Orbital Analysis for matched events on 20210813_005036.044_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 19.04° Bg 29.21° Vg 55.72km/s
mass 0.05199g, abs. mag -1.7
Path Details
------------
start 3.07° 50.91° 92.70km
end   3.01° 50.94° 82.68km

Orbit Details
-------------
Semimajor axis 4.17A.U., eccentricity 0.87, inclination 114.17°, Period 8.50Y, LA Sun 140.22°, last Perihelion 2013-03-25

Full details below
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Detailed report below graphs

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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: 2459439.535139407963
Time: 2021-08-13 00:50:36.044848 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002N and UK0032
 Convergence angle = 50.42328 deg
 R.A. =   3.68298  Dec = +34.08268 deg

Best intersection: Stations UK002N and UK0032 with Qconv = 50.42 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3774017.99 +/- 148.35 m
 Y =  -1570829.66 +/- 79.29 m
 Z =   4999502.61 +/- 83.72 m
 Vx =    46698.07 +/- 1140.36 m/s
 Vy =     3863.64 +/- 827.71 m/s
 Vz =    32127.49 +/- 1176.15 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.355090e+04, +9.703380e+03, -2.778714e+03, +1.351468e+05, +8.250037e+04, -3.382279e+04
+9.703380e+03, +7.636805e+03, -1.363290e+03, +6.865227e+04, +7.140714e+04, +2.063093e+03
-2.778714e+03, -1.363290e+03, +7.624600e+03, -5.632426e+04, -2.330566e+04, +2.956896e+04
+1.351468e+05, +6.865227e+04, -5.632426e+04, +1.189784e+06, +7.145943e+05, -2.845694e+05
+8.250037e+04, +7.140714e+04, -2.330566e+04, +7.145943e+05, +7.569784e+05, +1.663585e+04
-3.382279e+04, +2.063093e+03, +2.956896e+04, -2.845694e+05, +1.663585e+04, +2.728091e+05

Timing offsets (from input data):
    UK002N: 0.000000 s
    UK0032: -0.000939 s

Reference point on the trajectory:
  Time: 2021-08-13 00:50:36.044848 UTC
  Lon     = ++3.066958 +/- 0.0017 deg
  Lat     = +50.914398 +/- 0.0010 deg
  Lat geo = +50.728636 +/- 0.0010 deg
  Ht      =   92658.28 +/- 93.13 m

