Orbital Analysis for matched events on 20211015_050733.709_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 89.97° Bg 55.51° Vg 47.56km/s
mass 0.02365g, abs. mag -0.1
best visual mag 0.5
Path Details
------------
start -1.60° 52.75° 104.69km
end   -1.60° 52.72° 97.62km

Orbit Details
-------------
Semimajor axis 8.20A.U., eccentricity 0.89, inclination 82.94°, Period 23.48Y, LA Sun 201.77°, last Perihelion 1998-05-15

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: 2459502.713584599551
Time: 2021-10-15 05:07:33.740703 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002H and UK002Z
 Convergence angle = 58.76512 deg
 R.A. =  95.34980  Dec = +79.22983 deg

Best intersection: Stations UK002H and UK002Z with Qconv = 58.77 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   -631567.27 +/- 24.55 m
 Y =   3881310.41 +/- 39.73 m
 Z =   5138267.21 +/- 37.39 m
 Vx =     -195.19 +/- 203.31 m/s
 Vy =     9649.41 +/- 425.29 m/s
 Vz =    47879.30 +/- 210.40 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.365156e+02, +4.565196e+02, -5.486853e+02, +4.381418e+03, +2.259281e+03, -6.092477e+02
+4.565196e+02, +1.758212e+03, +2.138357e+01, +4.827835e+03, +1.556607e+04, +1.838695e+03
-5.486853e+02, +2.138357e+01, +1.443286e+03, -2.529120e+03, +5.490994e+03, +1.465977e+03
+4.381418e+03, +4.827835e+03, -2.529120e+03, +4.727016e+04, +4.710310e+04, -2.770967e+03
+2.259281e+03, +1.556607e+04, +5.490994e+03, +4.710310e+04, +2.053278e+05, +2.589953e+04
-6.092477e+02, +1.838695e+03, +1.465977e+03, -2.770967e+03, +2.589953e+04, +5.422215e+03

Timing offsets (from input data):
    UK002H: 0.000000 s
    UK002Z: 0.000302 s

Reference point on the trajectory:
  Time: 2021-10-15 05:07:33.740703 UTC
  Lon     = +-1.604410 +/- 0.0004 deg
  Lat     = +52.755416 +/- 0.0003 deg
  Lat geo = +52.572866 +/- 0.0003 deg
  Ht      =  105659.02 +/- 39.15 m

