Orbital Analysis for matched events on 20211103_223101.275_UK

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Summary for Event
-----------------
shower ID 630 TAR
Lg 55.86° Bg 1.66° Vg 29.52km/s
mass 0.01285g, abs. mag 2.0
best visual mag 1.7
Path Details
------------
start -4.30° 50.05° 97.17km
end   -4.38° 50.08° 88.86km

Orbit Details
-------------
Semimajor axis 2.05A.U., eccentricity 0.85, inclination 2.15°, Period 2.94Y, LA Sun 221.43°, last Perihelion 2019-01-04

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: 2459522.438209209125
Time: 2021-11-03 22:31:01.275668 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0021 and UK003K
 Convergence angle = 10.02618 deg
 R.A. =  52.53818  Dec = +21.65712 deg

Best intersection: Stations UK0021 and UK003K with Qconv = 10.03 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3987394.53 +/- 418.02 m
 Y =   1208318.18 +/- 106.15 m
 Z =   4940672.84 +/- 174.18 m
 Vx =    17774.27 +/- 2036.40 m/s
 Vy =    23221.18 +/- 2298.16 m/s
 Vz =    11815.31 +/- 910.57 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.195503e+05, +7.091571e+03, +4.071560e+04, +3.405662e+05, +6.190647e+03, +1.035375e+05
+7.091571e+03, +5.542441e+03, +4.184809e+03, -2.947519e+03, -1.165813e+04, -1.522248e+03
+4.071560e+04, +4.184809e+03, +1.492793e+04, +1.154520e+05, +1.522037e+03, +3.824091e+04
+3.405662e+05, -2.947519e+03, +1.154520e+05, +2.172508e+06, +3.099174e+05, +8.242662e+05
+6.190647e+03, -1.165813e+04, +1.522037e+03, +3.099174e+05, +1.216458e+05, +1.472674e+05
+1.035375e+05, -1.522248e+03, +3.824091e+04, +8.242662e+05, +1.472674e+05, +3.388351e+05

Timing offsets (from input data):
    UK0021: 0.000000 s
    UK003K: 0.008782 s

Reference point on the trajectory:
  Time: 2021-11-03 22:31:01.275668 UTC
  Lon     = +-4.294056 +/- 0.0012 deg
  Lat     = +50.045865 +/- 0.0019 deg
  Lat geo = +49.859162 +/- 0.0019 deg
  Ht      =   97273.71 +/- 403.15 m

  JD dynamic   = 2459522.439009950031 
  LST apparent = 16.8586199202 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  52.56834 +/- 2.5248 deg
  Dec       = +22.00068 +/- 0.3662 deg
  Azimuth   = 121.87605 +/- 2.9013 deg
  Elevation = +50.41055 +/- 1.5560 deg
  Vavg      =  31.48498 +/- 1.7604 km/s
  Vinit     =  31.53965 +/- 1.9319 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  53.04878 +/- 2.5248 deg
  Dec       = +21.87993 +/- 0.3662 deg
  Azimuth   = 121.42449 +/- 2.9013 deg
  Elevation = +50.05036 +/- 1.5560 deg
  Vavg      =  31.65043 +/- 1.7604 km/s
  Vinit     =  31.70510 +/- 1.9319 km/s
Radiant (geocentric, J2000):
  R.A.   =  53.11315 +/- 2.6556 deg
  Dec    = +20.82870 +/- 0.4783 deg
  Vg     =  29.51954 +/- 2.0437 km/s
  Vinf   =  31.53965 +/- 1.9319 km/s
  Zc     =  39.49112 +/- 1.5635 deg
  Zg     =  40.85190 +/- 1.7451 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  55.85811 +/- 2.2997 deg
  Bg     =  +1.65595 +/- 1.0491 deg
  Vh     =  36.83637 +/- 2.3055 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =   3.40391 +/- 1.0085 deg
  Bh     =  +1.32690 +/- 0.8583 deg
  Vh_x   = -36.76152 +/- 2.2208 km/s
  Vh_y   =  -2.18656 +/- 0.8764 km/s
  Vh_z   =  -0.85301 +/- 0.6773 km/s
Orbit:
  La Sun = 221.426254 +/- 0.0000 deg
  a      =   2.054518 +/- 23.7623 AU
  e      =   0.849608 +/- 0.0647
  i      =   2.154193 +/- 1.5064 deg
  peri   = 299.938724 +/- 4.9761 deg
  node   = 221.412789 +/- 0.0557 deg
  Pi     = 161.351513 +/- 4.9476 deg
  q      =   0.308984 +/- 0.0148 AU
  f      = 240.074617 +/- 4.9476 deg
  M      = 346.119315 +/- nan deg
  Q      =   3.800053 +/- 47.5266 AU
  n      =   0.334687 +/- 0.1254 deg/day
  T      =   2.944867 +/- nan years
  Last perihelion JD = 2458488.281209 (2019-01-04 18:44:56.424361) +/- 67170.7542 days
  Tj     =   3.195377 +/- 1.0547
Shower association:
  IAU No.  =  630
  IAU code =  TAR

