Orbital Analysis for matched events on 20210929_201652.394_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 76.49° Bg 45.99° Vg 53.06km/s
mass 0.01563g, abs. mag 0.3
Path Details
------------
start -1.76° 53.25° 104.32km
end   -1.81° 53.19° 98.22km

Orbit Details
-------------
Semimajor axis 7.50A.U., eccentricity 0.88, inclination 97.29°, Period 20.53Y, LA Sun 186.61°, last Perihelion 2001-04-15

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: 2459487.345050866250
Time: 2021-09-29 20:16:52.427191 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK002Z
 Convergence angle = 62.82970 deg
 R.A. =  63.25195  Dec = +68.69964 deg

Best intersection: Stations UK001L and UK002Z with Qconv = 62.83 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2563577.32 +/- 16.65 m
 Y =  -2921894.69 +/- 33.97 m
 Z =   5170607.19 +/- 83.31 m
 Vx =     8807.64 +/- 321.82 m/s
 Vy =    17670.85 +/- 698.21 m/s
 Vz =    50480.31 +/- 1192.16 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.512877e+02, +6.952077e+01, -1.976791e+02, +2.429985e+03, +5.345728e+03, +2.175420e+03
+6.952077e+01, +1.231050e+03, -4.034472e+02, +1.260196e+03, +1.475898e+04, +9.252732e+03
-1.976791e+02, -4.034472e+02, +1.154444e+03, -1.854541e+03, -5.965594e+03, +3.397603e+03
+2.429985e+03, +1.260196e+03, -1.854541e+03, +3.188301e+04, +7.346882e+04, +5.176488e+04
+5.345728e+03, +1.475898e+04, -5.965594e+03, +7.346882e+04, +2.920074e+05, +2.018331e+05
+2.175420e+03, +9.252732e+03, +3.397603e+03, +5.176488e+04, +2.018331e+05, +2.257450e+05

Timing offsets (from input data):
    UK001L: 0.000000 s
    UK002Z: -0.000973 s

Reference point on the trajectory:
  Time: 2021-09-29 20:16:52.427191 UTC
  Lon     = +-1.763904 +/- 0.0004 deg
  Lat     = +53.247144 +/- 0.0005 deg
  Lat geo = +53.065441 +/- 0.0005 deg
  Ht      =  104238.25 +/- 65.68 m

  JD dynamic   = 2459487.345851981547 
  LST apparent = 311.2626829082 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  63.50707 +/- 0.5529 deg
  Dec       = +68.63820 +/- 0.3319 deg
  Azimuth   =  26.78962 +/- 0.2549 deg
  Elevation = +41.58032 +/- 0.3367 deg
  Vavg      =  52.27576 +/- 0.1547 km/s
  Vinit     =  54.20420 +/- 1.1564 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  63.19977 +/- 0.5529 deg
  Dec       = +68.38010 +/- 0.3319 deg
  Azimuth   =  27.14604 +/- 0.2549 deg
  Elevation = +41.49030 +/- 0.3367 deg
  Vavg      =  52.37199 +/- 0.1547 km/s
  Vinit     =  54.30042 +/- 1.1564 km/s
Radiant (geocentric, J2000):
  R.A.   =  64.06462 +/- 0.5450 deg
  Dec    = +68.21047 +/- 0.3375 deg
  Vg     =  53.05525 +/- 1.1800 km/s
  Vinf   =  54.20420 +/- 1.1564 km/s
  Zc     =  48.58193 +/- 0.3365 deg
  Zg     =  49.13593 +/- 0.3415 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  76.48817 +/- 0.2256 deg
  Bg     = +45.98572 +/- 0.3602 deg
  Vh     =  40.65813 +/- 1.0237 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  26.94716 +/- 2.4280 deg
  Bh     = +69.80148 +/- 0.4372 deg
  Vh_x   = -12.51399 +/- 0.2355 km/s
  Vh_y   =  -6.36167 +/- 0.8173 km/s
  Vh_z   = -38.15773 +/- 0.9007 km/s
Orbit:
  La Sun = 186.606114 +/- -0.0000 deg
  a      =   7.497929 +/- 13.5062 AU
  e      =   0.881368 +/- 0.0870
  i      =  97.287872 +/- 0.9771 deg
  peri   = 220.441476 +/- 1.9273 deg
  node   = 186.605557 +/- 0.0000 deg
  Pi     =  47.047033 +/- 1.9274 deg
  q      =   0.889491 +/- 0.0058 AU
  f      = 319.556891 +/- 1.9273 deg
  M      = 358.693397 +/- nan deg
  Q      =  14.106367 +/- 27.0169 AU
  n      =   0.048006 +/- 0.0123 deg/day
  T      =  20.531118 +/- 489897921.6294 years
  Last perihelion JD = 2452015.442050 (2001-04-15 22:36:33.138845) +/- 21033.9053 days
  Tj     =   0.550226 +/- 0.5247
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.106734e-03, +4.367080e-05, -6.149631e+02, -1.182398e-08, -3.699850e-04, +4.088099e-04
q   , +4.367080e-05, +9.423559e-06, -4.354787e+00, +5.401180e-11, -4.049984e-05, -1.861218e-06
Tp  , -6.149631e+02, -4.354787e+00, +4.021727e+08, +8.383613e-03, +1.383476e+02, -2.898995e+02
node, -1.182398e-08, +5.401180e-11, +8.383613e-03, +1.977826e-13, +2.183572e-09, -6.843761e-09
peri, -3.699850e-04, -4.049984e-05, +1.383476e+02, +2.183572e-09, +2.108161e-04, -7.551430e-05
i   , +4.088099e-04, -1.861218e-06, -2.898995e+02, -6.843761e-09, -7.551430e-05, +2.368119e-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: UK001L
  Avg. res. = 1.917e-07 s
  Stddev    = 4.38e-04 s

