Orbital Analysis for matched events on 20210904_021500.599_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 36.79° Bg 28.10° Vg 57.00km/s
mass 0.01260g, abs. mag -0.0
Path Details
------------
start -0.05° 50.43° 105.14km
end   -0.07° 50.45° 94.22km

Orbit Details
-------------
Semimajor axis 16.05A.U., eccentricity 0.97, inclination 113.73°, Period 64.30Y, LA Sun 161.49°, last Perihelion 1957-06-24

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: 2459461.593756936025
Time: 2021-09-04 02:15:00.599273 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002B and UK002C
 Convergence angle = 20.78714 deg
 R.A. =  23.00766  Dec = +39.95633 deg
Intersection 2 - Stations: UK002B and UK002N
 Convergence angle = 47.22525 deg
 R.A. =  23.56806  Dec = +39.80247 deg
Intersection 3 - Stations: UK002C and UK002N
 Convergence angle = 26.43917 deg
 R.A. =  23.75163  Dec = +39.46698 deg

Best intersection: Stations UK002B and UK002N with Qconv = 47.23 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3954251.79 +/- 147.70 m
 Y =   1218546.85 +/- 129.04 m
 Z =   4974799.15 +/- 48.33 m
 Vx =    40824.29 +/- 734.29 m/s
 Vy =    17408.39 +/- 702.49 m/s
 Vz =    37457.70 +/- 905.23 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.331373e+04, +1.084096e+04, +3.652273e+03, +2.754697e+04, +1.856432e+04, -3.035004e+03
+1.084096e+04, +9.268227e+03, +3.117015e+03, +2.125145e+04, +1.679632e+04, -5.294640e+02
+3.652273e+03, +3.117015e+03, +1.142041e+03, +7.716451e+03, +6.556365e+03, -1.168607e+01
+2.754697e+04, +2.125145e+04, +7.716451e+03, +1.930638e+05, +1.784022e+05, +1.308923e+04
+1.856432e+04, +1.679632e+04, +6.556365e+03, +1.784022e+05, +1.924561e+05, +3.219489e+04
-3.035004e+03, -5.294640e+02, -1.168607e+01, +1.308923e+04, +3.219489e+04, +1.617515e+04

Timing offsets (from input data):
    UK0022: 0.000000 s
    UK002B: -0.000653 s
    UK002C: -0.001266 s
    UK002N: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-04 02:15:00.599273 UTC
  Lon     = +-0.051936 +/- 0.0011 deg
  Lat     = +50.434303 +/- 0.0010 deg
  Lat geo = +50.248285 +/- 0.0010 deg
  Ht      =  105155.20 +/- 149.74 m

  JD dynamic   = 2459461.594557676930 
  LST apparent = 17.1272661272 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  23.09449 +/- 0.4841 deg
  Dec       = +40.16446 +/- 0.5118 deg
  Azimuth   = 155.59454 +/- 1.0406 deg
  Elevation = +78.91454 +/- 0.5957 deg
  Vavg      =  55.56876 +/- 0.7070 km/s
  Vinit     =  58.07542 +/- 0.7833 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  23.48163 +/- 0.4841 deg
  Dec       = +40.14386 +/- 0.5118 deg
  Azimuth   = 154.20051 +/- 1.0406 deg
  Elevation = +78.79066 +/- 0.5957 deg
  Vavg      =  55.59351 +/- 0.7070 km/s
  Vinit     =  58.10017 +/- 0.7833 km/s
Radiant (geocentric, J2000):
  R.A.   =  22.82394 +/- 0.4861 deg
  Dec    = +39.95799 +/- 0.5137 deg
  Vg     =  57.00487 +/- 0.7976 km/s
  Vinf   =  58.07542 +/- 0.7833 km/s
  Zc     =  10.91633 +/- 0.5967 deg
  Zg     =  11.01819 +/- 0.5994 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  36.78534 +/- 0.2062 deg
  Bg     = +28.09750 +/- 0.6099 deg
  Vh     =  41.27849 +/- 0.4822 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =   3.60051 +/- 1.1433 deg
  Bh     = +40.57565 +/- 0.8681 deg
  Vh_x   = -31.29110 +/- 0.7228 km/s
  Vh_y   =  -1.96895 +/- 0.7000 km/s
  Vh_z   = -26.84965 +/- 0.1892 km/s
Orbit:
  La Sun = 161.488265 +/- 0.0000 deg
  a      =  16.050619 +/- 154.1145 AU
  e      =   0.968790 +/- 0.0227
  i      = 113.727633 +/- 1.7026 deg
  peri   = 271.307468 +/- 0.9409 deg
  node   = 161.488931 +/- 0.0001 deg
  Pi     =  72.796399 +/- 0.9410 deg
  q      =   0.500934 +/- 0.0039 AU
  f      = 268.690249 +/- 0.9409 deg
  M      = 359.386721 +/- nan deg
  Q      =  31.600304 +/- 308.2286 AU
  n      =   0.015327 +/- 0.0069 deg/day
  T      =  64.304048 +/- 498887521.3226 years
  Last perihelion JD = 2436014.144011 (1957-06-24 15:27:22.541242) +/- 116064.6905 days
  Tj     =  -0.026097 +/- 0.2628
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.692586e-04, +4.860102e-06, -1.352762e+03, -1.028085e-08, -9.957347e-05, +2.350626e-04
q   , +4.860102e-06, +1.367365e-05, -6.614621e+01, -7.226399e-10, -3.005783e-05, +1.653371e-05
Tp  , -1.352762e+03, -6.614621e+01, +1.388537e+10, +8.220180e-02, +8.458261e+02, -1.872326e+03
node, -1.028085e-08, -7.226399e-10, +8.220180e-02, +6.429405e-13, +6.909961e-09, -1.470492e-08
peri, -9.957347e-05, -3.005783e-05, +8.458261e+02, +6.909961e-09, +1.132479e-04, -1.580275e-04
i   , +2.350626e-04, +1.653371e-05, -1.872326e+03, -1.470492e-08, -1.580275e-04, +3.363435e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.011688
 a2 = 50.926129