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.450189e-03, +4.024505e-04, -4.900922e+02, +1.417643e-03, -1.383940e-01, +3.952452e-02
q   , +4.024505e-04, +1.722210e-04, -8.207565e+01, +4.704744e-04, -4.739284e-02, +1.161037e-02
Tp  , -4.900922e+02, -8.207565e+01, +8.367783e+08, -1.207352e+02, +3.538330e+04, -1.172493e+04
node, +1.417643e-03, +4.704744e-04, -1.207352e+02, +5.309176e-03, -1.622564e-01, +4.769609e-02
peri, -1.383940e-01, -4.739284e-02, +3.538330e+04, -1.622564e-01, +1.462610e+01, -3.904524e+00
i   , +3.952452e-02, +1.161037e-02, -1.172493e+04, +4.769609e-02, -3.904524e+00, +1.171794e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.130252
 a2 = 19.582504

Mean time residuals from time vs. length:
  Station with reference time: UK0021
  Avg. res. = 7.842e-06 s
  Stddev    = 2.80e-03 s

Begin point on the trajectory:
  Lon =    -4.295010 +/- 0.0012 deg
  Lat =    50.046247 +/- 0.0018 deg
  Ht  = 97174.90 +/- 384.61 m
End point on the trajectory:
  Lon =    -4.376926 +/- 0.0001 deg
  Lat =    50.078437 +/- 0.0024 deg
  Ht  = 88857.55 +/- 509.87 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
    UK0021,   False,    -3.515726,    50.691998,   17.00,   0.061517,  23.164283,    97174.90,    89410.59,          0.022343,     51.03,      2.49,              56.00, 1.0000,    True,    True, {"ff_name": "FF_UK0021_20211103_223057_187_0464896.fits"}
    UK003K,   False,    -4.388944,    50.464439,  133.00,   0.078868,  20.475620,    96694.81,    88857.55,          0.024782,     45.46,      7.94,              27.07, 1.0000,    True,    True, {"ff_name": "FF_UK003K_20211103_223100_635_0460032.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,     UK0021,       0,  0.000000, 2459522.438209209125, 351.86924,  12.37363,              217.92938,  46.30681,       217.96216,       46.33205,    351.86924,     +12.37363,     351.85829,      +12.40581,  3987322.27,  1208223.77,  4940624.80,      50.046247,       -4.295010,   97174.90,  133411.11,       0.00,              128.23,     0.52,      0.00,           31847.03,      3.81,    -78.86,         122.07,  +4.21,  +3.58
  1,     UK0021,       0,  0.040236, 2459522.438209674787, 351.42086,  12.28119,              218.45538,  46.04650,       218.44023,       46.03490,    351.42086,     +12.28119,     351.42610,      +12.26634,  3986647.59,  1207342.34,  4940176.32,      50.049815,       -4.304090,   96252.35,  132793.43,    1197.19,             1325.41,   -71.32,  29754.18,           31847.03,     -1.78,     36.25,          56.37,  +2.91,  +2.29
  2,     UK0021,       0,  0.080548, 2459522.438210141379, 350.93160,  12.10593,              218.98119,  45.69242,       218.98099,       45.69227,    350.93160,     +12.10593,     350.93200,      +12.10574,  3985882.00,  1206342.13,  4939667.40,      50.053864,       -4.314376,   95205.58,  132101.59,    2555.70,             2683.92,    15.77,  33699.80,           31847.03,     -0.02,      0.47,           0.73,  +3.37,  +2.77
  3,     UK0021,       0,  0.120828, 2459522.438210607506, 350.46074,  11.96916,              219.50090,  45.37897,       219.48492,       45.36692,    350.46074,     +11.96916,     350.46663,      +11.95356,  3985167.76,  1205409.01,  4939192.61,      50.057642,       -4.323987,   94229.11,  131466.00,    3823.08,             3951.31,    12.73,  31464.40,           31847.03,     -1.85,     37.74,          59.28,  +2.91,  +2.32
  4,     UK0021,       0,  0.161108, 2459522.438211073633, 349.99059,  11.82729,              220.01202,  45.05935,       219.98429,       45.03858,    349.99059,     +11.82729,     350.00063,      +11.80025,  3984458.63,  1204482.57,  4938721.22,      50.061393,       -4.333536,   93259.70,  130844.19,    5081.41,             5209.63,     0.64,  31239.43,           31749.01,     -3.21,     65.12,         102.79,  +2.49,  +1.91
  5,     UK0021,       0,  0.201428, 2459522.438211540692, 349.47203,  11.65839,              220.56304,  44.69353,       220.53267,       44.67094,    349.47203,     +11.65839,     349.48318,      +11.62882,  3983677.32,  1203461.83,  4938201.85,      50.065527,       -4.344044,   92191.74,  130169.32,    6467.80,             6596.03,   115.36,  34384.79,           32097.93,     -3.50,     70.91,         112.50,  +3.05,  +2.48
  6,     UK0021,       0,  0.241716, 2459522.438212006819, 349.03502,  11.49212,              221.00885,  44.36197,       220.99763,       44.35367,    349.03502,     +11.49212,     349.03985,      +11.48120,  3983014.57,  1202595.98,  4937761.29,      50.069033,       -4.352987,   91285.90,  129606.66,    7643.83,             7772.05,    20.71,  29190.47,           31910.95,     -1.28,     26.08,          41.56,  +2.95,  +2.39
