Orbital Analysis for matched events on 20210813_013303.198_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.04° Bg 38.99° Vg 58.54km/s
mass 0.07249g, abs. mag -1.2
Path Details
------------
start -1.18° 52.27° 109.80km
end   -1.35° 52.19° 90.10km

Orbit Details
-------------
Semimajor axis 11.79A.U., eccentricity 0.92, inclination 112.12°, Period 40.49Y, LA Sun 140.25°, last Perihelion 2021-07-23

Full details below
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Input measurement type: Azimuth +east of due north for meas1, Elevation angle above the horizon for meas2

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459439.564620355144
Time: 2021-08-13 01:33:03.239199 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK002H
 Convergence angle = 41.38044 deg
 R.A. =  47.36620  Dec = +58.44833 deg

Best intersection: Stations UK000C and UK002H with Qconv = 41.38 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3821594.99 +/- 122.15 m
 Y =  -1109527.64 +/- 33.78 m
 Z =   5109686.35 +/- 20.25 m
 Vx =    20954.12 +/- 376.75 m/s
 Vy =    22779.74 +/- 125.52 m/s
 Vz =    50908.48 +/- 286.39 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.845125e+04, +3.617453e+03, +9.477684e+02, +5.337562e+04, +1.026625e+04, +4.881995e+02
+3.617453e+03, +1.196084e+03, +3.514985e+00, +1.122102e+04, +3.325908e+03, -7.084327e+02
+9.477684e+02, +3.514985e+00, +4.846284e+02, +2.215534e+03, -4.150228e+02, +2.330138e+02
+5.337562e+04, +1.122102e+04, +2.215534e+03, +1.688318e+05, +3.378148e+04, +5.407253e+01
+1.026625e+04, +3.325908e+03, -4.150228e+02, +3.378148e+04, +1.044915e+04, -1.897762e+03
+4.881995e+02, -7.084327e+02, +2.330138e+02, +5.407253e+01, -1.897762e+03, +2.854388e+03

Timing offsets (from input data):
    UK000C: -0.002076 s
    UK002H: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 01:33:03.239199 UTC
  Lon     = +-1.166905 +/- 0.0009 deg
  Lat     = +52.271894 +/- 0.0008 deg
  Lat geo = +52.088693 +/- 0.0008 deg
  Ht      =  111610.68 +/- 72.82 m

