Orbital Analysis for matched events on 20210929_003311.841_UK

Summary for Event
-----------------
shower ID 480 TCA
Lg 112.39° Bg 9.19° Vg 66.49km/s
mass 0.00210g, abs. mag 2.0
Path Details
------------
start -1.14° 52.80° 113.28km
end   -1.40° 52.72° 106.53km

Orbit Details
-------------
Semimajor axis 3.96A.U., eccentricity 0.81, inclination 162.25°, Period 7.89Y, LA Sun 185.80°, last Perihelion 2021-08-21

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: 2459486.523053721525
Time: 2021-09-29 00:33:11.841540 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003U and UK003X
 Convergence angle = 70.34677 deg
 R.A. = 115.82634  Dec = +30.84382 deg

Best intersection: Stations UK003U and UK003X with Qconv = 70.35 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3796090.73 +/- 39.27 m
 Y =   1028680.56 +/- 69.12 m
 Z =   5147405.27 +/- 50.60 m
 Vx =   -25176.12 +/- 177.77 m/s
 Vy =    51994.89 +/- 134.73 m/s
 Vz =    34744.64 +/- 151.15 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.649659e+03, -1.400897e+03, -7.532278e+02, +4.179900e+03, +3.064011e+03, +3.210098e+03
-1.400897e+03, +5.124029e+03, +3.687921e+03, +4.318377e+03, +3.790765e+03, +4.041681e+03
-7.532278e+02, +3.687921e+03, +2.747868e+03, +4.437045e+03, +3.643493e+03, +4.128108e+03
+4.179900e+03, +4.318377e+03, +4.437045e+03, +3.351897e+04, +2.466568e+04, +2.780213e+04
+3.064011e+03, +3.790765e+03, +3.643493e+03, +2.466568e+04, +1.881292e+04, +2.035936e+04
+3.210098e+03, +4.041681e+03, +4.128108e+03, +2.780213e+04, +2.035936e+04, +2.377335e+04

Timing offsets (from input data):
    UK003U: -0.000023 s
    UK003X: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 00:33:11.841540 UTC
  Lon     = +-1.135148 +/- 0.0011 deg
  Lat     = +52.799742 +/- 0.0003 deg
  Lat geo = +52.617485 +/- 0.0003 deg
  Ht      =  113324.18 +/- 47.34 m

  JD dynamic   = 2459486.523854462430 
  LST apparent = 15.1621203886 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 115.83644 +/- 0.2151 deg
  Dec       = +31.02424 +/- 0.0933 deg
  Azimuth   =  62.51795 +/- 0.0945 deg
  Elevation = +18.33440 +/- 0.1866 deg
  Vavg      =  67.51951 +/- 0.1075 km/s
  Vinit     =  67.41288 +/- 0.1103 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 115.78401 +/- 0.2151 deg
  Dec       = +30.90121 +/- 0.0933 deg
  Azimuth   =  62.63598 +/- 0.0945 deg
  Elevation = +18.26658 +/- 0.1866 deg
  Vavg      =  67.76121 +/- 0.1075 km/s
  Vinit     =  67.65457 +/- 0.1103 km/s
Radiant (geocentric, J2000):
  R.A.   = 115.90856 +/- 0.2171 deg
  Dec    = +30.63428 +/- 0.0964 deg
  Vg     =  66.49388 +/- 0.1118 km/s
  Vinf   =  67.41288 +/- 0.1103 km/s
  Zc     =  71.74978 +/- 0.1869 deg
  Zg     =  72.31854 +/- 0.1907 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 112.38587 +/- 0.2034 deg
  Bg     =  +9.18786 +/- 0.0632 deg
  Vh     =  39.33385 +/- 0.0684 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 124.61783 +/- 0.3765 deg
  Bh     = +15.66329 +/- 0.1087 deg
  Vh_x   =  21.51575 +/- 0.1761 km/s
  Vh_y   = -31.16810 +/- 0.1815 km/s
  Vh_z   = -10.61949 +/- 0.0886 km/s
Orbit:
  La Sun = 185.798781 +/- 0.0000 deg
  a      =   3.963507 +/- 0.0856 AU
  e      =   0.808387 +/- 0.0028
  i      = 162.253218 +/- 0.0689 deg
  peri   = 117.303700 +/- 1.0215 deg
  node   = 185.796406 +/- 0.0000 deg
  Pi     = 303.100106 +/- 1.0215 deg
  q      =   0.759459 +/- 0.0067 AU
  f      =  62.692773 +/- 1.0215 deg
  M      =   4.757423 +/- 0.2305 deg
  Q      =   7.167555 +/- 0.1645 AU
  n      =   0.124906 +/- 0.0046 deg/day
  T      =   7.890783 +/- 0.2491 years
  Last perihelion JD = 2459448.435942 (2021-08-21 22:27:45.431549) +/- 0.3815 days
  Tj     =   0.334518 +/- 0.0362
Shower association:
  IAU No.  =  480
  IAU code =  TCA

