Source code for sora.prediction.occmap

import os

import astropy.constants as const
import astropy.units as u
import numpy as np
from astropy.coordinates import GCRS, ITRS, SkyOffsetFrame, SkyCoord, EarthLocation, Angle, get_sun
from astropy.time import Time

from sora.config import input_tests

__all__ = ['plot_occ_map']


def xy2latlon(x, y, loncen, latcen, time):
    """Calculates the longitude and latitude given projected positions x and y.

    Parameters
    ----------
    x : `int`, `float`
        Projected position in x, in the GCRS, in meters.

    y : `int`, `float`
        Projected position in y, in the GCRS, in meters.

    loncen : `int`, `float`
        Center longitude of projection, in degrees.

    latcen : `int`, `float`
        Center latitude of projection, in degrees.
    time : `astropy.time.Time`
        Time of referred projection.

    Returns
    -------
    lon, lat : `list`
        Longitude and Latitude whose projection at loncen, lat results
        in x, y. (deg).
    """
    r = const.R_earth.to(u.m).value
    site_cen = EarthLocation(loncen*u.deg, latcen*u.deg)
    itrs_cen = site_cen.get_itrs(obstime=time)
    gcrs_cen = itrs_cen.transform_to(GCRS(obstime=time))

    z = np.array(y, ndmin=1)
    y = np.array(x, ndmin=1)
    x2 = r*r-y*y-z*z

    a = np.where(x2 >= 0.0)
    x = np.sqrt(x2[a])

    y = y[a]
    z = z[a]
    lon = np.repeat(1e+31, len(x2))
    lat = np.repeat(1e+31, len(x2))
    center_frame = SkyOffsetFrame(origin=gcrs_cen)
    if len(x) > 0:
        n = 0
        if not time.isscalar and len(time) == len(x2):
            time = time[a]
        while True:
            n += 1
            new_pos = SkyCoord(x*u.m, y*u.m, z*u.m, representation_type='cartesian', frame=center_frame[a])
            n_coord = new_pos.transform_to(GCRS(obstime=time))
            n_itrs = n_coord.transform_to(ITRS(obstime=time))
            n_site = n_itrs.earth_location
            n_site = EarthLocation(n_site.lon, n_site.lat, 0)
            itrs_site = n_site.get_itrs(obstime=time)
            gcrs_site = itrs_site.transform_to(GCRS(obstime=time))
            target1 = gcrs_site.transform_to(center_frame[a])
            if n == 4:
                lon[a] = n_site.lon.deg
                lat[a] = n_site.lat.deg
                break
            x = target1.cartesian.x.to(u.m).value
    return lon, lat


def latlon2xy(lon, lat, loncen, latcen):
    """Calculates the projection of longitude and latitude in the loncen,
    latcen direction.

    Parameters
    ----------
    lon : `int`, `float`
        Longitude to calculate projection.

    lat : `int`, `float`
        Latitude to calculate projection.

    loncen : `int`, `float`
        Center longitude of projection, in degrees.

    latcen : `int`, `float`
        Center latitude of projection, in degrees.

    Returns
    -------
    x, y : `list`
        Projection of lon, lat at loncen, latcen, in the ITRS (meters).
    """
    site_cen = EarthLocation(loncen*u.deg, latcen*u.deg)
    itrs_cen = site_cen.get_itrs()

    lon = np.array(lon, ndmin=1)
    lat = np.array(lat, ndmin=1)
    site = EarthLocation(lon*u.deg, lat*u.deg, height=0*u.m)
    itrs_site = site.get_itrs()

    target = itrs_site.transform_to(SkyOffsetFrame(origin=itrs_cen))
    y = target.cartesian.y.to(u.m).value
    z = target.cartesian.z.to(u.m).value
    k = np.where(target.cartesian.x.to(u.m).value < 0.0)
    y[k] = 1e+31
    z[k] = 1e+31
    return y, z


