Orbital Analysis for matched events on 20210929_034407.849_UK

Summary for Event
-----------------
shower ID 208 SPE
Lg 74.31° Bg 17.76° Vg 64.10km/s
mass 0.05270g, abs. mag -1.6
Path Details
------------
start -5.81° 52.78° 107.48km
end   -5.84° 52.80° 94.53km

Orbit Details
-------------
Semimajor axis 6.79A.U., eccentricity 0.90, inclination 144.11°, Period 17.68Y, LA Sun 185.93°, last Perihelion 2004-03-04

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: 2459486.655646407045
Time: 2021-09-29 03:44:07.849569 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003F and UK003Y
 Convergence angle = 78.41971 deg
 R.A. =  70.89514  Dec = +40.20881 deg

Best intersection: Stations UK003F and UK003Y with Qconv = 78.42 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2062898.19 +/- 7.14 m
 Y =   3346558.41 +/- 7.02 m
 Z =   5141376.55 +/- 6.25 m
 Vx =    16470.91 +/- 60.50 m/s
 Vy =    46825.33 +/- 52.43 m/s
 Vz =    42048.75 +/- 46.53 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.465046e+01, -3.158023e+01, +2.145038e+01, +3.745995e+02, -1.604919e+02, +1.338641e+02
-3.158023e+01, +5.266018e+01, -1.605891e+01, -2.309413e+02, +2.557600e+02, -2.442707e+02
+2.145038e+01, -1.605891e+01, +4.163682e+01, +5.478425e+00, -1.351312e+02, +1.427244e+02
+3.745995e+02, -2.309413e+02, +5.478425e+00, +3.911565e+03, -1.317366e+03, +9.804661e+02
-1.604919e+02, +2.557600e+02, -1.351312e+02, -1.317366e+03, +1.843431e+03, -1.777078e+03
+1.338641e+02, -2.442707e+02, +1.427244e+02, +9.804661e+02, -1.777078e+03, +1.742559e+03

Timing offsets (from input data):
    UK003F: 0.000000 s
    UK003Y: -0.000030 s

Reference point on the trajectory:
  Time: 2021-09-29 03:44:07.849569 UTC
  Lon     = +-5.811995 +/- 0.0001 deg
  Lat     = +52.779602 +/- 0.0000 deg
  Lat geo = +52.597146 +/- 0.0000 deg
  Ht      =  107479.20 +/- 5.57 m

  JD dynamic   = 2459486.656447147951 
  LST apparent = 58.3493322399 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  70.62057 +/- 0.0749 deg
  Dec       = +40.26837 +/- 0.0457 deg
  Azimuth   = 141.34462 +/- 0.1770 deg
  Elevation = +74.95195 +/- 0.0569 deg
  Vavg      =  63.46150 +/- 0.0113 km/s
  Vinit     =  65.05382 +/- 0.0107 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  70.94351 +/- 0.0749 deg
  Dec       = +40.23326 +/- 0.0457 deg
  Azimuth   = 140.59320 +/- 0.1770 deg
  Elevation = +74.79851 +/- 0.0569 deg
  Vavg      =  63.50860 +/- 0.0113 km/s
  Vinit     =  65.10093 +/- 0.0107 km/s
Radiant (geocentric, J2000):
  R.A.   =  70.31840 +/- 0.0754 deg
  Dec    = +40.13221 +/- 0.0460 deg
  Vg     =  64.10015 +/- 0.0109 km/s
  Vinf   =  65.05382 +/- 0.0107 km/s
  Zc     =  14.90599 +/- 0.0570 deg
  Zg     =  15.01668 +/- 0.0575 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  74.31287 +/- 0.0576 deg
  Bg     = +17.76027 +/- 0.0493 deg
  Vh     =  40.50095 +/- 0.0330 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  55.56428 +/- 0.0928 deg
  Bh     = +28.87037 +/- 0.0712 deg
  Vh_x   = -20.05607 +/- 0.0600 km/s
  Vh_y   = -29.25202 +/- 0.0221 km/s
  Vh_z   = -19.55506 +/- 0.0532 km/s
Orbit:
  La Sun = 185.928979 +/- -0.0000 deg
  a      =   6.785871 +/- 0.1458 AU
  e      =   0.902500 +/- 0.0021
  i      = 144.109298 +/- 0.0990 deg
  peri   = 253.489452 +/- 0.0758 deg
  node   = 185.929857 +/- 0.0000 deg
  Pi     =  79.419309 +/- 0.0758 deg
  q      =   0.661621 +/- 0.0009 AU
  f      = 286.509340 +/- 0.0758 deg
  M      = 357.807483 +/- 0.0682 deg
  Q      =  12.910121 +/- 0.2923 AU
  n      =   0.055757 +/- 0.0017 deg/day
  T      =  17.677019 +/- 0.5772 years
  Last perihelion JD = 2453069.335991 (2004-03-04 20:03:49.652922) +/- 210.8462 days
  Tj     =  -0.029921 +/- 0.0150
Shower association:
  IAU No.  =  208
  IAU code =  SPE

