Orbital Analysis for matched events on 20210904_033301.210_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 71.86° Bg 24.15° Vg 65.48km/s
mass 0.01355g, abs. mag -0.7
Path Details
------------
start -1.42° 51.44° 111.78km
end   -1.51° 51.44° 95.03km

Orbit Details
-------------
Semimajor axis 6.89A.U., eccentricity 0.85, inclination 138.44°, Period 18.07Y, LA Sun 161.54°, last Perihelion 2003-08-11

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: 2459461.647930676118
Time: 2021-09-04 03:33:01.210417 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0001 and UK000S
 Convergence angle = 1.01583 deg
 R.A. = 279.84211  Dec = -79.83743 deg
Intersection 2 - Stations: UK0001 and UK001Z
 Convergence angle = 57.40755 deg
 R.A. =  66.04576  Dec = +46.07410 deg
Intersection 3 - Stations: UK000S and UK001Z
 Convergence angle = 58.23298 deg
 R.A. =  66.97898  Dec = +46.34301 deg

Best intersection: Stations UK000S and UK001Z with Qconv = 58.23 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3307947.10 +/- 27.60 m
 Y =   2343226.06 +/- 36.46 m
 Z =   5051513.27 +/- 101.19 m
 Vx =    18682.09 +/- 397.10 m/s
 Vy =    42014.29 +/- 608.89 m/s
 Vz =    47924.61 +/- 676.83 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.236919e+02, -1.538471e+01, +2.517562e+01, +5.250465e+03, -1.063497e+03, -1.275398e+03
-1.538471e+01, +1.412509e+03, +2.285870e+03, +2.140460e+03, +7.957290e+03, +1.258043e+04
+2.517562e+01, +2.285870e+03, +1.073989e+04, +5.430064e+03, +1.336640e+04, +6.251859e+04
+5.250465e+03, +2.140460e+03, +5.430064e+03, +4.843819e+04, +7.992456e+03, +1.853676e+04
-1.063497e+03, +7.957290e+03, +1.336640e+04, +7.992456e+03, +6.072371e+04, +1.012038e+05
-1.275398e+03, +1.258043e+04, +6.251859e+04, +1.853676e+04, +1.012038e+05, +4.283998e+05

Timing offsets (from input data):
    UK0001: -0.000031 s
    UK000S: 0.000000 s
    UK001Z: -0.000006 s

Reference point on the trajectory:
  Time: 2021-09-04 03:33:01.210417 UTC
  Lon     = +-1.422814 +/- 0.0005 deg
  Lat     = +51.437774 +/- 0.0005 deg
  Lat geo = +51.253290 +/- 0.0005 deg
  Ht      =  111808.37 +/- 88.56 m

  JD dynamic   = 2459461.648731417023 
  LST apparent = 35.3123306569 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  66.02718 +/- 0.2541 deg
  Dec       = +46.18592 +/- 0.3201 deg
  Azimuth   =  92.52498 +/- 0.8653 deg
  Elevation = +69.27045 +/- 0.1897 deg
  Vavg      =  65.25062 +/- 0.4740 km/s
  Vinit     =  66.41528 +/- 0.5807 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  66.34282 +/- 0.2541 deg
  Dec       = +46.09165 +/- 0.3201 deg
  Azimuth   =  92.49363 +/- 0.8653 deg
  Elevation = +69.03255 +/- 0.1897 deg
  Vavg      =  65.35572 +/- 0.4740 km/s
  Vinit     =  66.52038 +/- 0.5807 km/s
Radiant (geocentric, J2000):
  R.A.   =  65.82810 +/- 0.2549 deg
  Dec    = +46.07319 +/- 0.3233 deg
  Vg     =  65.48214 +/- 0.5891 km/s
  Vinf   =  66.41528 +/- 0.5807 km/s
  Zc     =  20.72221 +/- 0.1888 deg
  Zg     =  20.87043 +/- 0.1915 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  71.86203 +/- 0.2119 deg
  Bg     = +24.14586 +/- 0.3138 deg
  Vh     =  40.37787 +/- 0.6514 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  71.38350 +/- 0.4221 deg
  Bh     = +41.56229 +/- 0.3189 deg
  Vh_x   =  -9.64468 +/- 0.2111 km/s
  Vh_y   = -28.63133 +/- 0.4346 km/s
  Vh_z   = -26.78805 +/- 0.5369 km/s
Orbit:
  La Sun = 161.540772 +/- 0.0000 deg
  a      =   6.885197 +/- 1.8274 AU
  e      =   0.853520 +/- 0.0589
  i      = 138.437601 +/- 0.3194 deg
  peri   = 180.258483 +/- 0.7000 deg
  node   = 161.540470 +/- 0.0000 deg
  Pi     = 341.798953 +/- 0.7000 deg
  q      =   1.008543 +/- 0.0001 AU
  f      = 359.738588 +/- 0.7000 deg
  M      = 359.989235 +/- 0.0515 deg
  Q      =  12.761852 +/- 3.6548 AU
  n      =   0.054554 +/- 0.0383 deg/day
  T      =  18.066550 +/- 6.8456 years
  Last perihelion JD = 2452862.923660 (2003-08-11 10:10:04.204555) +/- 1784.1543 days
  Tj     =  -0.141015 +/- 0.3162
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.618440e-03, -1.411083e-06, +1.002865e+01, +1.361585e-08, -2.380335e-04, -1.751696e-04
q   , -1.411083e-06, +6.760628e-09, -7.464191e-02, -9.571499e-12, +9.438926e-07, +1.245994e-07
Tp  , +1.002865e+01, -7.464191e-02, +3.660047e+06, +1.411824e-04, -1.767058e+01, -1.833543e+00
node, +1.361585e-08, -9.571499e-12, +1.411824e-04, +1.944726e-13, -1.663033e-09, -2.517415e-09
peri, -2.380335e-04, +9.438926e-07, -1.767058e+01, -1.663033e-09, +1.601571e-04, +2.157199e-05
i   , -1.751696e-04, +1.245994e-07, -1.833543e+00, -2.517415e-09, +2.157199e-05, +3.258878e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.553327
 a2 = 25.800425

