radiosonde_auto_rx/auto_rx/autorx/geometry.py

292 wiersze
10 KiB
Python

#!/usr/bin/env python
#
# Project Horus - Flight Data to Geometry
#
# Copyright (C) 2018 Mark Jessop <vk5qi@rfhead.net>
# Released under GNU GPL v3 or later
#
import math
import traceback
import logging
import numpy as np
from .utils import position_info
def getDensity(altitude, get_pressure=False):
"""
Calculate the atmospheric density for a given altitude in metres.
This is a direct port of the oziplotter Atmosphere class
"""
# Constants
airMolWeight = 28.9644 # Molecular weight of air
densitySL = 1.225 # Density at sea level [kg/m3]
pressureSL = 101325 # Pressure at sea level [Pa]
temperatureSL = 288.15 # Temperature at sea level [deg K]
gamma = 1.4
gravity = 9.80665 # Acceleration of gravity [m/s2]
tempGrad = -0.0065 # Temperature gradient [deg K/m]
RGas = 8.31432 # Gas constant [kg/Mol/K]
R = 287.053
deltaTemperature = 0.0
# Lookup Tables
altitudes = [0, 11000, 20000, 32000, 47000, 51000, 71000, 84852]
pressureRels = [
1,
2.23361105092158e-1,
5.403295010784876e-2,
8.566678359291667e-3,
1.0945601337771144e-3,
6.606353132858367e-4,
3.904683373343926e-5,
3.6850095235747942e-6,
]
temperatures = [288.15, 216.65, 216.65, 228.65, 270.65, 270.65, 214.65, 186.946]
tempGrads = [-6.5, 0, 1, 2.8, 0, -2.8, -2, 0]
gMR = gravity * airMolWeight / RGas
# Pick a region to work in
i = 0
if altitude > 0:
while altitude > altitudes[i + 1]:
i = i + 1
# Lookup based on region
baseTemp = temperatures[i]
tempGrad = tempGrads[i] / 1000.0
pressureRelBase = pressureRels[i]
deltaAltitude = altitude - altitudes[i]
temperature = baseTemp + tempGrad * deltaAltitude
# Calculate relative pressure
if math.fabs(tempGrad) < 1e-10:
pressureRel = pressureRelBase * math.exp(
-1 * gMR * deltaAltitude / 1000.0 / baseTemp
)
else:
pressureRel = pressureRelBase * math.pow(
baseTemp / temperature, gMR / tempGrad / 1000.0
)
# Add temperature offset
temperature = temperature + deltaTemperature
# Finally, work out the density...
speedOfSound = math.sqrt(gamma * R * temperature)
pressure = pressureRel * pressureSL
if get_pressure:
return pressure
density = densitySL * pressureRel * temperatureSL / temperature
return density
def seaLevelDescentRate(descent_rate, altitude):
""" Calculate the descent rate at sea level, for a given descent rate at altitude """
rho = getDensity(altitude)
return math.sqrt((rho / 1.22) * math.pow(descent_rate, 2))
def time_to_landing(
current_altitude, current_descent_rate=-5.0, ground_asl=0.0, step_size=1
):
""" Calculate an estimated time to landing (in seconds) of a payload, based on its current altitude and descent rate """
# A few checks on the input data.
if current_descent_rate > 0.0:
# If we are still ascending, return none.
return None
if current_altitude <= ground_asl:
# If the current altitude is *below* ground level, we have landed.
return 0
# Calculate the sea level descent rate.
_desc_rate = math.fabs(seaLevelDescentRate(current_descent_rate, current_altitude))
_drag_coeff = _desc_rate * 1.1045 # Magic multiplier from predict.php
_alt = current_altitude
_start_time = 0
# Now step through the flight in <step_size> second steps.
# Once the altitude is below our ground level, stop, and return the elapsed time.
while _alt >= ground_asl:
_alt += step_size * -1 * (_drag_coeff / math.sqrt(getDensity(_alt)))
_start_time += step_size
return _start_time
class GenericTrack(object):
"""
A Generic 'track' object, which stores track positions for a payload or chase car.
Telemetry is added using the add_telemetry method, which takes a dictionary with time/lat/lon/alt keys (at minimum).
This object performs a running average of the ascent/descent rate, and calculates the predicted landing rate if the payload
is in descent.
The track history can be exported to a LineString using the to_line_string method.
