Orbits from SPICE kernels

Generating orbits from SPICE kernels.

In this example we’ll download the Solar Orbiter SPICE kernel, and plot its orbit for the first year.

from datetime import datetime, timedelta

import matplotlib.pyplot as plt
import numpy as np

import astropy.units as u
import heliopy.data.spice as spicedata
import heliopy.spice as spice

Out:

Downloading https://naif.jpl.nasa.gov/pub/naif/generic_kernels/lsk/naif0012.tls

  0.0%    0 / 5257
100.0% 8192 / 5257
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
 99.8% 119488512 / 119741440
 99.8% 119496704 / 119741440
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 99.8% 119521280 / 119741440
 99.8% 119529472 / 119741440
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100.0% 119685120 / 119741440
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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 the Solar Orbiter spice kernel. HelioPy will automatically fetch and load the latest kernel. We can then inspect the kernel to check what the date coverage is for Solar Orbiter.

kernels = spicedata.get_kernel('solo')
solo = spice.Trajectory('Solar Orbiter')
coverage = kernels[0].coverage(spice.Body('Solar Orbiter'))
print(coverage)

Out:

Downloading ftp://spiftp.esac.esa.int/data/SPICE/SOLAR-ORBITER/kernels/spk/solo_ANC_soc-orbit_20200210-20301120_L016_V2_00025_V01.bsp

