Orbital Analysis for matched events on 20211103_053435.861_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 120.27° Bg -5.47° Vg 70.58km/s
mass 0.11615g, abs. mag -2.5
best visual mag 0.2
Path Details
------------
start -1.49° 55.40° 108.69km
end   -1.48° 55.50° 95.32km

Orbit Details
-------------
Semimajor axis 20.36A.U., eccentricity 0.96, inclination 170.23°, Period 91.88Y, LA Sun 220.72°, last Perihelion 1930-01-09

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: 2459521.732359507121
Time: 2021-11-03 05:34:35.897746 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0026 and UK003G
 Convergence angle = 22.02732 deg
 R.A. = 121.95252  Dec = +13.49946 deg
Intersection 2 - Stations: UK0026 and UK004P
 Convergence angle = 4.92933 deg
 R.A. = 126.07466  Dec =  +2.77739 deg
Intersection 3 - Stations: UK003G and UK004P
 Convergence angle = 17.22297 deg
 R.A. = 122.00449  Dec = +16.80740 deg

Best intersection: Stations UK0026 and UK003G with Qconv = 22.03 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =  -2110874.02 +/- 108.35 m
 Y =   3030766.50 +/- 126.85 m
 Z =   5316657.31 +/- 168.28 m
 Vx =   -36144.37 +/- 106.71 m/s
 Vy =    58814.26 +/- 885.43 m/s
 Vz =    18420.22 +/- 1454.34 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.536848e+03, -8.899888e+03, +8.805412e+03, +1.565372e+04, -1.529528e+04, +3.081573e+04
-8.899888e+03, +9.798495e+03, -9.972493e+03, -1.667783e+04, +1.902336e+04, -3.619338e+04
+8.805412e+03, -9.972493e+03, +1.661738e+04, +1.675849e+04, -2.817568e+04, +4.963363e+04
+1.565372e+04, -1.667783e+04, +1.675849e+04, +2.922410e+04, -3.019704e+04, +5.945779e+04
-1.529528e+04, +1.902336e+04, -2.817568e+04, -3.019704e+04, +5.501745e+04, -9.346801e+04
+3.081573e+04, -3.619338e+04, +4.963363e+04, +5.945779e+04, -9.346801e+04, +1.644958e+05

Timing offsets (from input data):
    UK0026: -0.000260 s
    UK003G: 0.000000 s
    UK004P: -0.000068 s

Reference point on the trajectory:
  Time: 2021-11-03 05:34:35.897746 UTC
  Lon     = +-1.494713 +/- 0.0004 deg
  Lat     = +55.389819 +/- 0.0020 deg
  Lat geo = +55.212757 +/- 0.0020 deg
  Ht      =  109913.35 +/- 61.39 m