[docs]def plot_occ_map(name, radius, coord, time, ca, pa, vel, dist, mag=0, longi=0, **kwargs): """Plots the map of the occultation. Parameters ---------- name : `str` Name of the object. radius : `int`, `float` Radius of the object, in km. coord : `str`, `astropy.coordinates.SkyCoord` Coordinates of the star (``"hh mm ss.sss dd mm ss.sss"`` or ``"hh.hhhhhhhh dd.dddddddd"``). time : `str`, `astropy.time.Time` Instant of Closest Approach (iso or isot format). ca : `int`, `float` Closest Approach Distance, in arcsec. pa : `int`, `float` Position Angle at C/A, in degrees. vel : `int`, `float` Velocity of the event, in km/s. dist : `int`, `float` Object distance at C/A, in AU. mag : `int`, `float`, default=0 Mag* = Normalized magnitude to vel=20km/s. longi : `int`, `float`, default=0 East longitude of sub-planet point, deg, positive towards East. nameimg : `str` Change the name of the imaged saved. path : `str` Path to a directory where to save map. resolution : `int`, default=2 Cartopy feature resolution.\n - ``1`` means a resolution of "10m";\n - ``2`` a resolution of "50m";\n - ``3`` a resolution of "100m". states : `bool` If True, plots the states borders of the countries. The states of some countries will only be shown depending on the resolution. zoom : `int`, `float` Zooms in or out of the map. centermap_geo : `list`, default=None Center the map given coordinates in longitude and latitude. It must be a list with two numbers. centermap_delta : `list`, default=None Displace the center of the map given displacement in X and Y, in km. It must be a list with two numbers. centerproj : `list` Rotates the Earth to show occultation with the center projected at a given longitude and latitude. It must be a list with two numbers. labels : `bool`, default=True Plots text above and below the map with the occultation parameters. meridians : `int`, default=30 Plots lines representing the meridians for given interval, in degrees. parallels : `int`, default=30 Plots lines representing the parallels for given interval, in degrees. sites : `dict` Plots site positions in map. It must be a python dictionary where the key is the `name` of the site, and the value is a list with `longitude`, `latitude`, `delta_x`, `delta_y` and `color`. `delta_x` and `delta_y` are displacement, in km, from the point position of the site in the map and the `name`. `color` is the color of the point. site_name : `bool` If True, it prints the name of the sites given, else it plots only the points. countries : `dict` Plots the names of countries. It must be a python dictionary where the key is the name of the country and the value is a list with longitude and latitude of the lower left part of the text. offset : `list` Applies an offset to the ephemeris, calculating new CA and instant of CA. It is a pair of `delta_RA*cosDEC` and `delta_DEC`. mapstyle : `int`, default=1 Define the color style of the map. ``'1'`` is the default black and white scale. ``'2'`` is a colored map. error : `int`, `float` Ephemeris error in mas. It plots a dashed line representing radius + error. ercolor : `str` Changes the color of the lines of the error bar. ring : `int`, `float` Plots a dashed line representing the location of a ring. It is given in km, from the