  7,     UK0021,       0,  0.281980, 2459522.438212472945, 348.60940,  11.34984,              221.45087,  44.05554,       221.43954,       44.04721,    348.60940,     +11.34984,     348.61445,      +11.33883,  3982383.63,  1201771.69,  4937341.88,      50.072372,       -4.361512,   90423.60,  129079.05,    8763.40,             8891.62,  -129.63,  27805.71,           31491.18,     -1.29,     26.21,          41.94,  +2.89,  +2.34
  8,     UK0021,       0,  0.322320, 2459522.438212939538, 348.11949,  11.14323,              221.92955,  43.66255,       221.95647,       43.68222,    348.11949,     +11.14323,     348.11159,      +11.16937,  3981642.35,  1200803.24,  4936849.12,      50.076295,       -4.371504,   89410.59,  128468.01,   10078.78,            10207.00,   -86.56,  32607.33,           31369.76,      3.00,    -61.98,          99.63,  +5.46,  +4.92
  0,     UK003K,       0,  0.023568, 2459522.438209381886,  20.56900,  24.35285,              172.15078,  63.72247,       172.14183,       63.78733,     20.56900,     +24.35285,      20.56659,      +24.41780,  3986971.18,  1207765.09,  4940391.42,      50.048104,       -4.299709,   96694.81,  107436.08,       0.00,              751.22,  -119.81,      0.00,           31805.96,     20.95,   -120.05,         233.96,  +3.24,  +3.08
  1,     UK003K,       0,  0.103780, 2459522.438210310414,  19.73227,  24.37716,              173.86427,  63.81153,       173.86312,       63.82581,     19.73227,     +24.37716,      19.73206,      +24.39143,  3985400.69,  1205713.32,  4939347.45,      50.056410,       -4.320800,   94547.55,  105017.09,    2786.77,             3537.99,   137.10,  34742.60,           31805.96,      4.53,    -25.78,          51.42,  +2.62,  +2.51
  2,     UK003K,       0,  0.143876, 2459522.438210774679,  19.40517,  24.36969,              174.53907,  63.82512,       174.53848,       63.83538,     19.40517,     +24.36969,      19.40527,      +24.37995,  3984807.77,  1204938.71,  4938953.31,      50.059546,       -4.328809,   93736.98,  104108.65,    3838.88,             4590.09,   -75.41,  26239.62,           31805.96,      3.23,    -18.38,          36.97,  +2.09,  +2.00
  3,     UK003K,       0,  0.183992, 2459522.438211238943,  18.99719,  24.36337,              175.38111,  63.84163,       175.38107,       63.84282,     18.99719,     +24.36337,      18.99787,      +24.36457,  3984079.72,  1203987.54,  4938469.34,      50.063398,       -4.338609,   92741.75,  102997.18,    5130.78,             5882.00,   -48.75,  32204.23,           31805.96,      0.37,     -2.11,           4.30,  +1.67,  +1.61
  4,     UK003K,       0,  0.224136, 2459522.438211703207,  18.52175,  24.34690,              176.36433,  63.84695,       176.36432,       63.84524,     18.52175,     +24.34690,      18.52274,      +24.34519,  3983247.94,  1202900.86,  4937916.42,      50.067799,       -4.349787,   91604.86,  101732.82,    6606.74,             7357.95,   161.08,  36766.50,           32393.16,     -0.53,      2.99,           6.16,  +1.91,  +1.87
  5,     UK003K,       0,  0.264248, 2459522.438212167472,  18.16171,  24.32673,              177.10974,  63.83985,       177.10983,       63.84273,     18.16171,     +24.32673,      18.16262,      +24.32961,  3982634.08,  1202098.89,  4937508.36,      50.071047,       -4.358084,   90765.88,  100803.43,    7696.00,             8447.21,   -14.78,  27155.51,           32007.96,      0.88,     -5.00,          10.38,  +2.12,  +2.10
  6,     UK003K,       0,  0.304352, 2459522.438212631736,  17.77075,  24.33089,              177.91731,  63.85480,       177.91614,       63.83567,     17.77075,     +24.33089,      17.77308,      +24.31178,  3981981.62,  1201246.48,  4937074.65,      50.074499,       -4.366896,   89874.22,   99819.30,    8853.76,             9604.97,  -121.89,  28868.86,           31564.39,     -5.80,     32.82,          68.88,  +2.04,  +2.04
  7,     UK003K,       0,  0.344508, 2459522.438213096466,  17.31931,  24.28857,              178.85212,  63.82059,       178.85223,       63.82178,     17.31931,     +24.28857,      17.32064,      +24.28976,  3981237.62,  1200274.48,  4936580.08,      50.078437,       -4.376926,   88857.55,   98701.89,   10173.95,            10925.17,   -68.19,  32876.72,           31454.71,      0.35,     -2.01,           4.27,  +3.02,  +3.05

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.