Orbital Analysis for matched events on 20210929_235114.959_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 14.72° Bg 73.62° Vg 23.96km/s
mass 0.04728g, abs. mag 0.4
Path Details
------------
start 1.27° 52.23° 94.82km
end   1.30° 52.20° 87.74km

Orbit Details
-------------
Semimajor axis 2.45A.U., eccentricity 0.61, inclination 38.60°, Period 3.84Y, LA Sun 186.75°, last Perihelion 2017-12-19

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: 2459487.493923140690
Time: 2021-09-29 23:51:14.959356 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK003W
 Convergence angle = 78.97211 deg
 R.A. = 316.77970  Dec = +65.47002 deg

Best intersection: Stations UK002K and UK003W with Qconv = 78.97 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3933789.50 +/- 31.05 m
 Y =    555243.74 +/- 33.09 m
 Z =   5093556.98 +/- 87.96 m
 Vx =     7687.81 +/- 190.12 m/s
 Vy =    -7837.72 +/- 261.46 m/s
 Vz =    24023.96 +/- 214.57 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.179416e+03, +5.898615e+02, +1.050892e+03, +3.386055e+03, +2.859822e+03, +3.794753e+02
+5.898615e+02, +1.141250e+03, +1.515401e+03, +9.630975e+02, +6.125231e+03, +4.230014e+03
+1.050892e+03, +1.515401e+03, +5.416050e+03, -3.144704e+03, +1.144093e+04, +9.716328e+03
+3.386055e+03, +9.630975e+02, -3.144704e+03, +2.137579e+04, +2.553215e+02, -1.050252e+04
+2.859822e+03, +6.125231e+03, +1.144093e+04, +2.553215e+02, +4.686391e+04, +3.397780e+04
+3.794753e+02, +4.230014e+03, +9.716328e+03, -1.050252e+04, +3.397780e+04, +3.099908e+04

Timing offsets (from input data):
    UK002K: -0.000545 s
    UK003W: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 23:51:14.959356 UTC
  Lon     = ++1.266864 +/- 0.0004 deg
  Lat     = +52.230861 +/- 0.0004 deg
  Lat geo = +52.047116 +/- 0.0004 deg
  Ht      =   94807.34 +/- 79.92 m

  JD dynamic   = 2459487.494723881595 
  LST apparent = 8.0340716929 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 314.44680 +/- 0.9704 deg
  Dec       = +65.44005 +/- 0.6588 deg
  Azimuth   = 317.26420 +/- 1.3642 deg
  Elevation = +60.46822 +/- 0.3931 deg
  Vavg      =  25.83571 +/- 0.1089 km/s
  Vinit     =  26.41369 +/- 0.0971 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 315.36365 +/- 0.9704 deg
  Dec       = +65.89897 +/- 0.6588 deg
  Azimuth   = 318.21488 +/- 1.3642 deg
  Elevation = +60.83727 +/- 0.3931 deg
  Vavg      =  25.74022 +/- 0.1089 km/s
  Vinit     =  26.31820 +/- 0.0971 km/s
Radiant (geocentric, J2000):
  R.A.   = 310.81985 +/- 0.9893 deg
  Dec    = +65.33210 +/- 0.7000 deg
  Vg     =  23.96402 +/- 0.1070 km/s
  Vinf   =  26.41369 +/- 0.0971 km/s
  Zc     =  29.66698 +/- 0.3914 deg
  Zg     =  31.14260 +/- 0.4194 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  14.71896 +/- 2.5687 deg
  Bg     = +73.61583 +/- 0.3216 deg
  Vh     =  37.54554 +/- 0.1846 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 290.74648 +/- 0.2729 deg
  Bh     = +37.76351 +/- 0.4147 deg
  Vh_x   = -10.51416 +/- 0.1375 km/s
  Vh_y   =  27.75681 +/- 0.3105 km/s
  Vh_z   = -22.99303 +/- 0.1103 km/s
Orbit:
  La Sun = 186.752376 +/- 0.0000 deg
  a      =   2.452084 +/- 0.0934 AU
  e      =   0.611291 +/- 0.0144
  i      =  38.602026 +/- 0.4283 deg
  peri   = 209.243651 +/- 0.7682 deg
  node   = 186.754480 +/- 0.0000 deg
  Pi     =  35.998131 +/- 0.7682 deg
  q      =   0.953149 +/- 0.0021 AU
  f      = 330.754654 +/- 0.7682 deg
  M      = 354.226590 +/- 0.4852 deg
  Q      =   3.951020 +/- 0.1858 AU
  n      =   0.256685 +/- 0.0148 deg/day
  T      =   3.839757 +/- 0.2193 years
  Last perihelion JD = 2458107.491103 (2017-12-19 23:47:11.307690) +/- 80.6154 days
  Tj     =   2.971459 +/- 0.0721
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.173878e-04, +1.183497e-05, -6.513003e-01, +3.007784e-09, -9.444342e-05, -6.428990e-05
q   , +1.183497e-05, +5.261682e-06, -7.354761e-02, +2.309176e-10, -3.089091e-05, -4.930221e-06
Tp  , -6.513003e-01, -7.354761e-02, +3.636691e+03, -1.637946e-05, +5.651329e-01, +3.499209e-01
node, +3.007784e-09, +2.309176e-10, -1.637946e-05, +8.264377e-14, -2.046604e-09, -1.770127e-09
peri, -9.444342e-05, -3.089091e-05, +5.651329e-01, -2.046604e-09, +1.882376e-04, +4.372210e-05
i   , -6.428990e-05, -4.930221e-06, +3.499209e-01, -1.770127e-09, +4.372210e-05, +3.791762e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.578496
 a2 = 19.527120

