Orbital Analysis for matched events on 20210813_233150.586_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 71.42° Bg 33.68° Vg 60.46km/s
mass 0.01429g, abs. mag 0.2
Path Details
------------
start -1.60° 49.37° 108.12km
end   -1.73° 49.26° 98.69km

Orbit Details
-------------
Semimajor axis 50.38A.U., eccentricity 0.98, inclination 117.95°, Period 357.64Y, LA Sun 141.13°, last Perihelion 2021-07-14

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: 2459440.480446603149
Time: 2021-08-13 23:31:50.604255 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK002D
 Convergence angle = 3.95128 deg
 R.A. =  74.62666  Dec = +54.30237 deg
Intersection 2 - Stations: UK000H and UK0038
 Convergence angle = 11.39177 deg
 R.A. =  61.81222  Dec = +56.02992 deg
Intersection 3 - Stations: UK002D and UK0038
 Convergence angle = 7.49195 deg
 R.A. =  54.80482  Dec = +55.59242 deg

Best intersection: Stations UK000H and UK0038 with Qconv = 11.39 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2938683.83 +/- 471.08 m
 Y =  -3044313.93 +/- 403.30 m
 Z =   4900818.34 +/- 214.29 m
 Vx =    16257.44 +/- 2885.52 m/s
 Vy =    30520.90 +/- 2100.73 m/s
 Vz =    50819.31 +/- 881.72 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.289393e+05, -1.915102e+05, -8.993766e+04, +1.056668e+06, -8.305671e+05, -3.350469e+05
-1.915102e+05, +1.680316e+05, +8.009378e+04, -9.171688e+05, +7.395175e+05, +2.885524e+05
-8.993766e+04, +8.009378e+04, +4.719883e+04, -4.156593e+05, +3.122265e+05, +1.362559e+05
+1.056668e+06, -9.171688e+05, -4.156593e+05, +6.150546e+06, -5.056241e+06, -1.998209e+06
-8.305671e+05, +7.395175e+05, +3.122265e+05, -5.056241e+06, +4.300430e+06, +1.620191e+06
-3.350469e+05, +2.885524e+05, +1.362559e+05, -1.998209e+06, +1.620191e+06, +6.642086e+05

Timing offsets (from input data):
    UK000H: -0.000285 s
    UK002D: 0.000000 s
    UK0038: -0.000444 s

Reference point on the trajectory:
  Time: 2021-08-13 23:31:50.604255 UTC
  Lon     = +-1.588727 +/- 0.0012 deg
  Lat     = +49.380347 +/- 0.0052 deg
  Lat geo = +49.193270 +/- 0.0052 deg
  Ht      =  108791.33 +/- 265.79 m

  JD dynamic   = 2459440.481247549411 
  LST apparent = 313.9885454997 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  61.95730 +/- 5.3057 deg
  Dec       = +55.76608 +/- 0.5539 deg
  Azimuth   =  38.61558 +/- 2.6657 deg
  Elevation = +30.96754 +/- 2.1421 deg
  Vavg      =  61.38008 +/- 0.6507 km/s
  Vinit     =  61.46895 +/- 0.6611 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  61.80091 +/- 5.3057 deg
  Dec       = +55.54041 +/- 0.5539 deg
  Azimuth   =  38.87670 +/- 2.6657 deg
  Elevation = +30.87517 +/- 2.1421 deg
  Vavg      =  61.54575 +/- 0.6507 km/s
  Vinit     =  61.63462 +/- 0.6611 km/s
Radiant (geocentric, J2000):
  R.A.   =  62.21271 +/- 5.2915 deg
  Dec    = +55.33665 +/- 0.5401 deg
  Vg     =  60.45916 +/- 0.6728 km/s
  Vinf   =  61.46895 +/- 0.6611 km/s
  Zc     =  59.17871 +/- 2.1480 deg
  Zg     =  59.71760 +/- 2.1606 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  71.42057 +/- 3.6773 deg
  Bg     = +33.67696 +/- 0.6256 deg
  Vh     =  41.63870 +/- 0.8373 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  95.04874 +/- 7.7710 deg
  Bh     = +53.62490 +/- 2.2650 deg
  Vh_x   =   2.17321 +/- 2.3650 km/s
  Vh_y   = -24.59881 +/- 2.1230 km/s
  Vh_z   = -33.52546 +/- 0.2301 km/s
Orbit:
  La Sun = 141.130035 +/- -0.0000 deg
  a      =  50.384646 +/- 8.5462 AU
  e      =   0.983324 +/- 0.0770
  i      = 117.949212 +/- 0.5197 deg
  peri   = 130.981039 +/- 8.4664 deg
  node   = 141.128557 +/- 0.0000 deg
  Pi     = 272.109596 +/- 8.4665 deg
  q      =   0.840207 +/- 0.0390 AU
  f      =  49.014859 +/- 8.4664 deg
  M      =   0.085310 +/- 0.8137 deg
  Q      =  99.929085 +/- 17.1170 AU
  n      =   0.002756 +/- 0.0490 deg/day
  T      = 357.641540 +/- 63.7959 years
  Last perihelion JD = 2459409.525373 (2021-07-14 00:36:32.248097) +/- 4.9565 days
  Tj     =  -0.427135 +/- 0.3940
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +6.550552e-03, -3.262239e-03, -3.635711e-01, -3.148150e-08, -1.161658e-02, +3.965248e-04
q   , -3.262239e-03, +1.665083e-03, +1.902272e-01, +1.780992e-08, +6.009996e-03, -2.247156e-04
Tp  , -3.635711e-01, +1.902272e-01, +2.474162e+01, +1.889119e-06, +7.423915e-01, -2.388831e-02
node, -3.148150e-08, +1.780992e-08, +1.889119e-06, +5.755292e-13, +6.141641e-08, -7.284284e-09
peri, -1.161658e-02, +6.009996e-03, +7.423915e-01, +6.141641e-08, +2.272820e-02, -7.758340e-04
i   , +3.965248e-04, -2.247156e-04, -2.388831e-02, -7.284284e-09, -7.758340e-04, +9.220045e-05

