Orbital Analysis for matched events on 20210810_021643.508_UK

Summary for Event
-----------------
shower ID 26 NDA
Lg 347.00° Bg 5.70° Vg 38.90km/s
mass 0.04402g, abs. mag 0.1
Path Details
------------
start -3.01° 50.78° 97.15km
end   -2.99° 50.88° 87.18km

Orbit Details
-------------
Semimajor axis 1.86A.U., eccentricity 0.96, inclination 20.61°, Period 2.53Y, LA Sun 137.40°, last Perihelion 2019-03-04

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: 2459436.594948014710
Time: 2021-08-10 02:16:43.508471 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK003H
 Convergence angle = 1.57675 deg
 R.A. = 341.66290  Dec =  +5.31288 deg

Best intersection: Stations UK000H and UK003H with Qconv = 1.58 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4039818.57 +/- 1318.29 m
 Y =   -715046.81 +/- 814.60 m
 Z =   4993353.66 +/- 432.83 m
 Vx =    39268.38 +/- 8057.07 m/s
 Vy =    -9674.03 +/- 72.49 m/s
 Vz =      897.38 +/- 1849.24 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.577180e+05, -1.535975e+05, +8.597320e+04, -5.086990e+05, +3.302705e+05, -1.434628e+05
-1.535975e+05, +9.234068e+04, -5.152924e+04, +2.845620e+05, -1.832300e+05, +7.886645e+04
+8.597320e+04, -5.152924e+04, +2.895799e+04, -1.675976e+05, +1.083642e+05, -4.656968e+04
-5.086990e+05, +2.845620e+05, -1.675976e+05, +1.705423e+06, -1.141305e+06, +5.162641e+05
+3.302705e+05, -1.832300e+05, +1.083642e+05, -1.141305e+06, +9.659943e+05, -5.111305e+05
-1.434628e+05, +7.886645e+04, -4.656968e+04, +5.162641e+05, -5.111305e+05, +2.933967e+05

Timing offsets (from input data):
    UK000H: 0.018323 s
    UK000T: 0.000000 s
    UK003H: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 02:16:43.508471 UTC
  Lon     = +-3.005445 +/- 0.0080 deg
  Lat     = +50.778787 +/- 0.0075 deg
  Lat geo = +50.592977 +/- 0.0074 deg
  Ht      =   97189.61 +/- 1245.82 m

  JD dynamic   = 2459436.595748755615 
  LST apparent = 349.9626207132 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 346.16039 +/- 2.8416 deg
  Dec       =  +1.27113 +/- 2.3816 deg
  Azimuth   = 184.99334 +/- 4.0100 deg
  Elevation = +40.38759 +/- 2.1615 deg
  Vavg      =  40.25209 +/- 4.6198 km/s
  Vinit     =  40.45241 +/- 7.6851 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 346.58349 +/- 2.8416 deg
  Dec       =  +1.27172 +/- 2.3816 deg
  Azimuth   = 184.43868 +/- 4.0100 deg
  Elevation = +40.41018 +/- 2.1615 deg
  Vavg      =  40.23336 +/- 4.6198 km/s
  Vinit     =  40.43368 +/- 7.6851 km/s
Radiant (geocentric, J2000):
  R.A.   = 345.82638 +/- 2.8553 deg
  Dec    =  +0.12285 +/- 2.5987 deg
  Vg     =  38.89788 +/- 7.8714 km/s
  Vinf   =  40.45241 +/- 7.6851 km/s
  Zc     =  49.42730 +/- 2.1599 deg
  Zg     =  50.46048 +/- 2.3712 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 347.00195 +/- 1.6439 deg
  Bg     =  +5.70236 +/- 3.4982 deg
  Vh     =  35.66931 +/- 7.2079 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 300.56235 +/- 4.4639 deg
  Bh     =  +6.22224 +/- 3.8562 deg
  Vh_x   = -18.03013 +/- 6.8131 km/s
  Vh_y   =  30.53307 +/- 3.0574 km/s
  Vh_z   =  -3.86603 +/- 4.0194 km/s
Orbit:
  La Sun = 137.400231 +/- -0.0000 deg
  a      =   1.856210 +/- 8.3685 AU
  e      =   0.961682 +/- 0.0911
  i      =  20.614610 +/- 21.8553 deg
  peri   = 333.721186 +/- 31.6225 deg
  node   = 137.410637 +/- 30.6510 deg
  Pi     = 111.131823 +/- 9.3336 deg
  q      =   0.071125 +/- 0.0213 AU
  f      = 206.269188 +/- 9.3328 deg
  M      = 346.738987 +/- nan deg
  Q      =   3.641295 +/- 16.7373 AU
  n      =   0.389730 +/- 0.9021 deg/day
  T      =   2.528957 +/- 498887645.5202 years
  Last perihelion JD = 2458546.904425 (2019-03-04 09:42:22.283978) +/- 7889.4614 days
  Tj     =   3.110211 +/- 4.0832
Shower association:
  IAU No.  =   26
  IAU code =  NDA

