Orbital Analysis for matched events on 20211015_224920.770_UK

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Summary for Event
-----------------
shower ID 8 ORI
Lg 94.41° Bg -8.61° Vg 62.81km/s
mass 0.01200g, abs. mag 0.1
best visual mag 0.3
Path Details
------------
start 0.01° 52.63° 114.23km
end   -0.28° 52.61° 109.52km

Orbit Details
-------------
Semimajor axis 1.98A.U., eccentricity 0.68, inclination 162.13°, Period 2.78Y, LA Sun 202.50°, last Perihelion 2019-02-20

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: 2459503.450934840366
Time: 2021-10-15 22:49:20.782117 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK003U
 Convergence angle = 6.83507 deg
 R.A. =  94.19876  Dec = +15.05855 deg

Best intersection: Stations UK002K and UK003U with Qconv = 6.84 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3918952.90 +/- 383.13 m
 Y =    483937.56 +/- 173.80 m
 Z =   5136890.16 +/- 114.00 m
 Vx =    -4692.00 +/- 1696.40 m/s
 Vy =    61347.31 +/- 1891.75 m/s
 Vz =    16814.19 +/- 849.82 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.777786e+04, +3.410579e+04, +2.373076e+04, +3.829488e+05, +4.222101e+05, +1.714662e+05
+3.410579e+04, +1.302281e+04, +8.349083e+03, +1.316121e+05, +1.449654e+05, +5.745445e+04
+2.373076e+04, +8.349083e+03, +6.610164e+03, +9.346618e+04, +1.034807e+05, +4.600025e+04
+3.829488e+05, +1.316121e+05, +9.346618e+04, +1.910228e+06, +2.041749e+06, +8.646391e+05
+4.222101e+05, +1.449654e+05, +1.034807e+05, +2.041749e+06, +2.221980e+06, +9.325028e+05
+1.714662e+05, +5.745445e+04, +4.600025e+04, +8.646391e+05, +9.325028e+05, +4.190028e+05

Timing offsets (from input data):
    UK002K: 0.000000 s
    UK003U: 0.003217 s

Reference point on the trajectory:
  Time: 2021-10-15 22:49:20.782117 UTC
  Lon     = ++0.020264 +/- 0.0019 deg
  Lat     = +52.633086 +/- 0.0022 deg
  Lat geo = +52.450573 +/- 0.0022 deg
  Ht      =  114482.60 +/- 330.45 m

  JD dynamic   = 2459503.451735719107 
  LST apparent = 7.0396142608 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  94.37362 +/- 1.7106 deg
  Dec       = +15.28480 +/- 0.3236 deg
  Azimuth   =  82.64759 +/- 1.1445 deg
  Elevation = +13.69451 +/- 1.2674 deg
  Vavg      =  65.30458 +/- 1.4666 km/s
  Vinit     =  63.78263 +/- 1.9066 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  94.38603 +/- 1.7106 deg
  Dec       = +15.21698 +/- 0.3236 deg
  Azimuth   =  82.68150 +/- 1.1445 deg
  Elevation = +13.63404 +/- 1.2674 deg
  Vavg      =  65.58209 +/- 1.4666 km/s
  Vinit     =  64.06014 +/- 1.9066 km/s
Radiant (geocentric, J2000):
  R.A.   =  94.51054 +/- 1.7423 deg
  Dec    = +14.75534 +/- 0.3578 deg
  Vg     =  62.81073 +/- 1.9340 km/s
  Vinf   =  63.78263 +/- 1.9066 km/s
  Zc     =  76.32892 +/- 1.2710 deg
  Zg     =  77.02033 +/- 1.3216 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  94.41135 +/- 1.7066 deg
  Bg     =  -8.61331 +/- 0.3340 deg
  Vh     =  36.47885 +/- 2.3377 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  78.35305 +/- 1.9397 deg
  Bh     = -14.94194 +/- 0.9660 deg
  Vh_x   =  -7.11537 +/- 1.8495 km/s
  Vh_y   = -34.51971 +/- 2.0365 km/s
  Vh_z   =   9.40571 +/- 0.1727 km/s
Orbit:
  La Sun = 202.504156 +/- 0.0000 deg
  a      =   1.976271 +/- 6.4698 AU
  e      =   0.683736 +/- 0.1305
  i      = 162.126579 +/- 0.7754 deg
  peri   =  85.342642 +/- 4.1464 deg
  node   =  22.506475 +/- 0.0001 deg
  Pi     = 107.849117 +/- 4.1463 deg
  q      =   0.625024 +/- 0.0062 AU
  f      = 274.659477 +/- 4.1465 deg
  M      = 343.438833 +/- nan deg
  Q      =   3.327518 +/- 12.9368 AU
  n      =   0.354760 +/- 0.1342 deg/day
  T      =   2.778244 +/- nan years
  Last perihelion JD = 2458535.363349 (2019-02-20 20:43:13.336500) +/- 7401.3669 days
  Tj     =   1.777420 +/- 1.1193
Shower association:
  IAU No.  =    8
  IAU code =  ORI

