Comparing in-situ data to model output

In this example, we’ll see how to compare in-situ data taken by a spacecraft to equivalent observables in the model along the 1D spacecraft trajectory.

This consists of three steps: 1. Load the spacecraft data 2. Generate the spacecraft trajectory at the in-situ data timestamps 3. Use this trajectory to take samples in the 3D model output

The first two steps are accomplished using heliopy.data (to get the in-situ data) and heliopy.spice (to get the trajectory). This is then fed into Variable.sample_at_coords to get the model values, which we then compare to the in-situ data.

First, load the required modules.

import matplotlib.pyplot as plt

from heliopy.data import psp
import heliopy.data.spice as spicedata
import heliopy.spice as spice

from psipy.model import MASOutput
from psipy.data import sample_data

Out:

Creating download directory /home/docs/heliopy/data
Downloading https://naif.jpl.nasa.gov/pub/naif/generic_kernels/lsk/naif0012.tls

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Downloading https://naif.jpl.nasa.gov/pub/naif/generic_kernels/spk/planets/de430.bsp

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 99.8% 119472128 / 119741440
 99.8% 119480320 / 119741440
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 99.8% 119496704 / 119741440
 99.8% 119504896 / 119741440
 99.8% 119513088 / 119741440
 99.8% 119521280 / 119741440
 99.8% 119529472 / 119741440
 99.8% 119537664 / 119741440
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 99.9% 119562240 / 119741440
 99.9% 119570432 / 119741440
 99.9% 119578624 / 119741440
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100.0% 119685120 / 119741440
100.0% 119693312 / 119741440
100.0% 119701504 / 119741440
100.0% 119709696 / 119741440
100.0% 119717888 / 119741440
100.0% 119726080 / 119741440
100.0% 119734272 / 119741440
100.0% 119742464 / 119741440
Downloading https://naif.jpl.nasa.gov/pub/naif/generic_kernels/pck/pck00010.tpc

  0.0%      0 / 126143
  6.5%   8192 / 126143
 13.0%  16384 / 126143
 19.5%  24576 / 126143
 26.0%  32768 / 126143
 32.5%  40960 / 126143
 39.0%  49152 / 126143
 45.5%  57344 / 126143
 52.0%  65536 / 126143
 58.4%  73728 / 126143
 64.9%  81920 / 126143
 71.4%  90112 / 126143
 77.9%  98304 / 126143
 84.4% 106496 / 126143
 90.9% 114688 / 126143
 97.4% 122880 / 126143
100.0% 131072 / 126143
Downloading https://naif.jpl.nasa.gov/pub/naif/pds/data/nh-j_p_ss-spice-6-v1.0/nhsp_1000/data/fk/heliospheric_v004u.tf

  0.0%     0 / 12621
 64.9%  8192 / 12621
100.0% 16384 / 12621

Load a set of MAS output files.

mas_path = sample_data.mas_helio()
model = MASOutput(mas_path)
print(model.variables)

Out:

['br', 'rho', 'vr']

Load PSP data.

Here we load the merged magnetic field and plasma data product, which has an hourly data cadence.

starttime = '2018-10-22'
endtime = '2018-11-21'
psp_data = psp.merged_mag_plasma(starttime, endtime)
print(psp_data.columns)

Out:

Downloading https://spdf.gsfc.nasa.gov/pub/data/psp/coho1hr_magplasma/cdf/2018/psp_coho1hr_merged_mag_plasma_20181001_v01.cdf to /home/docs/heliopy/data/psp/coho1hr_magplasma/cdf/2018/psp_coho1hr_merged_mag_plasma_20181001_v01.cdf

  0.0%      0 / 170258
  4.8%   8192 / 170258
  9.6%  16384 / 170258
 14.4%  24576 / 170258
 19.2%  32768 / 170258
 24.1%  40960 / 170258
 28.9%  49152 / 170258
 33.7%  57344 / 170258
 38.5%  65536 / 170258
 43.3%  73728 / 170258
 48.1%  81920 / 170258
 52.9%  90112 / 170258
 57.7%  98304 / 170258
 62.5% 106496 / 170258
 67.4% 114688 / 170258
 72.2% 122880 / 170258
 77.0% 131072 / 170258
 81.8% 139264 / 170258
 86.6% 147456 / 170258
 91.4% 155648 / 170258
 96.2% 163840 / 170258
100.0% 172032 / 170258


Downloading https://spdf.gsfc.nasa.gov/pub/data/psp/coho1hr_magplasma/cdf/2018/psp_coho1hr_merged_mag_plasma_20181101_v01.cdf to /home/docs/heliopy/data/psp/coho1hr_magplasma/cdf/2018/psp_coho1hr_merged_mag_plasma_20181101_v01.cdf