  0.0%       0 / 3456000
  0.2%    8192 / 3456000
  0.5%   16384 / 3456000
  0.7%   24576 / 3456000
  0.9%   32768 / 3456000
  1.2%   40960 / 3456000
  1.4%   49152 / 3456000
  1.7%   57344 / 3456000
  1.9%   65536 / 3456000
  2.1%   73728 / 3456000
  2.4%   81920 / 3456000
  2.6%   90112 / 3456000
  2.8%   98304 / 3456000
  3.1%  106496 / 3456000
  3.3%  114688 / 3456000
  3.6%  122880 / 3456000
  3.8%  131072 / 3456000
  4.0%  139264 / 3456000
  4.3%  147456 / 3456000
  4.5%  155648 / 3456000
  4.7%  163840 / 3456000
  5.0%  172032 / 3456000
  5.2%  180224 / 3456000
  5.5%  188416 / 3456000
  5.7%  196608 / 3456000
  5.9%  204800 / 3456000
  6.2%  212992 / 3456000
  6.4%  221184 / 3456000
  6.6%  229376 / 3456000
  6.9%  237568 / 3456000
  7.1%  245760 / 3456000
  7.3%  253952 / 3456000
  7.6%  262144 / 3456000
  7.8%  270336 / 3456000
  8.1%  278528 / 3456000
  8.3%  286720 / 3456000
  8.5%  294912 / 3456000
  8.8%  303104 / 3456000
  9.0%  311296 / 3456000
  9.2%  319488 / 3456000
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 10.0%  344064 / 3456000
 10.2%  352256 / 3456000
 10.4%  360448 / 3456000
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 12.1%  417792 / 3456000
 12.3%  425984 / 3456000
 12.6%  434176 / 3456000
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 13.0%  450560 / 3456000
 13.3%  458752 / 3456000
 13.5%  466944 / 3456000
 13.7%  475136 / 3456000
 14.0%  483328 / 3456000
 14.2%  491520 / 3456000
 14.5%  499712 / 3456000
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 14.9%  516096 / 3456000
 15.2%  524288 / 3456000
 15.4%  532480 / 3456000
 15.6%  540672 / 3456000
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 16.1%  557056 / 3456000
 16.4%  565248 / 3456000
 16.6%  573440 / 3456000
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 17.1%  589824 / 3456000
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 20.6%  712704 / 3456000
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 21.1%  729088 / 3456000
 21.3%  737280 / 3456000
 21.6%  745472 / 3456000
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 22.0%  761856 / 3456000
 22.3%  770048 / 3456000
 22.5%  778240 / 3456000
 22.8%  786432 / 3456000
 23.0%  794624 / 3456000
 23.2%  802816 / 3456000
 23.5%  811008 / 3456000
 23.7%  819200 / 3456000
 23.9%  827392 / 3456000
 24.2%  835584 / 3456000
 24.4%  843776 / 3456000
 24.7%  851968 / 3456000
 24.9%  860160 / 3456000
 25.1%  868352 / 3456000
 25.4%  876544 / 3456000
 25.6%  884736 / 3456000
 25.8%  892928 / 3456000
 26.1%  901120 / 3456000
 26.3%  909312 / 3456000
 26.5%  917504 / 3456000
 26.8%  925696 / 3456000
 27.0%  933888 / 3456000
 27.3%  942080 / 3456000
 27.5%  950272 / 3456000
 27.7%  958464 / 3456000
 28.0%  966656 / 3456000
 28.2%  974848 / 3456000
 28.4%  983040 / 3456000
 28.7%  991232 / 3456000
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 29.2% 1007616 / 3456000
 29.4% 1015808 / 3456000
 29.6% 1024000 / 3456000
 29.9% 1032192 / 3456000
 30.1% 1040384 / 3456000
 30.3% 1048576 / 3456000
 30.6% 1056768 / 3456000
 30.8% 1064960 / 3456000
 31.1% 1073152 / 3456000
 31.3% 1081344 / 3456000
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 31.8% 1097728 / 3456000
 32.0% 1105920 / 3456000
 32.2% 1114112 / 3456000
 32.5% 1122304 / 3456000
 32.7% 1130496 / 3456000
 32.9% 1138688 / 3456000
 33.2% 1146880 / 3456000
 33.4% 1155072 / 3456000
 33.7% 1163264 / 3456000
 33.9% 1171456 / 3456000
 34.1% 1179648 / 3456000
 34.4% 1187840 / 3456000
 34.6% 1196032 / 3456000
 34.8% 1204224 / 3456000
 35.1% 1212416 / 3456000
 35.3% 1220608 / 3456000
 35.6% 1228800 / 3456000
 35.8% 1236992 / 3456000
 36.0% 1245184 / 3456000
 36.3% 1253376 / 3456000
 36.5% 1261568 / 3456000
 36.7% 1269760 / 3456000
 37.0% 1277952 / 3456000
 37.2% 1286144 / 3456000
 37.5% 1294336 / 3456000
 37.7% 1302528 / 3456000
 37.9% 1310720 / 3456000
 38.2% 1318912 / 3456000
 38.4% 1327104 / 3456000
 38.6% 1335296 / 3456000
 38.9% 1343488 / 3456000
 39.1% 1351680 / 3456000
 39.3% 1359872 / 3456000
 39.6% 1368064 / 3456000
 39.8% 1376256 / 3456000
 40.1% 1384448 / 3456000
 40.3% 1392640 / 3456000
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[datetime.datetime(2020, 2, 10, 4, 55, 49, 670002, tzinfo=datetime.timezone.utc), datetime.datetime(2030, 11, 20, 12, 48, 13, 511161, tzinfo=datetime.timezone.utc)]

Next we define a set of times at which to sample the orbit.

starttime = coverage[0]
times = [starttime + timedelta(days=i) for i in range(1, 5 * 365)]

Generate positions. “IAU_SUN” is a Carrington frame of reference.

solo.generate_positions(times, 'Sun', 'IAU_SUN')
coords = solo.coords

Plot radial distance and elevation as a function of time

fig, axs = plt.subplots(3, 1, sharex=True)
for frame in ('heliographic_carrington', 'heliographic_stonyhurst'):
    coords = coords.transform_to(frame)
    axs[0].plot(times, coords.radius.to(u.au))
    axs[0].set_ylim(0, 1.1)
    axs[0].set_ylabel('r (AU)')

    axs[1].plot(times, coords.lat.to(u.deg))
    axs[1].set_ylabel('Latitude (deg)')

    axs[2].plot(times, coords.lon.to(u.deg), label=frame)
    axs[2].set_ylabel('Longitude (deg)')

axs[2].set_xlabel('Year')
axs[2].legend()
axs[0].set_title('Solar Orbiter orbit')
fig.align_ylabels()
plt.show()