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: UK002D
  Avg. res. = 2.766e-06 s
  Stddev    = 1.66e-03 s

Begin point on the trajectory:
  Lon =    -1.598158 +/- 0.0014 deg
  Lat =    49.372636 +/- 0.0044 deg
  Ht  = 108121.62 +/- 277.54 m
End point on the trajectory:
  Lon =    -1.732387 +/- 0.0006 deg
  Lat =    49.263600 +/- 0.0045 deg
  Ht  = 98693.64 +/- 214.96 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,   0.000000,   0.000000,   106823.53,    99220.51,          0.028521,    100.17,     11.29,              96.21, 0.9883,    True,    True, {"ff_name": "FF_UK000H_20210813_233146_803_0305152.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,   107747.71,    98693.64,          0.030835,    134.72,      6.37,             101.98, 0.9569,    True,    True, {"ff_name": "FF_UK002D_20210813_233148_088_0302336.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   108121.62,    99304.90,          0.029975,    134.05,     11.64,              96.66, 0.9865,    True,    True, {"ff_name": "FF_UK0038_20210813_233149_913_0299520.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,  0.068492, 2459440.480447264388, 317.26699,  -7.47721,              175.96251,  31.58820,       175.97354,       31.59521,    317.26699,      -7.47721,     317.25744,       -7.47062,  2937671.99, -3046213.51,  4897655.41,      49.357677,       -1.616609,  106823.53,  199594.02,       0.00,             3825.76,   141.76,      0.00,           61790.01,      4.57,    -40.60,          42.22,  +1.66,  +0.16
  1,     UK000H,       0,  0.109060, 2459440.480447733775, 316.89145,  -8.01115,              176.42419,  31.07047,       176.43086,       31.07470,    316.89145,      -8.01115,     316.88592,       -8.00715,  2937053.00, -3047375.56,  4895720.52,      49.343799,       -1.633731,  105620.56,  200189.03,    2340.36,             6166.11,   -11.56,  57689.74,           61790.01,      2.79,    -24.70,          25.61,  +0.99,  -0.52
  2,     UK000H,       0,  0.149688, 2459440.480448204093, 316.48573,  -8.61313,              176.91709,  30.48377,       176.93316,       30.49392,    316.48573,      -8.61313,     316.47196,       -8.60346,  2936360.13, -3048676.32,  4893554.67,      49.328256,       -1.652872,  104274.72,  200885.56,    4960.08,             8785.83,   110.80,  64480.65,           61790.01,      6.74,    -59.81,          61.80,  +1.24,  -0.27
  3,     UK000H,       0,  0.190288, 2459440.480448673945, 316.10178,  -9.19419,              177.37713,  29.91506,       177.40925,       29.93531,    316.10178,      -9.19419,     316.07374,       -9.17476,  2935691.20, -3049932.13,  4891463.66,      49.313240,       -1.671354,  102976.10,  201588.17,    7489.29,            11315.04,   144.37,  62295.79,           61790.01,     13.53,   -120.36,         123.93,  +1.18,  -0.34
  4,     UK000H,       0,  0.230836, 2459440.480449143331, 315.73497,  -9.71833,              177.80957,  29.40084,       177.84184,       29.42113,    315.73497,      -9.71833,     315.70687,       -9.69873,  2935073.03, -3051092.66,  4889531.30,      49.299355,       -1.688442,  101776.64,  202263.52,    9826.58,            13652.34,   -10.78,  57642.67,           61101.89,     13.68,   -121.63,         124.81,  +1.21,  -0.32
  5,     UK000H,       0,  0.271392, 2459440.480449612718, 315.36727, -10.25058,              178.23753,  28.87673,       178.27461,       28.89997,    315.36727,     -10.25058,     315.33492,      -10.22797,  2934443.87, -3052273.81,  4887564.61,      49.285216,       -1.705828,  100556.50,  202976.36,   12205.41,            16031.17,  -124.88,  58655.41,           60555.99,     15.80,   -140.55,         143.73,  +1.52,  -0.02
