Orbital Analysis for matched events on 20211015_194750.401_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 40.72° Bg 12.31° Vg 40.95km/s
mass 0.18267g, abs. mag -2.1
best visual mag 0.3
Path Details
------------
start -5.10° 51.88° 89.27km
end   -5.22° 51.87° 84.77km

Orbit Details
-------------
Semimajor axis -11.75A.U., eccentricity 1.02, inclination 26.81°, Period nanY, LA Sun 202.38°, 

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: 2459503.324888908304
Time: 2021-10-15 19:47:50.459050 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002H and UK003Y
 Convergence angle = 23.57007 deg
 R.A. =  34.17471  Dec = +27.89653 deg

Best intersection: Stations UK002H and UK003Y with Qconv = 23.57 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2899424.36 +/- 47.70 m
 Y =  -2757045.93 +/- 454.55 m
 Z =   5065770.87 +/- 109.29 m
 Vx =    31371.50 +/- 1961.57 m/s
 Vy =    20696.86 +/- 2675.61 m/s
 Vz =    19692.94 +/- 913.38 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.952704e+03, -3.318397e+02, +1.540965e+03, -2.825326e+03, +1.047899e+04, +2.941445e+03
-3.318397e+02, +1.996166e+03, +1.367559e+03, +1.009231e+03, -2.123470e+04, +4.120287e+03
+1.540965e+03, +1.367559e+03, +4.906414e+03, +8.402471e+01, -4.196816e+04, +1.255431e+04
-2.825326e+03, +1.009231e+03, +8.402471e+01, +5.737104e+03, -4.775816e+04, +2.118427e+03
+1.047899e+04, -2.123470e+04, -4.196816e+04, -4.775816e+04, +7.462237e+05, -1.232919e+05
+2.941445e+03, +4.120287e+03, +1.255431e+04, +2.118427e+03, -1.232919e+05, +3.281482e+04

Timing offsets (from input data):
    UK002H: 0.000000 s
    UK003Y: -0.002279 s

Reference point on the trajectory:
  Time: 2021-10-15 19:47:50.459050 UTC
  Lon     = +-5.076887 +/- 0.0044 deg
  Lat     = +51.882406 +/- 0.0028 deg
  Lat geo = +51.697976 +/- 0.0028 deg
  Ht      =   90233.62 +/- 160.91 m

  JD dynamic   = 2459503.325690313242 
  LST apparent = 316.4418816811 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  33.41420 +/- 3.8674 deg
  Dec       = +27.65347 +/- 0.7045 deg
  Azimuth   =  81.47211 +/- 2.5583 deg
  Elevation = +29.23545 +/- 2.6695 deg
  Vavg      =  41.46360 +/- 1.0266 km/s
  Vinit     =  42.43045 +/- 0.9832 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  33.51371 +/- 3.8674 deg
  Dec       = +27.47634 +/- 0.7045 deg
  Azimuth   =  81.53854 +/- 2.5583 deg
  Elevation = +29.04626 +/- 2.6695 deg
  Vavg      =  41.71563 +/- 1.0266 km/s
  Vinit     =  42.68248 +/- 0.9832 km/s
Radiant (geocentric, J2000):
  R.A.   =  34.02599 +/- 3.8566 deg
  Dec    = +26.68790 +/- 0.7159 deg
  Vg     =  40.94935 +/- 1.0194 km/s
  Vinf   =  42.43045 +/- 0.9832 km/s
  Zc     =  60.79206 +/- 2.6771 deg
  Zg     =  61.98606 +/- 2.6849 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  40.71895 +/- 3.1637 deg
  Bg     = +12.31087 +/- 1.6424 deg
  Vh     =  43.07020 +/- 0.7550 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 358.20020 +/- 3.3267 deg
  Bh     = +11.69738 +/- 1.0525 deg
  Vh_x   = -42.15491 +/- 0.5108 km/s
  Vh_y   =   1.32463 +/- 2.4542 km/s
  Vh_z   =  -8.73216 +/- 0.9021 km/s
Orbit:
  La Sun = 202.379219 +/- 0.0000 deg
  a      = -11.752273 +/- 98.1368 AU
  e      =   1.017703 +/- 0.0219
  i      =  26.814599 +/- 1.6704 deg
  peri   = 304.669753 +/- 8.3613 deg
  node   = 202.380833 +/- 0.0001 deg
  Pi     = 147.050586 +/- 8.3612 deg
  q      =   0.208055 +/- 0.0543 AU
  f      = 235.327760 +/- 8.3612 deg
  M      =        nan +/- nan deg
  Q      = -23.712601 +/- 196.2831 AU
  n      =   0.024464 +/- 0.0296 deg/day
  T      =        nan +/- nan years
  Last perihelion JD = NaN 
  Tj     =   0.064116 +/- 0.3116
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +2.573543e-06, +2.393180e-05, -4.653987e+02, -7.733738e-09, -3.933131e-03, +1.017817e-04
q   , +2.393180e-05, +2.410394e-04, -4.052117e+03, -2.021176e-07, -3.953620e-02, +2.675817e-03
Tp  , -4.653987e+02, -4.052117e+03, +9.421029e+10, +3.869046e-01, +6.655142e+05, -4.582156e+03
node, -7.733738e-09, -2.021176e-07, +3.869046e-01, +1.085358e-09, +3.241726e-05, -1.435242e-05
peri, -3.933131e-03, -3.953620e-02, +6.655142e+05, +3.241726e-05, +6.485616e+00, -4.292392e-01
i   , +1.017817e-04, +2.675817e-03, -4.582156e+03, -1.435242e-05, -4.292392e-01, +1.898137e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 118.556805