  JD dynamic   = 2459439.565421564970 
  LST apparent = 343.8103468221 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  47.39036 +/- 0.4123 deg
  Dec       = +58.70115 +/- 0.2633 deg
  Azimuth   =  53.83746 +/- 0.5459 deg
  Elevation = +54.81190 +/- 0.1322 deg
  Vavg      =  58.38243 +/- 0.0390 km/s
  Vinit     =  59.57906 +/- 0.1679 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  47.62739 +/- 0.4123 deg
  Dec       = +58.48787 +/- 0.2633 deg
  Azimuth   =  54.12127 +/- 0.5459 deg
  Elevation = +54.62786 +/- 0.1322 deg
  Vavg      =  58.51799 +/- 0.0390 km/s
  Vinit     =  59.71462 +/- 0.1679 km/s
Radiant (geocentric, J2000):
  R.A.   =  47.55564 +/- 0.4197 deg
  Dec    = +58.52081 +/- 0.2637 deg
  Vg     =  58.53697 +/- 0.1709 km/s
  Vinf   =  59.57906 +/- 0.1679 km/s
  Zc     =  35.29647 +/- 0.1335 deg
  Zg     =  35.61811 +/- 0.1364 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.03731 +/- 0.3781 deg
  Bg     = +38.99082 +/- 0.1775 deg
  Vh     =  40.93745 +/- 0.0562 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  83.35085 +/- 1.1593 deg
  Bh     = +64.11936 +/- 0.1893 deg
  Vh_x   =  -2.06905 +/- 0.3760 km/s
  Vh_y   = -17.74892 +/- 0.0861 km/s
  Vh_z   = -36.83164 +/- 0.0660 km/s
Orbit:
  La Sun = 140.250549 +/- -0.0000 deg
  a      =  11.792010 +/- 0.8164 AU
  e      =   0.919171 +/- 0.0048
  i      = 112.117931 +/- 0.4141 deg
  peri   = 151.182610 +/- 0.7953 deg
  node   = 140.250372 +/- 0.0000 deg
  Pi     = 291.432982 +/- 0.7953 deg
  q      =   0.953139 +/- 0.0031 AU
  f      =  28.813702 +/- 0.7953 deg
  M      =   0.498101 +/- 0.0511 deg
  Q      =  22.630882 +/- 1.6309 AU
  n      =   0.024340 +/- 0.0022 deg/day
  T      =  40.493229 +/- 4.3521 years
  Last perihelion JD = 2459419.101217 (2021-07-23 14:25:45.115712) +/- 0.5290 days
  Tj     =  -0.005105 +/- 0.0324
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.805417e-05, +1.011713e-05, +1.953942e-03, -1.114687e-09, +4.855883e-05, +1.597218e-05
q   , +1.011713e-05, +1.141665e-05, +1.958805e-03, -1.747909e-09, +5.154498e-05, +2.509212e-05
Tp  , +1.953942e-03, +1.958805e-03, +3.386221e-01, -2.948863e-07, +8.877736e-03, +4.232802e-03
node, -1.114687e-09, -1.747909e-09, -2.948863e-07, +2.946690e-13, -7.825090e-09, -4.230753e-09
peri, +4.855883e-05, +5.154498e-05, +8.877736e-03, -7.825090e-09, +2.331761e-04, +1.123266e-04
i   , +1.597218e-05, +2.509212e-05, +4.232802e-03, -4.230753e-09, +1.123266e-04, +6.074398e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK002H
  Avg. res. = 2.238e-06 s
  Stddev    = 1.50e-03 s

Begin point on the trajectory:
  Lon =    -1.181774 +/- 0.0008 deg
  Lat =    52.265226 +/- 0.0007 deg
  Ht  = 109796.98 +/- 64.91 m
End point on the trajectory:
  Lon =    -1.345356 +/- 0.0002 deg
  Lat =    52.192371 +/- 0.0005 deg
  Ht  = 90095.36 +/- 17.57 m

Stations
--------
        ID, Ignored, Lon +E (deg), Lat +N (deg),  Ht (m), Jacchia a1, Jacchia a2,  Beg Ht (m),  End Ht (m), +/- Obs ang (deg), +/- V (m), +/- H (m), Persp. angle (deg), Weight, FOV Beg, FOV End, Comment
    UK000C,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,   106990.13,    90120.42,          0.034093,     24.89,     89.36,              44.56, 1.0000,    True,    True, {"ff_name": "FF_UK000C_20210813_013253_962_0483840.fits"}
    UK002H,   False,    -2.412630,    53.386080,   20.00,   0.000000,   0.000000,   109796.98,    90095.36,          0.007306,     19.62,     12.82,              61.47, 1.0000,    True,    True, {"ff_name": "FF_UK002H_20210813_013301_583_0463872.fits"}