Mean time residuals from time vs. length:
  Station with reference time: UK000S
  Avg. res. = 5.276e-06 s
  Stddev    = 2.30e-03 s

Begin point on the trajectory:
  Lon =    -1.422982 +/- 0.0005 deg
  Lat =    51.437778 +/- 0.0005 deg
  Ht  = 111776.92 +/- 99.52 m
End point on the trajectory:
  Lon =    -1.513933 +/- 0.0005 deg
  Lat =    51.440218 +/- 0.0004 deg
  Ht  = 95025.90 +/- 66.75 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
    UK0001,   False,    -1.778230,    50.857470,   24.00,   0.885690,  23.176872,   109872.96,    95396.47,          0.033408,     17.41,     67.95,              31.21, 0.2685,    True,    True, {"ff_name": "FF_UK0001_20210904_033301_246_0736768.fits"}
    UK000S,   False,    -1.778230,    50.857470,   24.00,   3.018520,  20.247537,   111776.92,    95025.90,          0.020046,     11.24,     43.47,              31.21, 0.2685,    True,    True, {"ff_name": "FF_UK000S_20210904_033301_693_0732928.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,  74.071640,   0.206195,   107427.78,    97130.18,          0.015470,     39.68,     15.57,              31.06, 0.2661,    True,    True, {"ff_name": "FF_UK001Z_20210904_033254_771_0730112.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,     UK0001,       0,  0.030546, 2459461.647931271233,  88.40402,  76.48608,               20.36013,  57.34747,        20.35056,       57.35178,     88.40402,     +76.48608,      88.37912,      +76.48946,  3307364.99,  2341916.96,  5050020.02,      51.438058,       -1.433375,  109872.96,  130011.66,       0.00,             2069.40,    -0.37,      0.00,           66437.11,    -14.78,     -3.81,          24.22,  +1.32,  +0.75
  1,     UK0001,       0,  0.070518, 2459461.647931734100,  89.75151,  77.02587,               19.61490,  56.87536,        19.61428,       56.87564,     89.75151,     +77.02587,      89.75001,      +77.02610,  3306624.26,  2340251.12,  5048119.84,      51.438420,       -1.446716,  107410.25,  127775.44,    2633.32,             4702.72,   -21.80,  65879.12,           66437.11,     -0.95,     -0.24,           1.58,  +0.82,  +0.29
  2,     UK0001,       0,  0.110478, 2459461.647932196502,  91.22641,  77.59059,               18.83438,  56.38592,        18.86384,       56.37286,     91.22641,     +77.59059,      91.30836,      +77.57924,  3305875.86,  2338568.03,  5046199.98,      51.438783,       -1.460204,  104922.15,  125531.90,    5293.92,             7363.32,   -15.16,  66581.61,           66437.11,     44.34,     11.39,          75.22,  +0.40,  -0.09
  3,     UK0001,       0,  0.150434, 2459461.647932658903,  92.90057,  78.16909,               18.04235,  55.87277,        18.10448,       55.84546,     92.90057,     +78.16909,      93.07887,      +78.14399,  3305125.04,  2336879.51,  5044273.93,      51.439147,       -1.473746,  102426.15,  123297.98,    7963.09,            10032.49,     0.32,  66802.70,           66437.11,     92.32,     23.66,         159.44,  -0.01,  -0.46
  4,     UK0001,       0,  0.190422, 2459461.647933121771,  94.98853,  78.73933,               17.29039,  55.30785,        17.33274,       55.28940,     94.98853,     +78.73933,      95.11399,      +78.72125,  3304368.28,  2335177.63,  5042332.64,      51.439512,       -1.487404,   99910.53,  121064.41,   10653.39,            12722.78,    34.81,  67277.56,           66646.68,     62.14,     15.94,         109.30,  +0.21,  -0.21
