Orbital Analysis for matched events on 20210929_001247.352_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 124.80° Bg 20.39° Vg 62.96km/s
mass 0.01171g, abs. mag 0.5
Path Details
------------
start -3.02° 52.90° 100.56km
end   -3.25° 52.74° 94.84km

Orbit Details
-------------
Semimajor axis 46.40A.U., eccentricity 0.99, inclination 134.93°, Period 316.10Y, LA Sun 185.78°, last Perihelion 2021-08-21

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: 2459486.508881390095
Time: 2021-09-29 00:12:47.352104 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0029 and UK003T
 Convergence angle = 32.06275 deg
 R.A. = 132.94859  Dec = +39.16271 deg

Best intersection: Stations UK0029 and UK003T with Qconv = 32.06 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3876842.30 +/- 92.92 m
 Y =    555721.77 +/- 76.26 m
 Z =   5143920.19 +/- 69.45 m
 Vx =   -33887.23 +/- 121.70 m/s
 Vy =    36087.61 +/- 643.70 m/s
 Vz =    40451.20 +/- 921.04 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.932749e+03, -4.418210e+03, +3.812827e+03, +7.027258e+03, -4.029726e+03, +2.344075e+04
-4.418210e+03, +4.421374e+03, -3.684494e+03, -6.035215e+03, +6.274161e+03, -1.855386e+04
+3.812827e+03, -3.684494e+03, +3.500591e+03, +5.869545e+03, -4.849621e+03, +1.612623e+04
+7.027258e+03, -6.035215e+03, +5.869545e+03, +2.354865e+04, -1.777486e+04, +9.481737e+03
-4.029726e+03, +6.274161e+03, -4.849621e+03, -1.777486e+04, +3.961901e+04, +2.958295e+04
+2.344075e+04, -1.855386e+04, +1.612623e+04, +9.481737e+03, +2.958295e+04, +2.279119e+05

Timing offsets (from input data):
    UK0029: 0.004104 s
    UK003T: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 00:12:47.352104 UTC
  Lon     = +-3.023827 +/- 0.0013 deg
  Lat     = +52.897583 +/- 0.0002 deg
  Lat geo = +52.715140 +/- 0.0002 deg
  Ht      =  100559.17 +/- 103.34 m