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +7.449683e-05, -1.438310e-05, -1.253459e+01, +4.348382e-04, -5.302965e-04, +6.370489e-04
q   , -1.438310e-05, +1.495236e-05, -5.185951e-01, -1.055620e-03, +1.013705e-03, +5.007814e-05
Tp  , -1.253459e+01, -5.185951e-01, +7.203611e+06, +1.508941e+01, +1.302045e+01, -1.260428e+02
node, +4.348382e-04, -1.055620e-03, +1.508941e+01, +9.417796e-02, -8.977355e-02, -1.163736e-02
peri, -5.302965e-04, +1.013705e-03, +1.302045e+01, -8.977355e-02, +8.579242e-02, +9.944693e-03
i   , +6.370489e-04, +5.007814e-05, -1.260428e+02, -1.163736e-02, +9.944693e-03, +8.107693e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.004759
 a2 = 27.303932

Mean time residuals from time vs. length:
  Station with reference time: UK003H
  Avg. res. = 9.087e-07 s
  Stddev    = 9.53e-04 s

Begin point on the trajectory:
  Lon =    -3.005384 +/- 0.0080 deg
  Lat =    50.779230 +/- 0.0075 deg
  Ht  = 97146.88 +/- 1248.42 m
End point on the trajectory:
  Lon =    -2.992607 +/- 0.0103 deg
  Lat =    50.882793 +/- 0.0002 deg
  Ht  = 87184.17 +/- 764.14 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.056328,  20.572787,    94400.94,    87184.17,          0.007449,      4.45,     15.83,              48.57, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210810_021643_122_0536832.fits"}
    UK000T,    True,    -3.557111,    51.483925,   37.50, 29136.646804,   0.386133,   104046.44,    95305.37,          0.140148,       nan,       nan,              25.55, 0.0000,    True,   False, {"ff_name": "FF_UK000T_20210810_021640_256_0524032.fits"}
    UK003H,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,    97146.88,    89783.95,          0.013860,      7.92,     28.95,              17.17, 1.0000,    True,    True, {"ff_name": "FF_UK003H_20210810_021642_692_0532480.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,     UK000H,       0,  0.104873, 2459436.594949014485, 296.93390,  32.85239,              266.79597,  46.92948,       266.80093,       46.93683,    296.93390,     +32.85239,     296.93817,      +32.85979,  4035639.58,  -714017.29,  4993258.15,      50.807722,       -3.001816,   94400.94,  128370.57,       0.00,             4305.00,   -20.91,      0.00,           40854.94,    -17.46,      4.90,          29.14,  +2.65,  +2.11
  1,     UK000H,       0,  0.144765, 2459436.594949475955, 296.28229,  33.08057,              267.57334,  46.66919,       267.58318,       46.68348,    296.28229,     +33.08057,     296.29036,      +33.09506,  4034099.90,  -713637.98,  4993222.97,      50.818389,       -3.000511,   93373.89,  127496.29,    1586.11,             5891.11,   -48.53,  39760.04,           40854.94,    -33.86,      9.51,          56.89,  +1.12,  +0.59
  2,     UK000H,       0,  0.184613, 2459436.594949937426, 295.54830,  33.36128,              268.46721,  46.39049,       268.46595,       46.38870,    295.54830,     +33.36128,     295.54806,      +33.35946,  4032369.75,  -713211.74,  4993183.43,      50.830379,       -2.999022,   92220.06,  126529.33,    3368.42,             7673.42,   121.84,  44727.73,           40854.94,      4.22,     -1.19,           7.15,  +0.54,  +0.03
