Orbital Analysis for matched events on 20211103_022815.405_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 117.15° Bg 9.42° Vg 65.00km/s
mass 0.01098g, abs. mag -0.2
best visual mag 1.7
Path Details
------------
start -5.09° 51.52° 108.75km
end   -5.20° 51.54° 99.27km

Orbit Details
-------------
Semimajor axis 2.25A.U., eccentricity 0.65, inclination 161.78°, Period 3.38Y, LA Sun 220.59°, last Perihelion 2018-07-28

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: 2459521.602956083138
Time: 2021-11-03 02:28:15.446339 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0006 and UK003H
 Convergence angle = 14.56201 deg
 R.A. = 123.21303  Dec = +28.75687 deg

Best intersection: Stations UK0006 and UK003H with Qconv = 14.56 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1075742.32 +/- 333.80 m
 Y =   3900788.63 +/- 47.75 m
 Z =   5056917.61 +/- 153.85 m
 Vx =   -29719.52 +/- 1288.49 m/s
 Vy =    48690.68 +/- 1395.00 m/s
 Vz =    33081.61 +/- 1683.09 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.154628e+05, +9.144206e+03, +5.176231e+04, +7.811860e+05, -6.133651e+04, +2.228401e+05
+9.144206e+03, +2.355022e+03, +3.797471e+03, +7.165713e+04, -1.371646e+03, +1.442023e+04
+5.176231e+04, +3.797471e+03, +2.457430e+04, +3.471960e+05, -2.817512e+04, +1.088606e+05
+7.811860e+05, +7.165713e+04, +3.471960e+05, +5.729669e+06, -5.119137e+05, +1.497709e+06
-6.133651e+04, -1.371646e+03, -2.817512e+04, -5.119137e+05, +1.958696e+05, -4.632218e+04
+2.228401e+05, +1.442023e+04, +1.088606e+05, +1.497709e+06, -4.632218e+04, +5.606769e+05

Timing offsets (from input data):
    UK0006: -0.000003 s
    UK003H: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 02:28:15.446339 UTC
  Lon     = +-5.056025 +/- 0.0045 deg
  Lat     = +51.518569 +/- 0.0004 deg
  Lat geo = +51.334192 +/- 0.0004 deg
  Ht      =  111427.96 +/- 191.06 m

  JD dynamic   = 2459521.603757295758 
  LST apparent = 74.5824428475 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 121.39880 +/- 1.7677 deg
  Dec       = +30.11074 +/- 1.0935 deg
  Azimuth   = 103.48385 +/- 0.6278 deg
  Elevation = +49.56023 +/- 1.8484 deg
  Vavg      =  64.37845 +/- 0.6240 km/s
  Vinit     =  65.94259 +/- 1.1463 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 121.60085 +/- 1.7677 deg
  Dec       = +30.01707 +/- 1.0935 deg
  Azimuth   = 103.39230 +/- 0.6278 deg
  Elevation = +49.37099 +/- 1.8484 deg
  Vavg      =  64.56497 +/- 0.6240 km/s
  Vinit     =  66.12911 +/- 1.1463 km/s
Radiant (geocentric, J2000):
  R.A.   = 121.30467 +/- 1.7711 deg
  Dec    = +29.95875 +/- 1.0963 deg
  Vg     =  65.00260 +/- 1.1619 km/s
  Vinf   =  65.94259 +/- 1.1463 km/s
  Zc     =  40.39710 +/- 1.8501 deg
  Zg     =  40.69973 +/- 1.8557 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 117.15006 +/- 1.7808 deg
  Bg     =  +9.42389 +/- 0.7302 deg
  Vh     =  37.34132 +/- 0.8417 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 105.21218 +/- 3.4078 deg
  Bh     = +16.56078 +/- 1.3009 deg
  Vh_x   =   9.39170 +/- 2.3465 km/s
  Vh_y   = -34.53819 +/- 0.4712 km/s
  Vh_z   = -10.64348 +/- 0.7101 km/s
Orbit:
  La Sun = 220.589416 +/- 0.0000 deg
  a      =   2.251792 +/- 0.7604 AU
  e      =   0.654897 +/- 0.0559
  i      = 161.781679 +/- 1.6713 deg
  peri   = 243.109667 +/- 9.3936 deg
  node   = 220.593440 +/- 0.0004 deg
  Pi     = 103.703107 +/- 9.3932 deg
  q      =   0.777100 +/- 0.0450 AU
  f      = 296.893137 +/- 9.3939 deg
  M      = 348.180779 +/- 2.8852 deg
  Q      =   3.726485 +/- 1.4906 AU
  n      =   0.291684 +/- 0.0620 deg/day
  T      =   3.379039 +/- 2.1024 years
  Last perihelion JD = 2458327.909177 (2018-07-28 09:49:12.863082) +/- 772.5930 days
  Tj     =   1.366803 +/- 0.4230
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +3.060803e-03, +1.251176e-03, -4.117832e+01, +1.110261e-05, -3.245030e-01, +4.284970e-02
q   , +1.251176e-03, +2.098219e-03, -2.334119e+01, +1.650303e-05, -4.301421e-01, +7.495620e-02
Tp  , -4.117832e+01, -2.334119e+01, +5.856619e+05, -2.009169e-01, +5.589840e+03, -8.190809e+02
node, +1.110261e-05, +1.650303e-05, -2.009169e-01, +1.441494e-07, -3.429110e-03, +6.413969e-04
peri, -3.245030e-01, -4.301421e-01, +5.589840e+03, -3.429110e-03, +9.026694e+01, -1.532346e+01
i   , +4.284970e-02, +7.495620e-02, -8.190809e+02, +6.413969e-04, -1.532346e+01, +2.898638e+00