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +8.257929e-06, +1.885028e-05, +1.091122e-03, +5.369539e-10, +5.034219e-05, -2.620163e-06
q   , +1.885028e-05, +4.850022e-05, +2.742933e-03, +1.353727e-09, +1.284484e-04, -6.605423e-06
Tp  , +1.091122e-03, +2.742933e-03, +1.558436e-01, +7.749527e-08, +7.276028e-03, -3.781588e-04
node, +5.369539e-10, +1.353727e-09, +7.749527e-08, +6.518460e-14, +3.595342e-09, -3.181281e-10
peri, +5.034219e-05, +1.284484e-04, +7.276028e-03, +3.595342e-09, +3.403754e-04, -1.754347e-05
i   , -2.620163e-06, -6.605423e-06, -3.781588e-04, -3.181281e-10, -1.754347e-05, +1.552623e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 6.586998
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK003X
  Avg. res. = 6.771e-06 s
  Stddev    = 2.60e-03 s

Begin point on the trajectory:
  Lon =    -1.136877 +/- 0.0002 deg
  Lat =    52.799197 +/- 0.0001 deg
  Ht  = 113279.85 +/- 37.36 m
End point on the trajectory:
  Lon =    -1.402271 +/- 0.0002 deg
  Lat =    52.715488 +/- 0.0001 deg
  Ht  = 106534.67 +/- 47.09 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
    UK003U,   False,    -1.740490,    53.069201,  240.00,   8.497670,   0.000000,   112567.74,   106648.84,          0.002627,      4.83,      2.55,              63.15, 1.0000,    True,    True, {"ff_name": "FF_UK003U_20210929_003311_667_0548864.fits"}
    UK003X,   False,    -2.362458,    51.684814,  132.00,  28.933343,   0.000000,   113279.85,   106534.67,          0.015429,     35.92,     33.06,              31.34, 1.0000,    True,    True, {"ff_name": "FF_UK003X_20210929_003311_103_0548864.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,     UK003U,       0,  0.033073, 2459486.523054104298,  37.69608,  35.12689,              128.47929,  65.75994,       128.47827,       65.76159,     37.69608,     +35.12689,      37.69547,      +35.12849,  3796989.21,  1026824.98,  5146165.31,      52.790432,       -1.164798,  112567.74,  122970.66,       0.00,             2405.82,     1.09,      0.00,           67871.66,     -1.71,     -3.24,           6.14,  +1.73,  +1.28
  1,     UK003U,       0,  0.073169, 2459486.523054568563,  36.38695,  34.71115,              131.22462,  66.02009,       131.22332,       66.02263,     36.38695,     +34.71115,      36.38609,      +34.71356,  3798003.37,  1024730.49,  5144765.71,      52.779913,       -1.198270,  111714.85,  121795.13,    2715.57,             5121.38,    13.67,  67726.59,           67871.66,     -2.58,     -4.88,           9.34,  +1.60,  +1.17
  2,     UK003U,       0,  0.113253, 2459486.523055032361,  35.19764,  34.31721,              133.78888,  66.21472,       133.78727,       66.21866,     35.19764,     +34.31721,      35.19627,      +34.32091,  3798916.96,  1022843.72,  5143504.91,      52.770426,       -1.228433,  110947.41,  120778.69,    5161.82,             7567.64,  -242.26,  61028.15,           67871.66,     -3.94,     -7.46,          14.40,  +1.68,  +1.27
  3,     UK003U,       0,  0.153357, 2459486.523055496626,  33.67976,  33.80032,              137.13856,  66.40935,       137.13924,       66.40688,     33.67976,     +33.80032,      33.68157,      +33.79803,  3800072.24,  1020457.77,  5141910.54,      52.758416,       -1.266523,  109978.12,  119554.01,    8255.28,            10661.09,   147.68,  77135.91,           67871.66,      2.42,      4.59,           8.95,  +1.57,  +1.18
  4,     UK003U,       0,  0.193449, 2459486.523055960424,  32.40961,  33.34157,              140.01556,  66.51110,       140.01575,       66.50995,     32.40961,     +33.34157,      32.41097,      +33.34052,  3801034.00,  1018471.51,  5140583.26,      52.748405,       -1.298252,  109172.19,  118586.27,   10830.51,            13236.33,    20.20,  64233.22,           67842.56,      1.11,      2.11,           4.15,  +1.54,  +1.17
  5,     UK003U,       0,  0.233549, 2459486.523056424689,  31.07936,  32.84344,              143.07903,  66.56229,       143.07908,       66.56100,     31.07936,     +32.84344,      31.08098,      +32.84228,  3802035.61,  1016402.93,  5139200.96,      52.737968,       -1.331283,  108333.83,  117630.44,   13512.49,            15918.31,    -1.08,  66882.28,           67697.04,      1.23,      2.34,           4.63,  +1.64,  +1.29
  6,     UK003U,       0,  0.273645, 2459486.523056888953,  29.73061,  32.32128,              146.22327,  66.55547,       146.22289,       66.55113,     29.73061,     +32.32128,      29.73395,      +32.31735,  3803045.71,  1014316.82,  5137806.96,      52.727431,       -1.364585,  107489.37,  116721.47,   16217.18,            18623.00,     0.62,  67455.38,           67619.18,      4.13,      7.82,          15.63,  +1.92,  +1.58
