15 - (dT_dh * altitude_m * 1e-3))), -itu_press_const/dT_dh); // ITU-R P.835-7 eq 3a
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} else if (layer_idx == 1) {
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// 11 km < altitude < 20 km
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return 226.3226 * exp(-0.157688 * (altitude_m * 1e-3 - 11.0)); // ITU-R P.835-7 eq 3b
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} else if (layer_idx == 2) {
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// 20 km < altitude < 32 km
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return 54.7498 * pow((216.65 / (216.65 + (altitude_m * 1e-3 - 20.0))), -itu_press_const); // ITU-R P.835-7 eq 3c
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} else if (layer_idx == 3) {
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// 32 km < altitude < 47 km
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return 8.680422 * pow((228.65 / (228.65 + (dT_dh * (altitude_m * 1e-3 - 32.0)))), -itu_press_const/dT_dh); // ITU-R P.835-7 eq 3d
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} else if (layer_idx == 4) {
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// 47 km < altitude < 51 km
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return 1.109106 * exp(-0.126226 * (altitude_m * 1e-3 - 47.0)); // ITU-R P.835-7 eq 3e
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} else if (layer_idx == 5) {
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// 51 km < altitude < 71 km
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return 0.6694167 * pow((270.65 / (270.65 - (dT_dh * (altitude_m * 1e-3 - 51.0)))), -itu_press_const/dT_dh); // ITU-R P.835-7 eq 3f
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} else if (layer_idx == 6) {
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// 71 km < altitude < 85 km
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return 0.03956649 * pow((214.65 / (214.65 - (dT_dh * (altitude_m * 1e-3 - 71.0)))), -itu_press_const/dT_dh); // ITU-R P.835-7 eq 3g
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} else {
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// altitude >= 85 km
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double Z = ItuAtmosphere::geometricHeight(altitude_m); // [km] Geometric height
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if (Z < 100.0e3) {
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return exp(95.571899 - 4.011801*Z + 6.424731*Z*Z*1e-2 - 4.789660*Z*Z*Z*1e-4 + 1.340543*Z*Z*Z*Z*1e-6); // ITU-R P.835-7 eq 5
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} else {
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return 0.0; // Pressure above 100 km is assumed zero
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}
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}
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}
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/* Calculate Water Vapor Density according to ITU-R P.835-7
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* Uses exponential decay model with different scale heights
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*/
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double ItuAtmosphere::calcWaterVapDensityISA(double altitude_m) const {
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// Calculate geometric height
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double Z = ItuAtmosphere::geometricHeight(altitude_m); // [km] Geometric height
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double rho = rho0 * std::exp(-Z / h0_water); // [g/m3] ITU-R P.835-2 eq 6
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double T_Z = ItuAtmosphere::calcTempISA(altitude_m); // [K]
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double e_z = (rho*T_Z)/(216.7); // [hPa] Partial pressure at height Z
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double p_z = ItuAtmosphere::calcPresISA(altitude_m); // [hPa] Total pressure at height Z
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if (e_z/p_z < 2.0e-6) {
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// Use ITU-R 835-7 eq. 8
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rho = 2.0e-6 * (p_z * 216.7)/(T_Z); // [g/m3]
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}
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return rho;
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}

‎src/architecture/utilities/ItuRefAtmosphere.h‎

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/*
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ISC License
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Copyright (c) 2025, Department of Engineering Cybernetics, NTNU
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Permission to use, copy, modify, and/or distribute this software for any
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purpose with or without fee is hereby granted, provided that the above
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copyright notice and this permission notice appear in all copies.
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THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
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WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
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MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
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ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
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WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
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ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
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OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
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*/
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#ifndef ITU_ATMOSPHERE_H
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#define ITU_ATMOSPHERE_H
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#include <cmath>
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#include <algorithm>
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/*! @brief ITU-R P.835-2 Reference Standard Atmosphere Implementation
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*
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* This class implements the mean annual global reference atmosphere as specified
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* in ITU-R P.835-2 recommendation for calculating gaseous attenuation along Earth-space paths.
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* The class precomputes atmospheric properties at initialization and proviedes lookup values at runtime.
