Orbital Analysis for matched events on 20210929_212656.582_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 99.19° Bg 17.72° Vg 69.36km/s
mass 0.00946g, abs. mag 0.7
Path Details
------------
start -3.43° 50.42° 117.24km
end   -3.62° 50.23° 112.90km

Orbit Details
-------------
Semimajor axis 213.88A.U., eccentricity 1.00, inclination 149.80°, Period 3127.87Y, LA Sun 186.65°, last Perihelion 2021-09-25

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: 2459487.393710440490
Time: 2021-09-29 21:26:56.622815 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK000T
 Convergence angle = 54.62578 deg
 R.A. =  98.46109  Dec = +42.58455 deg

Best intersection: Stations UK000H and UK000T with Qconv = 54.63 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3483674.77 +/- 46.03 m
 Y =  -2247194.69 +/- 27.23 m
 Z =   4984521.60 +/- 14.15 m
 Vx =   -10607.47 +/- 215.21 m/s
 Vy =    51693.97 +/- 148.40 m/s
 Vz =    46361.52 +/- 198.45 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan

Timing offsets (from input data):
    UK000H: 0.000118 s
    UK000T: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 21:26:56.622815 UTC
  Lon     = +-3.416654 +/- 0.0001 deg
  Lat     = +50.435643 +/- 0.0003 deg
  Lat geo = +50.249986 +/- 0.0003 deg
  Ht      =  117635.33 +/- 41.27 m

  JD dynamic   = 2459487.394511653110 
  LST apparent = 327.1753768748 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 101.59599 +/- 0.2380 deg
  Dec       = +41.30062 +/- 0.1211 deg
  Azimuth   =  33.01540 +/- 0.1082 deg
  Elevation = +10.01405 +/- 0.1882 deg
  Vavg      =  67.57994 +/- 0.1197 km/s
  Vinit     =  70.24369 +/- 0.1310 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 101.36719 +/- 0.2380 deg
  Dec       = +41.18442 +/- 0.1211 deg
  Azimuth   =  33.22486 +/- 0.1082 deg
  Elevation =  +9.99068 +/- 0.1882 deg
  Vavg      =  67.74261 +/- 0.1197 km/s
  Vinit     =  70.40635 +/- 0.1310 km/s
Radiant (geocentric, J2000):
  R.A.   = 101.58734 +/- 0.2360 deg
  Dec    = +40.78586 +/- 0.1211 deg
  Vg     =  69.36291 +/- 0.1327 km/s
  Vinf   =  70.24369 +/- 0.1310 km/s
  Zc     =  80.14164 +/- 0.1884 deg
  Zg     =  80.74979 +/- 0.1882 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  99.18692 +/- 0.1981 deg
  Bg     = +17.71697 +/- 0.1055 deg
  Vh     =  42.03884 +/- 0.1090 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 100.49769 +/- 0.3511 deg
  Bh     = +30.14319 +/- 0.2114 deg
  Vh_x   =   6.62356 +/- 0.2535 km/s
  Vh_y   = -35.74558 +/- 0.1243 km/s
  Vh_z   = -21.11034 +/- 0.0839 km/s
Orbit:
  La Sun = 186.653919 +/- nan deg
  a      = 213.877486 +/- 162.6293 AU
  e      =   0.995333 +/- 0.0103
  i      = 149.800666 +/- 0.2001 deg
  peri   = 173.335943 +/- 0.5814 deg
  node   = 186.651242 +/- 0.0000 deg
  Pi     = 359.987184 +/- 0.5814 deg
  q      =   0.998232 +/- 0.0007 AU
  f      =   6.661174 +/- 0.5814 deg
  M      =   0.001507 +/- nan deg
  Q      = 426.756739 +/- 325.2587 AU
  n      =   0.000315 +/- 0.0018 deg/day
  T      = 3127.866737 +/- 249443045.5579 years
  Last perihelion JD = 2459482.611914 (2021-09-25 02:41:09.349122) +/- 0.0000 days
  Tj     =  -1.045038 +/- 0.0585
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +nan, +nan, +nan, +nan, +nan, +nan
q   , +nan, +nan, +nan, +nan, +nan, +nan
Tp  , +nan, +nan, +nan, +nan, +nan, +nan
node, +nan, +nan, +nan, +nan, +nan, +nan
peri, +nan, +nan, +nan, +nan, +nan, +nan
i   , +nan, +nan, +nan, +nan, +nan, +nan

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 7.173814
 a2 = 10.837530

Mean time residuals from time vs. length:
  Station with reference time: UK000T
  Avg. res. = 1.620e-05 s
  Stddev    = 4.02e-03 s