  0.0%      0 / 170258
  4.8%   8192 / 170258
  9.6%  16384 / 170258
 14.4%  24576 / 170258
 19.2%  32768 / 170258
 24.1%  40960 / 170258
 28.9%  49152 / 170258
 33.7%  57344 / 170258
 38.5%  65536 / 170258
 43.3%  73728 / 170258
 48.1%  81920 / 170258
 52.9%  90112 / 170258
 57.7%  98304 / 170258
 62.5% 106496 / 170258
 67.4% 114688 / 170258
 72.2% 122880 / 170258
 77.0% 131072 / 170258
 81.8% 139264 / 170258
 86.6% 147456 / 170258
 91.4% 155648 / 170258
 96.2% 163840 / 170258
100.0% 172032 / 170258


['radialDistance', 'heliographicLatitude', 'heliographicLongitude', 'BR', 'BT', 'BN', 'B', 'VR', 'VT', 'VN', 'ProtonSpeed', 'flow_theta', 'flow_lon', 'protonDensity', 'protonTemp']

Generate the PSP trajectory.

We take the timestamps from the previously loaded data, and use heliopy.spice to generate the trajectory at these times.

times = psp_data.index

spicedata.get_kernel('psp')
spicedata.get_kernel('psp_pred')
psp_traj = spice.Trajectory('SPP')
psp_traj.generate_positions(times, 'Sun', 'IAU_SUN')
psp_coords = psp_traj.coords
print(psp_coords)

Out:

Downloading https://sppgway.jhuapl.edu/MOC/reconstructed_ephemeris/2021/spp_recon_20210325_20210525_v001.bsp

  0.0%       0 / 5565440
  0.1%    8192 / 5565440
  0.3%   16384 / 5565440
  0.4%   24576 / 5565440
  0.6%   32768 / 5565440
  0.7%   40960 / 5565440
  0.9%   49152 / 5565440
  1.0%   57344 / 5565440
  1.2%   65536 / 5565440
  1.3%   73728 / 5565440
  1.5%   81920 / 5565440
  1.6%   90112 / 5565440
  1.8%   98304 / 5565440
  1.9%  106496 / 5565440
  2.1%  114688 / 5565440
  2.2%  122880 / 5565440
  2.4%  131072 / 5565440
  2.5%  139264 / 5565440
  2.6%  147456 / 5565440
  2.8%  155648 / 5565440
  2.9%  163840 / 5565440
  3.1%  172032 / 5565440
  3.2%  180224 / 5565440
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  4.1%  229376 / 5565440
  4.3%  237568 / 5565440
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  4.6%  253952 / 5565440
  4.7%  262144 / 5565440
  4.9%  270336 / 5565440
  5.0%  278528 / 5565440
  5.2%  286720 / 5565440
  5.3%  294912 / 5565440
  5.4%  303104 / 5565440
  5.6%  311296 / 5565440
  5.7%  319488 / 5565440
  5.9%  327680 / 5565440
  6.0%  335872 / 5565440
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  6.3%  352256 / 5565440
  6.5%  360448 / 5565440
  6.6%  368640 / 5565440
  6.8%  376832 / 5565440
  6.9%  385024 / 5565440
  7.1%  393216 / 5565440
  7.2%  401408 / 5565440
  7.4%  409600 / 5565440
  7.5%  417792 / 5565440
  7.7%  425984 / 5565440
  7.8%  434176 / 5565440
  7.9%  442368 / 5565440
  8.1%  450560 / 5565440
  8.2%  458752 / 5565440
  8.4%  466944 / 5565440
  8.5%  475136 / 5565440
  8.7%  483328 / 5565440
  8.8%  491520 / 5565440
  9.0%  499712 / 5565440
  9.1%  507904 / 5565440
  9.3%  516096 / 5565440
  9.4%  524288 / 5565440
  9.6%  532480 / 5565440
  9.7%  540672 / 5565440
  9.9%  548864 / 5565440
 10.0%  557056 / 5565440
 10.2%  565248 / 5565440
 10.3%  573440 / 5565440
 10.5%  581632 / 5565440
 10.6%  589824 / 5565440
 10.7%  598016 / 5565440
 10.9%  606208 / 5565440
 11.0%  614400 / 5565440
 11.2%  622592 / 5565440
 11.3%  630784 / 5565440
 11.5%  638976 / 5565440
 11.6%  647168 / 5565440
 11.8%  655360 / 5565440
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Downloading https://sppgway.jhuapl.edu/MOC/reconstructed_ephemeris/2021/spp_recon_20210226_20210325_v001.bsp

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Downloading https://sppgway.jhuapl.edu/MOC/reconstructed_ephemeris/2020/spp_recon_20201016_20210101_v001.bsp

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Downloading https://sppgway.jhuapl.edu/MOC/reconstructed_ephemeris/2020/spp_recon_20200802_20201016_v001.bsp