  6,     UK000H,       0,  0.311984, 2459440.480450082570, 314.89872, -10.78307,              178.77239,  28.35202,       178.73989,       28.33173,    314.89872,     -10.78307,     314.92939,      -10.80296,  2933754.60, -3053567.81,  4885410.01,      49.269717,       -1.724855,   99220.51,  203786.51,   14811.52,            18637.28,   -13.92,  64202.64,           60751.68,    -14.11,    123.95,         126.26,  +3.93,  +2.38
  0,     UK002D,       1,  0.000000, 2459440.480446603149, 317.52242, -13.44015,              175.97408,  25.12570,       175.96099,       25.11650,    317.52242,     -13.44015,     317.53503,      -13.44881,  2938679.95, -3044321.22,  4900806.20,      49.380260,       -1.588759,  108783.77,  246900.79,       0.00,               14.69,   540.81,      0.00,           57876.02,     -3.01,     64.60,          54.03,  +5.32,  +3.36
  1,     UK002D,       0,  0.040292, 2459440.480447069276, 317.24605, -13.79145,              176.28687,  24.78638,       176.26144,       24.76856,    317.24605,     -13.79145,     317.27074,      -13.80829,  2938147.31, -3045321.17,  4899141.21,      49.368329,       -1.603519,  107747.71,  247569.08,    2013.90,             2028.59,    78.00,  49982.56,           57876.02,     -5.91,    125.88,         104.99,  +3.56,  +1.59
  2,     UK002D,       0,  0.080692, 2459440.480447537266, 316.90391, -14.26584,              176.67214,  24.32548,       176.65193,       24.31134,    316.90391,     -14.26584,     316.92379,      -14.27928,  2937444.35, -3046640.86,  4896943.85,      49.352575,       -1.622942,  106381.07,  248473.64,    4671.74,             4686.43,   252.49,  65788.14,           57876.02,     -4.71,    100.60,          83.60,  +2.43,  +0.45
  3,     UK002D,       0,  0.121020, 2459440.480448003858, 316.60762, -14.65306,              177.00144,  23.94871,       176.97508,       23.93030,    316.60762,     -14.65306,     316.63366,      -14.67064,  2936855.70, -3047745.96,  4895103.77,      49.339374,       -1.639231,  105237.24,  249250.40,    6897.42,             6912.11,    -0.75,  55189.41,           57876.02,     -6.20,    131.74,         109.14,  +1.97,  -0.01
  4,     UK002D,       0,  0.161368, 2459440.480448470917, 316.33038, -15.06787,              177.30857,  23.54271,       177.30390,       23.53945,    316.33038,     -15.06787,     316.33559,      -15.07100,  2936249.09, -3048884.78,  4893207.57,      49.325764,       -1.656008,  104059.09,  250069.19,    9190.99,             9205.68,  -187.33,  56844.78,           57665.08,     -1.09,     23.49,          19.40,  +1.76,  -0.23
  5,     UK002D,       0,  0.201720, 2459440.480448937975, 315.94950, -15.48912,              177.72145,  23.13194,       177.67212,       23.09764,    315.94950,     -15.48912,     315.99833,      -15.52223,  2935559.82, -3050178.78,  4891052.97,      49.310290,       -1.675045,  102721.12,  251021.94,   11797.10,            11811.79,   -61.61,  64584.45,           58593.44,    -11.85,    248.88,         204.73,  +1.55,  -0.45
  6,     UK002D,       0,  0.242112, 2459440.480449405499, 315.62727, -15.95510,              178.07012,  22.67348,       178.03992,       22.65252,    315.62727,     -15.95510,     315.65774,      -15.97544,  2934861.34, -3051490.08,  4888869.58,      49.294599,       -1.694330,  101366.04,  252011.38,   14438.04,            14452.73,    96.48,  65382.81,           59653.29,     -7.24,    153.19,         125.52,  +1.99,  -0.02
  7,     UK002D,       0,  0.282448, 2459440.480449872091, 315.33783, -16.35113,              178.37956,  22.28313,       178.35635,       22.26705,    315.33783,     -16.35113,     315.36170,      -16.36681,  2934253.00, -3052632.14,  4886967.97,      49.280925,       -1.711144,  100186.46,  252892.49,   16738.15,            16752.84,   -82.82,  57023.70,           59875.66,     -5.57,    118.31,          96.60,  +2.19,  +0.18
