Orbital Analysis for matched events on 20210929_203325.524_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 72.27° Bg 80.18° Vg 24.06km/s
mass 0.00821g, abs. mag 2.1
Path Details
------------
start -4.21° 50.66° 94.09km
end   -4.20° 50.64° 88.83km

Orbit Details
-------------
Semimajor axis 1.68A.U., eccentricity 0.41, inclination 42.36°, Period 2.17Y, LA Sun 186.62°, last Perihelion 2019-08-08

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: 2459487.356545424089
Time: 2021-09-29 20:33:25.577427 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000T and UK0024
 Convergence angle = 34.53613 deg
 R.A. = 282.31519  Dec = +71.65855 deg

Best intersection: Stations UK000T and UK0024 with Qconv = 34.54 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2801937.69 +/- 16.30 m
 Y =  -3008325.55 +/- 138.78 m
 Z =   4984136.21 +/- 65.71 m
 Vx =     1856.15 +/- 117.64 m/s
 Vy =    -6751.16 +/- 473.06 m/s
 Vz =    25555.96 +/- 431.54 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.829930e+02, +4.857291e+02, -2.589356e+02, +1.482075e+03, +3.264163e+03, -5.297949e+02
+4.857291e+02, +1.907550e+04, -8.938204e+03, +3.531644e+03, +8.201683e+04, -1.062576e+04
-2.589356e+02, -8.938204e+03, +4.279637e+03, -1.874317e+03, -3.865290e+04, +5.009952e+03
+1.482075e+03, +3.531644e+03, -1.874317e+03, +8.807147e+03, +2.403490e+04, -3.254737e+03
+3.264163e+03, +8.201683e+04, -3.865290e+04, +2.403490e+04, +4.049310e+05, -6.356916e+04
-5.297949e+02, -1.062576e+04, +5.009952e+03, -3.254737e+03, -6.356916e+04, +1.625443e+04

Timing offsets (from input data):
    UK000T: -0.000906 s
    UK0024: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 20:33:25.577427 UTC
  Lon     = +-4.210406 +/- 0.0014 deg
  Lat     = +50.669150 +/- 0.0003 deg
  Lat geo = +50.483147 +/- 0.0003 deg
  Ht      =   95404.76 +/- 113.37 m

  JD dynamic   = 2459487.357346775942 
  LST apparent = 312.9656371940 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 285.37293 +/- 1.3889 deg
  Dec       = +74.67840 +/- 1.1762 deg
  Azimuth   = 344.11674 +/- 2.5932 deg
  Elevation = +63.43555 +/- 0.5368 deg
  Vavg      =  26.41691 +/- 0.3608 km/s
  Vinit     =  26.49775 +/- 0.2796 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 287.58997 +/- 1.3889 deg
  Dec       = +74.95762 +/- 1.1762 deg
  Azimuth   = 345.52034 +/- 2.5932 deg
  Elevation = +63.58760 +/- 0.5368 deg
  Vavg      =  26.38190 +/- 0.3608 km/s
  Vinit     =  26.46273 +/- 0.2796 km/s
Radiant (geocentric, J2000):
  R.A.   = 282.08059 +/- 1.2747 deg
  Dec    = +75.62171 +/- 1.2629 deg
  Vg     =  24.05711 +/- 0.3069 km/s
  Vinf   =  26.49775 +/- 0.2796 km/s
  Zc     =  26.74339 +/- 0.5394 deg
  Zg     =  28.05839 +/- 0.5919 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  72.26507 +/- 3.0735 deg
  Bg     = +80.17659 +/- 1.2507 deg
  Vh     =  35.24994 +/- 0.6150 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 281.40089 +/- 0.3190 deg
  Bh     = +42.26244 +/- 0.1620 deg
  Vh_x   =  -5.15678 +/- 0.0852 km/s
  Vh_y   =  25.57274 +/- 0.5145 km/s
  Vh_z   = -23.70655 +/- 0.3736 km/s
Orbit:
  La Sun = 186.617407 +/- -0.0000 deg
  a      =   1.677483 +/- 0.1960 AU
  e      =   0.406852 +/- 0.0497
  i      =  42.361903 +/- 0.1685 deg
  peri   = 192.265536 +/- 1.3185 deg
  node   = 186.618707 +/- 0.0000 deg
  Pi     =  18.884243 +/- 1.3185 deg
  q      =   0.994996 +/- 0.0010 AU
  f      = 347.732137 +/- 1.3185 deg
  M      = 355.254173 +/- 0.8715 deg
  Q      =   2.359969 +/- 0.3912 AU
  n      =   0.453646 +/- 0.0532 deg/day
  T      =   2.172640 +/- 0.4154 years
  Last perihelion JD = 2458704.248424 (2019-08-08 17:57:43.866198) +/- 152.9192 days
  Tj     =   3.868857 +/- 0.2469
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.526902e-03, +4.486332e-05, -7.640353e+00, +5.205600e-09, -1.117572e-03, -8.533568e-05
q   , +4.486332e-05, +9.514024e-07, -1.374388e-01, +9.234597e-11, -2.255632e-05, -1.513206e-06
Tp  , -7.640353e+00, -1.374388e-01, +2.344432e+04, -1.725531e-05, +3.406392e+00, +2.827844e-01
node, +5.205600e-09, +9.234597e-11, -1.725531e-05, +2.866576e-14, -2.283267e-09, -4.689473e-10
peri, -1.117572e-03, -2.255632e-05, +3.406392e+00, -2.283267e-09, +5.419683e-04, +3.741948e-05
i   , -8.533568e-05, -1.513206e-06, +2.827844e-01, -4.689473e-10, +3.741948e-05, +7.671612e-06