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: UK003H
  Avg. res. = 4.882e-06 s
  Stddev    = 2.21e-03 s

Begin point on the trajectory:
  Lon =    -5.087482 +/- 0.0031 deg
  Lat =    51.523270 +/- 0.0002 deg
  Ht  = 108749.17 +/- 128.06 m
End point on the trajectory:
  Lon =    -5.199961 +/- 0.0028 deg
  Lat =    51.539879 +/- 0.0002 deg
  Ht  = 99269.34 +/- 84.69 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
    UK0006,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   106791.52,    99269.34,          0.012677,     51.58,     38.42,             106.99, 1.0000,    True,    True, {"ff_name": "FF_UK0006_20211103_022812_046_0836096.fits"}
    UK003H,   False,    -2.379250,    51.361350,  169.00, 142.243345,   0.000000,   108749.17,   100425.87,          0.007960,     28.30,     11.60,             102.27, 1.0000,    True,    True, {"ff_name": "FF_UK003H_20211103_022813_301_0246016.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,     UK0006,       0,  0.074600, 2459521.602956974879,   6.61637,  11.78541,              262.91387,  20.50336,       262.92181,       20.50543,      6.61637,     +11.78541,       6.61176,      +11.79167,  1078488.52,  3896289.42,  5053860.73,      51.526703,       -5.110648,  106791.52,  288593.51,       0.00,             6093.36,   101.30,      0.00,           67547.19,    -23.24,    -31.17,          27.79,  +5.38,  +3.08
  1,     UK0006,       0,  0.114888, 2459521.602957441006,   6.25295,  11.53279,              263.04145,  20.08363,       263.04631,       20.08489,      6.25295,     +11.53279,       6.25029,      +11.53663,  1079512.25,  3894612.20,  5052721.19,      51.529732,       -5.131147,  105063.73,  289186.20,    2271.49,             8364.85,  -283.90,  56381.31,           67547.19,    -14.29,    -19.17,          17.05,  +2.86,  +0.55
  2,     UK0006,       0,  0.155288, 2459521.602957908995,   5.77157,  11.18080,              263.19915,  19.51387,       263.21314,       19.51751,      5.77157,     +11.18080,       5.76373,      +11.19187,  1080900.69,  3892337.46,  5051175.68,      51.533836,       -5.158911,  102720.95,  290012.88,    5352.20,            11445.55,   132.72,  76255.10,           67547.19,    -41.38,    -55.50,          49.23,  +1.94,  -0.37
  3,     UK0006,       0,  0.195620, 2459521.602958375588,   5.33503,  10.89578,              263.36504,  19.02367,       263.35791,       19.02182,      5.33503,     +10.89578,       5.33972,      +10.89013,  1082119.73,  3890340.26,  5049818.73,      51.537437,       -5.183328,  100664.49,  290765.09,    8057.04,            14150.40,   177.97,  67064.49,           67547.19,     21.19,     28.44,          25.16,  +2.13,  -0.19