  JD dynamic   = 2459521.733160668518 
  LST apparent = 124.8565131996 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 121.57285 +/- 0.1931 deg
  Dec       = +14.94030 +/- 1.0155 deg
  Azimuth   = 184.88552 +/- 0.3320 deg
  Elevation = +49.47097 +/- 1.0064 deg
  Vavg      =  71.56640 +/- 0.5846 km/s
  Vinit     =  71.44814 +/- 0.8604 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 121.79607 +/- 0.1931 deg
  Dec       = +14.94338 +/- 1.0155 deg
  Azimuth   = 184.55420 +/- 0.3320 deg
  Elevation = +49.48449 +/- 1.0064 deg
  Vavg      =  71.55200 +/- 0.5846 km/s
  Vinit     =  71.43375 +/- 0.8604 km/s
Radiant (geocentric, J2000):
  R.A.   = 121.25235 +/- 0.1955 deg
  Dec    = +14.74694 +/- 1.0159 deg
  Vg     =  70.58113 +/- 0.8706 km/s
  Vinf   =  71.44814 +/- 0.8604 km/s
  Zc     =  40.35261 +/- 1.0063 deg
  Zg     =  40.60966 +/- 1.0070 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 120.26578 +/- 0.3764 deg
  Bg     =  -5.46772 +/- 0.9639 deg
  Vh     =  41.77158 +/- 0.9047 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 112.06967 +/- 0.7522 deg
  Bh     =  -9.26494 +/- 1.5239 deg
  Vh_x   =  15.49024 +/- 0.7550 km/s
  Vh_y   = -38.20587 +/- 0.4036 km/s
  Vh_z   =   6.72522 +/- 1.3058 km/s
Orbit:
  La Sun = 220.719040 +/- -0.0000 deg
  a      =  20.361964 +/- 547.7001 AU
  e      =   0.956244 +/- 0.0806
  i      = 170.231378 +/- 1.5446 deg
  peri   =  37.669177 +/- 2.8176 deg
  node   =  40.717181 +/- 0.0004 deg
  Pi     =  78.386358 +/- 2.8172 deg
  q      =   0.890968 +/- 0.0108 AU
  f      = 322.326942 +/- 2.8180 deg
  M      = 359.734729 +/- nan deg
  Q      =  39.832959 +/- 1095.3987 AU
  n      =   0.010727 +/- 0.0324 deg/day
  T      =  91.881933 +/- nan years
  Last perihelion JD = 2425986.002136 (1930-01-09 12:03:04.520182) +/- 262163.2867 days
  Tj     =  -0.885056 +/- 0.4802
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +2.362183e-04, +4.203718e-05, -3.602988e+03, +3.232697e-06, -1.053995e-02, -9.440781e-03
q   , +4.203718e-05, +9.360801e-06, -6.928787e+02, +5.656173e-07, -2.243001e-03, -1.659518e-03
Tp  , -3.602988e+03, -6.928787e+02, +8.334330e+10, -4.889911e+01, +1.706675e+05, +1.481687e+05
node, +3.232697e-06, +5.656173e-07, -4.889911e+01, +4.438311e-08, -1.423645e-04, -1.294500e-04
peri, -1.053995e-02, -2.243001e-03, +1.706675e+05, -1.423645e-04, +5.420630e-01, +4.172138e-01
i   , -9.440781e-03, -1.659518e-03, +1.481687e+05, -1.294500e-04, +4.172138e-01, +3.786833e-01

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: UK003G
  Avg. res. = 2.795e-06 s
  Stddev    = 1.67e-03 s