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.019873e-02, +2.036983e-04, -4.435332e+02, +6.693745e-06, -3.799175e-01, +5.443632e-02
q   , +2.036983e-04, +2.437805e-05, +2.347084e+00, +1.342986e-07, -1.173829e-02, +1.155345e-03
Tp  , -4.435332e+02, +2.347084e+00, +3.830525e+07, -2.763586e-01, +1.388314e+04, -2.194152e+03
node, +6.693745e-06, +1.342986e-07, -2.763586e-01, +5.598924e-09, -2.511136e-04, +4.547816e-05
peri, -3.799175e-01, -1.173829e-02, +1.388314e+04, -2.511136e-04, +1.507590e+01, -2.057532e+00
i   , +5.443632e-02, +1.155345e-03, -2.194152e+03, +4.547816e-05, -2.057532e+00, +3.700050e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.119848
 a2 = 25.257017

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 4.493e-06 s
  Stddev    = 2.12e-03 s

Begin point on the trajectory:
  Lon =     0.005530 +/- 0.0064 deg
  Lat =    52.631929 +/- 0.0019 deg
  Ht  = 114233.17 +/- 410.22 m
End point on the trajectory:
  Lon =    -0.275954 +/- 0.0042 deg
  Lat =    52.609557 +/- 0.0015 deg
  Ht  = 109521.91 +/- 312.36 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
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,   113329.44,   110794.51,          0.010532,     22.88,     16.32,              72.25, 1.0000,    True,   False, {"ff_name": "FF_UK002K_20211015_224915_971_0463360.fits"}
    UK003U,   False,    -1.740490,    53.069201,  240.00,   0.956915,  18.999641,   114233.17,   109521.91,          0.023355,     60.32,     33.46,              36.17, 1.0000,    True,    True, {"ff_name": "FF_UK003U_20211015_224917_686_0454912.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,     UK002K,       1,  0.000000, 2459503.450934840366,  17.14785,  11.31740,              164.80772,  46.95239,       164.80736,       46.94874,     17.14785,     +11.31740,      17.14864,      +11.31384,  3918951.20,   483959.85,  5136896.27,      52.633112,       +0.020638,  114488.08,  155440.02,       0.00,               23.18,  -281.03,      0.00,           65494.16,      5.75,      8.06,          13.15,  +4.48,  +3.52
  1,     UK002K,       0,  0.079348, 2459503.450935759116,  15.39571,  10.91403,              167.38212,  46.80353,       167.38220,       46.80404,     15.39571,     +10.91403,      15.39587,      +10.91453,  3919311.72,   479246.12,  5135604.32,      52.627712,       -0.048219,  113329.44,  154230.78,    4900.85,             4877.67,  -487.56,  61764.01,           65494.16,     -0.80,     -1.12,           1.85,  +3.21,  +2.27
  2,     UK002K,       0,  0.118916, 2459503.450936216861,  14.24181,  10.64805,              169.07150,  46.67949,       169.07103,       46.67686,     14.24181,     +10.64805,      14.24289,      +10.64547,  3919546.75,   476173.06,  5134762.05,      52.624169,       -0.093062,  112575.93,  153522.73,    8095.90,             8072.72,   183.74,  80748.35,           65494.16,      4.12,      5.78,           9.54,  +1.65,  +0.72
  3,     UK002K,       0,  0.158620, 2459503.450936676469,  13.46693,  10.48244,              170.20061,  46.59770,       170.19676,       46.57827,     13.46693,     +10.48244,      13.47225,      +10.46338,  3919702.64,   474134.91,  5134203.43,      52.621810,       -0.122862,  112076.97,  153087.89,   10214.96,            10191.78,  -229.63,  53371.39,           65494.16,     30.42,     42.67,          70.60,  +1.11,  +0.19
  4,     UK002K,       0,  0.198248, 2459503.450937135145,  12.43882,  10.22642,              171.69908,  46.43895,       171.69677,       46.42874,     12.43882,     +10.22642,      12.44211,      +10.21639,  3919910.26,   471420.31,  5133459.41,      52.618655,       -0.162499,  111413.41,  152553.35,   13037.33,            13014.15,    65.16,  71221.62,           65845.70,     15.98,     22.40,          37.21,  +0.54,  -0.38
  5,     UK002K,       0,  0.237896, 2459503.450937593821,  11.47186,   9.98844,              173.10158,  46.27772,       173.09973,       46.27036,     11.47186,      +9.98844,      11.47464,       +9.98119,  3920104.23,   468884.15,  5132764.29,      52.615696,       -0.199543,  110794.51,  152099.86,   15674.16,            15650.98,   173.14,  66506.04,           66049.01,     11.52,     16.15,          26.90,  +0.32,  -0.59