Mean time residuals from time vs. length:
  Station with reference time: UK002N
  Avg. res. = 5.245e-06 s
  Stddev    = 2.29e-03 s

Begin point on the trajectory:
  Lon =    -0.051947 +/- 0.0011 deg
  Lat =    50.434317 +/- 0.0009 deg
  Ht  = 105143.45 +/- 133.02 m
End point on the trajectory:
  Lon =    -0.065057 +/- 0.0007 deg
  Lat =    50.451575 +/- 0.0006 deg
  Ht  = 94223.12 +/- 76.17 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
    UK0022,    True,    -0.848117,    51.261084,   92.00,   0.000000,   0.000000,    96145.76,    87906.02,          2.128552,       nan,       nan,              34.00, 0.0000,    True,    True, {"ff_name": "FF_UK0022_20210904_021453_602_0331264.fits"}
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.044637,  47.000422,   103499.38,    94753.02,          0.022219,     33.34,     43.38,              35.78, 0.3419,    True,    True, {"ff_name": "FF_UK002B_20210904_021451_324_0622592.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,  51.588792,   0.000000,   104122.69,    95136.58,          0.015788,     40.28,     33.53,              45.89, 0.5155,    True,    True, {"ff_name": "FF_UK002C_20210904_021449_988_0616704.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,   105143.45,    94223.12,          0.019160,     44.69,     15.87,              32.86, 0.2943,    True,    True, {"ff_name": "FF_UK002N_20210904_021458_329_0624896.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,     UK0022,       1, -0.710202, 2459461.593748716172,  41.78436,   7.67598,              145.26890,  41.61757,       148.11684,       41.46284,     41.78436,      +7.67598,      39.81973,       +6.79254,  3947798.00,  1215794.81,  4968877.57,      50.448538,       -0.059086,   96145.76,  143712.45,       0.00,             9180.98, 50858.61,     -0.00,           54340.06,  -2401.47,  -4791.15,        7693.79,  +5.06,  +4.27
  1,     UK0022,       1, -0.669958, 2459461.593749181833,  41.93892,   7.20756,              145.30265,  41.12536,       148.09732,       40.97515,     41.93892,      +7.20756,      39.99721,       +6.33753,  3946365.49,  1215183.96,  4967563.20,      50.451704,       -0.061504,   94146.05,  142076.54,    2037.84,            11218.82, 50559.26,  50637.07,           54340.06,  -2341.40,  -4685.52,        7606.13,  +3.39,  +2.63
  2,     UK0022,       1, -0.629702, 2459461.593749647960,  42.18958,   6.65461,              145.25811,  40.51994,       148.07228,       40.36854,     42.18958,      +6.65461,      40.21833,       +5.77180,  3944629.45,  1214443.67,  4965970.32,      50.455542,       -0.064402,   91722.64,  140109.14,    4507.48,            13688.46, 50691.02,  61348.47,           54340.06,  -2346.35,  -4695.20,        7728.99,  +1.75,  +1.02
  3,     UK0022,       1, -0.589438, 2459461.593750113621,  42.33022,   6.17311,              145.31344,  40.02035,       148.05337,       39.87504,     42.33022,      +6.17311,      40.39710,       +5.31120,  3943251.10,  1213855.91,  4964705.63,      50.458591,       -0.066739,   89798.54,  138557.59,    6468.28,            15649.26, 50313.47,  48698.60,           54340.06,  -2268.42,  -4557.07,        7579.64,  +1.44,  +0.73
  4,     UK0022,       1, -0.549230, 2459461.593750579283,  42.54001,   5.72341,              145.26958,  39.52575,       148.03471,       39.37879,     42.54001,      +5.72341,      40.57653,       +4.84796,  3941895.35,  1213277.79,  4963461.69,      50.461593,       -0.069042,   87906.02,  137041.67,    8396.92,            17577.90, 49907.02,  47966.59,           52736.20,  -2281.27,  -4580.90,        7704.27,  +1.94,  +1.26