Mean time residuals from time vs. length:
  Station with reference time: UK002H
  Avg. res. = 5.861e-06 s
  Stddev    = 2.42e-03 s

Begin point on the trajectory:
  Lon =    -5.101399 +/- 0.0021 deg
  Lat =    51.880129 +/- 0.0020 deg
  Ht  = 89265.21 +/- 152.93 m
End point on the trajectory:
  Lon =    -5.216282 +/- 0.0037 deg
  Lat =    51.869473 +/- 0.0022 deg
  Ht  = 84771.60 +/- 126.76 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
    UK002H,   False,    -2.412630,    53.386080,   20.00,   0.000000,   0.000000,    88736.66,    84771.60,          0.015026,     62.99,     31.64,             119.57, 1.0000,    True,    True, {"ff_name": "FF_UK002H_20211015_194749_228_0179456.fits"}
    UK003Y,   False,    -3.059440,    54.994170,   18.00,   0.000000,   0.000000,    89265.21,    85113.04,          0.019469,    124.93,     40.56,             106.87, 1.0000,    True,    True, {"ff_name": "FF_UK003Y_20211015_194749_076_0175104.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,     UK002H,       1,  0.000000, 2459503.324888908304, 273.84092,  -6.61218,              228.24766,  18.93886,       228.20551,       18.91059,    273.84092,      -6.61218,     273.86407,       -6.65532,  2899457.77, -2757023.90,  5065791.84,      51.882458,       -5.076089,   90255.68,  263610.19,       0.00,               45.18,   384.46,      0.00,           40402.89,   -101.02,   -200.93,         175.97,  +3.86,  +1.76
  1,     UK002H,       0,  0.080268, 2459503.324889837299, 273.33580,  -6.92555,              228.57215,  18.43356,       228.56730,       18.43031,    273.33580,      -6.92555,     273.33880,       -6.93053,  2897157.42, -2758541.52,  5064347.83,      51.878883,       -5.114880,   88736.66,  265157.31,    3111.26,             3066.08,    -0.45,  38760.91,           40402.89,    -11.71,    -23.31,          20.29,  +1.63,  -0.49
  2,     UK002H,       0,  0.120404, 2459503.324890302029, 273.02774,  -7.08250,              228.78493,  18.15552,       228.77692,       18.15016,    273.02774,      -7.08250,     273.03264,       -7.09072,  2895803.98, -2759434.42,  5063498.23,      51.876773,       -5.137678,   87843.44,  266079.17,    4941.80,             4896.62,   127.11,  45608.50,           40402.89,    -19.40,    -38.60,          33.49,  +0.63,  -1.50
  3,     UK002H,       0,  0.160520, 2459503.324890766293, 272.78334,  -7.21982,              228.94695,  17.92329,       228.94652,       17.92301,    272.78334,      -7.21982,     272.78424,       -7.22026,  2894701.02, -2760162.09,  5062805.87,      51.875050,       -5.156292,   87115.80,  266838.92,    6433.58,             6388.40,   -83.26,  37186.51,           40402.89,     -1.03,     -2.05,           1.78,  +0.73,  -1.40
  4,     UK002H,       0,  0.200660, 2459503.324891230557, 272.45270,  -7.38422,              229.17536,  17.62786,       229.16887,       17.62352,    272.45270,      -7.38422,     272.45709,       -7.39090,  2893237.22, -2761127.80,  5061886.99,      51.872758,       -5.180944,   86150.51,  267854.26,    8413.39,             8368.21,   193.39,  49322.60,           41635.55,    -15.86,    -31.55,          27.19,  +0.26,  -1.88
  5,     UK002H,       0,  0.240792, 2459503.324891695287, 272.21603,  -7.53732,              229.32123,  17.38465,       229.33772,       17.39568,    272.21603,      -7.53732,     272.20799,       -7.52033,  2892117.59, -2761866.46,  5061184.16,      51.871001,       -5.199843,   85412.46,  268640.12,    9927.71,             9882.52,     4.89,  37733.45,           41637.82,     40.44,     80.50,          69.17,  +0.82,  -1.33