  JD dynamic   = 2459486.509682131000 
  LST apparent = 8.1574328663 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 133.19891 +/- 0.1725 deg
  Dec       = +39.25321 +/- 0.4660 deg
  Azimuth   =  40.73008 +/- 0.1792 deg
  Elevation = +13.67685 +/- 0.4520 deg
  Vavg      =  61.04069 +/- 0.4144 km/s
  Vinit     =  63.92933 +/- 0.8199 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 133.01001 +/- 0.1725 deg
  Dec       = +39.12083 +/- 0.4660 deg
  Azimuth   =  40.92910 +/- 0.1792 deg
  Elevation = +13.63739 +/- 0.4520 deg
  Vavg      =  61.22213 +/- 0.4144 km/s
  Vinit     =  64.11078 +/- 0.8199 km/s
Radiant (geocentric, J2000):
  R.A.   = 133.30159 +/- 0.1813 deg
  Dec    = +38.74100 +/- 0.4844 deg
  Vg     =  62.95757 +/- 0.8324 km/s
  Vinf   =  63.92933 +/- 0.8199 km/s
  Zc     =  76.46143 +/- 0.4517 deg
  Zg     =  77.15278 +/- 0.4727 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 124.79882 +/- 0.2755 deg
  Bg     = +20.38889 +/- 0.4336 deg
  Vh     =  41.85511 +/- 0.7726 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 147.91838 +/- 0.7802 deg
  Bh     = +31.60740 +/- 0.5595 deg
  Vh_x   =  30.20283 +/- 0.2185 km/s
  Vh_y   = -18.93270 +/- 0.6670 km/s
  Vh_z   = -21.93609 +/- 0.7130 km/s
Orbit:
  La Sun = 185.784865 +/- nan deg
  a      =  46.403487 +/- 62.7615 AU
  e      =   0.988227 +/- 0.0414
  i      = 134.927142 +/- 0.3499 deg
  peri   =  94.882822 +/- 3.6599 deg
  node   = 185.784538 +/- 0.0000 deg
  Pi     = 280.667360 +/- 3.6599 deg
  q      =   0.546294 +/- 0.0230 AU
  f      =  85.115559 +/- 3.6599 deg
  M      =   0.121626 +/- nan deg
  Q      =  92.260681 +/- 125.5274 AU
  n      =   0.003118 +/- 0.0194 deg/day
  T      = 316.101506 +/- 442216544.2075 years
  Last perihelion JD = 2459447.502058 (2021-08-21 00:02:57.818187) +/- 0.4941 days
  Tj     =  -0.533098 +/- 0.4027
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.552572e-04, +1.869501e-04, +7.005799e-03, +9.392301e-10, +5.133944e-04, -2.336810e-05
q   , +1.869501e-04, +1.616174e-04, +5.265636e-03, +1.630397e-09, +4.265571e-04, -4.095457e-05
Tp  , +7.005799e-03, +5.265636e-03, +1.930211e-01, +3.070299e-08, +1.436612e-02, -7.659687e-04
node, +9.392301e-10, +1.630397e-09, +3.070299e-08, +7.766797e-14, +3.806416e-09, -1.957324e-09
peri, +5.133944e-04, +4.265571e-04, +1.436612e-02, +3.806416e-09, +1.136259e-03, -9.551623e-05
i   , -2.336810e-05, -4.095457e-05, -7.659687e-04, -1.957324e-09, -9.551623e-05, +4.933070e-05

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: UK003T
  Avg. res. = 1.350e-06 s
  Stddev    = 1.16e-03 s