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*/
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class ItuAtmosphere {
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public:
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ItuAtmosphere();
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~ItuAtmosphere();
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/*! @brief Static methods for accessing atmospheric temperature during runtime
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* @param altitude Altitude in [m]
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* @return Temperature in [K]
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*/
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static double getTempISA(double altitude);
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/*! @brief Static methods for accessing atmospheric pressure during runtime
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* @param altitude Altitude in [m]
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* @return Pressure in [hPa]
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*/
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static double getPresISA(double altitude);
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/*! @brief Static methods for accessing atmospheric water vapor density during runtime
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* @param altitude Altitude in [m]
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* @return Water vapor density in [g/m3]
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*/
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static double getWaterVapDensityISA(double altitude);
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private:
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/*! @brief find the layer index for a given altitude
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* @param altitude_m Altitude in [m]
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* @return Layer index
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*/
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size_t findLayerIndex(double altitude_m) const;
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/*! @brief Calculate geometric height from altitude
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* @param altitude_m Altitude in [m]
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* @return Geometric height in [km]
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*/
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double geometricHeight(double altitude_m) const;
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/*! @brief Calculate the ISA temperature
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* @param altitude_m Altitude in [m]
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* @return Temperature in [K]
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*/
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double calcTempISA(double altitude_m) const;
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/*! @brief Calculate the ISA pressure
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* @param altitude_m Altitude in [m]
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* @return Pressure in [hPa]
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*/
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double calcPresISA(double altitude_m) const;
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/*! @brief Calculate the ISA water vapor density
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* @param altitude_m Altitude in [m]
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* @return Water vapor density in [g/m3]
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*/
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double calcWaterVapDensityISA(double altitude_m) const;
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public:
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private:
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/*! @brief Pressure constant for barometric formula [K/km]
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* derived from g * M / R
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* where:
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* R = 'gas constant' -> 8.31446[J/(mol*K)]
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* M = 'molar mass of air' -> 28.9645[g/mol]
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* g = "gravity" -> 9.80665[m/s2]
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* Source: ITU-R P.835-7
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*/
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static constexpr double itu_press_const = 34.1632; // [K/km]
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/*! @brief Atmosphere layer structure for piecewise temperature profile
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* Defines layer boundaries and temperature gradients per source: ITU-R P.835-7
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*/
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struct AtmosphereLayer {
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double h; // Altitude Hi (km)
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double dT_dh; // Temperature gradient Li (K/km)
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};
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/*! @brief Number of atmospheric layers in the reference atmosphere; Source: ITU-R P.835-7, Table 1 */
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static constexpr size_t NUM_LAYERS = 8;