  0,     UK002B,       0,  0.036693, 2459461.593757368159,  60.03639,  21.31896,              113.88674,  44.71565,       113.87665,       44.71720,     60.03639,     +21.31896,      60.04155,      +21.32462,  3953067.60,  1218041.88,  4973712.61,      50.436912,       -0.053946,  103499.38,  145890.03,       0.00,             1684.61,   -14.00,      0.00,           57463.07,     14.81,     11.38,          26.40,  +1.79,  +0.97
  1,     UK002B,       0,  0.077161, 2459461.593757836614,  60.49939,  20.94661,              113.73522,  44.15579,       113.71104,       44.15949,     60.49939,     +20.94661,      60.51185,      +20.96026,  3951366.01,  1217316.29,  4972151.35,      50.440663,       -0.056781,  101123.66,  143944.31,    2420.62,             4105.23,    56.43,  59815.74,           57463.07,     35.33,     27.16,          63.85,  +1.17,  +0.38
  2,     UK002B,       0,  0.117641, 2459461.593758305069,  60.97257,  20.56134,              113.58385,  43.57933,       113.54388,       43.58543,     60.97257,     +20.56134,      60.99333,      +20.58405,  3949661.89,  1216589.61,  4970587.75,      50.444423,       -0.059622,   98744.42,  142010.38,    4844.86,             6529.46,   129.77,  59887.24,           57463.07,     58.14,     44.70,         106.52,  +0.89,  +0.13
  3,     UK002B,       0,  0.158073, 2459461.593758773059,  61.40205,  20.23215,              113.42860,  43.07173,       113.39859,       43.07632,     61.40205,     +20.23215,      61.41806,      +20.24930,  3948187.63,  1215960.96,  4969235.07,      50.447678,       -0.062105,   96686.08,  140348.53,    6942.09,             8626.70,  -121.10,  51870.66,           57463.07,     43.49,     33.44,          80.62,  +0.68,  -0.06
  4,     UK002B,       0,  0.198501, 2459461.593759241048,  61.84181,  19.94734,              113.22566,  42.59262,       113.26141,       42.58715,     61.84181,     +19.94734,      61.82422,      +19.92677,  3946803.12,  1215370.57,  4967964.73,      50.450737,       -0.064448,   94753.02,  138798.11,    8911.66,            10596.27,  -499.41,  48717.91,           55237.44,    -51.67,    -39.67,          96.80,  +2.01,  +1.30
  0,     UK002C,       0,  0.024434, 2459461.593757234048,  56.72352,   4.74306,              128.97639,  32.12922,       128.95204,       32.13157,     56.72352,      +4.74306,      56.74055,       +4.75515,  3953514.03,  1218232.25,  4974122.23,      50.435928,       -0.053199,  104122.69,  191703.52,       0.00,             1049.53,    62.89,      0.00,           60524.40,     44.44,     53.37,          74.72,  +3.17,  +1.76
  1,     UK002C,       0,  0.064790, 2459461.593757701106,  56.96025,   4.41114,              128.92414,  31.72439,       128.90041,       31.72667,     56.96025,      +4.41114,      56.97709,       +4.42297,  3952198.18,  1217671.15,  4972914.89,      50.438828,       -0.055428,  102285.46,  190413.62,    1871.89,             2921.41,  -408.91,  46384.39,           60524.40,     43.20,     51.88,          73.13,  +2.55,  +1.15
  2,     UK002C,       0,  0.105318, 2459461.593758170027,  57.31430,   3.91692,              128.84513,  31.12073,       128.82306,       31.12286,     57.31430,      +3.91692,      57.33025,       +3.92798,  3950270.59,  1216849.18,  4971146.26,      50.443080,       -0.058619,   99594.24,  188545.39,    4614.02,             5663.55,   -20.46,  67660.25,           60524.40,     40.04,     48.09,          68.45,  +1.45,  +0.07