  4,     UK0006,       0,  0.235844, 2459521.602958841249,   5.03967,  10.70364,              263.47779,  18.69245,       263.45535,       18.68663,      5.03967,     +10.70364,       5.05355,      +10.68582,  1082946.89,  3888985.08,  5048897.99,      51.539879,       -5.199961,   99269.34,  291292.24,    9892.39,            15985.74,  -639.16,  45628.08,           63418.71,     66.91,     89.86,          79.33,  +5.98,  +3.66
  0,     UK003H,       1,  0.000000, 2459521.602956083138,   2.39481,  26.59019,              276.41890,  29.69708,       276.41606,       29.69682,      2.39481,     +26.59019,       2.39628,      +26.58829,  1075756.79,  3900764.92,  5056901.50,      51.518612,       -5.056142,  111403.52,  218925.61,       0.00,               32.11, -1040.64,      0.00,           74701.61,      3.60,      8.78,           8.94,  +5.77,  +4.07
  1,     UK003H,       0,  0.040760, 2459521.602956554852,   1.62315,  26.01164,              276.53230,  28.80072,       276.52309,       28.79988,      1.62315,     +26.01164,       1.62886,      +26.00546,  1077328.82,  3898189.40,  5055151.63,      51.523270,       -5.087482,  108749.17,  219488.08,    3488.07,             3520.17,  -240.39,  85575.73,           74701.61,     11.78,     28.77,          29.22,  +3.94,  +2.23
  2,     UK003H,       0,  0.081400, 2459521.602957025170,   1.00420,  25.50717,              276.59675,  28.05103,       276.61081,       28.05232,      1.00420,     +25.50717,       0.99520,      +25.51663,  1078644.93,  3896033.16,  5053686.63,      51.527166,       -5.113771,  106527.52,  220002.24,    6408.30,             6440.41,    -0.06,  71856.11,           74701.61,    -18.17,    -44.33,          44.92,  +2.29,  +0.58
  3,     UK003H,       0,  0.121992, 2459521.602957495023,   0.41289,  25.05128,              276.68302,  27.35255,       276.69171,       27.35335,      0.41289,     +25.05128,       0.40747,      +25.05714,  1079881.04,  3894007.99,  5052310.68,      51.530822,       -5.138494,  104441.40,  220520.06,    9151.02,             9183.13,    65.91,  67567.98,           74701.61,    -11.33,    -27.63,          27.93,  +1.78,  +0.06
  4,     UK003H,       0,  0.162544, 2459521.602957964409, 359.85625,  24.62538,              276.77035,  26.69641,       276.76683,       26.69609,    359.85625,     +24.62538,     359.85890,      +24.62300,  1081048.63,  3892095.08,  5051011.00,      51.534274,       -5.161873,  102471.34,  221040.05,   11741.72,            11773.82,   -17.49,  63885.79,           71736.69,      4.63,     11.30,          11.39,  +1.70,  -0.02
  5,     UK003H,       0,  0.203120, 2459521.602958434261, 359.29913,  24.16857,              276.83802,  26.01639,       276.84356,       26.01690,    359.29913,     +24.16857,     359.29603,      +24.17232,  1082261.20,  3890108.49,  5049661.26,      51.537855,       -5.186165,  100425.87,  221610.61,   14432.19,            14464.29,    -2.71,  66306.93,           70113.33,     -7.34,    -17.91,          18.02,  +2.17,  +0.44

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.