  7,     UK003U,       0,  0.313753, 2459486.523057353217,  28.38528,  31.77305,              149.39293,  66.47847,       149.39266,       66.47723,     28.38528,     +31.77305,      28.38723,      +31.77194,  3804052.29,  1012237.99,  5136417.82,      52.716918,       -1.397765,  106648.84,  115871.80,   18912.45,            21318.27,    -7.90,  67200.30,           67551.82,      1.17,      2.22,           4.47,  +2.40,  +2.08
  0,     UK003X,       0,  0.000000, 2459486.523053721525, 123.93158,  61.67284,               33.52423,  36.16087,        33.54022,       36.18295,    123.93158,     +61.67284,     123.87916,      +61.67880,  3796143.36,  1028571.87,  5147332.64,      52.799197,       -1.136877,  113279.85,  188632.33,       0.00,              140.93,   -34.24,      0.00,           68056.32,    -57.07,     61.91,          92.07,  +3.69,  +2.31
  1,     UK003X,       1,  0.039892, 2459486.523054183461, 124.28214,  62.04403,               33.05032,  36.29862,        33.11127,       36.38393,    124.28214,     +62.04403,     124.07837,      +62.06759,  3797077.20,  1026643.27,  5146043.88,      52.789520,       -1.167716,  112493.70,  186490.66,    2500.49,             2641.42,  -222.99,  62681.49,           68056.32,   -217.70,    235.05,         354.34,  +4.31,  +2.96
  2,     UK003X,       0,  0.079596, 2459486.523054642603, 124.28656,  62.55212,               32.59179,  36.64821,        32.57876,       36.62996,    124.28656,     +62.55212,     124.33120,      +62.54712,  3798202.68,  1024318.87,  5144490.65,      52.777844,       -1.204841,  111547.36,  183922.91,    5514.13,             5655.05,   114.09,  75902.67,           68056.32,     45.67,    -49.71,          75.71,  +2.70,  +1.38
  3,     UK003X,       0,  0.119436, 2459486.523055104073, 124.54776,  62.95777,               32.12207,  36.84102,        32.12032,       36.83855,    124.54776,     +62.95777,     124.55430,      +62.95708,  3799140.32,  1022382.41,  5143196.64,      52.768105,       -1.235791,  110759.90,  181793.55,    8024.82,             8165.74,   -60.95,  63019.22,           68056.32,      6.09,     -6.62,          10.20,  +2.73,  +1.43
  4,     UK003X,       0,  0.159272, 2459486.523055565078, 124.82330,  63.37629,               31.63512,  37.03889,        31.64435,       37.05207,    124.82330,     +63.37629,     124.79131,      +63.38001,  3800086.10,  1020429.15,  5141891.42,      52.758272,       -1.267002,  109966.49,  179656.01,   10557.27,            10698.19,  -213.96,  63571.91,           66915.71,    -32.07,     34.82,          54.35,  +2.42,  +1.15
  5,     UK003X,       0,  0.199056, 2459486.523056025617, 125.07770,  63.86585,               31.09144,  37.29333,        31.09301,       37.29559,    125.07770,     +63.86585,     125.07285,      +63.86650,  3801148.85,  1018234.31,  5140424.76,      52.747209,       -1.302045,  109076.01,  177267.43,   13402.94,            13543.86,   -50.25,  71528.04,           67248.50,     -5.41,      5.88,           9.30,  +2.53,  +1.29
  6,     UK003X,       0,  0.238844, 2459486.523056485690, 125.34831,  64.35779,               30.53880,  37.54495,        30.53418,       37.53822,    125.34831,     +64.35779,     125.36642,      +64.35584,  3802190.86,  1016082.30,  5138986.71,      52.736350,       -1.336398,  108203.98,  174938.95,   16193.08,            16334.01,    57.67,  70125.24,           67675.42,     15.83,    -17.21,          27.57,  +3.07,  +1.86
  7,     UK003X,       0,  0.278644, 2459486.523056946695, 125.67388,  64.84683,               29.96801,  37.77838,        29.96874,       37.77945,    125.67388,     +64.84683,     125.67228,      +64.84714,  3803211.05,  1013975.35,  5137578.78,      52.725705,       -1.370029,  107351.23,  172672.66,   18924.81,            19065.73,   106.37,  68636.40,           67933.41,     -2.48,      2.69,           4.37,  +3.07,  +1.88
  8,     UK003X,       0,  0.318420, 2459486.523057406768, 125.93106,  65.33579,               29.42216,  38.03397,        29.40882,       38.01410,    125.93106,     +65.33579,     125.98435,      +65.32988,  3804189.12,  1011955.41,  5136228.99,      52.715488,       -1.402271,  106534.67,  170512.88,   21543.72,            21684.64,    43.86,  65841.43,           67914.46,     45.26,    -49.25,          80.92,  +4.87,  +3.71

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.