  3,     UK002C,       0,  0.145834, 2459461.593758638948,  57.67008,   3.43888,              128.75569,  30.53025,       128.74828,       30.53096,     57.67008,      +3.43888,      57.67593,       +3.44262,  3948417.18,  1216058.84,  4969445.69,      50.447171,       -0.061696,   97006.62,  186769.13,    7250.62,             8300.14,   263.15,  65075.38,           60524.40,     13.40,     16.09,          23.12,  +1.10,  -0.26
  4,     UK002C,       0,  0.186218, 2459461.593759106472,  57.92817,   3.08612,              128.69459,  30.09660,       128.69470,       30.09659,     57.92817,      +3.08612,      57.92887,       +3.08607,  3947077.81,  1215487.70,  4968216.77,      50.450130,       -0.063968,   95136.58,  185496.03,    9155.97,            10205.50,  -176.81,  47180.94,           58554.54,     -0.20,     -0.24,           0.34,  +2.75,  +1.41
  0,     UK002N,       0,  0.000000, 2459461.593756936025,  35.91224,   8.84801,              152.42889,  44.66455,       152.44072,       44.66441,     35.91224,      +8.84801,      35.90413,       +8.84541,  3954245.09,  1218544.00,  4974793.01,      50.434317,       -0.051947,  105143.45,  148272.80,       0.00,                9.53,   441.89,      0.00,           55508.97,     -7.29,    -20.53,          30.30,  +3.44,  +2.58
  1,     UK002N,       0,  0.040320, 2459461.593757402617,  36.01261,   8.49118,              152.44240,  44.29431,       152.43828,       44.29435,     36.01261,      +8.49118,      36.01562,       +8.49209,  3953026.77,  1218024.48,  4973675.15,      50.437002,       -0.054022,  103442.36,  146823.77,    1733.15,             1742.68,  -166.57,  42984.78,           55508.97,      2.53,      7.13,          10.63,  +1.53,  +0.70
  2,     UK002N,       0,  0.080812, 2459461.593757871538,  36.20578,   7.95165,              152.40778,  43.72244,       152.43158,       43.72216,     36.20578,      +7.95165,      36.18959,       +7.94635,  3951191.46,  1217241.86,  4971991.19,      50.441048,       -0.057067,  100879.96,  144654.84,    4344.01,             4353.54,    92.71,  64478.59,           55508.97,    -14.53,    -40.93,          61.92,  +1.13,  +0.33
  3,     UK002N,       0,  0.121252, 2459461.593758339528,  36.35760,   7.46406,              152.40605,  43.21217,       152.42648,       43.21193,     36.35760,      +7.46406,      36.34381,       +7.45948,  3949599.26,  1216562.91,  4970530.29,      50.444561,       -0.059733,   98656.96,  142784.68,    6609.02,             6618.55,     9.15,  56009.18,           55508.97,    -12.41,    -34.98,          53.62,  +0.66,  -0.11
  4,     UK002N,       0,  0.161720, 2459461.593758807983,  36.54340,   6.95772,              152.36745,  42.67407,       152.42103,       42.67344,     36.54340,      +6.95772,      36.50631,       +6.94561,  3947962.90,  1215865.13,  4969028.87,      50.448174,       -0.062470,   96372.33,  140874.87,    8936.87,             8946.40,   -13.20,  57523.08,           56261.15,    -32.43,    -91.28,         141.83,  +0.81,  +0.07
  5,     UK002N,       0,  0.202168, 2459461.593759275973,  36.66878,   6.45157,              152.40635,  42.15361,       152.41620,       42.15350,     36.66878,      +6.45157,      36.66262,       +6.44933,  3946423.54,  1215208.71,  4967616.46,      50.451575,       -0.065057,   94223.12,  139089.69,   11126.71,            11136.24,  -172.39,  54139.65,           56172.70,     -5.92,    -16.72,          26.30,  +2.35,  +1.63

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.