  3,     UK000H,       0,  0.224509, 2459436.594950398896, 294.92165,  33.57319,              269.19355,  46.13358,       269.19579,       46.13670,    294.92165,     +33.57319,     294.92413,      +33.57641,  4030944.81,  -712860.70,  4993150.87,      50.840258,       -2.997823,   91269.95,  125747.73,    4836.32,             9141.32,   -24.15,  36793.26,           40854.94,     -7.37,      2.07,          12.56,  +0.30,  -0.20
  4,     UK000H,       0,  0.264385, 2459436.594950860366, 294.23819,  33.81099,              269.98650,  45.85708,       269.98592,       45.85628,    294.23819,     +33.81099,     294.23881,      +33.81016,  4029407.02,  -712481.85,  4993115.73,      50.850922,       -2.996516,   90244.80,  124917.41,    6420.49,            10725.49,   -53.06,  39727.30,           40352.09,      1.88,     -0.53,           3.22,  +0.44,  -0.04
  5,     UK000H,       0,  0.304249, 2459436.594951321837, 293.47175,  34.06601,              270.85512,  45.53877,       270.85498,       45.53858,    293.47175,     +34.06601,     293.47284,      +34.06582,  4027720.75,  -712066.43,  4993077.19,      50.862619,       -2.995065,   89120.93,  124022.98,    8157.60,            12462.60,    71.46,  43576.00,           40668.84,      0.44,     -0.12,           0.76,  +0.29,  -0.18
  6,     UK000H,       0,  0.344149, 2459436.594951783773, 292.82532,  34.26587,              271.56484,  45.26005,       271.57114,       45.26833,    292.82532,     +34.26587,     292.83087,      +34.27460,  4026334.69,  -711724.96,  4993045.52,      50.872237,       -2.993902,   88197.31,  123302.68,    9585.46,            13890.46,  -114.74,  35785.80,           40258.46,    -19.46,      5.47,          33.82,  +0.56,  +0.11
  7,     UK000H,       0,  0.384013, 2459436.594952245243, 292.11514,  34.50729,              272.36174,  44.96765,       272.35846,       44.96341,    292.11514,     +34.50729,     292.11455,      +34.50278,  4024813.97,  -711350.33,  4993010.76,      50.882793,       -2.992607,   87184.17,  122525.84,   11152.02,            15457.02,  -160.77,  39297.80,           40007.47,      9.95,     -2.80,          17.41,  +1.00,  +0.56
  8,     UK000H,       1,  0.423901, 2459436.594952706713, 291.44729,  34.71499,              273.08416,  44.68003,       273.08072,       44.67566,    291.44729,     +34.71499,     291.44681,      +34.71031,  4023421.26,  -711007.22,  4992978.94,      50.892463,       -2.991435,   86256.48,  121828.38,   12586.73,            16891.73,  -339.63,  35968.44,           39620.99,     10.25,     -2.88,          18.03,  +4.57,  +4.14
  0,     UK000T,       1,  4.761990, 2459436.595003130380,   5.02512,  10.98565,              156.95366,  47.54989,       156.87907,       47.30596,      5.02512,     +10.98565,       5.15654,      +10.76193,  4050245.19,  -717615.48,  4993591.93,      50.706704,       -3.035260,  104046.44,  140620.25,       0.00,            10741.00, -181976.52,      0.00,           48534.67,    176.58,   -585.65,         896.74,  +3.79,  +3.05
  1,     UK000T,       1,  4.801826, 2459436.595003591385,   5.29944,  11.06180,              156.53915,  47.55617,       156.48139,       47.36001,      5.29944,     +11.06180,       5.40851,      +10.88189,  4048422.01,  -717166.33,  4993550.27,      50.719298,       -3.033696,  102826.02,  138865.38,    1878.15,             8862.85, -185466.14,  47147.04,           48534.67,    141.08,   -464.05,         720.01,  +3.10,  +2.39