Mean time residuals from time vs. length:
  Station with reference time: UK003W
  Avg. res. = 7.782e-06 s
  Stddev    = 2.79e-03 s

Begin point on the trajectory:
  Lon =     1.266815 +/- 0.0006 deg
  Lat =    52.230893 +/- 0.0004 deg
  Ht  = 94816.12 +/- 48.29 m
End point on the trajectory:
  Lon =     1.304749 +/- 0.0006 deg
  Lat =    52.204764 +/- 0.0003 deg
  Ht  = 87735.14 +/- 44.88 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,   8.671164,   8.365471,    93779.80,    89143.08,          0.009333,     33.69,      2.36,              90.35, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210929_235108_372_0500992.fits"}
    UK003W,   False,     0.164950,    51.426540,   67.00,   0.442360,  20.370652,    94816.12,    87735.14,          0.019039,     41.20,     28.37,              52.89, 1.0000,    True,    True, {"ff_name": "FF_UK003W_20210929_235107_427_0505600.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,       0,  0.052287, 2459487.493923994247,  40.08844,  -3.84630,              141.95208,  26.06166,       141.96250,       26.06117,     40.08844,      -3.84630,      40.08020,       -3.85018,  3933445.77,   555594.18,  5092482.84,      52.227074,       +1.272254,   93779.80,  207285.20,       0.00,             1180.99,  -107.53,      0.00,           26162.72,     -2.36,     33.81,          33.72,  +5.42,  +3.84
  1,     UK002K,       0,  0.092591, 2459487.493924460839,  40.21685,  -4.19187,              141.96067,  25.69318,       141.94422,       25.69395,     40.21685,      -4.19187,      40.23087,       -4.18571,  3933057.39,   555990.13,  5091269.19,      52.222793,       +1.278524,   92618.86,  207322.63,    1334.37,             2515.36,   162.27,  33107.73,           26162.72,      3.76,    -53.57,          53.43,  +6.24,  +4.66
  2,     UK002K,       0,  0.132763, 2459487.493924925569,  40.32209,  -4.36931,              141.92472,  25.48959,       141.93531,       25.48910,     40.32209,      -4.36931,      40.31401,       -4.37328,  3932840.27,   556211.48,  5090590.69,      52.220399,       +1.281956,   91969.83,  207344.55,    2080.36,             3261.35,  -152.84,  18569.83,           26162.72,     -2.42,     34.55,          34.45,  +2.69,  +1.11
  3,     UK002K,       0,  0.173031, 2459487.493925391696,  40.43666,  -4.67417,              141.93120,  25.16410,       141.91962,       25.16464,     40.43666,      -4.67417,      40.44705,       -4.66982,  3932496.80,   556561.65,  5089517.37,      52.216611,       +1.287483,   90943.18,  207388.25,    3260.45,             4441.44,   -36.37,  29305.88,           26162.72,      2.66,    -37.88,          37.77,  +1.77,  +0.19
  4,     UK002K,       0,  0.213287, 2459487.493925857823,  40.57187,  -4.94506,              141.90291,  24.86264,       141.90529,       24.86253,     40.57187,      -4.94506,      40.57088,       -4.94595,  3932176.80,   556887.89,  5088517.39,      52.213081,       +1.292622,   89986.70,  207434.52,    4359.91,             5540.90,    -0.23,  27311.61,           26454.19,     -0.55,      7.81,           7.79,  +4.03,  +2.45
  5,     UK002K,       0,  0.253507, 2459487.493926323019,  40.68132,  -5.18821,              141.88987,  24.59643,       141.89304,       24.59629,     40.68132,      -5.18821,      40.67983,       -5.18940,  3931894.55,   557175.64,  5087635.38,      52.209966,       +1.297136,   89143.08,  207479.39,    5329.65,             6510.64,   -92.84,  24110.97,           26202.90,     -0.73,     10.42,          10.38,  +2.85,  +1.27
