Orbital Analysis for matched events on 20211015_042244.313_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 67.30° Bg -9.96° Vg 51.03km/s
mass 0.02681g, abs. mag -0.4
best visual mag -0.2
Path Details
------------
start -1.91° 54.99° 94.03km
end   -1.86° 55.05° 87.04km

Orbit Details
-------------
Semimajor axis 2.27A.U., eccentricity 0.97, inclination 124.29°, Period 3.41Y, LA Sun 201.74°, last Perihelion 2018-06-18

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: 2459502.682457334828
Time: 2021-10-15 04:22:44.313729 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002X and UK004B
 Convergence angle = 86.11940 deg
 R.A. =  67.92622  Dec = +12.19405 deg

Best intersection: Stations UK002X and UK004B with Qconv = 86.12 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    149411.14 +/- 12.75 m
 Y =   3718056.41 +/- 17.36 m
 Z =   5278061.92 +/- 12.04 m
 Vx =    19428.08 +/- 290.08 m/s
 Vy =    47184.23 +/- 463.12 m/s
 Vz =    11100.40 +/- 194.95 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.800148e+02, +7.950127e+00, +3.674170e+01, +3.453555e+02, -2.220955e+03, -4.672525e+02
+7.950127e+00, +3.197633e+02, +4.464312e+01, -2.189792e+03, -1.439580e+03, -9.787244e+02
+3.674170e+01, +4.464312e+01, +1.508468e+02, -4.268030e+02, -8.708067e+02, +7.112569e+02
+3.453555e+02, -2.189792e+03, -4.268030e+02, +5.111908e+04, +7.341080e+04, +2.356988e+04
-2.220955e+03, -1.439580e+03, -8.708067e+02, +7.341080e+04, +1.831746e+05, +4.795054e+04
-4.672525e+02, -9.787244e+02, +7.112569e+02, +2.356988e+04, +4.795054e+04, +2.404887e+04

Timing offsets (from input data):
    UK000P: 0.000000 s
    UK002X: 0.000000 s
    UK004B: -0.000160 s

Reference point on the trajectory:
  Time: 2021-10-15 04:22:44.313729 UTC
  Lon     = +-1.911165 +/- 0.0002 deg
  Lat     = +54.994395 +/- 0.0001 deg
  Lat geo = +54.815992 +/- 0.0001 deg
  Ht      =   93999.66 +/- 15.40 m

  JD dynamic   = 2459502.683258075733 
  LST apparent = 87.6987912263 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  67.62061 +/- 0.1509 deg
  Dec       = +12.27279 +/- 0.1118 deg
  Azimuth   = 208.04177 +/- 0.2100 deg
  Elevation = +44.47449 +/- 0.1083 deg
  Vavg      =  49.72834 +/- 0.0182 km/s
  Vinit     =  52.22089 +/- 0.4485 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  67.90729 +/- 0.1509 deg
  Dec       = +12.29440 +/- 0.1118 deg
  Azimuth   = 207.67226 +/- 0.2100 deg
  Elevation = +44.57212 +/- 0.1083 deg
  Vavg      =  49.63794 +/- 0.0182 km/s
  Vinit     =  52.13049 +/- 0.4485 km/s
Radiant (geocentric, J2000):
  R.A.   =  67.16077 +/- 0.1519 deg
  Dec    = +11.69316 +/- 0.1154 deg
  Vg     =  51.02527 +/- 0.4592 km/s
  Vinf   =  52.22089 +/- 0.4485 km/s
  Zc     =  45.36811 +/- 0.1083 deg
  Zg     =  45.92277 +/- 0.1116 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  67.29969 +/- 0.1473 deg
  Bg     =  -9.96292 +/- 0.1200 deg
  Vh     =  37.25573 +/- 0.3792 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  31.31795 +/- 0.4588 deg
  Bh     = -13.70537 +/- 0.1763 deg
  Vh_x   = -30.92120 +/- 0.2167 km/s
  Vh_y   = -18.81366 +/- 0.4225 km/s
  Vh_z   =   8.82697 +/- 0.1133 km/s
Orbit:
  La Sun = 201.742559 +/- 0.0000 deg
  a      =   2.267489 +/- 0.1385 AU
  e      =   0.971374 +/- 0.0011
  i      = 124.292044 +/- 1.4202 deg
  peri   = 153.814685 +/- 0.8281 deg
  node   =  21.744654 +/- 0.0000 deg
  Pi     = 175.559339 +/- 0.8281 deg
  q      =   0.064909 +/- 0.0028 AU
  f      = 206.185590 +/- 0.8281 deg
  M      = 350.687750 +/- 1.0739 deg
  Q      =   4.470068 +/- 0.2747 AU
  n      =   0.288660 +/- 0.0322 deg/day
  T      =   3.414431 +/- 0.3016 years
  Last perihelion JD = 2458287.800975 (2018-06-18 07:13:24.237306) +/- 110.2486 days
  Tj     =   2.118477 +/- 0.1726
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.316730e-06, +9.743938e-07, -1.002006e-01, +5.007234e-09, -4.385022e-04, +8.889896e-04
q   , +9.743938e-07, +9.061555e-06, -3.021019e-01, +2.173998e-08, -2.619878e-03, +3.879213e-03
Tp  , -1.002006e-01, -3.021019e-01, +1.387851e+04, -8.698008e-04, +9.608700e+01, -1.549309e+02
node, +5.007234e-09, +2.173998e-08, -8.698008e-04, +7.127631e-11, -6.629962e-06, +1.270088e-05
peri, -4.385022e-04, -2.619878e-03, +9.608700e+01, -6.629962e-06, +7.778491e-01, -1.182553e+00
i   , +8.889896e-04, +3.879213e-03, -1.549309e+02, +1.270088e-05, -1.182553e+00, +2.263635e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.093626
 a2 = 42.768463