Begin point on the trajectory:
  Lon =    -3.433364 +/- 0.0001 deg
  Lat =    50.419213 +/- 0.0003 deg
  Ht  = 117243.74 +/- 34.60 m
End point on the trajectory:
  Lon =    -3.621806 +/- 0.0001 deg
  Lat =    50.234488 +/- 0.0005 deg
  Ht  = 112899.84 +/- 46.16 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   2.466938,  15.456804,   117219.38,   113510.30,          0.019112,     41.03,     44.10,             119.20, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210929_212647_029_0275712.fits"}
    UK000T,   False,    -3.557111,    51.483925,   37.50,   3.280274,  12.346267,   117243.74,   112899.84,          0.003428,     10.37,      1.61,             116.88, 1.0000,    True,    True, {"ff_name": "FF_UK000T_20210929_212650_214_0265472.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,     UK000H,       0,  0.031451, 2459487.393710803241, 281.56810,  19.98353,              247.98042,  41.89616,       248.00015,       41.88446,    281.56810,     +19.98353,     281.54825,      +19.98352,  3484036.34, -2248956.74,  4982941.31,      50.418189,       -3.434365,  117219.38,  173621.52,       0.00,             2394.34,   794.53,      0.00,           66356.08,     41.65,    -38.78,          67.61,  +5.09,  +3.89
  1,     UK000H,       0,  0.071891, 2459487.393711271230, 281.53370,  19.47136,              247.58864,  41.47454,       247.57695,       41.48145,    281.53370,     +19.47136,     281.54583,      +19.47137,  3484304.39, -2250263.02,  4981769.78,      50.405247,       -3.447686,  116911.56,  174489.52,    1775.02,             4169.36,  -271.11,  43892.64,           66356.08,    -24.88,     23.14,          40.16,  +3.85,  +2.64
  2,     UK000H,       0,  0.112671, 2459487.393711743411, 281.53494,  18.54786,              246.83291,  40.74745,       246.82464,       40.75231,    281.53494,     +18.54786,     281.54377,      +18.54787,  3484795.04, -2252654.13,  4979625.32,      50.381548,       -3.471916,  116349.32,  176107.19,    5024.15,             7418.49,   113.48,  79674.63,           66356.08,    -17.84,     16.59,          28.53,  +2.90,  +1.67
  3,     UK000H,       0,  0.153355, 2459487.393712214194, 281.51268,  17.74281,              246.21061,  40.09621,       246.18255,       40.11262,    281.51268,     +17.74281,     281.54168,      +17.74284,  3485230.27, -2254775.17,  4977723.09,      50.360519,       -3.493411,  115851.88,  177580.68,    7906.29,            10300.63,   137.83,  70842.05,           66356.08,    -61.34,     57.00,          97.26,  +2.11,  +0.86
  4,     UK000H,       0,  0.194039, 2459487.393712684978, 281.52933,  16.92745,              245.55378,  39.45570,       245.54434,       39.46119,    281.52933,     +16.92745,     281.53968,      +16.92745,  3485678.70, -2256960.52,  4975763.16,      50.338844,       -3.515537,  115340.65,  179134.64,   10875.82,            13270.16,   249.57,  72990.21,           68576.26,    -20.88,     19.41,          32.83,  +2.69,  +1.42
  5,     UK000H,       0,  0.234631, 2459487.393713154830, 281.53972,  16.22437,              245.00088,  38.89827,       245.00392,       38.89652,    281.53972,     +16.22437,     281.53763,      +16.22436,  3486071.73, -2258875.90,  4974045.36,      50.319841,       -3.534936,  114893.63,  180527.00,   13478.52,            15872.86,     0.94,  64118.53,           68574.22,      6.79,     -6.32,          10.60,  +2.37,  +1.09
  6,     UK000H,       0,  0.275211, 2459487.393713624682, 281.56129,  15.52601,              244.44902,  38.34850,       244.47556,       38.33323,    281.56129,     +15.52601,     281.53564,      +15.52599,  3486468.28, -2260808.44,  4972312.17,      50.300662,       -3.554495,  114443.62,  181958.86,   16104.53,            18498.87,  -223.55,  64711.83,           68160.52,     60.01,    -55.86,          92.94,  +2.35,  +1.05
  7,     UK000H,       0,  0.315743, 2459487.393714093603, 281.55588,  14.89710,              243.98366,  37.83721,       244.00698,       37.82383,    281.55588,     +14.89710,     281.53364,      +14.89708,  3486830.83, -2262575.27,  4970727.60,      50.283122,       -3.572380,  114033.07,  183291.95,   18505.36,            20899.70,  -669.83,  59233.00,           67246.46,     53.32,    -49.63,          81.97,  +3.45,  +2.13
  8,     UK000H,       0,  0.356403, 2459487.393714564387, 281.55843,  14.10780,              243.39949,  37.19821,       243.42726,       37.18235,    281.55843,     +14.10780,     281.53185,      +14.10778,  3487293.61, -2264830.53,  4968704.97,      50.260726,       -3.595147,  113510.30,  185022.81,   21569.90,            23964.23,  -461.40,  75369.79,           67361.19,     64.34,    -59.89,          98.00,  +3.28,  +1.94