  JD dynamic   = 2459439.535940148868 
  LST apparent = 337.4018426294 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =   4.72968 +/- 0.9427 deg
  Dec       = +34.43612 +/- 0.9169 deg
  Azimuth   = 119.26851 +/- 1.4811 deg
  Elevation = +64.27571 +/- 1.0332 deg
  Vavg      =  56.66468 +/- 0.7645 km/s
  Vinit     =  56.81385 +/- 0.7657 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =   5.05255 +/- 0.9427 deg
  Dec       = +34.35781 +/- 0.9169 deg
  Azimuth   = 118.93343 +/- 1.4811 deg
  Elevation = +64.03954 +/- 1.0332 deg
  Vavg      =  56.77821 +/- 0.7645 km/s
  Vinit     =  56.92738 +/- 0.7657 km/s
Radiant (geocentric, J2000):
  R.A.   =   4.65241 +/- 0.9430 deg
  Dec    = +34.12777 +/- 0.9234 deg
  Vg     =  55.71690 +/- 0.7814 km/s
  Vinf   =  56.81385 +/- 0.7657 km/s
  Zc     =  25.63395 +/- 1.0326 deg
  Zg     =  25.88808 +/- 1.0373 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  19.04135 +/- 0.7171 deg
  Bg     = +29.21214 +/- 1.0353 deg
  Vh     =  39.21882 +/- 0.3283 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 345.80945 +/- 1.9498 deg
  Bh     = +43.89667 +/- 1.4039 deg
  Vh_x   = -27.39839 +/- 1.0395 km/s
  Vh_y   =   6.92805 +/- 0.7529 km/s
  Vh_z   = -27.19276 +/- 0.5313 km/s
Orbit:
  La Sun = 140.222241 +/- 0.0000 deg
  a      =   4.165347 +/- 0.5946 AU
  e      =   0.867870 +/- 0.0170
  i      = 114.173137 +/- 2.2443 deg
  peri   = 269.032877 +/- 1.7532 deg
  node   = 140.221759 +/- 0.0002 deg
  Pi     =  49.254636 +/- 1.7533 deg
  q      =   0.550365 +/- 0.0160 AU
  f      = 270.963344 +/- 1.7532 deg
  M      = 355.031591 +/- 0.9293 deg
  Q      =   7.780328 +/- 1.1927 AU
  n      =   0.115938 +/- 0.0206 deg/day
  T      =   8.501144 +/- 1.9268 years
  Last perihelion JD = 2456377.292885 (2013-03-25 19:01:45.233252) +/- 704.2264 days
  Tj     =   0.885423 +/- 0.1769
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.077094e-04, -1.294775e-04, -1.222532e+01, -3.425578e-08, +8.754860e-05, +5.079763e-04
q   , -1.294775e-04, +2.748421e-04, +2.362600e+00, +8.876147e-09, -5.025180e-04, -1.371556e-04
Tp  , -1.222532e+01, +2.362600e+00, +5.487577e+05, +1.390334e-03, +2.368269e+00, -2.048751e+01
node, -3.425578e-08, +8.876147e-09, +1.390334e-03, +8.378865e-12, +1.903409e-09, -1.227117e-07
peri, +8.754860e-05, -5.025180e-04, +2.368269e+00, +1.903409e-09, +1.009113e-03, -1.659078e-05
i   , +5.079763e-04, -1.371556e-04, -2.048751e+01, -1.227117e-07, -1.659078e-05, +1.797750e-03

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: UK002N
  Avg. res. = 9.931e-06 s
  Stddev    = 3.15e-03 s