  0,     UK003W,       0,  0.000000, 2459487.493923140690, 106.60167,  59.23289,               39.90842,  38.18470,        39.89094,       38.17416,    106.60167,     +59.23289,     106.63451,      +59.23706,  3933792.44,   555240.75,  5093566.16,      52.230893,       +1.266815,   94816.12,  151529.14,       0.00,               10.09,   102.67,      0.00,           24695.64,    -25.97,    -37.71,          62.32,  +3.85,  +2.95
  1,     UK003W,       0,  0.040436, 2459487.493923608679, 106.72272,  58.87714,               40.21154,  37.91368,        40.16718,       37.88698,    106.72272,     +58.87714,     106.80562,      +58.88764,  3933446.12,   555593.82,  5092483.94,      52.227078,       +1.272387,   93780.87,  150819.99,    1189.87,             1179.78,   204.29,  29425.96,           24695.64,    -65.72,    -95.46,         158.50,  +3.52,  +2.63
  2,     UK003W,       0,  0.080776, 2459487.493924075738, 106.87888,  58.62722,               40.39298,  37.69352,        40.36627,       37.67748,    106.87888,     +58.62722,     106.92875,      +58.63351,  3933195.39,   555849.44,  5091700.41,      52.224314,       +1.276375,   93031.35,  150308.66,    2051.34,             2041.25,     0.23,  21355.19,           24695.64,    -39.48,    -57.34,          95.53,  +2.34,  +1.46
  3,     UK003W,       0,  0.121168, 2459487.493924543262, 107.06586,  58.33964,               40.59600,  37.43592,        40.59498,       37.43531,    107.06586,     +58.33964,     107.06825,      +58.33988,  3932908.46,   556141.96,  5090803.79,      52.221151,       +1.280963,   92173.67,  149728.27,    3037.15,             3027.06,   -80.86,  24406.11,           24695.64,     -1.51,     -2.19,           3.66,  +2.04,  +1.16
  4,     UK003W,       0,  0.161652, 2459487.493925011717, 107.26402,  57.97484,               40.86591,  37.12305,        40.87991,       37.13142,    107.26402,     +57.97484,     107.23911,      +57.97160,  3932552.75,   556504.60,  5089692.22,      52.217229,       +1.286693,   91110.43,  149016.04,    4259.28,             4249.19,    71.94,  30188.14,           25656.55,     20.58,     29.87,          50.20,  +2.20,  +1.33
  5,     UK003W,       0,  0.202048, 2459487.493925479241, 107.38947,  57.66318,               41.11197,  36.87210,        41.11736,       36.87532,    107.38947,     +57.66318,     107.38053,      +57.66195,  3932255.85,   556807.30,  5088764.41,      52.213953,       +1.291448,   90222.97,  148425.56,    5279.39,             5269.30,    25.04,  25252.72,           25873.04,      7.90,     11.47,          19.36,  +2.03,  +1.17
  6,     UK003W,       0,  0.242404, 2459487.493925946299, 107.49900,  57.38276,               41.33256,  36.64657,        41.32928,       36.64462,    107.49900,     +57.38276,     107.50593,      +57.38351,  3931990.62,   557077.70,  5087935.58,      52.211026,       +1.295678,   89430.20,  147901.33,    6190.67,             6180.58,  -129.63,  22580.92,           25598.07,     -4.80,     -6.96,          11.79,  +1.99,  +1.14
  7,     UK003W,       0,  0.282832, 2459487.493926414289, 107.65991,  57.05813,               41.57033,  36.37008,        41.57646,       36.37373,    107.65991,     +57.05813,     107.65010,      +57.05674,  3931682.43,   557391.90,  5086972.52,      52.207624,       +1.300622,   88509.09,  147297.87,    7249.52,             7239.43,  -138.63,  26191.07,           25532.90,      8.95,     12.99,          22.09,  +2.63,  +1.79
  8,     UK003W,       0,  0.323180, 2459487.493926881347, 107.75682,  56.77904,               41.79059,  36.14838,        41.78372,       36.14430,    107.75682,     +56.77904,     107.77042,      +56.78059,  3931423.49,   557655.89,  5086163.34,      52.204764,       +1.304749,   87735.14,  146793.76,    8139.20,             8129.11,  -314.69,  22050.16,           25270.67,    -10.01,    -14.54,          24.80,  +3.32,  +2.49

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.