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100.0% 7233536 / 7236608
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Downloading https://sppgway.jhuapl.edu/MOC/reconstructed_ephemeris/2020/spp_recon_20200705_20200802_v001.bsp

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Downloading https://sppgway.jhuapl.edu/MOC/reconstructed_ephemeris/2020/spp_recon_20200505_20200705_v001.bsp

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Downloading https://sppgway.jhuapl.edu/MOC/reconstructed_ephemeris/2020/spp_recon_20200301_20200505_v001.bsp

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Downloading https://sppgway.jhuapl.edu/MOC/reconstructed_ephemeris/2020/spp_recon_20200101_20200301_v001.bsp

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Downloading https://sppgway.jhuapl.edu/MOC/reconstructed_ephemeris/2019/spp_recon_20190914_20200101_v001.bsp

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Downloading https://sppgway.jhuapl.edu/MOC/reconstructed_ephemeris/2019/spp_recon_20190416_20190914_v001.bsp

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Downloading https://sppgway.jhuapl.edu/MOC/reconstructed_ephemeris/2019/spp_recon_20190120_20190416_v001.bsp

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Downloading https://sppgway.jhuapl.edu/MOC/reconstructed_ephemeris/2018/spp_recon_20181008_20190120_v001.bsp

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Downloading https://sppgway.jhuapl.edu/MOC/reconstructed_ephemeris/2018/spp_recon_20180812_20181008_v001.bsp

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Downloading https://sppgway.jhuapl.edu/MOC/ephemerides//spp_nom_20180812_20250831_v038_RO5.bsp

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  2.3%  1949696 / 85471232
  2.3%  1957888 / 85471232
  2.3%  1966080 / 85471232
  2.3%  1974272 / 85471232
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  2.3%  1990656 / 85471232
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  2.4%  2048000 / 85471232
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  2.6%  2252800 / 85471232
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  4.0%  3383296 / 85471232
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  4.1%  3481600 / 85471232
  4.1%  3489792 / 85471232
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  4.3%  3637248 / 85471232
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  4.4%  3751936 / 85471232
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  4.4%  3768320 / 85471232
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  4.6%  3891200 / 85471232
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  4.6%  3907584 / 85471232
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  4.7%  3997696 / 85471232
  4.7%  4005888 / 85471232
  4.7%  4014080 / 85471232
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  6.0%  5120000 / 85471232
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<SkyCoord (HeliographicCarrington: obstime=['2018-10-22T01:00:00.000000000' '2018-10-22T01:00:00.000000000'
 '2018-10-22T01:00:00.000000000' ... '2018-11-20T23:00:00.000000000'
 '2018-11-20T23:00:00.000000000' '2018-11-20T23:00:00.000000000'], rsun=695700.0 km, observer=<HeliographicStonyhurst Coordinate (obstime=None, rsun=695700.0 km): (lon, lat, radius) in (deg, deg, m)
    (0., 0., 6.957e+08)>): (lon, lat, radius) in (deg, deg, km)
    [( 59.35928702, 2.60291983, 67634782.24605039),
     ( 59.35928702, 2.60291983, 67634782.24605039),
     ( 59.35928702, 2.60291983, 67634782.24605039), ...,
     (239.24581804, 1.7033523 , 66806552.94984374),
     (239.24581804, 1.7033523 , 66806552.94984374),
     (239.24581804, 1.7033523 , 66806552.94984374)]>

Take a sample of the radial velocity.

Here we start by getting the radial velocity Variable from the model, and then use the PSP corodinate information to sample it.

vr_model = model['vr']
vr_sampled = vr_model.sample_at_coords(psp_coords.lon,
                                       psp_coords.lat,
                                       psp_coords.radius)

We can now plot a comparison between the model and in-situ measurements.

fig, ax = plt.subplots()
ax.plot(times, vr_sampled, label='Model')
ax.plot(times, psp_data.quantity('VR'), label='PSP')

ax.set_ylabel(r'$v_{r}$ (km/s)')
ax.legend()
fig.autofmt_xdate()
plot in situ comparison

To finish, we’ll perform the same comparison, but with a few different variables.

fig, axs = plt.subplots(nrows=3, sharex=True)
for ax, mas_name, psp_name in zip(axs,
                                  ['rho', 'vr', 'br'],
                                  ['protonDensity', 'VR', 'BR']):
    model_var = model[mas_name]
    sampled = model_var.sample_at_coords(psp_coords.lon,
                                         psp_coords.lat,
                                         psp_coords.radius)

    in_situ = psp_data.quantity(psp_name)

    # Note that we convert the sampled data to the same units as the PSP data
    ax.plot(times, sampled.to(in_situ.unit), label='Model')
    ax.plot(times, in_situ, label='PSP')

    ax.set_ylabel(str(model_var.unit))
    ax.legend()

fig.autofmt_xdate()

plt.show()
plot in situ comparison

Total running time of the script: ( 0 minutes 34.369 seconds)

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