  6,     UK002H,       0,  0.280896, 2459503.324892159551, 272.00469,  -7.65717,              229.45907,  17.18235,       229.48347,       17.19866,    272.00469,      -7.65717,     271.99247,       -7.63199,  2891145.12, -2762508.04,  5060573.71,      51.869473,       -5.216282,   84771.60,  269328.88,   11242.99,            11197.81,  -381.45,  32796.93,           40842.23,     60.04,    119.55,         102.45,  +1.82,  -0.33
  0,     UK003Y,       0,  0.055111, 2459503.324889572337, 295.14507, -20.69386,              202.21847,  11.73491,       202.20713,       11.72035,    295.14507,     -20.69386,     295.15326,      -20.71060,  2897958.02, -2758013.33,  5064850.40,      51.880129,       -5.101399,   89265.21,  385182.68,       0.00,             1983.25,   -15.84,      0.00,           42129.69,    -38.04,    117.07,          65.92,  +3.57,  +0.64
  1,     UK003Y,       0,  0.095295, 2459503.324890037533, 294.91114, -20.82731,              202.40393,  11.55418,       202.41383,       11.56687,    294.91114,     -20.82731,     294.90464,      -20.81271,  2896646.88, -2758878.33,  5064027.35,      51.878088,       -5.123488,   88399.68,  385692.61,    1773.34,             3756.59,    52.48,  44130.43,           42129.69,     33.20,   -102.26,          57.50,  +1.73,  -1.20
  2,     UK003Y,       0,  0.135463, 2459503.324890502729, 294.66716, -20.93138,              202.60508,  11.39945,       202.61749,       11.41535,    294.66716,     -20.93138,     294.65910,      -20.91306,  2895350.29, -2759733.74,  5063213.44,      51.876065,       -5.145338,   87544.11,  386204.35,    3526.99,             5510.24,   101.79,  43658.05,           42129.69,     41.67,   -128.37,          72.08,  +0.98,  -1.95
  3,     UK003Y,       0,  0.175607, 2459503.324890966993, 294.45513, -21.02299,              202.77909,  11.26353,       202.79465,       11.28345,    294.45513,     -21.02299,     294.44508,      -21.00002,  2894219.84, -2760479.54,  5062503.81,      51.874297,       -5.164412,   86798.43,  386657.04,    5055.95,             7039.20,   -72.58,  38086.90,           42129.69,     52.26,   -161.02,          90.31,  +1.10,  -1.84
  4,     UK003Y,       0,  0.215755, 2459503.324891431723, 294.19247, -21.09240,              203.00480,  11.13752,       202.99936,       11.13056,    294.19247,     -21.09240,     294.19715,      -21.10044,  2892907.21, -2761345.52,  5061679.84,      51.872241,       -5.186537,   85932.94,  387189.02,    6831.30,             8814.55,    -0.74,  44219.96,           42194.40,    -18.32,     56.38,          31.58,  +0.69,  -2.25
  5,     UK003Y,       0,  0.255927, 2459503.324891896918, 293.97162, -21.21703,              203.17783,  10.96689,       203.19273,       10.98594,    293.97162,     -21.21703,     293.96243,      -21.19501,  2891663.27, -2762166.20,  5060898.97,      51.870287,       -5.207517,   85113.04,  387700.29,    8513.75,            10497.00,   -22.80,  41881.32,           42168.15,     50.17,   -154.57,          86.46,  +1.51,  -1.43
  6,     UK003Y,       1,  0.295915, 2459503.324892359786, 293.84407, -21.13138,              203.31655,  11.02110,       203.25374,       10.94098,    293.84407,     -21.13138,     293.88857,      -21.22408,  2891277.12, -2762420.95,  5060656.57,      51.869680,       -5.214145,   84858.52,  387863.20,    9036.03,            11019.28, -1197.23,  13060.71,           39054.45,   -211.94,    650.73,         363.95,  +4.67,  +1.73

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.