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/*! @brief Mean annual global reference atmosphere layer data
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* Source: ITU-R P.835-7, Table 1
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*/
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static constexpr AtmosphereLayer ATMOSPHERE_DATA[NUM_LAYERS] = {
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{ 0.0e3, -6.5}, // [m, K/km] 0 - 11 km
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{ 11.0e3, 0.0}, // [m, K/km] 11 - 20 km
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{ 20.0e3, 1.0}, // [m, K/km] 20 - 32 km
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{ 32.0e3, 2.8}, // [m, K/km] 32 - 47 km
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{ 47.0e3, 0.0}, // [m, K/km] 47 - 51 km
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{ 51.0e3, -2.8}, // [m, K/km] 51 - 71 km
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{ 71.0e3, -2.0}, // [m, K/km] 71 - 85 km
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{ 84.852e3, 0.0} // [m, K/km] Above 85 km (gradient not used beyond this assume const temp)
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};
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/*! @brief Ground-level standard conditions (ITU-R P.835-7) */
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static constexpr double T0 = 288.15; ///< Standard temperature at sea level [K] (eq. 5)
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static constexpr double P0 = 1013.25; ///< Standard pressure at sea level [hPa] (eq. 5)
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static constexpr double rho0 = 7.5; ///< Standard water vapor density at sea level [g/m³] (eq. 7)
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/*! @brief Scale heights for exponential profiles */
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static constexpr double h0_water = 2.0; ///< [km] Water vapor scale height (ITU-R P.835-7 eq 6)
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// static constexpr double h0_dry = 6.0; ///< [km] Dry atmosphere scale height (ITU-R P.835-7 eq 9)
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static constexpr double R_EARTH_ITU = 6356.766; ///< [km] Earth's radius for ITU atmosphere calculations
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ItuAtmosphere(const ItuAtmosphere&) = delete;
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ItuAtmosphere& operator=(const ItuAtmosphere&) = delete;
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/* Singleton instance */
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static const ItuAtmosphere& instance();
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};
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#endif /* ITU_ATMOSPHERE_H */

‎src/utilities/supportDataTools/dataFetcher.py‎

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LOCAL_GRAV_DATA_BASE_PATH = "LocalGravData/"
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MAGNETIC_FIELD_BASE_PATH = "MagneticField/"
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SKY_BRIGHTNESS_BASE_PATH = "SkyBrightnessData/"
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ITU_ATMOSPHERE_RADIOFREQ_DAMPENING_BASE_PATH = "AtmRadioFreqDampData/"
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@functools.lru_cache(maxsize=32)
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class SkyBrightnessData(Enum):
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skyTemperature408MHz = "haslam408_dsds_Remazeilles2014.fits"
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class AtmRadioFreqDampData(Enum):
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oxygen = "oxygen.json"
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waterVapor = "waterVapor.json"
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CATEGORY_BASE_PATHS = {
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"AlbedoData": ALBEDO_DATA_BASE_PATH,
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"AtmosphereData": ATMOSPHERE_DATA_BASE_PATH,
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"LocalGravData": LOCAL_GRAV_DATA_BASE_PATH,
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"MagneticFieldData": MAGNETIC_FIELD_BASE_PATH,
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"SkyBrightnessData": SKY_BRIGHTNESS_BASE_PATH,
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"AtmRadioFreqDampData": ITU_ATMOSPHERE_RADIOFREQ_DAMPENING_BASE_PATH,
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}
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‎src/utilities/supportDataTools/registrySnippet.py‎

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"supportData/AlbedoData/Earth_ALB_2018_CERES_Clear_10x10.csv": "md5:559c40494e0c2ff21117b0d2b4cb4337",
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"supportData/AlbedoData/Earth_ALB_2018_CERES_Clear_1x1.csv": "md5:aab189dcb8bdf847d20817a1ccf3bbbd",
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"supportData/AlbedoData/Earth_ALB_2018_CERES_Clear_5x5.csv": "md5:a9190d8a2f9650f1e9ec3ba931acd1dd",
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"supportData/AlbedoData/Mars_ALB_TES_10x10.csv": "md5:087522357956a61fc4cb960b7ba9357d",
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"supportData/AlbedoData/Mars_ALB_TES_1x1.csv": "md5:e140359d0211b9a59c9f88e8a1c9827a",
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"supportData/AlbedoData/Mars_ALB_TES_5x5.csv": "md5:614c068da2f194656cc8952fcfd989b3",
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"supportData/AlbedoData/earthReflectivityMean_10x10.dat": "md5:55e4c55eaba239ba1e041a77b266d30a",