  JD dynamic   = 2459502.714385702740 
  LST apparent = 99.2421729670 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  91.15880 +/- 1.3315 deg
  Dec       = +78.60319 +/- 0.4693 deg
  Azimuth   = 356.36638 +/- 0.6473 deg
  Elevation = +63.99651 +/- 0.4458 deg
  Vavg      =  46.69604 +/- 0.1254 km/s
  Vinit     =  48.84237 +/- 0.1394 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  92.85078 +/- 1.3315 deg
  Dec       = +78.64474 +/- 0.4693 deg
  Azimuth   = 357.13270 +/- 0.6473 deg
  Elevation = +64.01366 +/- 0.4458 deg
  Vavg      =  46.68892 +/- 0.1254 km/s
  Vinit     =  48.83524 +/- 0.1394 km/s
Radiant (geocentric, J2000):
  R.A.   =  89.90159 +/- 1.3721 deg
  Dec    = +78.95032 +/- 0.4800 deg
  Vg     =  47.56439 +/- 0.1432 km/s
  Vinf   =  48.84237 +/- 0.1394 km/s
  Zc     =  26.18567 +/- 0.4459 deg
  Zg     =  26.53896 +/- 0.4543 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  89.96669 +/- 0.4384 deg
  Bg     = +55.51264 +/- 0.4821 deg
  Vh     =  40.87854 +/- 0.0938 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 356.97373 +/- 2.0904 deg
  Bh     = +73.55346 +/- 0.2854 deg
  Vh_x   = -11.55741 +/- 0.2013 km/s
  Vh_y   =   0.61101 +/- 0.4079 km/s
  Vh_z   = -39.20597 +/- 0.1162 km/s
Orbit:
  La Sun = 201.773402 +/- 0.0000 deg
  a      =   8.199205 +/- 0.7473 AU
  e      =   0.886927 +/- 0.0078
  i      =  82.940994 +/- 0.4907 deg
  peri   = 211.737008 +/- 1.0262 deg
  node   = 201.775508 +/- 0.0000 deg
  Pi     =  53.512516 +/- 1.0262 deg
  q      =   0.927105 +/- 0.0040 AU
  f      = 328.262841 +/- 1.0262 deg
  M      = 359.077112 +/- 0.1091 deg
  Q      =  15.471305 +/- 1.4916 AU
  n      =   0.041980 +/- 0.0042 deg/day
  T      =  23.477845 +/- 3.4270 years
  Last perihelion JD = 2450949.265861 (1998-05-15 18:22:50.411396) +/- 1252.2768 days
  Tj     =   0.777228 +/- 0.0348
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +6.899530e-05, +2.904725e-05, -1.105511e+01, +1.130752e-08, -7.674584e-03, -4.278098e-03
q   , +2.904725e-05, +1.929233e-05, -4.588523e+00, +4.412815e-09, -4.937345e-03, -1.668888e-03
Tp  , -1.105511e+01, -4.588523e+00, +1.781526e+06, -1.818044e-03, +1.214741e+03, +6.878132e+02
node, +1.130752e-08, +4.412815e-09, -1.818044e-03, +1.880851e-12, -1.174563e-06, -7.117416e-07
peri, -7.674584e-03, -4.937345e-03, +1.214741e+03, -1.174563e-06, +1.266073e+00, +4.442222e-01
i   , -4.278098e-03, -1.668888e-03, +6.878132e+02, -7.117416e-07, +4.442222e-01, +2.693413e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.010069
 a2 = 52.369754

Mean time residuals from time vs. length:
  Station with reference time: UK002H
  Avg. res. = 1.328e-06 s
  Stddev    = 1.15e-03 s

