Orbital Analysis for matched events on 20210904_041610.630_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 45.74° Bg 3.28° Vg 61.40km/s
mass 0.05259g, abs. mag -1.6
Path Details
------------
start -0.50° 51.89° 95.48km
end   -0.49° 51.93° 86.64km

Orbit Details
-------------
Semimajor axis 2.51A.U., eccentricity 0.83, inclination 172.20°, Period 3.97Y, LA Sun 161.57°, last Perihelion 2017-10-30

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: 2459461.677900810726
Time: 2021-09-04 04:16:10.630047 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK002C
 Convergence angle = 11.31873 deg
 R.A. =  40.64893  Dec = +17.38090 deg

Best intersection: Stations UK000S and UK002C with Qconv = 11.32 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2728118.28 +/- 123.67 m
 Y =   2930830.09 +/- 146.55 m
 Z =   5070104.54 +/- 282.84 m
 Vx =    43151.08 +/- 1749.82 m/s
 Vy =    39676.03 +/- 1176.33 m/s
 Vz =    21375.09 +/- 2625.05 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.528529e+04, -1.615967e+04, -3.318535e+04, +1.097662e+05, -1.107142e+05, -2.267127e+05
-1.615967e+04, +2.346982e+04, +4.367570e+04, -1.224384e+05, +1.304863e+05, +2.568082e+05
-3.318535e+04, +4.367570e+04, +8.703821e+04, -2.564905e+05, +2.619370e+05, +5.570397e+05
+1.097662e+05, -1.224384e+05, -2.564905e+05, +1.240021e+06, -1.112170e+06, -2.564127e+06
-1.107142e+05, +1.304863e+05, +2.619370e+05, -1.112170e+06, +1.059084e+06, +2.289715e+06
-2.267127e+05, +2.568082e+05, +5.570397e+05, -2.564127e+06, +2.289715e+06, +5.514255e+06

Timing offsets (from input data):
    UK000S: 0.001145 s
    UK002C: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-04 04:16:10.630047 UTC
  Lon     = +-0.502392 +/- 0.0026 deg
  Lat     = +51.884832 +/- 0.0014 deg
  Lat geo = +51.700557 +/- 0.0014 deg
  Ht      =   95534.43 +/- 240.88 m

  JD dynamic   = 2459461.678701551631 
  LST apparent = 47.0515414389 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  42.59754 +/- 1.5473 deg
  Dec       = +20.03405 +/- 2.3540 deg
  Azimuth   = 187.90468 +/- 1.8590 deg
  Elevation = +57.95958 +/- 2.5389 deg
  Vavg      =  60.40106 +/- 0.2011 km/s
  Vinit     =  62.39469 +/- 0.3948 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  42.88217 +/- 1.5473 deg
  Dec       = +20.04096 +/- 2.3540 deg
  Azimuth   = 187.40349 +/- 1.8590 deg
  Elevation = +57.98986 +/- 2.5389 deg
  Vavg      =  60.38044 +/- 0.2011 km/s
  Vinit     =  62.37407 +/- 0.3948 km/s
Radiant (geocentric, J2000):
  R.A.   =  42.26511 +/- 1.5535 deg
  Dec    = +19.68273 +/- 2.3818 deg
  Vg     =  61.39792 +/- 0.4015 km/s
  Vinf   =  62.39469 +/- 0.3948 km/s
  Zc     =  31.85790 +/- 2.5402 deg
  Zg     =  32.12124 +/- 2.5671 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  45.73787 +/- 2.1695 deg
  Bg     =  +3.27566 +/- 1.8058 deg
  Vh     =  37.48651 +/- 0.7894 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  24.94645 +/- 3.2912 deg
  Bh     =  +5.37288 +/- 2.7494 deg
  Vh_x   = -33.83978 +/- 1.2098 km/s
  Vh_y   = -15.74126 +/- 1.9570 km/s
  Vh_z   =  -3.51013 +/- 1.8866 km/s
Orbit:
  La Sun = 161.569820 +/- -0.0000 deg
  a      =   2.506010 +/- 1.8466 AU
  e      =   0.832940 +/- 0.0293
  i      = 172.203967 +/- 4.5800 deg
  peri   = 286.669891 +/- 52.5281 deg
  node   = 161.558266 +/- 52.6898 deg
  Pi     =  88.228157 +/- 4.0454 deg
  q      =   0.418655 +/- 0.0398 AU
  f      = 253.316411 +/- 3.9221 deg
  M      = 349.087741 +/- 2.2994 deg
  Q      =   4.593364 +/- 3.7141 AU
  n      =   0.248445 +/- 0.0524 deg/day
  T      =   3.967115 +/- 7.3774 years
  Last perihelion JD = 2458056.587042 (2017-10-30 02:05:20.407730) +/- 2695.7102 days
  Tj     =   1.315828 +/- 0.3244
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +7.133433e-04, -1.048082e-03, -2.711458e+01, -2.332975e-02, +2.519354e-02, -1.152937e-03
q   , -1.048082e-03, +1.688580e-03, +2.804733e+01, +3.758877e-02, -4.065743e-02, +1.146050e-03
Tp  , -2.711458e+01, +2.804733e+01, +3.156216e+06, +3.570898e+02, -3.990863e+02, +7.817017e+01
node, -2.332975e-02, +3.758877e-02, +3.570898e+02, +1.713717e+00, -1.787848e+00, +2.505133e-02
peri, +2.519354e-02, -4.065743e-02, -3.990863e+02, -1.787848e+00, +1.867650e+00, -2.689005e-02
i   , -1.152937e-03, +1.146050e-03, +7.817017e+01, +2.505133e-02, -2.689005e-02, +4.322948e-03