Points
------
 No, Station ID,  Ignore,  Time (s),                   JD,     meas1,     meas2, Azim +E of due N (deg), Alt (deg), Azim line (deg), Alt line (deg), RA obs (deg), Dec obs (deg), RA line (deg), Dec line (deg),       X (m),       Y (m),       Z (m), Latitude (deg), Longitude (deg), Height (m),  Range (m), Length (m), State vect dist (m),  Lag (m), Vel (m/s), Vel prev avg (m/s), H res (m), V res (m), Ang res (asec), AppMag, AbsMag
  0,     UK000C,       0,  0.089898, 2459439.564621419646, 221.81463,  75.54354,              343.47940,  42.18653,       343.55573,       42.12020,    221.81463,     +75.54354,     221.46680,      +75.53714,  3819606.26, -1111689.64,  5104854.67,      52.254893,       -1.205011,  106990.13,  157864.44,       0.00,             5654.59,   493.18,      0.00,           55009.39,    231.43,     64.35,         313.86,  +1.81,  +0.82
  1,     UK000C,       0,  0.129970, 2459439.564621883444, 221.78469,  75.01949,              342.98554,  41.81238,       343.02176,       41.78116,    221.78469,     +75.01949,     221.62599,      +75.01653,  3818910.38, -1112446.15,  5103164.03,      52.248936,       -1.218442,  105373.72,  156491.65,    1978.59,             7633.17,    84.31,  49375.80,           55009.39,    108.58,     30.32,         148.59,  +0.34,  -0.63
  2,     UK000C,       0,  0.170046, 2459439.564622347243, 221.77771,  74.44047,              342.44051,  41.40105,       342.43796,       41.40323,    221.77771,     +74.44047,     221.78923,      +74.44067,  3818154.30, -1113268.10,  5101327.11,      52.242458,       -1.233025,  103617.67,  155014.84,    4128.37,             9782.95,  -153.60,  53642.53,           55009.39,     -7.56,     -2.12,          10.45,  +0.32,  -0.63
  3,     UK000C,       0,  0.210082, 2459439.564622810576, 222.00662,  73.75799,              341.74435,  40.95925,       341.75434,       40.95078,    222.00662,     +73.75799,     221.96705,      +73.75723,  3817274.61, -1114224.43,  5099189.89,      52.234915,       -1.249968,  101574.84,  153316.38,    6629.59,            12284.18,   -37.68,  62474.47,           55009.39,     29.22,      8.18,          40.82,  -0.23,  -1.16
  4,     UK000C,       0,  0.250130, 2459439.564623273909, 222.17698,  73.06562,              341.05975,  40.49816,       341.07136,       40.48841,    222.17698,     +73.06562,     222.13298,      +73.06478,  3816402.86, -1115172.14,  5097071.95,      52.227432,       -1.266765,   99550.73,  151655.36,    9108.26,            14762.85,    54.96,  61892.35,           57086.01,     33.52,      9.38,          47.34,  -0.66,  -1.56
  5,     UK000C,       0,  0.290174, 2459439.564623737708, 222.35883,  72.39967,              340.40164,  40.05735,       340.42277,       40.03974,    222.35883,     +72.39967,     222.28112,      +72.39821,  3815581.63, -1116064.92,  5095076.75,      52.220377,       -1.282603,   97644.20,  150111.57,   11443.27,            17097.85,     4.19,  58311.08,           57854.49,     60.33,     16.86,          86.08,  -0.56,  -1.44
  6,     UK000C,       0,  0.330222, 2459439.564624201041, 222.51475,  71.71688,              339.74091,  39.59797,       339.76709,       39.57632,    222.51475,     +71.71688,     222.42200,      +71.71514,  3814757.24, -1116961.13,  5093073.89,      52.213288,       -1.298505,   95730.62,  148582.77,   13787.25,            19441.84,   -37.85,  58529.39,           58201.31,     73.89,     20.64,         106.50,  -0.84,  -1.70
  7,     UK000C,       0,  0.370302, 2459439.564624664839, 222.60163,  70.95220,              339.03432,  39.06242,       339.04472,       39.05391,    222.60163,     +70.95220,     222.56729,      +70.95153,  3813854.89, -1117942.10,  5090881.60,      52.205522,       -1.315900,   93636.36,  146933.91,   16352.93,            22007.52,   139.90,  64013.94,           58830.59,     28.98,      8.10,          42.24,  -0.90,  -1.74