Begin point on the trajectory:
  Lon =    -1.603973 +/- 0.0003 deg
  Lat =    52.751247 +/- 0.0002 deg
  Ht  = 104690.33 +/- 25.33 m
End point on the trajectory:
  Lon =    -1.601502 +/- 0.0004 deg
  Lat =    52.720759 +/- 0.0003 deg
  Ht  = 97616.49 +/- 35.42 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,   104411.65,    97616.49,          0.023813,     55.95,      1.24,              63.01, 1.0000,    True,    True, {"ff_name": "FF_UK002H_20211015_050729_938_1015040.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.000422,  69.594004,   104690.33,    97894.90,          0.010460,     16.18,     23.95,              69.03, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20211015_050731_327_1027072.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, 2459502.713584599551, 123.36302,  17.64997,              141.92928,  49.35528,       142.00605,       49.36950,    123.36302,     +17.64997,     123.30872,      +17.64381,  -631567.37,  3881315.27,  5138291.34,      52.755512,       -1.604289,  105681.14,  138397.46,       0.00,               24.62,   612.14,      0.00,           44713.10,      3.08,    125.53,         187.14,  +6.35,  +5.64
  1,     UK002H,       0,  0.040448, 2459502.713585067540, 123.37849,  17.12644,              142.21568,  48.86625,       142.22921,       48.86875,    123.37849,     +17.12644,     123.36892,      +17.12535,  -631561.73,  3881036.21,  5136906.67,      52.750047,       -1.603886,  104411.65,  137753.77,    1412.51,             1387.90,    -0.15,  34921.73,           44713.10,      0.52,     22.22,          33.28,  +1.44,  +0.74
  2,     UK002H,       0,  0.081080, 2459502.713585537858, 123.45023,  16.38461,              142.54553,  48.15401,       142.53768,       48.15256,    123.45023,     +16.38461,     123.45607,      +16.38525,  -631553.76,  3880642.41,  5134952.66,      52.742332,       -1.603249,  102620.25,  136866.89,    3405.83,             3381.22,     8.60,  49057.88,           44713.10,     -0.30,    -12.97,          19.56,  +0.74,  +0.06
  3,     UK002H,       0,  0.121716, 2459502.713586008176, 123.53748,  15.64116,              142.84603,  47.43359,       142.83905,       47.43230,    123.53748,     +15.64116,     123.54291,      +15.64173,  -631545.86,  3880251.81,  5133014.54,      52.734676,       -1.602618,  100843.52,  136010.31,    5382.94,             5358.32,     0.95,  48653.99,           44713.10,     -0.27,    -11.61,          17.61,  +0.63,  -0.04
  4,     UK002H,       0,  0.162360, 2459502.713586478494, 123.63002,  14.88599,              143.13696,  46.69944,       143.13699,       46.69945,    123.63002,     +14.88599,     123.63054,      +14.88599,  -631537.93,  3879859.72,  5131069.03,      52.726987,       -1.601983,   99060.13,  135174.10,    7367.58,             7342.96,     0.44,  48829.86,           46076.82,      0.00,      0.06,           0.08,  +0.49,  -0.16
  5,     UK002H,       0,  0.202900, 2459502.713586947881, 123.64703,  14.26146,              143.44838,  46.11276,       143.37599,       46.09943,    123.64703,     +14.26146,     123.70097,      +14.26748,  -631531.51,  3879542.31,  5129494.10,      52.720759,       -1.601502,   97616.49,  134513.90,    8974.19,             8949.57,  -373.02,  39630.24,           45546.27,     -2.70,   -121.88,         186.93,  +1.54,  +0.90
  0,     UK002Z,       0,  0.034936, 2459502.713584961835,  68.15022,  11.11784,              223.51974,  40.38443,       223.51807,       40.38489,     68.15022,     +11.11784,      68.15159,      +11.11773,  -631562.97,  3881097.47,  5137210.64,      52.751247,       -1.603973,  104690.33,  159770.03,       0.00,             1077.82,   -40.99,      0.00,           48727.26,      3.13,     -2.11,           4.88,  +1.87,  +0.85
  1,     UK002Z,       0,  0.075332, 2459502.713585429359,  68.07307,  10.41309,              223.22732,  39.71189,       223.20906,       39.71692,     68.07307,     +10.41309,      68.08836,      +10.41185,  -631554.52,  3880680.15,  5135139.91,      52.743072,       -1.603287,  102791.92,  159011.76,    2112.38,             3190.20,    98.35,  52291.73,           48727.26,     34.32,    -23.17,          53.71,  +1.27,  +0.26
  2,     UK002Z,       0,  0.115680, 2459502.713585896417,  68.01769,   9.78260,              222.95507,  39.11502,       222.93859,       39.11955,     68.01769,      +9.78260,      68.03174,       +9.78147,  -631547.05,  3880310.77,  5133307.11,      52.735832,       -1.602698,  101111.73,  158361.75,    3982.04,             5059.86,    -2.68,  46338.48,           48727.26,     31.06,    -20.98,          48.82,  +1.14,  +0.14
  3,     UK002Z,       0,  0.156040, 2459502.713586363476,  67.97204,   9.11818,              222.65874,  38.49041,       222.65874,       38.49041,     67.97204,      +9.11818,      67.97255,       +9.11818,  -631539.26,  3879925.30,  5131394.47,      52.728273,       -1.602076,   99358.44,  157703.93,    5933.15,             7010.97,   -22.84,  48342.71,           48727.26,     -0.01,      0.00,           0.01,  +1.05,  +0.06
  4,     UK002Z,       0,  0.196360, 2459502.713586830068,  67.90982,   8.56120,              222.44188,  37.95657,       222.42778,       37.96044,     67.90982,      +8.56120,      67.92236,       +8.56023,  -631532.75,  3879603.53,  5129797.84,      52.721960,       -1.601585,   97894.90,  157172.19,    7561.90,             8639.72,  -363.42,  40395.51,           46944.72,     26.77,    -18.08,          42.39,  +1.47,  +0.49

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.