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: UK0024
  Avg. res. = 2.274e-05 s
  Stddev    = 4.77e-03 s

Begin point on the trajectory:
  Lon =    -4.207891 +/- 0.0009 deg
  Lat =    50.663534 +/- 0.0004 deg
  Ht  = 94086.53 +/- 43.16 m
End point on the trajectory:
  Lon =    -4.198819 +/- 0.0008 deg
  Lat =    50.641120 +/- 0.0002 deg
  Ht  = 88831.18 +/- 63.66 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
    UK000T,   False,    -3.557111,    51.483925,   37.50,   6.056749,   0.000000,    94086.53,    89291.76,          0.020924,     49.30,     10.73,              65.96, 1.0000,    True,    True, {"ff_name": "FF_UK000T_20210929_203319_556_0185856.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,  53.788498,   0.000006,    93579.51,    88831.18,          0.003961,      8.93,      0.88,              47.35, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20210929_203319_027_0190720.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,     UK000T,       0,  0.052098, 2459487.356546035036, 293.89375,   6.34388,              206.82961,  41.99458,       206.80606,       42.00054,    293.89375,      +6.34388,     293.91256,       +6.34465,  2801834.45, -3007950.04,  4982714.74,      50.663534,       -4.207891,   94086.53,  139316.13,       0.00,             1473.85,    31.02,      0.00,           25429.42,      9.56,     43.94,          66.58,  +3.83,  +3.11
  1,     UK000T,       0,  0.092638, 2459487.356546504423, 293.89914,   5.94369,              206.67138,  41.61213,       206.63933,       41.62024,    293.89914,      +5.94369,     293.92493,       +5.94475,  2801761.42, -3007684.39,  4981709.15,      50.659560,       -4.206282,   93154.00,  138941.53,    1042.65,             2516.50,    -0.55,  25718.98,           25429.42,     13.04,     59.93,          91.05,  +2.70,  +1.99
  2,     UK000T,       0,  0.133166, 2459487.356546973344, 293.92790,   5.55234,              206.48856,  41.24446,       206.47793,       41.24715,    293.92790,      +5.55234,     293.93693,       +5.55270,  2801690.19, -3007425.33,  4980728.51,      50.655683,       -4.204716,   92244.62,  138582.87,    2059.43,             3533.28,   -57.67,  25088.29,           25429.42,      4.34,     19.94,          30.37,  +2.40,  +1.69
  3,     UK000T,       0,  0.173710, 2459487.356547442731, 293.93809,   5.15006,              206.32725,  40.86087,       206.31413,       40.86419,    293.93809,      +5.15006,     293.94931,       +5.15050,  2801617.50, -3007160.95,  4979727.69,      50.651725,       -4.203115,   91316.54,  138223.47,    3097.13,             4570.98,   -94.29,  25594.52,           25429.42,      5.37,     24.66,          37.66,  +2.18,  +1.48
  4,     UK000T,       0,  0.214358, 2459487.356547913048, 293.94793,   4.66728,              206.13908,  40.39959,       206.11893,       40.40469,    293.94793,      +4.66728,     293.96503,       +4.66796,  2801530.77, -3006845.51,  4978533.63,      50.647002,       -4.201172,   90209.31,  137802.90,    4335.20,             5809.05,    66.70,  30458.30,           26443.11,      8.26,     37.99,          58.19,  +2.05,  +1.35
  5,     UK000T,       0,  0.254898, 2459487.356548382435, 294.01101,   4.26730,              205.91631,  40.03217,       205.95932,       40.02130,    294.01101,      +4.26730,     293.97733,       +4.26584,  2801458.91, -3006584.11,  4977544.11,      50.643086,       -4.199590,   89291.76,  137462.48,    5361.18,             6835.03,    18.46,  25307.84,           26570.14,    -17.72,    -81.31,         124.87,  +3.12,  +2.43