  8,     UK002D,       0,  0.322868, 2459440.480450340081, 314.97910, -16.85206,              178.75917,  21.78786,       178.75061,       21.78193,    314.97910,     -16.85206,     314.98885,      -16.85787,  2933482.66, -3054078.34,  4884559.95,      49.263600,       -1.732387,   98693.64,  254033.98,   19650.79,            19665.48,   345.24,  72059.37,           60793.16,     -2.06,     43.93,          35.71,  +3.37,  +1.35
  0,     UK0038,       0,  0.026074, 2459440.480446808506, 326.66041, -13.44133,              165.63249,  24.14517,       165.59705,       24.11344,    326.66041,     -13.44133,     326.69852,      -13.46749,  2938339.56, -3044960.24,  4899742.18,      49.372636,       -1.598158,  108121.62,  254079.18,       0.00,             1301.68,   225.06,      0.00,           58784.50,     17.16,    200.18,         163.10,  +4.60,  +2.58
  1,     UK0038,       0,  0.066338, 2459440.480447274633, 326.42150, -13.83751,              165.95177,  23.79056,       165.94893,       23.78802,    326.42150,     -13.83751,     326.42479,      -13.83961,  2937787.39, -3045996.87,  4898016.13,      49.360264,       -1.613452,  107047.87,  254591.30,    2087.76,             3389.43,  -162.17,  51851.68,           58784.50,      1.39,     16.09,          13.08,  +2.91,  +0.88
  2,     UK0038,       0,  0.106646, 2459440.480447741225, 326.07205, -14.31692,              166.39767,  23.36899,       166.39745,       23.36880,    326.07205,     -14.31692,     326.07269,      -14.31708,  2937074.83, -3047334.59,  4895788.74,      49.344289,       -1.633136,  105662.97,  255276.77,    4781.92,             6083.60,    54.30,  66839.42,           58784.50,      0.11,      1.23,           1.00,  +1.98,  -0.06
  3,     UK0038,       0,  0.146890, 2459440.480448206887, 325.78187, -14.70606,              166.76323,  23.02629,       166.76227,       23.02544,    325.78187,     -14.70606,     325.78348,      -14.70677,  2936489.83, -3048432.84,  4893960.08,      49.331166,       -1.649322,  104526.57,  255859.01,    6993.80,             8295.47,  -207.58,  54961.63,           58784.50,      0.47,      5.44,           4.40,  +1.71,  -0.33
  4,     UK0038,       0,  0.187194, 2459440.480448673479, 325.43583, -15.17897,              167.19678,  22.60709,       167.19969,       22.60967,    325.43583,     -15.17897,     325.43344,      -15.17680,  2935779.82, -3049765.77,  4891740.67,      49.315230,       -1.668928,  103148.09,  256590.16,    9678.30,            10979.98,    -0.52,  66606.44,           60236.61,     -1.44,    -16.65,          13.44,  +1.69,  -0.36
  5,     UK0038,       0,  0.227498, 2459440.480449139606, 325.08242, -15.65980,              167.63495,  22.17915,       167.64202,       22.18540,    325.08242,     -15.65980,     325.07571,      -15.65452,  2935053.10, -3051130.08,  4889468.99,      49.298908,       -1.688986,  101737.99,  257365.56,   12426.02,            13727.70,   269.76,  68174.93,           61786.19,     -3.50,    -40.46,          32.55,  +1.76,  -0.29
  6,     UK0038,       0,  0.267770, 2459440.480449605733, 324.81909, -16.07092,              167.96637,  21.80666,       168.00187,       21.83798,    324.81909,     -16.07092,     324.78179,      -16.04435,  2934456.16, -3052250.75,  4887603.01,      49.285493,       -1.705490,  100580.32,  258022.32,   14683.05,            15984.72,    51.31,  56044.48,           61724.40,    -17.78,   -203.95,         163.66,  +1.97,  -0.09
  7,     UK0038,       0,  0.308046, 2459440.480450072326, 324.50322, -16.50310,              168.35162,  21.41882,       168.39408,       21.45619,    324.50322,     -16.50310,     324.45850,      -16.47124,  2933798.15, -3053486.06,  4885546.14,      49.270697,       -1.723660,   99304.90,  258767.49,   17170.95,            18472.63,    63.49,  61771.34,           61702.56,    -21.37,   -244.71,         195.80,  +2.78,  +0.72

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.