Orbital Analysis for matched events on 20210929_050413.073_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 90.68° Bg 1.94° Vg 69.43km/s
mass 0.03891g, abs. mag -1.6
Path Details
------------
start -1.51° 49.13° 111.81km
end   -1.53° 49.18° 99.27km

Orbit Details
-------------
Semimajor axis 5.25A.U., eccentricity 0.82, inclination 176.59°, Period 12.05Y, LA Sun 185.98°, last Perihelion 2009-09-28

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: 2459486.711262419354
Time: 2021-09-29 05:04:13.081843 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002D and UK0038
 Convergence angle = 12.60962 deg
 R.A. =  91.16666  Dec = +24.70041 deg
Intersection 2 - Stations: UK002D and UK003N
 Convergence angle = 33.50132 deg
 R.A. =  91.13883  Dec = +24.45602 deg
Intersection 3 - Stations: UK0038 and UK003N
 Convergence angle = 46.11086 deg
 R.A. =  91.19076  Dec = +24.51351 deg

Best intersection: Stations UK0038 and UK003N with Qconv = 46.11 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    538482.84 +/- 54.99 m
 Y =   4220512.92 +/- 197.44 m
 Z =   4884425.28 +/- 49.71 m
 Vx =    -1155.00 +/- 351.88 m/s
 Vy =    63434.94 +/- 1234.06 m/s
 Vz =    30291.73 +/- 1191.82 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.470171e+03, +1.434992e+03, -3.078861e+01, +2.151521e+04, -1.371184e+03, +1.771551e+03
+1.434992e+03, +3.349968e+04, -7.203082e+02, +2.136452e+04, +1.021538e+05, -3.253190e+04
-3.078861e+01, -7.203082e+02, +2.551683e+03, +1.255953e+03, -9.532095e+03, +4.175667e+02
+2.151521e+04, +2.136452e+04, +1.255953e+03, +1.577201e+05, +2.717091e+04, -2.538685e+03
-1.371184e+03, +1.021538e+05, -9.532095e+03, +2.717091e+04, +1.136655e+06, -3.450418e+05
+1.771551e+03, -3.253190e+04, +4.175667e+02, -2.538685e+03, -3.450418e+05, +1.085111e+05

Timing offsets (from input data):
    UK002D: -0.000008 s
    UK0038: 0.000000 s
    UK003N: -0.000715 s

Reference point on the trajectory:
  Time: 2021-09-29 05:04:13.081843 UTC
  Lon     = +-1.508864 +/- 0.0008 deg
  Lat     = +49.128758 +/- 0.0014 deg
  Lat geo = +48.941524 +/- 0.0014 deg
  Ht      =  111676.35 +/- 126.25 m