"""
def __init__(self, ascent_averaging=6, landing_rate=5.0, max_elements=None):
""" Create a GenericTrack Object. """
# Averaging rate.
self.ASCENT_AVERAGING = ascent_averaging
# Payload state.
self.landing_rate = landing_rate
self.max_elements = max_elements
self.ascent_rate = 0.0
self.heading = 0.0
self.speed = 0.0
self.is_descending = False
# Internal store of track history data.
# Data is stored as a list-of-lists, with elements of [datetime, lat, lon, alt, comment]
self.track_history = []
def add_telemetry(self, data_dict):
"""
Accept telemetry data as a dictionary with fields
datetime, lat, lon, alt, comment
"""
try:
_datetime = data_dict["time"]
_lat = data_dict["lat"]
_lon = data_dict["lon"]
_alt = data_dict["alt"]
if "comment" in data_dict.keys():
_comment = data_dict["comment"]
else:
_comment = ""
self.track_history.append([_datetime, _lat, _lon, _alt, _comment])
# Clip size of track history if a maximum number of elements is set.
if self.max_elements:
if len(self.track_history) > self.max_elements:
self.track_history = self.track_history[1:]
self.update_states()
return self.get_latest_state()
except ValueError:
# ValueErrors show up when the positions used are too close together, or when
# altitudes are the same between positions (divide-by-zero error)
# We can safely skip over these.
pass
except Exception as e:
logging.debug(
"Track - Error adding new telemetry to GenericTrack %s" % str(e)
)
def get_latest_state(self):
""" Get the latest position of the payload """
if len(self.track_history) == 0:
return None
else:
_latest_position = self.track_history[-1]
_state = {
"time": _latest_position[0],
"lat": _latest_position[1],
"lon": _latest_position[2],
"alt": _latest_position[3],
"ascent_rate": self.ascent_rate,
"is_descending": self.is_descending,
"landing_rate": self.landing_rate,
"heading": self.heading,
"speed": self.speed,
}
return _state
def calculate_ascent_rate(self):
""" Calculate the ascent/descent rate of the payload based on the available data """
if len(self.track_history) <= 1:
return 0.0
elif len(self.track_history) == 2:
# Basic ascent rate case - only 2 samples.
_time_delta = (
self.track_history[-1][0] - self.track_history[-2][0]
).total_seconds()
_altitude_delta = self.track_history[-1][3] - self.track_history[-2][3]
return _altitude_delta / _time_delta
else:
_num_samples = min(len(self.track_history), self.ASCENT_AVERAGING)
_asc_rates = []
for _i in range(-1 * (_num_samples - 1), 0):
_time_delta = (
self.track_history[_i][0] - self.track_history[_i - 1][0]
).total_seconds()
_altitude_delta = (
self.track_history[_i][3] - self.track_history[_i - 1][3]
)
_asc_rates.append(_altitude_delta / _time_delta)
return np.mean(_asc_rates)
def calculate_heading(self):
""" Calculate the heading of the payload """
if len(self.track_history) <= 1:
return 0.0
else:
_pos_1 = self.track_history[-2]
_pos_2 = self.track_history[-1]
_pos_info = position_info(
(_pos_1[1], _pos_1[2], _pos_1[3]), (_pos_2[1], _pos_2[2], _pos_2[3])
)
return _pos_info["bearing"]
def calculate_speed(self):
""" Calculate Payload Speed in metres per second """
if len(self.track_history) <= 1:
return 0.0
else:
_time_delta = (
self.track_history[-1][0] - self.track_history[-2][0]
).total_seconds()
_pos_1 = self.track_history[-2]
_pos_2 = self.track_history[-1]
_pos_info = position_info(
(_pos_1[1], _pos_1[2], _pos_1[3]), (_pos_2[1], _pos_2[2], _pos_2[3])
)
_speed = _pos_info["great_circle_distance"] / _time_delta
return _speed
def update_states(self):
""" Update internal states based on the current data """
self.ascent_rate = self.calculate_ascent_rate()
self.heading = self.calculate_heading()
self.speed = self.calculate_speed()
self.is_descending = self.ascent_rate < 0.0
if self.is_descending:
_current_alt = self.track_history[-1][3]
self.landing_rate = seaLevelDescentRate(self.ascent_rate, _current_alt)
def to_polyline(self):
""" Generate and return a Leaflet PolyLine compatible array """
# Copy array into a numpy representation for easier slicing.
if len(self.track_history) == 0:
return []
elif len(self.track_history) == 1:
# LineStrings need at least 2 points. If we only have a single point,
# fudge it by duplicating the single point.
_track_data_np = np.array([self.track_history[0], self.track_history[0]])
else:
_track_data_np = np.array(self.track_history)
# Produce new array
_track_points = np.column_stack(
(_track_data_np[:, 1], _track_data_np[:, 2], _track_data_np[:, 3])
)
return _track_points.tolist()