center. rncolor : `str` Changes the color of ring lines. atm : `int`, `float` Plots a dashed line representing the location of an atmosphere. It is given in km, from the center. atcolor : `str` Changes the color of atm lines. chord_delta : `list` List with distances from center to plot chords. chord_geo : `2d-list` List with pairs of coordinates to plot chords. chcolor : `str`, default='grey' Color of the line of the chords. heights : `list` It plots a circular dashed line showing the locations where the observer would observe the occultation at a given height above the horizons. This must be a list. hcolor : `str` Changes the color of the height lines. mapsize : `list`, default= [46.0, 38.0] The size of figure, in cm. It must be a list with two values. cpoints : `int`, `float`, default=60 Interval for the small points marking the center of shadow, in seconds. ptcolor : `str` Change the color of the center points. alpha : `float`, default=0.2 The transparency of the night shade, where 0.0 is full transparency and 1.0 is full black. fmt : `str`, default:'png' The format to save the image. It is parsed directly by `matplotlib.pyplot`. dpi : `int`, default=100 Resolution in "dots per inch". It defines the quality of the image. lncolor : `str` Changes the color of the line that represents the limits of the shadow over Earth. outcolor :`str` Changes the color of the lines that represents the limits of the shadow outside Earth. scale : `int`, `float` Arbitrary scale for the size of the name of the site. cscale : `int`, `float` Arbitrary scale for the name of the country. sscale : `int`, `float` Arbitrary scale for the size of point of the site. pscale : `int`, `float` Arbitrary scale for the size of the points that represent the center of the shadow. arrow : `bool` If True, it plots the arrow with the occultation direction. Important --------- Required parameters to plot an occultation map: 'name', 'radius', 'coord', 'time', 'ca', 'pa', 'vel', and 'dist'. Note ---- The parameters 'mag' and 'longi' are optional and only printed in label. All other remaining parameters can be used to further customize the Map configuration. When producing the map, only one of 'centermap_geo' or 'centermap_delta' options can be used at a time. """ import matplotlib.pyplot as plt import cartopy.crs as ccrs import cartopy.feature as cfeature allowed_kwargs = ['alpha', 'arrow', 'atcolor', 'atm', 'centermap_delta', 'centermap_geo', 'centerproj', 'chcolor', 'chord_delta', 'chord_geo', 'countries', 'cpoints', 'cscale', 'dpi', 'ercolor', 'error', 'fmt', 'hcolor', 'heights', 'labels', 'lncolor', 'mapsize', 'mapstyle', 'meridians', 'nameimg', 'nscale', 'offset', 'outcolor', 'parallels', 'path', 'pscale', 'ptcolor', 'resolution', 'ring', 'rncolor', 'site_name', 'sites', 'sscale', 'states', 'zoom'] input_tests.check_kwargs(kwargs, allowed_kwargs=allowed_kwargs) if not type(name) == str: raise TypeError('name keyword must be a string') radius = radius*u.km occs = {} try: occs['stars'] = SkyCoord(coord, frame='icrs', unit=(u.hourangle, u.degree)) except: raise KeyError('"star" keyword is not in the format: "hh mm ss.sss dd mm ss.sss" or "hh.hhhhhhhh dd.dddddddd"') try: occs['datas'] = Time(time) except: raise KeyError('"time" keyword