  JD dynamic   = 2459486.712063262239 
  LST apparent = 82.7290831413 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  91.04311 +/- 0.3316 deg
  Dec       = +25.52192 +/- 0.6964 deg
  Azimuth   = 161.64467 +/- 0.8187 deg
  Elevation = +65.52041 +/- 0.6746 deg
  Vavg      =  68.08635 +/- 0.8126 km/s
  Vinit     =  70.30587 +/- 0.9676 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  91.32015 +/- 0.3316 deg
  Dec       = +25.50591 +/- 0.6964 deg
  Azimuth   = 161.06748 +/- 0.8187 deg
  Elevation = +65.44689 +/- 0.6746 deg
  Vavg      =  68.12751 +/- 0.8126 km/s
  Vinit     =  70.34702 +/- 0.9676 km/s
Radiant (geocentric, J2000):
  R.A.   =  90.74683 +/- 0.3331 deg
  Dec    = +25.37253 +/- 0.6968 deg
  Vg     =  69.42513 +/- 0.9796 km/s
  Vinf   =  70.30587 +/- 0.9676 km/s
  Zc     =  24.30195 +/- 0.6742 deg
  Zg     =  24.45746 +/- 0.6743 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  90.67518 +/- 0.3018 deg
  Bg     =  +1.93659 +/- 0.6970 deg
  Vh     =  40.02850 +/- 0.9641 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  86.03793 +/- 0.5230 deg
  Bh     =  +3.36333 +/- 1.2257 deg
  Vh_x   =  -2.76105 +/- 0.3676 km/s
  Vh_y   = -39.86405 +/- 0.9992 km/s
  Vh_z   =  -2.34837 +/- 0.8301 km/s
Orbit:
  La Sun = 185.983594 +/- nan deg
  a      =   5.254823 +/- 126.9463 AU
  e      =   0.815673 +/- 0.0860
  i      = 176.585537 +/- 1.1979 deg
  peri   = 202.128488 +/- 30.6825 deg
  node   = 185.977765 +/- 30.6520 deg
  Pi     =  28.106253 +/- 1.5770 deg
  q      =   0.968607 +/- 0.0036 AU
  f      = 337.863481 +/- 1.6007 deg
  M      = 358.670171 +/- nan deg
  Q      =   9.541038 +/- 253.8912 AU
  n      =   0.081821 +/- 0.0429 deg/day
  T      =  12.045857 +/- 249443614.0758 years
  Last perihelion JD = 2455103.138805 (2009-09-28 15:19:52.758286) +/- 188351.3785 days
  Tj     =  -0.170190 +/- 0.4898
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.244948e-03, +9.676049e-05, -7.250543e+03, -1.016293e-05, -1.257334e-03, +1.373687e-03
q   , +9.676049e-05, +1.296841e-05, -2.785301e+02, -3.385785e-07, -9.042131e-05, +2.767536e-05
Tp  , -7.250543e+03, -2.785301e+02, +3.252865e+10, +3.331868e+01, +2.499421e+03, -1.853844e+03
node, -1.016293e-05, -3.385785e-07, +3.331868e+01, +3.647769e-08, +3.246482e-06, -2.641530e-06
peri, -1.257334e-03, -9.042131e-05, +2.499421e+03, +3.246482e-06, +7.066263e-04, -3.434873e-04
i   , +1.373687e-03, +2.767536e-05, -1.853844e+03, -2.641530e-06, -3.434873e-04, +3.644793e-04

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: UK0038
  Avg. res. = 2.681e-06 s
  Stddev    = 1.64e-03 s