Begin point on the trajectory:
  Lon =     3.067216 +/- 0.0017 deg
  Lat =    50.914306 +/- 0.0010 deg
  Ht  = 92702.08 +/- 37.70 m
End point on the trajectory:
  Lon =     3.007190 +/- 0.0015 deg
  Lat =    50.935251 +/- 0.0007 deg
  Ht  = 82676.26 +/- 37.18 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
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,    92702.08,    82676.26,          0.019328,     89.28,     33.27,              48.03, 1.0000,    True,    True, {"ff_name": "FF_UK002N_20210813_005035_585_0424704.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,  10.086203,   0.000000,    91882.75,    83481.76,          0.022005,     53.38,    112.06,              49.21, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210813_005034_539_0418048.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,     UK002N,       0,  0.000000, 2459439.535139407963,  47.19310,   9.55359,               96.84245,  17.68787,        96.82401,       17.69147,     47.19310,      +9.55359,      47.20464,       +9.56746,  3774057.95, -1570826.36,  4999530.10,      50.914306,       +3.067216,   92702.08,  286008.56,       0.00,               48.61,    51.97,      0.00,           56905.38,    -31.33,     83.86,          64.56,  +1.55,  -0.73
  1,     UK002N,       0,  0.040220, 2459439.535139873624,  47.49318,   9.36743,               96.72436,  17.35683,        96.75115,       17.35158,     47.49318,      +9.36743,      47.47657,       +9.34724,  3772087.86, -1570989.36,  4998174.71,      50.918814,       +3.054323,   90542.84,  284339.63,    2396.85,             2348.24,    66.55,  59593.56,           56905.38,     45.22,   -121.42,          93.99,  +0.53,  -1.74
  2,     UK002N,       0,  0.080448, 2459439.535140339285,  47.73211,   9.16066,               96.66889,  17.04771,        96.68558,       17.04444,     47.73211,      +9.16066,      47.72197,       +9.14808,  3770326.92, -1571135.05,  4996963.21,      50.922844,       +3.042771,   88612.96,  282855.62,    4539.25,             4490.64,   -76.57,  53256.34,           56905.38,     28.08,    -75.35,          58.64,  +0.81,  -1.45
  3,     UK002N,       0,  0.120696, 2459439.535140804946,  48.00521,   8.93464,               96.59853,  16.70232,        96.61220,       16.69965,     48.00521,      +8.93464,      47.99712,       +8.92432,  3768372.38, -1571296.76,  4995618.52,      50.927318,       +3.029958,   86471.06,  281219.71,    6917.18,             6868.57,    14.72,  59081.99,           56905.38,     22.90,    -61.44,          48.09,  +0.71,  -1.54
  4,     UK002N,       0,  0.160940, 2459439.535141270608,  48.29372,   8.71709,               96.51013,  16.35386,        96.53773,       16.34845,     48.29372,      +8.71709,      48.27701,       +8.69623,  3766404.78, -1571459.55,  4994264.85,      50.931825,       +3.017049,   84314.99,  279583.78,    9311.00,             9262.39,   122.13,  59482.74,           57517.14,     46.03,   -123.60,          97.31,  +0.12,  -2.11
  5,     UK002N,       0,  0.201144, 2459439.535141735803,  48.49586,   8.52717,               96.47267,  16.08052,        96.48082,       16.07892,     48.49586,      +8.52717,      48.49156,       +8.52101,  3764909.22, -1571583.29,  4993235.92,      50.935251,       +3.007190,   82676.26,  278345.03,   11130.54,            11081.92,  -342.48,  45257.49,           55941.91,     13.56,    -36.37,          28.77,  +1.76,  -0.46
  0,     UK0032,       0,  0.018561, 2459439.535139687825,  17.62995, -12.40654,              136.11788,  14.84675,       136.09923,       14.84323,     17.62995,     -12.40654,      17.64827,      -12.40201,  3773310.41, -1570888.21,  4999015.81,      50.916016,       +3.062288,   91882.75,  328271.27,       0.00,              860.85,  -190.31,      0.00,           57294.48,    -95.01,     45.17,          66.10,  +1.44,  -1.14
  1,     UK0032,       0,  0.058793, 2459439.535140153486,  17.72787, -12.75260,              136.18142,  14.49303,       136.17184,       14.49122,     17.72787,     -12.75260,      17.73754,      -12.75027,  3771062.46, -1571074.19,  4997469.26,      50.921160,       +3.047594,   89419.07,  326455.03,    2734.90,             3595.75,   258.85,  67978.21,           57294.48,    -48.65,     23.13,          34.03,  +1.06,  -1.51
  2,     UK0032,       0,  0.098961, 2459439.535140618682,  17.80328, -12.99435,              136.21949,  14.24306,       136.22326,       14.24377,     17.80328,     -12.99435,      17.80002,      -12.99526,  3769496.29, -1571203.77,  4996391.76,      50.924745,       +3.037298,   87702.69,  325194.98,    4640.34,             5501.19,  -117.81,  47436.79,           57294.48,     19.06,     -9.07,          13.39,  +0.95,  -1.61
  3,     UK0032,       0,  0.139165, 2459439.535141083878,  17.88523, -13.30520,              136.28213,  13.92793,       136.28804,       13.92904,     17.88523,     -13.30520,      17.88002,      -13.30664,  3767522.43, -1571367.08,  4995033.77,      50.929265,       +3.024355,   85539.68,  323617.97,    7041.78,             7902.64,    -0.51,  59731.45,           57294.48,     29.80,    -14.18,          21.03,  +1.33,  -1.22
  4,     UK0032,       0,  0.179385, 2459439.535141549539,  18.00018, -13.59477,              136.30561,  13.61836,       136.35018,       13.62674,     18.00018,     -13.59477,      17.95698,      -13.60573,  3765644.34, -1571522.47,  4993741.68,      50.933567,       +3.012022,   83481.76,  322126.62,    9326.70,            10187.55,    -0.65,  56810.37,           57112.81,    223.92,   -106.71,         158.83,  +0.49,  -2.05

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.