Mean time residuals from time vs. length:
  Station with reference time: UK002X
  Avg. res. = 3.944e-06 s
  Stddev    = 1.99e-03 s

Begin point on the trajectory:
  Lon =    -1.911390 +/- 0.0002 deg
  Lat =    54.994152 +/- 0.0001 deg
  Ht  = 94030.14 +/- 10.25 m
End point on the trajectory:
  Lon =    -1.860545 +/- 0.0002 deg
  Lat =    55.049851 +/- 0.0001 deg
  Ht  = 87040.79 +/- 9.66 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
    UK000P,    True,    -3.059440,    54.994170,   18.00,  35.914430,   0.000000,    93803.69,    87695.20,          0.049092,       nan,       nan,              69.24, 0.0000,    True,    True, {"ff_name": "FF_UK000P_20211015_042240_675_0946432.fits"}
    UK002X,   False,    -3.059440,    54.994170,   18.00,   0.000000,   0.000000,    94030.14,    87040.79,          0.007886,      8.93,     13.54,              69.24, 1.0000,    True,    True, {"ff_name": "FF_UK002X_20211015_042238_290_0560640.fits"}
    UK004B,   False,    -0.382770,    53.537630,   36.00,   1.385752,  29.391886,    93442.31,    87793.42,          0.003768,     13.11,      5.03,              90.13, 1.0000,    True,    True, {"ff_name": "FF_UK004B_20211015_042239_780_0959744.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,     UK000P,       1,  0.009513, 2459502.682457444724, 141.23795,  40.00975,               89.43424,  51.31475,        89.37444,       51.34881,    141.23795,     +40.00975,     141.23697,      +40.06030,   149307.07,  3717803.66,  5278002.46,      54.995955,       -1.909760,   93803.69,  119536.68,       0.00,              279.73,  -151.33,      0.00,           54716.98,    -88.02,    -58.12,         182.00,  +0.99,  +0.60
  1,     UK000P,       1,  0.050277, 2459502.682457916904, 142.46448,  40.02944,               88.42240,  50.62431,        88.37295,       50.65214,    142.46448,     +40.02944,     142.46460,      +40.07136,   148531.47,  3715920.01,  5277559.32,      55.007580,       -1.899155,   92343.39,  118820.86,    2084.72,             2364.46,  -195.34,  51141.31,           54716.98,    -72.55,    -47.90,         150.91,  +0.52,  +0.15
  2,     UK000P,       1,  0.091153, 2459502.682458390016, 143.85177,  40.01227,               87.34147,  49.81765,        87.27609,       49.85398,    143.85177,     +40.01227,     143.85317,      +40.06792,   147665.42,  3713816.67,  5277064.50,      55.020566,       -1.887281,   90713.17,  118060.58,    4412.59,             4692.32,    -2.06,  56949.37,           54716.98,    -95.71,    -63.20,         200.38,  +0.31,  -0.05
  3,     UK000P,       1,  0.132013, 2459502.682458862662, 145.21487,  39.99979,               86.29002,  49.02863,        86.23303,       49.05991,    145.21487,     +39.99979,     145.21728,      +40.04848,   146824.72,  3711774.89,  5276584.15,      55.033177,       -1.875746,   89131.06,  117361.66,    6672.31,             6952.04,   123.92,  55304.13,           54716.98,    -83.28,    -54.98,         175.39,  +0.33,  -0.02
  4,     UK000P,       1,  0.172801, 2459502.682459334843, 146.46467,  39.96929,               85.36010,  48.29329,        85.30469,       48.32341,    146.46467,     +39.96929,     146.46808,      +40.01684,   146061.56,  3709921.42,  5276148.11,      55.044630,       -1.865279,   87695.20,  116760.68,    8723.62,             9003.35,    45.25,  50292.00,           53966.17,    -80.95,    -53.43,         171.34,  +0.62,  +0.28
  0,     UK002X,       0,  0.000000, 2459502.682457334828, 141.04841,  40.05290,               89.53646,  51.45206,        89.53134,       51.45498,    141.04841,     +40.05290,     141.04831,      +40.05723,   149427.33,  3718095.73,  5278071.17,      54.994152,       -1.911390,   94030.14,  119651.06,       0.00,               43.51,   109.22,      0.00,           52733.75,     -7.55,     -4.98,          15.59,  +2.16,  +1.77
  1,     UK002X,       0,  0.040232, 2459502.682457800489, 142.20063,  40.06408,               88.59271,  50.79857,        88.58575,       50.80250,    142.20063,     +40.06408,     142.20076,      +40.06998,   148697.44,  3716323.09,  5277654.15,      55.005092,       -1.901420,   92655.85,  118971.56,    1961.86,             1918.34,  -116.90,  48763.58,           52733.75,    -10.23,     -6.75,          21.25,  +0.49,  +0.11