Begin point on the trajectory:
  Lon =    -1.763312 +/- 0.0002 deg
  Lat =    53.247848 +/- 0.0003 deg
  Ht  = 104317.33 +/- 40.93 m
End point on the trajectory:
  Lon =    -1.809632 +/- 0.0004 deg
  Lat =    53.193536 +/- 0.0001 deg
  Ht  = 98221.40 +/- 30.99 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
    UK001L,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   104317.33,    98656.48,          0.010836,     14.06,     31.84,              31.02, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20210929_201649_538_0172288.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.031472,  45.817184,   103750.27,    98221.40,          0.008236,     12.87,     15.97,              83.42, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210929_201646_390_0179712.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,     UK001L,       0,  0.000000, 2459487.345051240642, 159.70901,  69.40330,              348.64651,  33.00509,       348.64485,       33.00807,    159.70901,     +69.40330,     159.71564,      +69.40562,  2563596.68, -2921855.85,  5170718.16,      53.247848,       -1.763312,  104317.33,  187836.47,       0.00,              119.15,   476.59,      0.00,           51951.28,     -9.87,     -4.35,          11.84,  +4.87,  +3.50
  1,     UK001L,       0,  0.040144, 2459487.345051705372, 160.36695,  69.18502,              348.29598,  32.88169,       348.30027,       32.87402,    160.36695,     +69.18502,     160.35002,      +69.17910,  2563272.56, -2922506.12,  5168860.53,      53.236070,       -1.773392,  102993.66,  186129.98,    1994.67,             1875.51,    56.97,  49687.83,           51951.28,     25.21,     11.11,          30.53,  +2.51,  +1.16
  2,     UK001L,       0,  0.080320, 2459487.345052170102, 160.94215,  68.93491,              347.96166,  32.72094,       347.95242,       32.73732,    160.94215,     +68.93491,     160.97902,      +68.94742,  2562950.34, -2923152.61,  5167013.71,      53.224355,       -1.783412,  101678.02,  184439.24,    3977.72,             3858.57,  -137.68,  49359.17,           51951.28,    -53.40,    -23.59,          65.28,  +2.37,  +1.04
  3,     UK001L,       0,  0.120500, 2459487.345052635297, 161.68505,  68.66030,              347.54617,  32.56222,       347.53992,       32.57323,    161.68505,     +68.66030,     161.71011,      +68.66861,  2562573.84, -2923907.99,  5164855.82,      53.210660,       -1.795091,  100141.19,  182470.92,    6294.80,             6175.65,     1.48,  57667.52,           51951.28,    -35.55,    -15.69,          43.93,  +2.24,  +0.93
  4,     UK001L,       0,  0.160672, 2459487.345053100493, 162.42394,  68.39381,              347.13146,  32.41457,       347.13411,       32.40992,    162.42394,     +68.39381,     162.41426,      +68.39034,  2562210.00, -2924637.96,  5162770.51,      53.197418,       -1.806381,   98656.48,  180576.83,    8533.94,             8414.79,    63.12,  55738.81,           53194.20,     14.87,      6.55,          18.56,  +2.46,  +1.18
