Orbital Analysis for matched events on 20210929_224908.484_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 69.17° Bg 1.98° Vg 65.00km/s
mass 0.00665g, abs. mag 1.0
Path Details
------------
start 2.29° 51.96° 110.26km
end   2.07° 51.95° 101.76km

Orbit Details
-------------
Semimajor axis 15.16A.U., eccentricity 0.97, inclination 175.40°, Period 59.05Y, LA Sun 186.71°, last Perihelion 1962-10-22

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: 2459487.450792639516
Time: 2021-09-29 22:49:08.484054 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0034 and UK003W
 Convergence angle = 54.55861 deg
 R.A. =  66.65449  Dec = +23.87567 deg

Best intersection: Stations UK0034 and UK003W with Qconv = 54.56 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3980911.96 +/- 56.52 m
 Y =   -454313.28 +/- 198.39 m
 Z =   5086685.34 +/- 118.16 m
 Vx =    23395.72 +/- 445.64 m/s
 Vy =    55417.58 +/- 407.59 m/s
 Vz =    27011.51 +/- 303.97 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.407930e+03, +7.699088e+03, +4.785998e+03, +3.751803e+03, +3.170426e+03, +5.359154e+03
+7.699088e+03, +3.930164e+04, +2.370205e+04, -1.552265e+04, +5.599062e+04, +4.868393e+04
+4.785998e+03, +2.370205e+04, +1.460953e+04, -7.948294e+03, +3.463372e+04, +3.133036e+04
+3.751803e+03, -1.552265e+04, -7.948294e+03, +4.285880e+04, -5.157562e+04, -2.934664e+04
+3.170426e+03, +5.599062e+04, +3.463372e+04, -5.157562e+04, +1.295642e+05, +1.084412e+05
+5.359154e+03, +4.868393e+04, +3.133036e+04, -2.934664e+04, +1.084412e+05, +1.006188e+05

Timing offsets (from input data):
    UK0034: 0.002646 s
    UK003W: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 22:49:08.484054 UTC
  Lon     = ++2.291690 +/- 0.0029 deg
  Lat     = +51.956450 +/- 0.0006 deg
  Lat geo = +51.772705 +/- 0.0006 deg
  Ht      =  110256.59 +/- 105.35 m

  JD dynamic   = 2459487.451593380421 
  LST apparent = 353.4894057665 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  67.11192 +/- 0.3070 deg
  Dec       = +24.18206 +/- 0.1457 deg
  Azimuth   =  86.73885 +/- 0.3205 deg
  Elevation = +28.75873 +/- 0.1415 deg
  Vavg      =  63.65474 +/- 0.2462 km/s
  Vinit     =  65.94005 +/- 0.3682 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  67.19003 +/- 0.3070 deg
  Dec       = +24.08265 +/- 0.1457 deg
  Azimuth   =  86.75524 +/- 0.3205 deg
  Elevation = +28.63725 +/- 0.1415 deg
  Vavg      =  63.91062 +/- 0.2462 km/s
  Vinit     =  66.19592 +/- 0.3682 km/s
Radiant (geocentric, J2000):
  R.A.   =  67.14460 +/- 0.3047 deg
  Dec    = +23.77648 +/- 0.1503 deg
  Vg     =  64.99983 +/- 0.3736 km/s
  Vinf   =  65.94005 +/- 0.3682 km/s
  Zc     =  61.25188 +/- 0.1422 deg
  Zg     =  61.73900 +/- 0.1420 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  69.16657 +/- 0.2921 deg
  Bg     =  +1.97657 +/- 0.1240 deg
  Vh     =  41.38753 +/- 0.2690 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  49.10047 +/- 0.5863 deg
  Bh     =  +3.10811 +/- 0.1917 deg
  Vh_x   = -27.05798 +/- 0.2121 km/s
  Vh_y   = -31.23711 +/- 0.4461 km/s
  Vh_z   =  -2.24404 +/- 0.1505 km/s
Orbit:
  La Sun = 186.710000 +/- nan deg
  a      =  15.163359 +/- 3.1759 AU
  e      =   0.970430 +/- 0.0097
  i      = 175.396483 +/- 0.2575 deg
  peri   = 276.963315 +/- 1.8328 deg
  node   = 186.695389 +/- 0.0010 deg
  Pi     = 103.658704 +/- 1.8321 deg
  q      =   0.448381 +/- 0.0129 AU
  f      = 263.021596 +/- 1.8335 deg
  M      = 359.341804 +/- 0.4583 deg
  Q      =  29.878337 +/- 6.3414 AU
  n      =   0.016692 +/- 0.0114 deg/day
  T      =  59.046446 +/- 16.7394 years
  Last perihelion JD = 2437959.793219 (1962-10-22 07:02:14.108372) +/- 6114.3557 days
  Tj     =  -0.478180 +/- 0.1418
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.108192e-04, +1.151355e-04, -6.943658e+01, +1.806775e-07, -3.069347e-04, -4.960475e-05
q   , +1.151355e-04, +1.699461e-04, -7.007080e+01, +1.694795e-07, -4.236875e-04, -4.644731e-05
Tp  , -6.943658e+01, -7.007080e+01, +4.725072e+07, -1.107364e-01, +1.877338e+02, +3.093699e+01
node, +1.806775e-07, +1.694795e-07, -1.107364e-01, +3.159552e-10, -4.626577e-07, -8.613667e-08
peri, -3.069347e-04, -4.236875e-04, +1.877338e+02, -4.626577e-07, +1.068386e-03, +1.268057e-04
i   , -4.960475e-05, -4.644731e-05, +3.093699e+01, -8.613667e-08, +1.268057e-04, +2.357051e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000001
 a2 = 70.023953