  8,     UK000C,       0,  0.410358, 2459439.564625128638, 222.75457,  70.22641,              338.34939,  38.56791,       338.36754,       38.55315,    222.75457,     +70.22641,     222.69586,      +70.22529,  3813015.34, -1118854.79,  5088841.91,      52.198289,       -1.332101,   91688.17,  145424.08,   18740.01,            24394.60,   140.49,  59593.68,           59175.10,     50.06,     13.99,          73.72,  -1.31,  -2.12
  9,     UK000C,       0,  0.450426, 2459439.564625592437, 222.80026,  69.62917,              337.81641,  38.14100,       337.81829,       38.13947,    222.80026,     +69.62917,     222.79606,      +69.62906,  3812339.67, -1119589.33,  5087200.35,      52.192464,       -1.345175,   90120.42,  144226.96,   20661.15,            26315.74,  -325.59,  47946.93,           58737.79,      5.15,      1.44,           7.64,  -0.91,  -1.71
  0,     UK002H,       1,  0.000000, 2459439.564620355144,  10.08080,   4.07352,              145.38756,  35.77722,       145.39312,       35.78111,     10.08080,      +4.07352,      10.07522,       +4.07566,  3821596.81, -1109525.67,  5109690.76,      52.271909,       -1.166702,  111614.90,  187798.23,       0.00,                5.16,   199.78,      0.00,           58640.87,    -10.70,    -16.35,          21.46,  +3.86,  +2.49
  1,     UK002H,       0,  0.040500, 2459439.564620824065,   9.84347,   3.51911,              145.89148,  35.33519,       145.87836,       35.32605,      9.84347,      +3.51911,       9.85681,       +3.51408,  3820814.43, -1110376.20,  5107789.97,      52.265226,       -1.181774,  109796.98,  186751.48,    2224.53,             2219.37,     1.03,  54926.60,           58640.87,     25.10,     38.41,          50.68,  +1.62,  +0.26
  2,     UK002H,       0,  0.081096, 2459439.564621293917,   9.59501,   2.84860,              146.44972,  34.78534,       146.44665,       34.78321,      9.59501,      +2.84860,       9.59844,       +2.84742,  3819896.89, -1111373.69,  5105560.77,      52.257380,       -1.199427,  107665.27,  185551.38,    4833.39,             4828.23,   191.22,  64264.05,           58640.87,      5.85,      8.95,          11.89,  +0.98,  -0.36
  3,     UK002H,       0,  0.121608, 2459439.564621762838,   9.36129,   2.27818,              146.94459,  34.32297,       146.93090,       34.31352,      9.36129,      +2.27818,       9.37557,       +2.27292,  3819115.55, -1112223.11,  5103662.48,      52.250693,       -1.214488,  105850.26,  184551.70,    7054.99,             7049.83,    -0.84,  54838.16,           58640.87,     25.96,     39.73,          53.04,  +0.22,  -1.11
  4,     UK002H,       0,  0.162180, 2459439.564622232225,   9.12876,   1.63775,              147.45991,  33.79205,       147.45970,       33.79190,      9.12876,      +1.63775,       9.12966,       +1.63767,  3818261.27, -1113151.81,  5101587.01,      52.243375,       -1.230943,  103866.12,  183483.87,    9483.95,             9478.79,    10.88,  59867.80,           58694.00,      0.41,      0.63,           0.85,  -0.06,  -1.38
  5,     UK002H,       0,  0.202748, 2459439.564622701611,   8.88745,   1.00243,              147.97708,  33.26671,       147.98089,       33.26932,      8.88745,      +1.00243,       8.88444,       +1.00390,  3817418.71, -1114067.78,  5099539.98,      52.236151,       -1.247181,  101909.45,  182456.29,   11879.63,            11874.47,   -10.45,  59053.37,           58760.54,     -7.18,    -10.98,          14.84,  -0.17,  -1.48
  6,     UK002H,       0,  0.243340, 2459439.564623171464,   8.62903,   0.33851,              148.51804,  32.71745,       148.52049,       32.71911,      8.62903,      +0.33851,       8.62758,       +0.33946,  3816545.33, -1115017.25,  5097418.09,      52.228656,       -1.264010,   99881.51,  181418.71,   14362.92,            14357.75,    54.40,  61176.77,           59043.47,     -4.58,     -7.01,           9.52,  -0.15,  -1.44
