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 astropy.units as u
import heliopy.data.spice as spicedata
import heliopy.spice as spice
import matplotlib.pyplot as plt
from heliopy.data import psp

from psipy.data import sample_data
from psipy.model import MASOutput
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
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 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
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 99.9% 119611392 / 119741440
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 99.9% 119627776 / 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_sample_data()
model = MASOutput(mas_path)
print(model.variables)
  0%|                                              | 0.00/8.02M [00:00<?, ?B/s]
  1%|▍                                     | 98.3k/8.02M [00:00<00:11, 717kB/s]
  6%|██                                    | 442k/8.02M [00:00<00:04, 1.76MB/s]
 20%|███████▍                             | 1.62M/8.02M [00:00<00:01, 5.56MB/s]
 38%|█████████████▉                       | 3.03M/8.02M [00:00<00:00, 8.33MB/s]
 61%|██████████████████████▌              | 4.88M/8.02M [00:00<00:00, 11.7MB/s]
 85%|███████████████████████████████▌     | 6.84M/8.02M [00:00<00:00, 14.2MB/s]
  0%|                                              | 0.00/8.02M [00:00<?, ?B/s]
100%|█████████████████████████████████████| 8.02M/8.02M [00:00<00:00, 10.3GB/s]

  0%|                                              | 0.00/7.94M [00:00<?, ?B/s]
  1%|▍                                     | 98.3k/7.94M [00:00<00:10, 716kB/s]
  6%|██                                    | 442k/7.94M [00:00<00:04, 1.76MB/s]
 22%|████████                             | 1.72M/7.94M [00:00<00:01, 5.93MB/s]
 38%|██████████████                       | 3.03M/7.94M [00:00<00:00, 8.12MB/s]
 63%|███████████████████████▎             | 5.00M/7.94M [00:00<00:00, 11.9MB/s]
 88%|████████████████████████████████▍    | 6.96M/7.94M [00:00<00:00, 14.0MB/s]
  0%|                                              | 0.00/7.94M [00:00<?, ?B/s]
100%|█████████████████████████████████████| 7.94M/7.94M [00:00<00:00, 10.3GB/s]

  0%|                                              | 0.00/7.96M [00:00<?, ?B/s]
  1%|▍                                     | 98.3k/7.96M [00:00<00:10, 724kB/s]
  6%|██                                    | 442k/7.96M [00:00<00:04, 1.77MB/s]
 22%|████████▏                            | 1.77M/7.96M [00:00<00:01, 6.15MB/s]
 38%|██████████████                       | 3.03M/7.96M [00:00<00:00, 8.27MB/s]
 61%|██████████████████████▌              | 4.85M/7.96M [00:00<00:00, 11.5MB/s]
 85%|███████████████████████████████▋     | 6.80M/7.96M [00:00<00:00, 14.1MB/s]
  0%|                                              | 0.00/7.96M [00:00<?, ?B/s]
100%|█████████████████████████████████████| 7.96M/7.96M [00:00<00:00, 17.1GB/s]

  0%|                                              | 0.00/7.89M [00:00<?, ?B/s]
  1%|▍                                     | 98.3k/7.89M [00:00<00:10, 720kB/s]
  6%|██▏                                   | 442k/7.89M [00:00<00:04, 1.77MB/s]
 22%|███████▉                             | 1.70M/7.89M [00:00<00:01, 5.88MB/s]
 38%|██████████████▏                      | 3.03M/7.89M [00:00<00:00, 8.15MB/s]
 64%|███████████████████████▌             | 5.03M/7.89M [00:00<00:00, 12.0MB/s]
 88%|████████████████████████████████▋    | 6.96M/7.89M [00:00<00:00, 14.1MB/s]
  0%|                                              | 0.00/7.89M [00:00<?, ?B/s]
100%|█████████████████████████████████████| 7.89M/7.89M [00:00<00:00, 10.2GB/s]
['bp', 'br', 'bt', '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)
# Convert the density units to 1/cm**3 so they're the same as the MAS units
psp_data.units["protonDensity"] /= u.N
print(psp_data.columns)
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)
Downloading https://sppgway.jhuapl.edu/MOC/reconstructed_ephemeris/2021/spp_recon_20210325_20210525_v001.bsp

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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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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_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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  1.4%  1220608 / 85471232
  1.4%  1228800 / 85471232
  1.4%  1236992 / 85471232
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  1.9%  1622016 / 85471232
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  2.3%  1957888 / 85471232
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  2.6%  2236416 / 85471232
  2.6%  2244608 / 85471232
  2.6%  2252800 / 85471232
  2.6%  2260992 / 85471232
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  3.0%  2523136 / 85471232
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  4.0%  3383296 / 85471232
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  4.1%  3481600 / 85471232
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  4.4%  3751936 / 85471232
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  4.6%  3891200 / 85471232
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  4.6%  3907584 / 85471232
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  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 38.605 seconds)

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