is not a iso or isot time format') occs['ca'] = ca*u.arcsec occs['posa'] = pa*u.deg occs['vel'] = vel*(u.km/u.s) occs['dist'] = dist*u.AU occs['magG'] = mag occs['longi'] = longi mapstyle = kwargs.get('mapstyle', 1) if mapstyle not in [1, 2]: raise ValueError('mapstyle must be 1 or 2]') resolution = kwargs.get('resolution', 2) if resolution not in [1, 2, 3]: raise TypeError('resolution keyword must be one of these: [1, 2, 3] where 1=10m, 2=50m and 3=100m') res = ['10m', '50m', '110m'] resolution = res[resolution-1] nameimg = kwargs.get('nameimg', '{}_{}'.format(name, occs['datas'].isot)) fmt = kwargs.get('fmt', 'png') dpi = kwargs.get('dpi', 100) step = kwargs.get('step', 1) mapsize = kwargs.get('mapsize', [46.0, 38.0])*u.cm erro = kwargs.get('error', None) ring = kwargs.get('ring', None) atm = kwargs.get('atm', None) cpoints = kwargs.get('cpoints', 60) states = kwargs.get('states', True) labels = kwargs.get('labels', True) meridians = kwargs.get('meridians', 30) parallels = kwargs.get('parallels', 30) nscale = kwargs.get('nscale', 1) cscale = kwargs.get('cscale', 1) sscale = kwargs.get('sscale', 1) pscale = kwargs.get('pscale', 1) heights = np.array(kwargs.get('heights'), None) alpha = kwargs.get('alpha', 0.2) centermap_geo = kwargs.get('centermap_geo', None) centermap_delta = kwargs.get('centermap_delta', None) if 'centermap_geo' in kwargs and 'centermap_delta' in kwargs: raise ValueError('User must give "centermap_geo" OR "centermap_delta"') zoom = kwargs.get('zoom', 1) if zoom <= 0: raise ValueError('zoom can not be equal or smaller than 0.') off_ra, off_de = kwargs.get('offset', [0.0, 0.0])*u.mas arrow = kwargs.get('arrow', True) site_name = kwargs.get('site_name', True) path = kwargs.get('path', '.') if not os.path.exists(path): raise IOError('Path does not exists') chord_delta = np.array(kwargs.get('chord_delta', []), ndmin=1)*u.km chord_geo = kwargs.get('chord_geo', []) if len(chord_geo) > 0: try: b = np.array(chord_geo, ndmin=2) chord_geo = b.reshape(len(b), 2) except: raise ValueError('chord_geo must a set of pairs with longitude and latitude') chord_geo = EarthLocation(*chord_geo.T) sites = {} if 'sites' in kwargs.keys(): if type(kwargs['sites']) == str and os.path.isfile(kwargs['sites']): data = np.loadtxt(kwargs['sites'], dtype={'names': ('name', 'lon', 'lat', 'offx', 'offy', 'color'), 'formats': ('S30', 'f8', 'f8', 'f8', 'f8', 'S30')}, delimiter=',', ndmin=1) for i, s in enumerate(data): sites[s['name'].strip().decode()] = [s['lon'], s['lat'], s['offx'], s['offy'], s['color'].strip().decode()] elif type(kwargs['sites']) == dict: sites = kwargs['sites'] else: raise TypeError('sites keyword must be a file or a dictionary') countries = {} if 'countries' in kwargs.keys(): if type(kwargs['countries']) == str and os.path.isfile(kwargs['countries']): data = np.loadtxt(kwargs['countries'], dtype={'names': ('name', 'lon', 'lat'), 'formats': ('S30', 'f8', 'f8')}, delimiter=',', ndmin=1) for i, c in enumerate(data): countries[c['name'].strip().decode()] = [c['lon'], c['lat']] elif type(kwargs['countries']) == dict: countries = kwargs['countries'] else: raise TypeError('country keyword must be a file or a dictionary') # calculates offsets dca = off_ra*np.sin(occs['posa']) + off_de*np.cos(occs['posa']) dt = (-(off_ra * np.cos(occs['posa']) - off_de * np.sin(occs['posa'])).to(u.rad) * occs['dist'].to(u.km) / np.absolute( occs['vel'])).value * u.s ca1 = occs['ca'] + dca data = occs['datas'] + dt # define map parameters center_gcrs = GCRS(occs['stars'].ra, occs['stars'].dec, 1*u.R_earth, obstime=data) center_itrs = center_gcrs.transform_to(ITRS(obstime=data)) center_map = center_itrs.earth_location centert = True if 'centerproj' in kwargs.keys(): if type(kwargs['centerproj']) == EarthLocation: center_map = kwargs['centerproj'] elif np.array(kwargs['centerproj']).shape == (2,): center_map = EarthLocation.from_geodetic(*kwargs['centerproj'], 0.0) else: raise TypeError('centerproj must be an Astropy EarthLocation Object or an array with Longitude and Latitude only') centert = False fig = plt.figure(figsize=(mapsize.to(u.imperial.inch).value)) projection = ccrs.Orthographic(central_longitude=center_map.lon.value, central_latitude=center_map.lat.value) if labels: axf = plt.axes(projection=projection) else: axf = plt.axes([-0.001, -0.001, 1.002, 1.002], projection=projection) axf.set_global() # calculates regions for zoom limits = None r = const.R_earth.to(u.m).value if centermap_geo is not None: cx, cy = latlon2xy(centermap_geo[0], centermap_geo[1], center_map.lon.value, center_map.lat.value) limits = [cx/1000.0, cy/1000.0] if np.any(np.absolute(limits) > r): raise ValueError('Coordinates for centermap_geo are outside the visible range.') elif centermap_delta is not None: limits = centermap_delta elif zoom != 1: limits = [0, 0] if limits is not None: dr = r/zoom l0 = (limits[0]*u.km).to(u.m).value l1 = (limits[1]*u.km).to(u.m).value dmsize = mapsize[0]/mapsize[1] if mapsize[1] < mapsize[0]: lx = l0 - dr*dmsize ux = l0 + dr*dmsize ly = l1 - dr uy = l1 + dr else: lx = l0 - dr ux = l0 + dr ly = l1 - dr/dmsize uy = l1 + dr/dmsize axf.set_xlim(lx, ux) axf.set_ylim(ly, uy) if labels and zoom > 1: centert = False # plots features axf.coastlines(resolution=resolution, color='0.3') ocean = cfeature.NaturalEarthFeature('physical', 'ocean', resolution) land = cfeature.NaturalEarthFeature('physical', 'land', resolution) border = cfeature.NaturalEarthFeature('cultural', 'admin_0_countries', resolution) if mapstyle == 1: axf.add_feature(ocean, zorder=0, color='0.9') axf.add_feature(land, zorder=0, edgecolor='None', color='1.0') axf.add_feature(border, zorder=0.1, edgecolor='0.4', facecolor='None') axf.add_feature(cfeature.RIVERS, zorder=0, edgecolor='0.7') axf.add_feature(cfeature.LAKES, zorder=0, color='0.7') ptcolor = 'black' lncolor = 'blue' ercolor = 'blue' rncolor = 'blue' atcolor = 'blue' outcolor = 'red' hcolor = 'black' chcolor = 'gray' elif mapstyle == 2: axf.add_feature(ocean, zorder=0, facecolor=cfeature.COLORS['water']) axf.add_feature(land, zorder=0, edgecolor='None', facecolor=cfeature.COLORS['land']) axf.add_feature(border, zorder=0, edgecolor='0.5', facecolor=cfeature.COLORS['land']) axf.add_feature(border, zorder=0.1, edgecolor='0.5', facecolor='None') axf.add_feature(cfeature.RIVERS, zorder=0) axf.add_feature(cfeature.LAKES, zorder=0) ptcolor = 'red' lncolor = 'blue' ercolor = 'red' rncolor = 'black' atcolor = 'black' outcolor = 'red' hcolor = 'black' chcolor = 'gray' if states: states_r = cfeature.NaturalEarthFeature('cultural', 'admin_1_states_provinces', resolution) axf.add_feature(states_r, zorder=0, edgecolor='0.6', facecolor='None') gl = axf.gridlines(xlocs=np.arange(-180, 180.001, meridians), ylocs=np.arange(-90, 90.001, parallels)) gl.n_steps = 180 sun = get_sun(data) sun_lat = sun.dec sun_lon = sun.ra - data.sidereal_time('mean', 'greenwich') pole_lon = sun_lon.deg pole_lat = sun_lat.deg proj_sun = ccrs.Orthographic(central_longitude=pole_lon+180, central_latitude=-pole_lat) bordx = r*np.cos(np.arange(0, 361, 0.5)*u.deg) bordy = r*np.sin(np.arange(0, 361, 0.5)*u.deg) axf.fill(bordx, bordy, transform=proj_sun, linewidth=0, color='black', alpha=alpha) axf.fill(bordx*np.cos(18*u.deg), bordy*np.cos(18*u.deg), transform=proj_sun, linewidth=0, color='black', alpha=alpha) ptcolor = kwargs.get('ptcolor', ptcolor) lncolor = kwargs.get('lncolor', lncolor) ercolor = kwargs.get('ercolor', ercolor) rncolor = kwargs.get('rncolor', rncolor) atcolor = kwargs.get('atcolor', atcolor) outcolor = kwargs.get('outcolor', outcolor) hcolor = kwargs.get('hcolor', hcolor) chcolor = kwargs.get('chcolor', chcolor) # calculates path vec = np.arange(0, int(8000/(np.absolute(occs['vel'].value))), step) vec = np.sort(np.concatenate((vec, -vec[1:]), axis=0)) pa = Angle(occs['posa']) pa.wrap_at('180d', inplace=True) if pa > 90*u.deg: paplus = pa - 180*u.deg elif pa < -90*u.deg: paplus = pa + 180*u.deg else: paplus = pa deltatime = vec*u.s datas1 = data + deltatime centers_gcrs = GCRS(np.repeat(occs['stars'].ra, len(datas1)), np.repeat(occs['stars'].dec, len(datas1)), 1*u.R_earth, obstime=datas1) centers_itrs = centers_gcrs.transform_to(ITRS(obstime=datas1)) centers = centers_itrs.earth_location dista = (occs['dist'].to(u.km)*ca1.to(u.rad)).value*u.km ax = dista*np.sin(pa) + (deltatime*occs['vel'])*np.cos(paplus) by = dista*np.cos(pa) - (deltatime*occs['vel'])*np.sin(paplus) ax2 = ax - radius * np.sin(paplus) by2 = by - radius * np.cos(paplus) lon1, lat1 = xy2latlon(ax2.to(u.m).value, by2.to(u.m).value, centers.lon.value, centers.lat.value, datas1) j = np.where(lon1 < 1e+30) axf.plot(lon1[j], lat1[j], transform=ccrs.Geodetic(), color=lncolor) j = np.where(lon1 > 1e+30) if 'centerproj' not in kwargs: plt.plot(ax2[j].to(u.m).value, by2[j].to(u.m).value, color=outcolor, clip_on=(not centert), zorder=-0.2) ax3 = ax + radius * np.sin(paplus) by3 = by + radius * np.cos(paplus) lon2, lat2 = xy2latlon(ax3.to(u.m).value, by3.to(u.m).value, centers.lon.value, centers.lat.value, datas1) j = np.where(lon2 < 1e+30) axf.plot(lon2[j], lat2[j], transform=ccrs.Geodetic(), color=lncolor) j = np.where(lon2 > 1e+30) if 'centerproj' not in kwargs: plt.plot(ax3[j].to(u.m).value, by3[j].to(u.m).value, color=outcolor, clip_on=(not centert), zorder=-0.2) # plots chords_delta for val in chord_delta: ax2 = ax + val*np.sin(paplus) by2 = by + val*np.cos(paplus) lon1, lat1 = xy2latlon(ax2.to(u.m).value, by2.to(u.m).value, centers.lon.value, centers.lat.value, datas1) j = np.where(lon1 < 1e+30) axf.plot(lon1[j], lat1[j], transform=ccrs.Geodetic(), color=chcolor) # plots chords_geo for coord_geo in chord_geo: xt, yt = latlon2xy(coord_geo.lon.deg, coord_geo.lat.deg, centers.lon.value, centers.lat.value)*u.m val = np.sqrt((xt-ax)**2 + (yt-by)**2) k = val.argmin() ang = np.arctan2((yt-by)[k], (xt-ax)[k]) val = np.sign(np.sin(ang))*val[k] ax2 = ax + val*np.sin(paplus) by2 = by + val*np.cos(paplus) lon1, lat1 = xy2latlon(ax2.to(u.m).value, by2.to(u.m).value, centers.lon.value, centers.lat.value, datas1) j = np.where(lon1 < 1e+30) axf.plot(lon1[j], lat1[j], transform=ccrs.Geodetic(), color=chcolor) # plots error if erro is not None: err = erro*u.mas errd = (occs['dist'].to(u.km)*err.to(u.rad)).value*u.km ax2 = ax - errd*np.sin(paplus) - radius*np.sin(paplus) by2 = by - errd*np.cos(paplus) - radius*np.cos(paplus) lon1, lat1 = xy2latlon(ax2.to(u.m).value, by2.to(u.m).value, centers.lon.value, centers.lat.value, datas1) j = np.where(lon1 < 1e+30) axf.plot(lon1[j], lat1[j], '--', transform=ccrs.Geodetic(), color=ercolor) ax3 = ax + errd*np.sin(paplus) + radius*np.sin(paplus) by3 = by + errd*np.cos(paplus) + radius*np.cos(paplus) lon2, lat2 = xy2latlon(ax3.to(u.m).value, by3.to(u.m).value, centers.lon.value, centers.lat.value, datas1) j = np.where(lon2 < 1e+30) axf.plot(lon2[j], lat2[j], '--', transform=ccrs.Geodetic(), color=ercolor) # plots ring if ring is not None: rng = ring*u.km ax2 = ax - rng*np.sin(paplus) by2 = by - rng*np.cos(paplus) lon1, lat1 = xy2latlon(ax2.to(u.m).value, by2.to(u.m).value, centers.lon.value, centers.lat.value, datas1) j = np.where(lon1 < 1e+30) axf.plot(lon1[j], lat1[j], '--', transform=ccrs.Geodetic(), color=rncolor) ax3 = ax + rng*np.sin(paplus) by3 = by + rng*np.cos(paplus) lon2, lat2 = xy2latlon(ax3.to(u.m).value, by3.to(u.m).value, centers.lon.value, centers.lat.value, datas1) j = np.where(lon2 < 1e+30) axf.plot(lon2[j], lat2[j], '--', transform=ccrs.Geodetic(), color=rncolor) # plots atm if atm is not None: atmo = atm*u.km ax2 = ax - atmo*np.sin(paplus) by2 = by - atmo*np.cos(paplus) lon1, lat1 = xy2latlon(ax2.to(u.m).value, by2.to(u.m).value, centers.lon.value, centers.lat.value, datas1) j = np.where(lon1 < 1e+30) axf.plot(lon1[j], lat1[j], '--', transform=ccrs.Geodetic(), color=atcolor) ax3 = ax + atmo*np.sin(paplus) by3 = by + atmo*np.cos(paplus) lon2, lat2 = xy2latlon(ax3.to(u.m).value, by3.to(u.m).value, centers.lon.value, centers.lat.value, datas1) j = np.where(lon2 < 1e+30) axf.plot(lon2[j], lat2[j], '--', transform=ccrs.Geodetic(), color=atcolor) # plots center points vec = np.arange(0, int(8000/(np.absolute(occs['vel'].value))), cpoints) deltatime = np.sort(np.concatenate((vec, -vec[1:]), axis=0))*u.s axc = dista*np.sin(pa) + (deltatime*occs['vel'])*np.cos(paplus) byc = dista*np.cos(pa) - (deltatime*occs['vel'])*np.sin(paplus) plt.plot(axc.to(u.m).value, byc.to(u.m).value, 'o', color=ptcolor, clip_on=(not centert), markersize=mapsize[0].value*pscale*8.0/46.0, zorder=-0.2) datas2 = data + deltatime centers_p_gcrs = GCRS(np.repeat(occs['stars'].ra, len(datas2)), np.repeat(occs['stars'].dec, len(datas2)), 1*u.R_earth, obstime=datas2) centers_p_itrs = centers_p_gcrs.transform_to(ITRS(obstime=datas2)) centers_p = centers_p_itrs.earth_location clon1, clat1 = xy2latlon(axc.to(u.m).value, byc.to(u.m).value, centers_p.lon.value, centers_p.lat.value, datas2) j = np.where(clon1 < 1e+30) axf.plot(clon1[j], clat1[j], 'o', transform=ccrs.Geodetic(), color=ptcolor, clip_on=True, markersize=mapsize[0].value*pscale*8.0/46.0) datas1 = data + deltatime center_gcrs = GCRS(np.repeat(occs['stars'].ra, 1), np.repeat(occs['stars'].dec, 1), 1*u.R_earth, obstime=data) center_itrs = center_gcrs.transform_to(ITRS(obstime=data)) center = center_itrs.earth_location xp = [(dista.to(u.m)*np.sin(pa)).value] yp = [(dista.to(u.m)*np.cos(pa)).value] loncen, latcen = xy2latlon(xp, yp, center.lon.value, center.lat.value, data) j = np.where(loncen < 1e+30) if len(j) > 0: axf.plot(loncen[j], latcen[j], 'o', transform=ccrs.Geodetic(), color=ptcolor, clip_on=True, markersize=mapsize[0].value*pscale*24.0/46.0) elif not centert: plt.plot(xp, yp, 'o', color=ptcolor, clip_on=False, markersize=mapsize[0].value*pscale*24.0/46.0) # plots the heights if 'heights' in kwargs.keys(): for h in heights: lonb, latb = xy2latlon(bordx * np.cos(h * u.deg), bordy * np.cos(h * u.deg), center.lon.value, center.lat.value, data) axf.plot(lonb, latb, transform=ccrs.Geodetic(), linestyle='dotted', color=hcolor) # plots the the direction arrow if arrow: if limits is None: plt.quiver(5500000, -5500000, (np.sin(paplus+90*u.deg)*np.sign(occs['vel'])).value, (np.cos(paplus+90*u.deg)*np.sign(occs['vel'])).value, width=0.005) else: plt.quiver(lx + (ux-lx)*0.9, ly + (uy-ly)*0.1, (np.sin(paplus+90*u.deg)*np.sign(occs['vel'])).value, (np.cos(paplus+90*u.deg)*np.sign(occs['vel'])).value, width=0.005, zorder=1.3) # plots the countries names for country in countries.keys(): plt.text(countries[country][0], countries[country][1], country, transform=ccrs.Geodetic(), weight='bold', color='grey', fontsize=30*cscale, family='monospace') # plots the sites for site in sites.keys(): s = EarthLocation.from_geodetic(sites[site][0], sites[site][1], 0.0*u.km) axf.plot(s.lon.deg, s.lat.deg, 'o', transform=ccrs.Geodetic(), markersize=mapsize[0].value*sscale*10.0/46.0, color=sites[site][4]) if site_name: xt, yt = latlon2xy(s.lon.deg, s.lat.deg, center_map.lon.value, center_map.lat.value) axf.text(xt + sites[site][2]*1000, yt+sites[site][3]*1000, site, weight='bold', fontsize=25*nscale, family='monospace') # Define the title and label of the output title = ('Object Diam Tmax dots <> ra_offset_dec\n' '{:10s} {:4.0f} km {:5.1f}s {:02d} s <>{:+6.1f} {:+6.1f} \n'. format(name, 2*radius.value, (2*radius/np.absolute(occs['vel'])).value, cpoints, off_ra.value, off_de.value)) labelx = ("\n year-m-d h:m:s UT ra__dec__J2000__candidate C/A P/A vel Delta G* long\n" "{} {:02d} {:02d} {:07.4f} {:+03d} {:02d} {:06.3f} {:6.3f} {:6.2f} {:6.2f} {:5.2f} {:5.1f} {:3.0f}". format(data.iso, int(occs['stars'].ra.hms.h), int(occs['stars'].ra.hms.m), occs['stars'].ra.hms.s, int(occs['stars'].dec.dms.d), np.absolute(int(occs['stars'].dec.dms.m)), np.absolute(occs['stars'].dec.dms.s), ca1.value, occs['posa'].value, occs['vel'].value, occs['dist'].value, occs['magG'], occs['longi'])) # plots the map if labels: axf.set_title(title, family='monospace', weight='bold', fontsize=22) axf.text(0.5, -0.1, labelx, va='bottom', ha='center', rotation='horizontal', rotation_mode='anchor', transform=axf.transAxes, family='monospace', weight='bold', fontsize=22) filepath = os.path.join(path, '{}.{}'.format(nameimg, fmt)) plt.savefig(filepath, format=fmt, dpi=dpi) print('{}.{} generated'.format(nameimg, fmt)) plt.clf() plt.close()