  7,     UK002H,       0,  0.283912, 2459439.564623641316,   8.38124,  -0.30021,              149.03134,  32.18663,       149.03328,       32.18795,      8.38124,      -0.30021,       8.38046,       -0.29946,  3815714.71, -1115920.24,  5095400.08,      52.221521,       -1.280028,   97953.14,  180457.97,   16724.63,            16719.47,    -1.13,  58210.40,           59091.85,     -3.62,     -5.54,           7.56,  -0.17,  -1.45
  8,     UK002H,       0,  0.324504, 2459439.564624111168,   8.13055,  -0.96394,              149.55076,  31.63080,       149.55796,       31.63568,      8.13055,      -0.96394,       8.12459,       -0.96114,  3814863.58, -1116845.52,  5093332.24,      52.214203,       -1.296443,   95977.44,  179500.68,   19144.65,            19139.48,     0.46,  59618.11,           59149.53,    -13.42,    -20.54,          28.19,  -0.28,  -1.55
  9,     UK002H,       0,  0.365128, 2459439.564624581020,   7.84686,  -1.66486,              150.11358,  31.04715,       150.11005,       31.04477,      7.84686,      -1.66486,       7.85198,       -1.66623,  3813966.33, -1117820.95,  5091152.35,      52.206482,       -1.313742,   93894.98,  178521.89,   21695.82,            21690.66,   131.29,  62799.61,           59378.33,      6.56,     10.04,          13.86,  -0.38,  -1.64
 10,     UK002H,       0,  0.405732, 2459439.564625051338,   7.59229,  -2.34019,              150.62834,  30.47694,       150.63086,       30.47863,      7.59229,      -2.34019,       7.59142,       -2.33920,  3813118.84, -1118742.28,  5089093.35,      52.199181,       -1.330096,   91928.31,  177625.95,   24105.49,            24100.33,   121.82,  59345.80,           59501.59,     -4.66,     -7.14,           9.90,  -0.35,  -1.60
 11,     UK002H,       0,  0.446292, 2459439.564625520725,   7.33735,  -2.97002,              151.12213,  29.94830,       151.11575,       29.94402,      7.33735,      -2.97002,       7.34575,       -2.97251,  3812328.87, -1119601.07,  5087174.10,      52.192371,       -1.345356,   90095.36,  176816.11,   26351.63,            26346.47,   -48.57,  55378.04,           59414.12,     11.79,     18.05,          25.15,  -0.37,  -1.61
 12,     UK002H,       1,  0.486720, 2459439.564625988249,   7.12895,  -3.44956,              151.51009,  29.54854,       151.48570,       29.53225,      7.12895,      -3.44956,       7.15601,       -3.45913,  3811726.67, -1120255.73,  5085711.06,      52.187175,       -1.357030,   88698.23,  176214.47,   28063.85,            28058.69,  -745.01,  42352.45,           58800.99,     44.95,     68.90,          96.29,  +1.12,  -0.11

Notes
-----
- Points that have not been taken into consideration when computing the trajectory have '1' in the 'Ignore' column.
- The time already has time offsets applied to it.
- 'meas1' and 'meas2' are given input points.
- X, Y, Z are ECI (Earth-Centered Inertial) positions of projected lines of sight on the radiant line.
- Zc is the observed zenith distance of the entry angle, while the Zg is the entry zenith distance corrected for Earth's gravity.
- Latitude (deg) and Longitude (deg) are in WGS84 coordinates, while Height (m) is in the EGM96 datum. There values are coordinates of each point on the radiant line.
- Jacchia (1955) deceleration equation fit was done on the lag.
- Right ascension and declination in the table are given in the epoch of date for the corresponding JD, per every point.
- 'RA and Dec obs' are the right ascension and declination calculated from the observed values, while the 'RA and Dec line' are coordinates of the lines of sight projected on the fitted radiant line. The coordinates are in the epoch of date, and NOT J2000!. 'Azim and alt line' are thus corresponding azimuthal coordinates.
- 'Vel prev avg' is the average velocity including all previous points up to the given point. For the first 4 points this velocity is computed as the average velocity of those 4 points.