  0,     UK0024,       1,  0.000000, 2459487.356545424089, 264.77557,  26.40185,              255.88275,  45.42956,       255.88165,       45.43013,    264.77557,     +26.40185,     264.77663,      +26.40173,  2801937.87, -3008326.18,  4984138.60,      50.669160,       -4.210189,   95406.97,  132871.70,       0.00,                2.47,   -59.89,      0.00,           27398.42,     -0.22,      2.21,           3.44,  +6.59,  +5.97
  1,     UK0024,       1,  0.040176, 2459487.356545889284, 264.77994,  26.06745,              255.55454,  45.18759,       255.60867,       45.15997,    264.77994,     +26.06745,     264.72806,      +26.07318,  2801867.79, -3008071.28,  4983173.68,      50.665348,       -4.208651,   94512.14,  132231.24,    1000.47,              998.00,  -128.94,  24902.19,           27398.42,     10.53,   -108.20,         169.57,  +6.53,  +5.92
  2,     UK0024,       0,  0.080420, 2459487.356546354946, 264.67414,  25.72773,              255.32708,  44.87353,       255.32404,       44.87507,    264.67414,     +25.72773,     264.67739,      +25.72741,  2801794.74, -3007805.61,  4982168.00,      50.661373,       -4.207040,   93579.51,  131568.13,    2043.22,             2040.74,  -152.57,  25910.57,           27398.42,     -0.59,      6.04,           9.52,  +3.53,  +2.93
  3,     UK0024,       0,  0.120684, 2459487.356546821073, 264.61125,  25.29790,              254.97727,  44.51836,       254.97328,       44.52038,    264.61125,     +25.29790,     264.61559,      +25.29747,  2801704.85, -3007478.67,  4980930.41,      50.656481,       -4.205018,   92431.85,  130756.99,    3326.42,             3323.94,    63.72,  31869.65,           27398.42,     -0.78,      7.92,          12.56,  +3.04,  +2.46
  4,     UK0024,       0,  0.160908, 2459487.356547286268, 264.56890,  24.92871,              254.66962,  44.21935,       254.67698,       44.21563,    264.56890,     +24.92871,     264.56251,      +24.92949,  2801628.85, -3007202.22,  4979883.93,      50.652343,       -4.203335,   91461.43,  130078.25,    4411.46,             4408.99,    82.93,  26975.16,           27711.55,      1.43,    -14.58,          23.24,  +2.75,  +2.18
  5,     UK0024,       0,  0.201120, 2459487.356547751930, 264.51727,  24.59210,              254.40429,  43.93798,       254.40871,       43.93575,    264.51727,     +24.59210,     264.51386,      +24.59257,  2801559.98, -3006951.73,  4978935.72,      50.648593,       -4.201825,   90582.16,  129468.77,    5394.61,             5392.14,     0.55,  24449.14,           27335.19,      0.86,     -8.74,          13.99,  +3.13,  +2.57
  6,     UK0024,       0,  0.241336, 2459487.356548217125, 264.46425,  24.24599,              254.13429,  43.64791,       254.13541,       43.64734,    264.46425,     +24.24599,     264.46418,      +24.24610,  2801489.82, -3006696.56,  4977969.80,      50.644771,       -4.200283,   89686.48,  128852.47,    6396.13,             6393.65,   -63.57,  24903.34,           26940.30,      0.22,     -2.21,           3.55,  +2.99,  +2.44
  7,     UK0024,       0,  0.281544, 2459487.356548682787, 264.41069,  23.91257,              253.87927,  43.36623,       253.87457,       43.36859,    264.41069,     +23.91257,     264.41638,      +23.91207,  2801422.83, -3006452.90,  4977047.43,      50.641120,       -4.198819,   88831.18,  128268.83,    7352.49,             7350.02,  -172.62,  23785.50,           26512.99,     -0.91,      9.25,          14.95,  +3.92,  +3.38

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.