Begin point on the trajectory:
  Lon =    -1.508613 +/- 0.0007 deg
  Lat =    49.128261 +/- 0.0013 deg
  Ht  = 111806.54 +/- 68.50 m
End point on the trajectory:
  Lon =    -1.533731 +/- 0.0005 deg
  Lat =    49.176226 +/- 0.0015 deg
  Ht  = 99271.25 +/- 73.02 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
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,   111806.54,    99271.25,          0.027663,     61.21,    114.68,              40.16, 0.4159,    True,    True, {"ff_name": "FF_UK002D_20210929_050406_698_0957184.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   109938.71,    99818.14,          0.011594,     36.25,     42.84,              39.88, 0.4110,    True,    True, {"ff_name": "FF_UK0038_20210929_050412_668_0956160.fits"}
    UK003N,   False,    -0.162561,    51.236425,  111.00,   0.000000,   0.000000,   109900.90,   100064.76,          0.018793,     13.26,     89.65,              47.38, 0.5415,    True,    True, {"ff_name": "FF_UK003N_20210929_050410_867_0969472.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,     UK002D,       0,  0.007834, 2459486.711262521334,  87.19193, -15.60521,              175.02640,  22.91396,       175.05083,       22.91732,     87.19193,     -15.60521,      87.16840,      -15.60312,   538480.49,  4220641.99,  4884486.91,      49.128261,       -1.508613,  111806.54,  274164.33,       0.00,              143.05,   451.59,      0.00,           68398.34,    -96.06,     51.26,          81.92,  +4.15,  +1.96
  1,     UK002D,       0,  0.048154, 2459486.711262987927,  87.16108, -15.97525,              175.08098,  22.54616,       175.11309,       22.55057,     87.16108,     -15.97525,      87.13019,      -15.97249,   538524.35,  4218233.32,  4883336.71,      49.137542,       -1.513474,  109377.02,  272163.49,    2669.56,             2526.51,     0.33,  66209.34,           68398.34,   -125.66,     67.07,         107.95,  +1.73,  -0.44
  2,     UK002D,       0,  0.088506, 2459486.711263454985,  87.10544, -16.39063,              175.16350,  22.13437,       175.18258,       22.13699,     87.10544,     -16.39063,      87.08722,      -16.38898,   538573.04,  4215558.99,  4882059.66,      49.147854,       -1.518860,  106679.75,  269955.66,    5633.56,             5490.51,   127.34,  73453.52,           68398.34,    -74.30,     39.62,          64.34,  +1.31,  -0.85
  3,     UK002D,       0,  0.128826, 2459486.711263921577,  87.09559, -16.76041,              175.19549,  21.76566,       175.24390,       21.77230,     87.09559,     -16.76041,      87.04884,      -16.75622,   538615.33,  4213236.49,  4880950.61,      49.156816,       -1.523565,  104337.49,  268050.02,    8207.62,             8064.57,  -133.33,  63840.84,           68398.34,   -187.52,    100.14,         163.58,  +0.84,  -1.30
  4,     UK002D,       0,  0.169202, 2459486.711264389101,  87.02807, -17.20347,              175.29061,  21.32675,       175.31721,       21.33041,     87.02807,     -17.20347,      87.00264,      -17.20114,   538665.77,  4210466.05,  4879627.65,      49.167516,       -1.529151,  101543.71,  265791.79,   11278.13,            11135.09,    98.52,  76048.02,           69642.85,   -102.50,     54.66,          90.15,  +0.94,  -1.18
  5,     UK002D,       0,  0.209518, 2459486.711264855694,  86.97632, -17.56986,              175.36443,  20.96351,       175.37797,       20.96538,     86.97632,     -17.56986,      86.96382,      -17.56867,   538706.81,  4208212.42,  4878551.49,      49.176226,       -1.533731,   99271.25,  263966.77,   13775.87,            13632.82,  -238.20,  61953.96,           68900.48,    -51.96,     27.68,          46.00,  +1.87,  -0.24
  0,     UK0038,       1,  0.000000, 2459486.711262419354,  95.65613, -15.35247,              165.61687,  22.20673,       165.62775,       22.20725,     95.65613,     -15.35247,      95.64570,      -15.35358,   538482.25,  4220545.64,  4884440.90,      49.128632,       -1.508763,  111709.36,  281275.33,       0.00,               36.27,   895.56,      0.00,           65888.67,    -37.79,     31.98,          36.30,  +5.48,  +3.23