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: UK002C
  Avg. res. = 1.916e-06 s
  Stddev    = 1.38e-03 s

Begin point on the trajectory:
  Lon =    -0.502322 +/- 0.0026 deg
  Lat =    51.885142 +/- 0.0014 deg
  Ht  = 95478.06 +/- 232.89 m
End point on the trajectory:
  Lon =    -0.492232 +/- 0.0023 deg
  Lat =    51.933722 +/- 0.0018 deg
  Ht  = 86642.15 +/- 149.22 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
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,    94898.80,    86642.15,          0.013995,     40.79,     12.11,              91.90, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210904_041607_408_0796416.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,    95478.06,    87102.93,          0.042810,    104.69,     23.14,              79.15, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20210904_041605_945_0798464.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,     UK000S,       0,  0.011811, 2459461.677901204210, 155.56103,  57.08340,               37.24459,  32.34072,        37.27832,       32.33275,    155.56103,     +57.08340,     155.53419,      +57.05770,  2727599.69,  2930353.26,  5069847.65,      51.888322,       -0.501751,   94898.80,  174259.10,       0.00,              749.86,   174.52,      0.00,           62746.06,     25.61,     86.28,         106.53,  +1.52,  +0.31
  1,     UK000S,       0,  0.052459, 2459461.677901674528, 156.73718,  56.67579,               37.03698,  31.60038,        37.03416,       31.60105,    156.73718,     +56.67579,     156.73981,      +56.67793,  2725994.76,  2928877.58,  5069052.64,      51.899125,       -0.499496,   92931.81,  174063.17,    2320.66,             3070.53,   -41.03,  57091.64,           62746.06,     -2.16,     -7.27,           8.99,  -0.02,  -1.22
  2,     UK000S,       0,  0.093183, 2459461.677902145777, 158.04071,  56.25282,               36.76377,  30.79859,        36.77077,       30.79694,    158.04071,     +56.25282,     158.03527,      +56.24752,  2724236.25,  2927260.69,  5068181.56,      51.910970,       -0.497006,   90776.84,  173884.35,    4863.39,             5613.26,   -39.27,  62438.14,           62746.06,      5.39,     18.16,          22.47,  -0.23,  -1.43
  3,     UK000S,       0,  0.133975, 2459461.677902617957, 159.43772,  55.76045,               36.47910,  29.90859,        36.48503,       29.90719,    159.43772,     +55.76045,     159.43322,      +55.75598,  2722295.80,  2925476.50,  5067220.35,      51.924049,       -0.494237,   88399.23,  173730.61,    7669.21,             8419.07,   221.35,  68783.53,           62746.06,      4.59,     15.48,          19.18,  -0.18,  -1.38
  4,     UK000S,       0,  0.174563, 2459461.677903087810, 160.45034,  55.38751,               36.26985,  29.25005,        36.27591,       29.24862,    160.45034,     +55.38751,     160.44579,      +55.38295,  2720861.63,  2924157.83,  5066509.92,      51.933722,       -0.492232,   86642.15,  173644.42,    9742.96,            10492.82,  -237.38,  51092.68,           61017.21,      4.73,     15.93,          19.73,  +0.64,  -0.56
  0,     UK002C,       0,  0.000000, 2459461.677900810726, 128.63378,  50.65649,               56.16847,  40.77224,        56.10393,       40.79499,    128.63378,     +50.65649,     128.64870,      +50.70955,  2728072.29,  2930787.80,  5070081.76,      51.885142,       -0.502322,   95478.06,  144521.06,       0.00,               66.50,   228.08,      0.00,           60735.09,    -29.32,   -132.76,         194.04,  +2.78,  +1.98
  1,     UK002C,       0,  0.040504, 2459461.677901279647, 129.98336,  50.50068,               55.68264,  39.98372,        55.62007,       40.00572,    129.98336,     +50.50068,     129.99957,      +50.55243,  2726481.57,  2929325.18,  5069293.79,      51.895848,       -0.500089,   93528.41,  143826.19,    2300.12,             2366.62,     0.97,  56787.51,           60735.09,    -28.56,   -129.29,         189.89,  -0.04,  -0.83
  2,     UK002C,       0,  0.081052, 2459461.677901749033, 131.47892,  50.33138,               55.12967,  39.11482,        55.09599,       39.12662,    131.47892,     +50.33138,     131.48882,      +50.35940,  2724732.31,  2927716.80,  5068427.28,      51.907628,       -0.497613,   91384.71,  143101.56,    4829.48,             4895.98,     0.35,  62379.39,           60735.09,    -15.46,    -69.92,         103.21,  -0.35,  -1.13
  3,     UK002C,       0,  0.121632, 2459461.677902218420, 132.96933,  50.10785,               54.62275,  38.21887,        54.57862,       38.23430,    132.96933,     +50.10785,     132.98360,      +50.14476,  2722978.76,  2926104.47,  5067558.66,      51.919445,       -0.495128,   89236.02,  142416.53,    7365.03,             7431.53,     3.92,  62482.77,           60735.09,    -20.36,    -92.10,         136.61,  -0.34,  -1.11
  4,     UK002C,       0,  0.162172, 2459461.677902687807, 134.48051,  49.94434,               54.03258,  37.35187,        54.07272,       37.33788,    134.48051,     +49.94434,     134.46758,      +49.91062,  2721237.74,  2924503.65,  5066696.23,      51.931185,       -0.492658,   87102.93,  141777.91,    9882.48,             9948.98,    -8.11,  62098.01,           61237.29,     18.66,     84.17,         125.43,  -0.10,  -0.86

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.