  2,     UK000T,       1,  4.841650, 2459436.595004052389,   5.59468,  11.14094,              156.09414,  47.55884,       156.05392,       47.41635,      5.59468,     +11.14094,       5.67904,      +11.01024,  4046517.51,  -716697.14,  4993506.74,      50.732458,       -3.032053,  101551.57,  137035.94,    3840.07,             6900.93, -189039.04,  49264.83,           48534.67,    101.81,   -331.89,         522.21,  +1.93,  +1.25
  3,     UK000T,       1,  4.881470, 2459436.595004513394,   5.89512,  11.22258,              155.64094,  47.56119,       155.61691,       47.47220,      5.89512,     +11.22258,       5.95525,      +11.14095,  4044625.40,  -716231.01,  4993463.50,      50.745538,       -3.030420,  100285.72,  135222.04,    5789.24,             4951.77, -192599.01,  48949.37,           48534.67,     63.15,   -204.08,         325.65,  +1.37,  +0.71
  4,     UK000T,       1,  4.921278, 2459436.595004973933,   6.21968,  11.30951,              155.15198,  47.56088,       155.14417,       47.53049,      6.21968,     +11.30951,       6.25369,      +11.28163,  4042639.78,  -715741.83,  4993418.13,      50.759270,       -3.028696,   98957.75,  133322.85,    7834.73,             2906.27, -196254.84,  51384.06,           49170.09,     21.41,    -68.56,         111.04,  +1.30,  +0.68
  5,     UK000T,       1,  4.961090, 2459436.595005434938,   6.51452,  11.39614,              154.70483,  47.56651,       154.70877,       47.58260,      6.51452,     +11.39614,       6.52818,      +11.41090,  4040860.39,  -715303.47,  4993377.46,      50.771581,       -3.027167,   97767.82,  131624.15,    9667.78,             1073.23, -199698.38,  46042.47,           48905.02,    -11.24,     35.76,          58.70,  +1.28,  +0.68
  6,     UK000T,       1,  5.000906, 2459436.595005895477,   6.83237,  11.47577,              154.22847,  47.55778,       154.24665,       47.63592,      6.83237,     +11.47577,       6.81922,      +11.54748,  4039025.14,  -714851.34,  4993335.52,      50.784282,       -3.025583,   96540.90,  129876.11,   11558.36,              817.35, -201564.90,  47482.98,           48657.98,    -54.26,    171.01,         284.74,  +1.37,  +0.80
  7,     UK000T,       1,  5.040710, 2459436.595006356481,   7.15763,  11.56539,              153.73792,  47.55500,       153.76742,       47.68911,      7.15763,     +11.56539,       7.12071,      +11.68850,  4037176.55,  -714395.93,  4993293.28,      50.797081,       -3.023984,   95305.37,  128119.50,   13462.69,             2721.69, -201270.74,  47842.71,           48487.13,    -92.41,    288.98,         488.11,  +1.77,  +1.23
  0,     UK003H,       0,  0.000000, 2459436.594948014710, 328.65273,  15.96609,              214.38460,  50.50798,       214.36741,       50.54332,    328.65273,     +15.96609,     328.67679,      +15.99495,  4039754.56,  -715031.04,  4993352.19,      50.779230,       -3.005384,   97146.88,  124972.88,       0.00,               65.94,   -17.59,      0.00,           40670.47,    -77.81,     21.29,         133.15,  +3.24,  +2.76
  1,     UK003H,       0,  0.040028, 2459436.594948478043, 328.43497,  16.17905,              214.81452,  50.62871,       214.81533,       50.62702,    328.43497,     +16.17905,     328.43398,      +16.17767,  4038165.45,  -714639.55,  4993315.88,      50.790230,       -3.004035,   96086.28,  123468.11,    1637.03,             1702.97,     0.21,  40897.12,           40670.47,      3.67,     -1.00,           6.36,  +1.40,  +0.94