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.640444e-06, -1.473529e-06, -4.688216e-01, +9.872948e-11, +1.215059e-06, -2.750186e-06
q   , -1.473529e-06, +7.899854e-07, +1.437683e-01, -5.981289e-12, -1.091678e-06, +1.689586e-07
Tp  , -4.688216e-01, +1.437683e-01, +4.751441e+04, -1.037075e-05, -1.115829e-01, +2.888774e-01
node, +9.872948e-11, -5.981289e-12, -1.037075e-05, +4.110906e-15, -2.974855e-11, -1.143157e-10
peri, +1.215059e-06, -1.091678e-06, -1.115829e-01, -2.974855e-11, +1.865038e-06, +8.235227e-07
i   , -2.750186e-06, +1.689586e-07, +2.888774e-01, -1.143157e-10, +8.235227e-07, +3.178919e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000768
 a2 = 62.307597

Mean time residuals from time vs. length:
  Station with reference time: UK003F
  Avg. res. = 7.681e-06 s
  Stddev    = 2.77e-03 s

Begin point on the trajectory:
  Lon =    -5.811984 +/- 0.0001 deg
  Lat =    52.779594 +/- 0.0000 deg
  Ht  = 107483.49 +/- 3.25 m
End point on the trajectory:
  Lon =    -5.844674 +/- 0.0001 deg
  Lat =    52.803673 +/- 0.0001 deg
  Ht  = 94529.34 +/- 3.30 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
    UK003F,   False,    -1.802002,    51.351948,  130.00,   0.253646,  33.894928,   107483.49,    95120.51,          0.001566,      8.18,      4.23,              84.15, 1.0000,    True,    True, {"ff_name": "FF_UK003F_20210929_034402_022_0839424.fits"}
    UK003Y,   False,    -3.059440,    54.994170,   18.00,   0.000000,   0.000000,   104433.31,    94529.34,          0.001552,      5.72,      6.65,              66.08, 1.0000,    True,    True, {"ff_name": "FF_UK003Y_20210929_034405_949_0828416.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,     UK003F,       0,  0.000000, 2459486.655646407045, 318.07946,  32.84671,              301.58498,  17.10891,       301.58518,       17.10893,    318.07946,     +32.84671,     318.07930,      +32.84685,  2062899.32,  3346561.62,  5141379.43,      52.779594,       -5.811984,  107483.49,  337666.25,       0.00,                4.45,   113.07,      0.00,           64294.09,      0.52,     -1.00,           0.69,  +3.34,  +0.70
  1,     UK003F,       0,  0.040400, 2459486.655646874569, 317.72141,  32.54460,              301.62946,  16.68435,       301.62942,       16.68435,    317.72141,     +32.54460,     317.72161,      +32.54457,  2062260.32,  3344745.00,  5139748.12,      52.784117,       -5.818121,  105046.24,  337420.56,    2523.80,             2519.35,    -0.20,  62470.32,           64294.09,     -0.10,      0.19,           0.13,  +2.50,  -0.14
  2,     UK003F,       0,  0.080828, 2459486.655647342559, 317.34048,  32.22086,              301.67757,  16.23030,       301.67660,       16.23020,    317.34048,     +32.22086,     317.34160,      +32.22020,  2061577.78,  3342804.59,  5138005.66,      52.788952,       -5.824671,  102442.97,  337178.16,    5219.58,             5215.13,    65.59,  66681.03,           64294.09,     -2.54,      4.91,           3.38,  +0.63,  -2.01
  3,     UK003F,       0,  0.121232, 2459486.655647810083, 316.98194,  31.91504,              301.72431,  15.80156,       301.72090,       15.80123,    316.98194,     +31.91504,     316.98522,      +31.91273,  2060933.98,  3340974.35,  5136362.11,      52.793516,       -5.830865,   99987.55,  336969.69,    7762.32,             7757.87,   -20.11,  62932.87,           64294.09,     -8.90,     17.22,          11.87,  +0.64,  -2.00