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"supportData/AlbedoData/earthReflectivityMean_1p25x1.dat": "md5:af8a8e46b849606707534d9b8906c519",
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"supportData/AlbedoData/earthReflectivityMean_5x5.dat": "md5:327e571b41d1e99198b4cd6d856e8b5a",
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"supportData/AlbedoData/earthReflectivityStd_10x10.dat": "md5:c0e0cfd18597f508c093fda1bb76bbad",
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"supportData/AlbedoData/earthReflectivityStd_1p25x1.dat": "md5:03208907ed87bbc27906f491a79ec8b1",
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"supportData/AlbedoData/earthReflectivityStd_5x5.dat": "md5:b592e99b2edefdb1fa2f9e07ff7007ae",
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"supportData/AlbedoData/Mars_ALB_TES_10x10.csv": "md5:087522357956a61fc4cb960b7ba9357d",
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"supportData/AlbedoData/Mars_ALB_TES_1x1.csv": "md5:e140359d0211b9a59c9f88e8a1c9827a",
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"supportData/AlbedoData/Mars_ALB_TES_5x5.csv": "md5:614c068da2f194656cc8952fcfd989b3",
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"supportData/AlbedoData/marsReflectivityMean_10x10.dat": "md5:b3c9e1e7eec6372430b90708bc10a30c",
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"supportData/AlbedoData/marsReflectivityMean_1p25x1.dat": "md5:ab382ea79e282bf63a2a80763854d093",
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"supportData/AlbedoData/marsReflectivityMean_5x5.dat": "md5:d9b355a9ee2de3ad3f0b3316d742d325",
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"supportData/AtmosphereData/EarthGRAMNominal.txt": "md5:f96ae0632e8253225770e1b927214675",
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"supportData/AtmosphereData/JupiterGRAMNominal.csv": "md5:09e1283af38e292465024306619758eb",
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"supportData/AtmosphereData/MarsGRAMNominal.txt": "md5:2c1e990dde154a5dd73c1a976f2f5b10",
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"supportData/AtmosphereData/NRLMSISE00Nominal.txt": "md5:cf86856b06038a725c41a07175092158",
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"supportData/AtmosphereData/NeptuneGRAMNominal.csv": "md5:5c500071dd9e61e862503ed454f808f0",
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"supportData/AtmosphereData/NRLMSISE00Nominal.txt": "md5:cf86856b06038a725c41a07175092158",
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"supportData/AtmosphereData/TitanGRAMNominal.csv": "md5:0b9570ac5d3d178545deb0fd7311dcfa",
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"supportData/AtmosphereData/USStandardAtmosphere1976.csv": "md5:891d4c45c6116415ca9dd153eac31bba",
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"supportData/AtmosphereData/UranusGRAMNominal.csv": "md5:fb7ce2f93f80fb616318378491d7acba",
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"supportData/AtmosphereData/USStandardAtmosphere1976.csv": "md5:891d4c45c6116415ca9dd153eac31bba",
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"supportData/AtmosphereData/VenusGRAMNominal.csv": "md5:d17ae5d6a30f510dc82554a6002f6dbb",
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"supportData/AtmRadioFreqDampData/oxygen.json": "md5:9da7cbceda2c3884e42359ea791c4713",
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"supportData/AtmRadioFreqDampData/waterVapour.json": "md5:3a2f93a0db881a8d7d2e44300cbc8111",
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"supportData/DentonGEO/model_e_array_all.txt": "md5:dcd84e90630a26affe53c9f96b36e22b",
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"supportData/DentonGEO/model_e_array_high.txt": "md5:93dbe65e6b0c20be7de3c8dbae7a4d79",
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"supportData/DentonGEO/model_e_array_low.txt": "md5:a107047ac9675ac5bef46d792f8db707",
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"supportData/DentonGEO/model_i_array_high.txt": "md5:3695ac88ce113eb89c32e689ab0b7cc8",
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"supportData/DentonGEO/model_i_array_low.txt": "md5:d282c5eb43efa2bdb50fd4e9ca5e4bc8",
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"supportData/DentonGEO/model_i_array_mid.txt": "md5:b89c93a47bdd9f3884795992cc9a6e3c",
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"supportData/EphemerisData/MVN_SCLKSCET.00000.tsc": "md5:8df85d39cff0440cd1a48115566145b4",
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"supportData/EphemerisData/de-403-masses.tpc": "md5:00137bda9537bb47cbd076b6716f4267",
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"supportData/EphemerisData/MVN_SCLKSCET.00000.tsc": "md5:8df85d39cff0440cd1a48115566145b4",
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"supportData/EphemerisData/naif0011.tls": "md5:2a3a51a665e21f2f151527dace5ede74",
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"supportData/EphemerisData/naif0012.tls": "md5:25a2fff30b0dedb4d76c06727b1895b1",
4446
"supportData/EphemerisData/pck00010.tpc": "md5:da153641f7346bd5b6a1226778e0d51b",
47+
"supportData/LocalGravData/eros007790.tab": "md5:5bdf62cee6c7069ea547cca6ed7c724f",
4548
"supportData/LocalGravData/GGM03S-J2-only.txt": "md5:08e8b083c473e8f5261628e1531a38e8",
4649
"supportData/LocalGravData/GGM03S.txt": "md5:295d419493ad83f85c3ab2bcb8c37e7c",
4750
"supportData/LocalGravData/GGM2BData.txt": "md5:79a4c3aa3199a68a136d25b7167a0cc1",
4851
"supportData/LocalGravData/VESTA20H.txt": "md5:f9ec4308ea7049656f64e64d6019d570",
49-
"supportData/LocalGravData/eros007790.tab": "md5:5bdf62cee6c7069ea547cca6ed7c724f",
5052
"supportData/MagneticField/WMM.COF": "md5:8caac788545d3a32d55faba8aa87c93b",
5153
}

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