  2,     UK003H,       0,  0.080096, 2459436.594948941842, 328.18192,  16.36087,              215.27719,  50.70664,       215.27521,       50.71085,    328.18192,     +16.36087,     328.18511,      +16.36430,  4036578.84,  -714248.68,  4993279.62,      50.801216,       -3.002687,   95027.58,  121969.09,    3271.47,             3337.42,    13.80,  40791.76,           40670.47,     -9.03,      2.47,          15.84,  +0.75,  +0.32
  3,     UK003H,       0,  0.120152, 2459436.594949405175, 327.93505,  16.55609,              215.74029,  50.79783,       215.74216,       50.79379,    327.93505,     +16.55609,     327.93281,      +16.55280,  4035012.52,  -713862.81,  4993243.83,      50.812066,       -3.001358,   93982.64,  120492.71,    4885.02,             4950.96,     6.99,  40282.27,           40670.47,      8.55,     -2.34,          15.17,  +0.86,  +0.46
  4,     UK003H,       0,  0.160220, 2459436.594949868973, 327.67068,  16.74460,              216.22508,  50.87498,       216.22411,       50.87714,    327.67068,     +16.74460,     327.67281,      +16.74635,  4033440.53,  -713475.54,  4993207.90,      50.822958,       -3.000022,   92934.13,  119014.52,    6504.41,             6570.35,     5.53,  40416.08,           40584.80,     -4.50,      1.23,           8.09,  +0.60,  +0.22
  5,     UK003H,       0,  0.200284, 2459436.594950332772, 327.40719,  16.94630,              216.71788,  50.96310,       216.71908,       50.96038,    327.40719,     +16.94630,     327.40619,      +16.94408,  4031871.30,  -713088.95,  4993172.04,      50.833835,       -2.998687,   91887.68,  117542.60,    8120.96,             8186.90,     1.40,  40349.19,           40526.66,      5.60,     -1.53,          10.18,  +0.65,  +0.30
  6,     UK003H,       0,  0.240356, 2459436.594950796571, 327.13160,  17.14538,              217.22721,  51.04269,       217.22696,       51.04330,    327.13160,     +17.14538,     327.13301,      +17.14588,  4030306.49,  -712703.44,  4993136.28,      50.844684,       -2.997355,   90844.40,  116078.65,    9732.95,             9798.89,    -7.62,  40227.36,           40473.82,     -1.23,      0.34,           2.27,  +0.97,  +0.65
  7,     UK003H,       0,  0.280420, 2459436.594951260369, 326.85337,  17.36437,              217.75405,  51.13785,       217.75837,       51.12747,    326.85337,     +17.36437,     326.84758,      +17.35594,  4028715.59,  -712311.52,  4993099.92,      50.855718,       -2.995998,   89783.95,  114594.25,   11371.82,            11437.76,    10.56,  40906.27,           40487.85,     20.70,     -5.66,          38.62,  +0.86,  +0.56
  8,     UK003H,       1,  0.320532, 2459436.594951724634, 326.49358,  17.59085,              218.40065,  51.20651,       218.39321,       51.22513,    326.49358,     +17.59085,     326.50733,      +17.60596,  4026871.16,  -711857.13,  4993057.77,      50.868514,       -2.994395,   88554.80,  112877.90,   13271.86,            13337.81,   287.98,  47368.42,           40953.73,    -36.47,      9.98,          69.09,  +6.08,  +5.82

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.