Begin point on the trajectory:
  Lon =    -3.023754 +/- 0.0013 deg
  Lat =    52.897634 +/- 0.0002 deg
  Ht  = 100561.04 +/- 103.66 m
End point on the trajectory:
  Lon =    -3.251146 +/- 0.0013 deg
  Lat =    52.738394 +/- 0.0012 deg
  Ht  = 94835.58 +/- 134.85 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
    UK0029,   False,    -4.441783,    52.004778,  230.00,   4.784686,  11.590202,    99506.29,    94835.58,          0.024038,     63.31,     20.01,              22.82, 1.0000,    True,    True, {"ff_name": "FF_UK0029_20210929_001245_992_0014080.fits"}
    UK003T,   False,    -1.740490,    53.069201,  240.00,   0.000000,   0.000000,   100561.04,    96591.59,          0.011790,     27.20,      7.31,             109.66, 1.0000,    True,   False, {"ff_name": "FF_UK003T_20210929_001241_837_0517120.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,     UK0029,       0,  0.088503, 2459486.508882646449, 107.22087,  55.21831,               43.68019,  35.68843,        43.69275,       35.68664,    107.22087,     +55.21831,     107.21174,      +55.20951,  3879205.60,   553205.01,  5141099.11,      52.868530,       -3.065612,   99506.29,  167726.81,       0.00,             4458.45,   -53.34,      0.00,           64117.15,      9.18,     28.90,          37.29,  +3.19,  +2.07
  1,     UK0029,       0,  0.128207, 2459486.508883106057, 106.68282,  55.40730,               43.75679,  36.04286,        43.76623,       36.04152,    106.68282,     +55.40730,     106.67633,      +55.40069,  3880579.50,   551741.90,  5139459.09,      52.851630,       -3.089786,   98895.52,  165347.40,    2591.90,             7050.35,     0.31,  65280.63,           64117.15,      6.77,     21.32,          27.90,  +1.86,  +0.77
  2,     UK0029,       0,  0.167891, 2459486.508883565199, 106.14196,  55.62440,               43.80442,  36.41627,        43.84344,       36.41074,    106.14196,     +55.62440,     106.11366,      +55.59708,  3881968.48,   550262.73,  5137801.07,      52.834535,       -3.114210,   98279.02,  162948.75,    5212.26,             9670.71,    83.70,  66030.52,           64117.15,     27.34,     86.44,         114.76,  +2.53,  +1.47
  3,     UK0029,       0,  0.207599, 2459486.508884024806, 105.60768,  55.80819,               43.87608,  36.76417,        43.91649,       36.75846,    105.60768,     +55.80819,     105.57888,      +55.77989,  3883239.88,   548908.77,  5136283.39,      52.818880,       -3.136567,   97715.57,  160758.87,    7610.80,            12069.25,   -56.27,  60404.47,           64117.15,     27.80,     87.95,         118.34,  +2.31,  +1.28
  4,     UK0029,       0,  0.247267, 2459486.508884483948, 104.97983,  56.01387,               43.96522,  37.16550,        44.00224,       37.16026,    104.97983,     +56.01387,     104.95410,      +55.98794,  3884668.21,   547387.70,  5134578.40,      52.801285,       -3.161649,   97083.56,  158306.96,   10305.39,            14763.84,   102.37,  67928.48,           64571.26,     24.95,     78.94,         107.87,  +2.06,  +1.06
  5,     UK0029,       0,  0.286987, 2459486.508884944022, 104.45336,  56.18455,               44.03772,  37.50021,        44.07362,       37.49514,    104.45336,     +56.18455,     104.42894,      +56.15940,  3885824.73,   546156.08,  5133197.85,      52.787032,       -3.181979,   96572.57,  156326.43,   12487.20,            16945.65,  -255.09,  54929.96,           63322.73,     23.79,     75.28,         104.17,  +2.51,  +1.54
  6,     UK0029,       0,  0.326627, 2459486.508885402698, 103.73523,  56.38333,               44.16419,  37.93426,        44.16923,       37.93355,    103.73523,     +56.38333,     103.73314,      +56.37980,  3887297.83,   544587.32,  5131439.41,      52.768869,       -3.207813,   95922.73,  153813.70,   15266.25,            19724.70,   -10.19,  70107.23,           63602.81,      3.27,     10.33,          14.53,  +2.44,  +1.51
  7,     UK0029,       0,  0.366363, 2459486.508885862306, 103.26787,  56.56189,               44.19454,  38.24723,        44.23569,       38.24142,    103.26787,     +56.56189,     103.24091,      +56.53308,  3888302.55,   543517.37,  5130240.08,      52.756476,       -3.225476,   95480.10,  152103.36,   17161.68,            21620.13,  -655.07,  47700.43,           62392.76,     26.23,     83.13,         118.21,  +2.60,  +1.69