  0,     UK003U,       0,  0.014376, 2459503.450934978202,  53.85899,  20.82041,              111.82750,  40.97071,       111.77776,       41.01884,     53.85899,     +20.82041,      53.86048,      +20.88143,  3919030.42,   482923.99,  5136612.36,      52.631929,       +0.005530,  114233.17,  171716.57,       0.00,             1053.80,  -167.33,      0.00,           63933.28,    -88.81,   -159.92,         219.73,  +2.68,  +1.51
  1,     UK003U,       0,  0.054308, 2459503.450935440604,  53.21091,  20.88441,              112.42320,  41.38285,       112.41396,       41.39185,     53.21091,     +20.88441,      53.21131,      +20.89577,  3919240.16,   480181.68,  5135860.74,      52.628787,       -0.034503,  113559.13,  169496.70,    2851.17,             3904.97,   136.87,  71400.64,           63933.28,    -16.27,    -29.39,          40.88,  +3.89,  +2.74
  2,     UK003U,       0,  0.094272, 2459503.450935903005,  52.64768,  20.90916,              112.96952,  41.71498,       112.97179,       41.71276,     52.64768,     +20.90916,      52.64796,      +20.90637,  3919417.69,   477860.60,  5135224.58,      52.626117,       -0.068414,  112989.53,  167631.84,    5264.39,             6318.19,     1.08,  60384.81,           63933.28,      3.96,      7.16,          10.07,  +2.20,  +1.08
  3,     UK003U,       0,  0.134264, 2459503.450936365873,  52.06287,  20.89864,              113.56978,  42.02929,       113.55625,       42.04270,     52.06287,     +20.89864,      52.06359,      +20.91540,  3919597.75,   475506.25,  5134579.29,      52.623398,       -0.102811,  112412.61,  165755.11,    7712.21,             8766.01,  -101.90,  61207.68,           63933.28,    -23.48,    -42.41,          60.32,  +1.90,  +0.80
  4,     UK003U,       0,  0.174216, 2459503.450936828274,  51.42431,  20.93070,              114.19570,  42.40605,       114.20196,       42.39979,     51.42431,     +20.93070,      51.42490,      +20.92292,  3919790.06,   472991.82,  5133890.13,      52.620483,       -0.139537,  111797.41,  163768.30,   10326.45,            11380.26,   -35.90,  65434.63,           63842.55,     10.76,     19.46,          28.01,  +2.01,  +0.94
  5,     UK003U,       0,  0.214192, 2459503.450937290676,  50.77717,  20.92696,              114.86432,  42.75675,       114.86338,       42.75770,     50.77717,     +20.92696,      50.77801,      +20.92813,  3919980.19,   470505.91,  5133208.79,      52.617590,       -0.175851,  111190.15,  161821.82,   12911.04,            13964.85,    -1.08,  64653.61,           63932.53,     -1.60,     -2.89,           4.21,  +1.74,  +0.69
  6,     UK003U,       0,  0.254148, 2459503.450937753543,  50.13517,  20.94301,              115.51753,  43.11886,       115.52715,       43.10903,     50.13517,     +20.94301,      50.13615,      +20.93093,  3920164.41,   468097.28,  5132548.63,      52.614775,       -0.211043,  110602.68,  159953.18,   15415.29,            16469.09,   -45.34,  62675.02,           63829.97,     16.31,     29.52,          43.49,  +1.85,  +0.83
  7,     UK003U,       0,  0.294128, 2459503.450938215945,  49.54384,  20.93386,              116.14324,  43.43120,       116.14513,       43.42926,     49.54384,     +20.93386,      49.54502,      +20.93148,  3920330.27,   465928.62,  5131954.24,      52.612232,       -0.242747,  110074.48,  158285.28,   17670.04,            18723.84,  -340.61,  56397.01,           63167.57,      3.18,      5.76,           8.58,  +2.51,  +1.51
  8,     UK003U,       0,  0.334076, 2459503.450938678347,  48.91094,  20.95328,              116.79519,  43.78749,       116.81372,       43.76816,     48.91094,     +20.95328,      48.91243,      +20.92977,  3920504.04,   463656.66,  5131331.53,      52.609557,       -0.275954,  109521.91,  156554.39,   20032.19,            21085.99,  -526.45,  59130.58,           62589.49,     31.04,     56.23,          84.63,  +3.58,  +2.61

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.