  0,     UK000T,       1,  0.000000, 2459487.393710440490, 330.53586,   5.94046,              175.12621,  44.36382,       175.10126,       44.34790,    330.53586,      +5.94046,     330.55462,       +5.92552,  3483673.95, -2247190.66,  4984525.22,      50.435683,       -3.416443,  117636.28,  166668.87,       0.00,                5.48,   614.87,      0.00,           64920.49,     10.67,     68.72,          86.07,  +3.51,  +2.40
  1,     UK000T,       0,  0.040776, 2459487.393710912205, 330.11258,   5.37772,              175.75097,  43.82273,       175.75322,       43.82415,    330.11258,      +5.37772,     330.11105,       +5.37907,  3484015.14, -2248853.43,  4983033.97,      50.419213,       -3.433364,  117243.74,  167635.37,    2259.43,             2253.95,    -0.91,  55410.90,           64920.49,     -0.97,     -6.25,           7.78,  +2.91,  +1.79
  2,     UK000T,       0,  0.081728, 2459487.393711386248, 329.55463,   4.68962,              176.55618,  43.15854,       176.55695,       43.15903,    329.55463,      +4.68962,     329.55438,       +4.69009,  3484450.81, -2250976.58,  4981129.83,      50.398175,       -3.454909,  116743.61,  168905.74,    5144.45,             5138.97,     7.48,  70448.70,           64920.49,     -0.34,     -2.18,           2.70,  +2.26,  +1.12
  3,     UK000T,       0,  0.122616, 2459487.393711859826, 329.03436,   4.04456,              177.29279,  42.53122,       177.29354,       42.53168,    329.03436,      +4.04456,     329.03430,       +4.04501,  3484864.58, -2252993.02,  4979321.39,      50.378189,       -3.475366,  116269.75,  170148.95,    7884.46,             7878.98,  -124.63,  67012.66,           64920.49,     -0.33,     -2.13,           2.62,  +2.37,  +1.22
  4,     UK000T,       0,  0.163448, 2459487.393712332472, 328.55097,   3.44123,              177.96512,  41.94053,       177.96781,       41.94220,    328.55097,      +3.44123,     328.54961,       +3.44285,  3485256.23, -2254901.69,  4977609.61,      50.359264,       -3.494726,  115822.23,  171357.93,   10478.04,            10472.56,  -399.24,  63518.18,           65033.77,     -1.20,     -7.70,           9.38,  +2.17,  +1.00
  5,     UK000T,       0,  0.204596, 2459487.393712808378, 327.88554,   2.60728,              178.87180,  41.11814,       178.87700,       41.12133,    327.88554,      +2.60728,     327.88244,       +2.61042,  3485806.80, -2257584.79,  4975203.28,      50.332651,       -3.521850,  115194.85,  173109.27,   14123.93,            14118.45,   356.26,  88604.43,           68457.03,     -2.34,    -15.07,          18.17,  +2.37,  +1.18
  6,     UK000T,       0,  0.245324, 2459487.393713280093, 327.44591,   2.07808,              179.45889,  40.59295,       179.45235,       40.58896,    327.44591,      +2.07808,     327.45193,       +2.07412,  3486167.46, -2259342.41,  4973626.97,      50.315212,       -3.539663,  114784.90,  174288.43,   16512.25,            16506.77,  -116.30,  58640.67,           68628.84,      2.97,     19.15,          22.94,  +2.01,  +0.80
  7,     UK000T,       0,  0.286172, 2459487.393713752739, 326.95969,   1.45902,              180.09791,  39.97506,       180.09922,       39.97585,    326.95969,      +1.45902,     326.95989,       +1.45982,  3486586.63, -2261385.18,  4971794.93,      50.294937,       -3.560325,  114309.52,  175689.94,   19288.03,            19282.55,  -209.84,  67953.92,           68644.30,     -0.60,     -3.87,           4.60,  +2.10,  +0.88
  8,     UK000T,       0,  0.327012, 2459487.393714225385, 326.46389,   0.84515,              180.73824,  39.35893,       180.73608,       39.35762,    326.46389,      +0.84515,     326.46692,       +0.84382,  3487013.78, -2263466.86,  4969927.98,      50.274269,       -3.581363,  113826.25,  177151.70,   22116.70,            22111.22,  -249.92,  69262.18,           68692.64,      1.01,      6.49,           7.65,  +2.04,  +0.80
  9,     UK000T,       0,  0.367868, 2459487.393714698032, 325.96452,   0.21876,              181.37188,  38.72685,       181.37111,       38.72639,    325.96452,      +0.21876,     325.96665,       +0.21829,  3487454.93, -2265616.75,  4967999.86,      50.252916,       -3.603069,  113328.39,  178696.00,   25038.05,            25032.57,  -198.45,  71503.60,           68870.43,      0.36,      2.34,           2.73,  +2.47,  +1.21
 10,     UK000T,       0,  0.408596, 2459487.393715169746, 325.54426,  -0.31624,              181.89634,  38.18447,       181.90208,       38.18790,    325.54426,      -0.31624,     325.54153,       -0.31272,  3487835.55, -2267471.62,  4966336.32,      50.234488,       -3.621806,  112899.84,  180056.02,   27558.52,            27553.04,  -538.86,  61885.52,           68651.29,     -2.73,    -17.61,          20.42,  +2.57,  +1.29

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.