  5,     UK001L,       1,  0.200804, 2459487.345053564757, 163.03801,  68.17752,              346.78590,  32.29972,       346.80042,       32.27446,    163.03801,     +68.17752,     162.98254,      +68.15880,  2561916.15, -2925227.50,  5161086.37,      53.186719,       -1.815529,   97457.69,  179053.43,   10342.32,            10223.16,  -303.82,  45060.64,           52388.45,     80.35,     35.34,         101.12,  +5.72,  +4.46
  0,     UK002Z,       0,  0.013610, 2459487.345051203389, 265.53653,  26.35255,              250.94867,  46.00976,       250.94175,       46.01264,    265.53653,     +26.35255,     265.54271,      +26.35178,  2563457.84, -2922134.41,  5169922.40,      53.242803,       -1.767545,  103750.27,  143100.25,       0.00,              735.31,   355.02,      0.00,           51247.24,    -10.90,      8.79,          20.17,  +2.69,  +1.91
  1,     UK002Z,       0,  0.054058, 2459487.345051671378, 265.43004,  25.62472,              250.40563,  45.38124,       250.40846,       45.38007,    265.43004,     +25.62472,     265.42766,      +25.62504,  2563159.24, -2922733.48,  5168211.04,      53.231951,       -1.776845,  102530.93,  142915.67,    1837.61,             2572.92,     0.17,  45431.36,           51247.24,      4.48,     -3.61,           8.30,  +1.71,  +0.93
  2,     UK002Z,       0,  0.094590, 2459487.345052140765, 265.28009,  24.79080,              249.82791,  44.64163,       249.80894,       44.64946,    265.28009,     +24.79080,     265.29744,      +24.78869,  2562816.46, -2923421.20,  5166246.42,      53.219486,       -1.787495,  101131.51,  142731.68,    3947.15,             4682.46,   -87.29,  52046.29,           51247.24,    -30.26,     24.39,          56.16,  +1.60,  +0.83
  3,     UK002Z,       0,  0.135142, 2459487.345052610151, 265.15900,  23.88645,              249.17845,  43.85829,       249.17879,       43.85815,    265.15900,     +23.88645,     265.15918,      +23.88648,  2562447.60, -2924161.25,  5164132.33,      53.206066,       -1.798941,   99626.03,  142567.84,    6217.20,             6952.51,   -15.33,  55978.69,           51247.24,      0.55,     -0.44,           1.02,  +1.58,  +0.81
  4,     UK002Z,       0,  0.175666, 2459487.345053079072, 265.03902,  23.04159,              248.59549,  43.11868,       248.60466,       43.11493,    265.03902,     +23.04159,     265.03141,      +23.04262,  2562103.36, -2924851.91,  5162159.32,      53.193536,       -1.809632,   98221.40,  142448.00,    8335.75,             9071.06,   -93.35,  52279.01,           51953.67,     14.86,    -11.99,          27.65,  +1.96,  +1.19
  5,     UK002Z,       1,  0.216090, 2459487.345053547062, 264.91736,  22.38333,              248.18046,  42.52434,       248.16540,       42.53049,    264.91736,     +22.38333,     264.93179,      +22.38164,  2561834.22, -2925391.88,  5160616.79,      53.183734,       -1.818027,   97123.48,  142377.92,    9992.08,            10727.39,  -628.17,  40973.91,           50590.70,    -24.55,     19.79,          45.68,  +5.06,  +4.29

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.