  2,     UK002X,       0,  0.080484, 2459502.682458266150, 143.49573,  40.08162,               87.54159,  50.06767,        87.55482,       50.06031,    143.49573,     +40.08162,     143.49592,      +40.07038,   147887.21,  3714355.30,  5277191.21,      55.017240,       -1.890322,   91130.61,  118251.43,    4139.70,             4096.19,   -41.05,  54105.24,           52733.75,     19.37,     12.77,          40.47,  +0.07,  -0.29
  3,     UK002X,       0,  0.120776, 2459502.682458732743, 144.82554,  40.04806,               86.53757,  49.28359,        86.52859,       49.28854,    144.82554,     +40.04806,     144.82629,      +40.05572,   147064.70,  3712357.72,  5276721.27,      55.029577,       -1.879042,   89582.64,  117557.10,    6350.51,             6307.00,    65.67,  54869.72,           52733.75,    -13.13,     -8.66,          27.59,  -0.19,  -0.54
  4,     UK002X,       0,  0.161028, 2459502.682459198404, 146.06431,  40.04017,               85.58786,  48.56940,        85.60133,       48.56206,    146.06431,     +40.04017,     146.06440,      +40.02862,   146307.02,  3710517.56,  5276288.36,      55.040946,       -1.868652,   88156.98,  116950.16,    8387.10,             8343.59,     0.27,  50595.97,           52565.67,     19.69,     12.98,          41.59,  +0.14,  -0.20
  5,     UK002X,       0,  0.201248, 2459502.682459664065, 147.04038,  39.99952,               84.88609,  47.98436,        84.88723,       47.98374,    147.04038,     +39.99952,     147.04116,      +39.99854,   145713.69,  3709076.57,  5275949.36,      55.049851,       -1.860545,   87040.79,  116495.88,    9981.90,             9938.39,  -505.26,  39651.93,           50674.75,      1.67,      1.10,           3.55,  +2.50,  +2.17
  0,     UK004B,       0,  0.013646, 2459502.682457494549, 320.35944,  53.45499,              329.20776,  25.09106,       329.20806,       25.09128,    320.35944,     +53.45499,     320.35929,      +53.45530,   149115.15,  3717337.55,  5277892.81,      54.998831,       -1.907112,   93442.31,  213468.35,       0.00,              795.60,   148.67,      0.00,           50325.71,      0.46,      1.18,           1.23,  +2.90,  +1.25
  1,     UK004B,       0,  0.054090, 2459502.682457962539, 319.54464,  53.25467,              329.55782,  24.67180,       329.56390,       24.67613,    319.54464,     +53.25467,     319.54052,      +53.26120,   148384.80,  3715563.78,  5277475.52,      55.009779,       -1.897132,   92067.27,  213486.20,    1963.11,             2758.71,    -0.24,  48538.91,           50325.71,      9.38,     24.42,          25.27,  +1.75,  +0.10
  2,     UK004B,       0,  0.094566, 2459502.682458430994, 318.66527,  53.04525,              329.94495,  24.22707,       329.94537,       24.22737,    318.66527,     +53.04525,     318.66536,      +53.04570,   147596.66,  3713649.67,  5277025.21,      55.021597,       -1.886339,   90583.76,  213525.23,    4081.54,             4877.14,     4.50,  52337.98,           50325.71,      0.64,      1.68,           1.74,  +0.86,  -0.79
  3,     UK004B,       0,  0.135014, 2459502.682458899450, 317.84858,  52.83500,              330.30120,  23.80216,       330.30259,       23.80316,    317.84858,     +52.83500,     317.84810,      +52.83649,   146852.88,  3711843.27,  5276600.24,      55.032755,       -1.876151,   89184.04,  213581.54,    6080.77,             6876.36,  -108.51,  49427.10,           50325.71,      2.16,      5.63,           5.83,  +0.90,  -0.75
  4,     UK004B,       0,  0.175458, 2459502.682459367439, 317.04648,  52.61925,              330.65130,  23.37842,       330.65504,       23.38106,    317.04648,     +52.61925,     317.04435,      +52.62322,   146113.77,  3710048.24,  5276177.95,      55.043846,       -1.866019,   87793.42,  213655.95,    8067.41,             8863.01,  -233.89,  49120.81,           50062.06,      5.78,     15.07,          15.58,  +2.97,  +1.32

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.