Begin point on the trajectory:
  Lon =    -1.493329 +/- 0.0004 deg
  Lat =    55.399032 +/- 0.0016 deg
  Ht  = 108688.77 +/- 53.17 m
End point on the trajectory:
  Lon =    -1.479140 +/- 0.0006 deg
  Lat =    55.499930 +/- 0.0019 deg
  Ht  = 95319.03 +/- 53.34 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
    UK0026,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   108664.24,    95956.65,          0.016065,     86.34,      8.65,             107.04, 0.9141,    True,    True, {"ff_name": "FF_UK0026_20211103_053435_509_1126912.fits"}
    UK003G,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   108251.44,    97122.06,          0.005028,     36.59,     19.06,             117.03, 0.7935,    True,    True, {"ff_name": "FF_UK003G_20211103_053426_912_1110016.fits"}
    UK004P,   False,     0.265814,    50.757198,   61.00,  35.274206,   0.000000,   108688.77,    95319.03,          0.011730,    110.77,     19.62,             116.66, 0.7987,    True,    True, {"ff_name": "FF_UK004P_20211103_053432_402_1122048.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,     UK0026,       0,  0.027682, 2459521.732359830290, 337.37692,  53.30134,              340.92756,  19.38845,       340.95595,       19.39645,    337.37692,     +53.30134,     337.33912,      +53.31770, -2110042.59,  3029413.60,  5316233.59,      55.399217,       -1.493266,  108664.24,  307640.04,       0.00,             1643.52,   273.71,      0.00,           70376.19,     14.90,   -149.30,         100.60,  +3.02,  +0.58
  1,     UK0026,       0,  0.068106, 2459521.732360298280, 336.86005,  52.92281,              341.10729,  18.92942,       341.10163,       18.92782,    336.86005,     +52.92281,     336.86788,      +52.91957, -2108664.04,  3027170.42,  5315531.04,      55.414807,       -1.491092,  106593.54,  308367.53,    2725.04,             4368.56,   110.53,  67411.36,           70376.19,     -3.00,     29.91,          20.11,  +1.16,  -1.29
  2,     UK0026,       0,  0.108530, 2459521.732360766269, 336.41276,  52.50973,              341.23835,  18.45126,       341.24811,       18.45400,    336.41276,     +52.50973,     336.40023,      +52.51528, -2107263.79,  3024891.91,  5314817.43,      55.430653,       -1.488877,  104490.70,  309129.24,    5492.99,             7136.51,    -9.74,  68472.93,           70376.19,      5.19,    -51.83,          34.76,  +0.87,  -1.58
  3,     UK0026,       0,  0.149002, 2459521.732361234725, 335.87350,  52.07547,              341.42381,  17.93519,       341.40903,       17.93104,    335.87350,     +52.07547,     335.89375,      +52.06713, -2105710.41,  3022364.26,  5314025.79,      55.448244,       -1.486398,  102158.50,  310000.57,    8563.61,            10207.13,   169.23,  75870.25,           70376.19,     -7.93,     78.94,          52.79,  +0.55,  -1.91
  4,     UK0026,       0,  0.189414, 2459521.732361702248, 335.43825,  51.67829,              341.56296,  17.47434,       341.54965,       17.47060,    335.43825,     +51.67829,     335.45666,      +51.67083, -2104335.81,  3020127.49,  5313325.25,      55.463821,       -1.484220,  100095.18,  310795.26,   11280.85,            12924.37,    -0.89,  67238.50,           70235.41,     -7.17,     71.40,          47.62,  +0.56,  -1.90
  5,     UK0026,       0,  0.229834, 2459521.732362170238, 334.98748,  51.27668,              341.71491,  17.00633,       341.69266,       17.00007,    334.98748,     +51.27668,     335.01785,      +51.26430, -2102923.95,  3017830.11,  5312605.72,      55.479830,       -1.481974,   97976.44,  311633.93,   14071.73,            15715.26,   -97.94,  69047.12,           70025.50,    -12.07,    120.02,          79.84,  +0.56,  -1.91
  6,     UK0026,       0,  0.270234, 2459521.732362637762, 334.61362,  50.87475,              341.82311,  16.55246,       341.82754,       16.55370,    334.61362,     +50.87475,     334.60891,      +50.87720, -2101577.73,  3015639.53,  5311919.65,      55.495105,       -1.479838,   95956.65,  312454.87,   16732.87,            18376.39,  -323.31,  65869.71,           69505.65,      2.40,    -24.01,          15.93,  +1.38,  -1.09
  0,     UK003G,       1,  0.000000, 2459521.732359507121, 300.76429,  50.17245,                2.47337,  11.57542,         2.48420,       11.57570,    300.76429,     +50.17245,     300.74771,      +50.17229, -2110876.98,  3030771.31,  5316658.82,      55.389785,       -1.494566,  109917.79,  466718.97,       0.00,                5.84,   613.86,      0.00,           68280.47,     39.96,    -76.73,          38.23,  +4.96,  +1.61
  1,     UK003G,       0,  0.040208, 2459521.732359972317, 300.74775,  49.92862,                2.49468,  11.33225,         2.48955,       11.33211,    300.74775,     +49.92862,     300.75574,      +49.92870, -2109767.80,  3028966.45,  5316093.55,      55.402324,       -1.492850,  108251.44,  467645.27,    2192.56,             2186.72,   -78.05,  54530.46,           68280.47,    -19.00,     36.46,          18.14,  +2.85,  -0.50