  1,     UK0038,       0,  0.040220, 2459486.711262885015,  95.69445, -15.61185,              165.62258,  21.94479,       165.64485,       21.94584,     95.69445,     -15.61185,      95.67324,      -15.61414,   538514.21,  4218790.20,  4883602.64,      49.135395,       -1.512352,  109938.71,  279809.91,    1945.58,             1909.31,   -59.09,  48373.38,           65888.67,    -77.08,     65.25,          74.45,  +1.21,  -1.02
  2,     UK0038,       0,  0.080560, 2459486.711263351608,  95.71911, -16.02361,              165.66869,  21.53458,       165.67013,       21.53465,     95.71911,     -16.02361,      95.71802,      -16.02375,   538563.80,  4216066.49,  4882302.00,      49.145896,       -1.517832,  107191.58,  277549.38,    4964.31,             4928.05,   123.50,  74832.25,           65888.67,     -4.97,      4.21,           4.84,  +0.72,  -1.50
  3,     UK0038,       0,  0.120888, 2459486.711263818666,  95.75181, -16.42178,              165.70415,  21.13655,       165.69463,       21.13609,     95.75181,     -16.42178,      95.76149,      -16.42079,   538611.12,  4213467.92,  4881061.12,      49.155923,       -1.523075,  104570.89,  275406.16,    7844.34,             7808.08,   168.24,  71415.19,           65888.67,     32.65,    -27.59,          32.02,  +0.57,  -1.63
  4,     UK0038,       0,  0.161204, 2459486.711264285259,  95.80674, -16.80159,              165.71393,  20.75321,       165.71816,       20.75341,     95.80674,     -16.80159,      95.80327,      -16.80203,   538655.87,  4211010.16,  4879887.48,      49.165414,       -1.528049,  102092.39,  273391.42,   10568.31,            10532.05,    57.76,  67565.44,           67074.92,    -14.44,     12.21,          14.26,  +0.48,  -1.70
  5,     UK0038,       0,  0.201500, 2459486.711264751386,  95.85393, -17.15549,              165.72722,  20.39666,       165.74018,       20.39727,     95.85393,     -17.15549,      95.84209,      -17.15684,   538696.93,  4208754.80,  4878810.49,      49.174129,       -1.532631,   99818.14,  271553.28,   13067.96,            13031.70,  -275.63,  62032.32,           66693.50,    -44.00,     37.22,          43.78,  +0.81,  -1.36
  0,     UK003N,       0,  0.034480, 2459486.711262824945,  62.26837, -13.89474,              202.91394,  22.15103,       202.93748,       22.15940,     62.26837,     -13.89474,      62.24890,      -13.88116,   538514.89,  4218752.72,  4883584.74,      49.135540,       -1.512403,  109900.90,  277573.62,       0.00,             1950.86,   386.05,      0.00,           67667.23,   -111.93,    -16.56,          84.08,  +2.35,  +0.13
  1,     UK003N,       0,  0.074764, 2459486.711263291072,  62.06294, -14.18525,              203.04298,  21.81968,       203.07560,       21.83126,     62.06294,     -14.18525,      62.03603,      -14.16639,   538552.07,  4216710.94,  4882609.74,      49.143411,       -1.516553,  107841.55,  276079.63,    2262.93,             4213.79,  -183.23,  56174.37,           67667.23,   -154.52,    -22.84,         116.70,  +1.09,  -1.12
  2,     UK003N,       0,  0.115132, 2459486.711263758130,  61.73861, -14.54555,              203.27133,  21.39136,       203.26049,       21.38750,     61.73861,     -14.54555,      61.74812,      -14.55185,   538601.71,  4213984.65,  4881307.87,      49.153929,       -1.522044,  105091.99,  274099.79,    5284.52,             7235.38,     0.26,  74851.17,           67667.23,     51.10,      7.59,          38.88,  +0.59,  -1.60
  3,     UK003N,       0,  0.155488, 2459486.711264225189,  61.46916, -14.91035,              203.44103,  20.97189,       203.43380,       20.96932,     61.46916,     -14.91035,      61.47584,      -14.91458,   538647.82,  4211452.10,  4880098.52,      49.163707,       -1.527163,  102538.04,  272278.12,    8091.37,            10042.23,   -30.15,  69552.28,           67667.23,     33.99,      5.05,          26.03,  +0.63,  -1.55
  4,     UK003N,       0,  0.195840, 2459486.711264692247,  61.20761, -15.27067,              203.60217,  20.55850,       203.60300,       20.55879,     61.20761,     -15.27067,      61.20770,      -15.27018,   538692.48,  4208999.38,  4878927.28,      49.173184,       -1.532131,  100064.76,  270530.10,   10809.77,            12760.63,  -148.74,  67367.01,           68035.09,     -3.84,     -0.57,           2.96,  +1.21,  -0.95

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.