Mean time residuals from time vs. length:
  Station with reference time: UK003W
  Avg. res. = 1.572e-05 s
  Stddev    = 3.96e-03 s

Begin point on the trajectory:
  Lon =     2.291791 +/- 0.0021 deg
  Lat =    51.956454 +/- 0.0006 deg
  Ht  = 110260.44 +/- 66.53 m
End point on the trajectory:
  Lon =     2.068858 +/- 0.0011 deg
  Lat =    51.948437 +/- 0.0003 deg
  Ht  = 101763.16 +/- 42.61 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
    UK0034,   False,     1.010397,    52.949859,   25.00,   0.000000,   0.000000,   109641.79,   102223.29,          0.007243,     20.79,      6.97,              46.21, 1.0000,    True,    True, {"ff_name": "FF_UK0034_20210929_224904_931_0416512.fits"}
    UK003W,   False,     0.164950,    51.426540,   67.00,   0.000000,   0.000000,   110260.44,   101763.16,          0.021489,     39.53,     59.00,              16.82, 1.0000,    True,    True, {"ff_name": "FF_UK003W_20210929_224905_291_0412672.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,     UK0034,       0,  0.019336, 2459487.450792821124,  22.03869,   6.07583,              141.62740,  37.17274,       141.62711,       37.17034,     22.03869,      +6.07583,      22.03988,       +6.07369,  3980458.50,  -455387.38,  5086161.81,      51.955886,       +2.275628,  109641.79,  178838.29,       0.00,             1278.04,   291.78,      0.00,           65188.44,      2.40,      7.14,           8.69,  +3.56,  +2.30
  1,     UK0034,       0,  0.059556, 2459487.450793286785,  21.60831,   5.83526,              142.23824,  37.10947,       142.23995,       37.12248,     21.60831,      +5.83526,      21.60242,       +5.84684,  3979723.60,  -457128.14,  5085313.33,      51.954967,       +2.249529,  108645.78,  177422.49,    2071.30,             3349.33,  -289.03,  51499.18,           65188.44,    -12.89,    -38.40,          47.08,  +3.00,  +1.75
  2,     UK0034,       0,  0.099848, 2459487.450793752912,  20.96704,   5.52195,              143.12642,  37.05226,       143.12566,       37.04689,     20.96704,      +5.52195,      20.96998,       +5.51717,  3978678.12,  -459604.59,  5084106.26,      51.953649,       +2.212458,  107229.72,  175433.48,    5017.97,             6296.00,     0.79,  73132.84,           65188.44,      5.26,     15.70,          19.47,  +2.15,  +0.93
  3,     UK0034,       0,  0.140144, 2459487.450794219505,  20.36659,   5.20200,              143.96908,  36.96865,       143.96910,       36.96875,     20.36659,      +5.20200,      20.36712,       +5.20208,  3977702.28,  -461916.05,  5082979.62,      51.952407,       +2.177833,  105908.90,  173601.49,    7768.31,             9046.35,    94.01,  68253.63,           65188.44,     -0.09,     -0.28,           0.35,  +3.03,  +1.83
  4,     UK0034,       0,  0.180444, 2459487.450794685632,  19.74205,   4.87565,              144.84121,  36.88222,       144.84109,       36.88148,     19.74205,      +4.87565,      19.74314,       +4.87499,  3976712.28,  -464261.09,  5081836.60,      51.951137,       +2.142696,  104569.80,  171768.32,   10558.62,            11836.66,   226.94,  69238.42,           66570.32,      0.71,      2.11,           2.68,  +2.09,  +0.92
  5,     UK0034,       0,  0.220704, 2459487.450795151759,  19.20666,   4.59542,              145.58779,  36.80322,       145.58754,       36.80183,     19.20666,      +4.59542,      19.20823,       +4.59418,  3975880.07,  -466232.34,  5080875.78,      51.950061,       +2.113123,  103444.84,  170246.89,   12904.16,            14182.20,   -82.27,  58259.81,           65778.27,      1.32,      3.95,           5.04,  +2.84,  +1.68