  2,     UK003G,       0,  0.080492, 2459521.732360438909, 300.75432,  49.59383,                2.50475,  10.99758,         2.49739,       10.99738,    300.75432,     +49.59383,     300.76581,      +49.59394, -2108236.40,  3026474.56,  5315313.10,      55.419646,       -1.490415,  105951.27,  468938.19,    5219.74,             5213.90,    70.91,  75145.91,           68280.47,    -27.35,     52.49,          26.03,  +2.18,  -1.18
  3,     UK003G,       0,  0.120764, 2459521.732360905036, 300.78385,  49.27138,                2.49898,  10.67461,         2.50489,       10.67477,    300.78385,     +49.27138,     300.77545,      +49.27130, -2106752.33,  3024059.67,  5314556.78,      55.436444,       -1.488056,  103722.74,  470206.33,    8153.37,             8147.53,   127.19,  72845.46,           68280.47,     22.01,    -42.27,          20.90,  +1.63,  -1.73
  4,     UK003G,       0,  0.161004, 2459521.732361370698, 300.78326,  48.98678,                2.51145,  10.39027,         2.51134,       10.39027,    300.78326,     +48.98678,     300.78409,      +48.98678, -2105436.89,  3021919.18,  5313886.39,      55.451343,       -1.485980,  101747.89,  471342.72,   10753.65,            10747.81,  -147.61,  64619.28,           68233.89,     -0.41,      0.79,           0.39,  +1.74,  -1.63
  5,     UK003G,       0,  0.201284, 2459521.732361836825, 300.79958,  48.65331,                2.51463,  10.05664,         2.51913,       10.05676,    300.79958,     +48.65331,     300.79372,      +48.65324, -2103886.70,  3019396.70,  5313096.37,      55.468912,       -1.483501,   99421.16,  472696.85,   13817.99,            13812.15,    38.80,  76075.97,           69341.56,     16.87,    -32.39,          15.94,  +1.04,  -2.33
  6,     UK003G,       0,  0.241564, 2459521.732362302952, 300.79523,  48.32540,                2.53136,   9.72913,         2.52675,        9.72901,    300.79523,     +48.32540,     300.80308,      +48.32547, -2102354.52,  3016903.53,  5312315.52,      55.486290,       -1.481048,   97122.06,  474050.89,   16846.72,            16840.88,   189.60,  75191.87,           70364.25,    -17.38,     33.36,          16.37,  +1.58,  -1.80
  0,     UK004P,       0,  0.036241, 2459521.732359927613, 324.41679,  47.15526,              347.84665,   9.10549,       347.84444,        9.10499,    324.41679,     +47.15526,     324.41994,      +47.15433, -2110058.92,  3029440.16,  5316241.91,      55.399032,       -1.493329,  108688.77,  545096.35,       0.00,             1611.25,  -370.11,      0.00,           74671.85,     -3.71,     20.94,           8.05,  +1.78,  -1.90
  1,     UK004P,       0,  0.076505, 2459521.732360393275, 324.25747,  46.86496,              347.89723,   8.79959,       347.91417,        8.80347,    324.25747,     +46.86496,     324.23488,      +46.87201, -2108416.60,  3026767.77,  5315404.94,      55.417607,       -1.490705,  106221.90,  546458.80,    3246.44,             4857.70,    -0.45,  80628.94,           74671.85,     28.55,   -161.35,          61.85,  +1.13,  -2.56
  2,     UK004P,       0,  0.116725, 2459521.732360858936, 324.08288,  46.62574,              347.96927,   8.54178,       347.97418,        8.54290,    324.08288,     +46.62574,     324.07675,      +46.62778, -2106990.74,  3024447.61,  5314678.28,      55.433745,       -1.488445,  104080.71,  547654.84,    6065.01,             7676.26,   -55.53,  70078.63,           74671.85,      8.31,    -46.89,          17.94,  +0.72,  -2.97
  3,     UK004P,       0,  0.156965, 2459521.732361324597, 323.91807,  46.36513,              348.03152,   8.26429,       348.03799,        8.26578,    323.91807,     +46.36513,     323.91002,      +46.36781, -2105467.42,  3021968.86,  5313901.95,      55.450997,       -1.486016,  101793.73,  548945.56,    9076.21,            10687.46,    80.60,  74831.07,           74671.85,     10.99,    -62.04,          23.67,  +0.21,  -3.49
  4,     UK004P,       0,  0.197169, 2459521.732361789793, 323.74143,  46.14731,              348.11106,   8.02731,       348.09362,        8.02331,    323.74143,     +46.14731,     323.76565,      +46.14013, -2104128.74,  3019790.54,  5313219.72,      55.466168,       -1.483897,   99784.40,  550091.23,   11722.45,            13333.70,  -145.66,  65820.36,           72765.92,    -29.76,    167.62,          63.83,  +0.43,  -3.27
  5,     UK004P,       0,  0.237425, 2459521.732362255920, 323.60084,  45.85533,              348.15270,   7.72220,       348.16235,        7.72442,    323.60084,     +45.85533,     323.58893,      +45.85929, -2102470.81,  3017092.76,  5312374.79,      55.484971,       -1.481230,   97296.54,  551523.83,   14999.75,            16611.00,   255.42,  81411.43,           73456.89,     16.48,    -93.10,          35.36,  +0.46,  -3.25
  6,     UK004P,       0,  0.277625, 2459521.732362721115, 323.46729,  45.63136,              348.20313,   7.48482,       348.21646,        7.48788,    323.46729,     +45.63136,     323.45068,      +45.63681, -2101152.67,  3014947.88,  5311703.03,      55.499930,       -1.479140,   95319.03,  552674.51,   17605.36,            19216.62,   -11.18,  64816.28,           72778.65,     22.79,   -128.86,          48.84,  +2.34,  -1.37

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.