  8,     UK0029,       0,  0.405995, 2459486.508886320982, 102.48449,  56.74841,               44.35123,  38.70017,        44.33821,       38.70203,    102.48449,     +56.74841,     102.49510,      +56.75753,  3889767.78,   541956.99,  5128491.03,      52.738394,       -3.251146,   94835.58,  149620.27,   19925.89,            24384.34,  -424.50,  69747.06,           62317.73,     -8.16,    -25.72,          37.20,  +3.25,  +2.38
  9,     UK0029,       1,  0.485367, 2459486.508887239732, 101.37141,  57.17871,               44.39305,  39.44335,        44.50040,       39.42842,    101.37141,     +57.17871,     101.30260,      +57.10377,  3891981.53,   539599.50,  5125848.48,      52.711059,       -3.289981,   93863.81,  145885.29,   24102.20,            28560.65, -1322.39,  52616.85,           61143.04,     64.08,    204.70,         303.27,  +5.88,  +5.06
  0,     UK003T,       0,  0.000000, 2459486.508881390095, 319.88530,  30.73011,              258.02835,  48.03187,       258.02152,       48.03539,    319.88530,     +30.73011,     319.89197,      +30.72956,  3876838.11,   555726.23,  5143925.19,      52.897634,       -3.023754,  100561.04,  134090.97,       0.00,                7.90,  1154.04,      0.00,           55843.42,     -3.49,     13.02,          20.74,  +4.43,  +3.79
  1,     UK003T,       0,  0.040480, 2459486.508881858550, 319.80840,  30.03551,              257.39750,  47.47779,       257.39468,       47.47923,    319.80840,     +30.03551,     319.81132,      +30.03528,  3877759.00,   554745.54,  5142825.92,      52.886317,       -3.040033,  100150.43,  134695.17,    1737.30,             1729.39,   287.67,  42917.40,           55843.42,     -1.45,      5.43,           8.60,  +3.46,  +2.81
  2,     UK003T,       0,  0.081188, 2459486.508882329799, 319.68693,  29.01944,              256.50877,  46.65490,       256.49894,       46.65990,    319.68693,     +29.01944,     319.69683,      +29.01865,  3879123.88,   553292.03,  5141196.66,      52.869535,       -3.064069,   99542.66,  135623.39,    4312.19,             4304.28,   260.12,  63252.75,           55843.42,     -5.15,     19.20,          30.24,  +2.20,  +1.54
  3,     UK003T,       0,  0.121840, 2459486.508882800117, 319.56377,  28.08967,              255.73249,  45.88792,       255.70220,       45.90322,    319.56377,     +28.08967,     319.59368,      +28.08725,  3880391.05,   551942.59,  5139684.05,      52.853948,       -3.086384,   98979.24,  136523.75,    6702.73,             6694.83,    51.81,  58805.07,           55843.42,    -16.11,     59.94,          93.78,  +1.62,  +0.94
  4,     UK003T,       0,  0.162500, 2459486.508883270901, 319.47039,  27.12064,              254.91481,  45.10219,       254.89678,       45.11123,    319.47039,     +27.12064,     319.48853,      +27.11920,  3881726.41,   550520.52,  5138090.03,      52.837515,       -3.109877,   98386.39,  137511.03,    9221.93,             9214.03,   -28.36,  61957.64,           57610.40,     -9.72,     36.18,          56.19,  +1.57,  +0.88
  5,     UK003T,       0,  0.203172, 2459486.508883741684, 319.37643,  26.12101,              254.09404,  44.28616,       254.08904,       44.28865,    319.37643,     +26.12101,     319.38211,      +26.12061,  3883124.70,   549031.43,  5136420.89,      52.820299,       -3.134455,   97766.58,  138586.29,   11859.86,            11851.95,     9.43,  64858.48,           59151.24,     -2.73,     10.17,          15.67,  +1.54,  +0.83
  6,     UK003T,       0,  0.243824, 2459486.508884212002, 319.27829,  25.15577,              253.33158,  43.48768,       253.32989,       43.48852,    319.27829,     +25.15577,     319.28094,      +25.15564,  3884497.12,   547569.90,  5134782.63,      52.803393,       -3.158567,   97159.21,  139682.46,   14448.97,            14441.06,    -0.31,  63689.70,           60187.55,     -0.93,      3.48,           5.32,  +1.43,  +0.70
  7,     UK003T,       0,  0.284424, 2459486.508884681854, 319.17931,  24.26684,              252.65673,  42.74228,       252.64803,       42.74656,    319.17931,     +24.26684,     319.18890,      +24.26614,  3885781.68,   546201.93,  5133249.25,      52.787563,       -3.181134,   96591.59,  140744.60,   16872.34,            16864.43,  -172.47,  59688.86,           60577.66,     -4.90,     18.25,          27.70,  +1.51,  +0.77

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.