  4,     UK003F,       0,  0.161644, 2459486.655648278072, 316.62493,  31.60062,              301.76653,  15.36641,       301.76564,       15.36633,    316.62493,     +31.60062,     316.62633,      +31.60002,  2060282.08,  3339121.04,  5134697.86,      52.798141,       -5.837140,   97501.24,  336777.92,   10337.10,            10332.65,   -74.29,  63713.12,           64121.38,     -2.33,      4.50,           3.10,  +0.68,  -1.96
  5,     UK003F,       0,  0.202036, 2459486.655648745596, 316.28251,  31.30032,              301.80983,  14.94956,       301.80831,       14.94941,    316.28251,     +31.30032,     316.28460,      +31.29929,  2059657.85,  3337346.40,  5133104.25,      52.802572,       -5.843162,   95120.51,  336613.07,   12802.58,            12798.13,  -236.46,  61038.91,           63631.91,     -3.99,      7.73,           5.33,  +1.60,  -1.04
  0,     UK003Y,       0,  0.054681, 2459486.655647038948,  24.76180, -10.94086,              217.55655,  17.35140,       217.55446,       17.35084,     24.76180,     -10.94086,      24.76372,      -10.94210,  2062099.62,  3344288.14,  5139337.87,      52.785255,       -5.819682,  104433.31,  325216.30,       0.00,             3154.06,  -294.50,      0.00,           67037.01,      8.94,      7.69,           7.48,  +1.65,  -0.91
  1,     UK003Y,       0,  0.095089, 2459486.655647506472,  24.46125, -11.33810,              217.69641,  16.87507,       217.69676,       16.87517,     24.46125,     -11.33810,      24.46136,      -11.33789,  2061328.41,  3342095.65,  5137369.03,      52.790720,       -5.827063,  101491.86,  324019.12,    3046.00,             6200.06,   122.80,  75381.10,           67037.01,     -1.50,     -1.29,           1.26,  +1.13,  -1.42
  2,     UK003Y,       0,  0.135429, 2459486.655647973530,  24.20395, -11.66838,              217.81852,  16.47637,       217.81596,       16.47568,     24.20395,     -11.66838,      24.20660,      -11.66990,  2060685.25,  3340267.23,  5135727.12,      52.795280,       -5.833253,   99038.90,  323040.36,    5586.21,             8740.26,    38.74,  62969.91,           67037.01,     10.90,      9.38,           9.18,  +1.00,  -1.55
  3,     UK003Y,       0,  0.175777, 2459486.655648440588,  23.94485, -12.01015,              217.93687,  16.06623,       217.93752,       16.06641,     23.94485,     -12.01015,      23.94505,      -12.00976,  2060030.44,  3338405.66,  5134055.45,      52.799927,       -5.839558,   96541.53,  322061.30,    8172.46,            11326.51,     0.20,  64098.58,           67037.01,     -2.79,     -2.40,           2.36,  +1.00,  -1.54
  4,     UK003Y,       0,  0.216057, 2459486.655648906715,  23.73080, -12.28437,              218.03679,  15.73494,       218.03597,       15.73472,     23.73080,     -12.28437,      23.73237,      -12.28486,  2059502.84,  3336905.74,  5132708.53,      52.803673,       -5.844674,   94529.34,  321286.65,   10256.28,            13410.34,  -536.34,  51733.53,           63553.18,      3.49,      3.00,           2.95,  +3.69,  +1.16

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.