  6,     UK0034,       0,  0.260984, 2459487.450795617886,  18.60997,   4.29403,              146.41382,  36.72059,       146.41150,       36.70813,     18.60997,      +4.29403,      18.61697,       +4.28291,  3974975.88,  -468374.11,  5079831.85,      51.948883,       +2.080996,  102223.29,  168616.01,   15452.61,            16730.64,  -189.89,  63268.23,           65226.46,     11.77,     35.14,          45.34,  +4.55,  +3.42
  0,     UK003W,       0,  0.000000, 2459487.450792639516,  74.11669,  39.45031,               67.32442,  33.88276,        67.32148,       33.87550,     74.11669,     +39.45031,      74.12581,      +39.44729,  3980914.80,  -454306.56,  5086688.62,      51.956454,       +2.291791,  110260.44,  194108.08,       0.00,                8.01,   296.76,      0.00,           61865.92,     21.56,     14.46,          27.58,  +4.16,  +2.72
  1,     UK003W,       0,  0.039864, 2459487.450793100987,  74.18196,  39.66378,               67.09217,  33.98751,        67.07508,       33.94536,     74.18196,     +39.66378,      74.23522,      +39.64628,  3980012.53,  -456443.76,  5085646.91,      51.955329,       +2.259791,  109037.31,  191660.69,    2543.00,             2535.00,   195.12,  63791.99,           61865.92,    123.60,     82.79,         160.10,  +2.65,  +1.24
  2,     UK003W,       0,  0.079820, 2459487.450793563388,  74.34018,  39.85126,               66.82573,  34.02150,        66.82355,       34.01605,     74.34018,     +39.85126,      74.34737,      +39.84898,  3979116.13,  -458567.06,  5084611.98,      51.954202,       +2.227989,  107822.87,  189231.91,    5069.47,             5061.46,    86.88,  63231.13,           61865.92,     15.74,     10.56,          20.66,  +2.53,  +1.15
  3,     UK003W,       0,  0.119696, 2459487.450794024859,  74.41051,  40.05362,               66.59996,  34.11572,        66.58658,       34.08220,     74.41051,     +40.05362,      74.45336,      +40.03963,  3978293.90,  -460514.69,  5083662.67,      51.953161,       +2.198795,  106709.56,  187005.86,    7386.91,             7378.90,  -225.10,  58116.13,           61865.92,     95.74,     64.16,         127.12,  +2.27,  +0.91
  4,     UK003W,       0,  0.159616, 2459487.450794486795,  74.55352,  40.26703,               66.31943,  34.17562,        66.31241,       34.15783,     74.55352,     +40.26703,      74.57668,      +40.25957,  3977367.28,  -462709.58,  5082592.84,      51.951979,       +2.165905,  105455.66,  184501.31,    9998.56,             9990.55,  -245.77,  65422.23,           62248.30,     50.05,     33.56,          67.36,  +2.22,  +0.89
  5,     UK003W,       0,  0.199524, 2459487.450794948731,  74.71615,  40.50860,               66.00143,  34.24299,        66.00128,       34.24261,     74.71615,     +40.50860,      74.71747,      +40.50844,  3976346.68,  -465127.08,  5081414.51,      51.950666,       +2.129684,  104075.51,  181747.47,   12875.09,            12867.08,    -0.78,  72078.90,           63761.97,      1.06,      0.71,           1.45,  +2.21,  +0.91
  6,     UK003W,       0,  0.239408, 2459487.450795410667,  74.85139,  40.75642,               65.69436,  34.33006,        65.69271,       34.32580,     74.85139,     +40.75642,      74.85779,      +40.75463,  3975366.27,  -467449.37,  5080282.58,      51.949393,       +2.094870,  102750.63,  179105.67,   15638.32,            15630.32,   132.50,  69281.87,           64893.56,     11.60,      7.78,          16.09,  +2.34,  +1.07
  7,     UK003W,       0,  0.279328, 2459487.450795872603,  74.96791,  40.94239,               65.45473,  34.38681,        65.45574,       34.38944,     74.96791,     +40.94239,      74.96572,      +40.94350,  3974635.15,  -469181.20,  5079438.46,      51.948437,       +2.068858,  101763.16,  177135.96,   17698.98,            17690.98,  -439.17,  51619.76,           64258.58,     -7.10,     -4.77,           9.96,  +4.09,  +2.85

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.