  5,     UK0001,       0,  0.230386, 2459461.647933584172,  96.92235,  79.25801,               16.58901,  54.81411,        16.65560,       54.78529,     96.92235,     +79.25801,      97.12457,      +79.22815,  3303710.47,  2333698.28,  5040645.18,      51.439829,       -1.499306,   97723.92,  119138.11,   12991.91,            15061.31,  -280.89,  58515.84,           65545.06,     96.69,     24.75,         172.80,  +0.67,  +0.29
  6,     UK0001,       0,  0.270362, 2459461.647934047040,  99.36369,  79.79945,               15.86652,  54.25363,        15.93036,       54.22621,     99.36369,     +79.79945,      99.56214,      +79.76916,  3303010.26,  2332123.57,  5038848.95,      51.440164,       -1.511974,   95396.47,  117104.44,   15481.19,            17550.58,  -446.63,  62269.21,           64800.58,     91.67,     23.46,         166.67,  +2.29,  +1.95
  0,     UK000S,       0,  0.000000, 2459461.647930676118,  87.54104,  76.06508,               20.96483,  57.68464,        20.91978,       57.70507,     87.54104,     +76.06508,      87.42642,      +76.08053,  3307937.64,  2343204.79,  5051489.00,      51.437778,       -1.422982,  111776.92,  131751.75,       0.00,               33.63,    -7.42,      0.00,           66618.38,    -70.30,    -18.19,         113.68,  +1.89,  +1.29
  1,     UK000S,       0,  0.040520, 2459461.647931145038,  88.95946,  76.64692,               20.16107,  57.17160,        20.11089,       57.19414,     88.95946,     +76.64692,      88.82779,      +76.66494,  3307117.60,  2341360.61,  5049385.40,      51.438179,       -1.437728,  109050.46,  129264.46,    2915.24,             2948.87,   216.67,  71945.63,           66618.38,    -77.15,    -19.96,         127.16,  +1.53,  +0.97
  2,     UK000S,       0,  0.081008, 2459461.647931613494,  90.32901,  77.20616,               19.38084,  56.69468,        19.36115,       56.70345,     90.32901,     +77.20616,      90.27581,      +77.21353,  3306365.55,  2339669.31,  5047456.18,      51.438545,       -1.451276,  106550.15,  126999.35,    5588.81,             5622.44,   201.22,  66033.60,           66618.38,    -29.87,     -7.71,          50.10,  +0.92,  +0.40
  3,     UK000S,       0,  0.121496, 2459461.647932081949,  91.88555,  77.72791,               18.67883,  56.20914,        18.64981,       56.22195,     91.88555,     +77.72791,      91.80498,      +77.73928,  3305658.69,  2338079.65,  5045642.90,      51.438889,       -1.464030,  104200.20,  124885.12,    8101.70,             8135.34,    25.10,  62065.26,           66618.38,    -43.48,    -11.22,          74.17,  +0.38,  -0.10
  4,     UK000S,       0,  0.162004, 2459461.647932550870,  93.60182,  78.27512,               17.93760,  55.70466,        17.92157,       55.71168,     93.60182,     +78.27512,      93.55625,      +78.28171,  3304940.76,  2336465.09,  5043801.21,      51.439236,       -1.476991,  101813.56,  122753.35,   10653.96,            10687.60,  -112.99,  63006.32,           65421.02,    -23.74,     -6.12,          41.19,  +0.16,  -0.29
  5,     UK000S,       0,  0.202532, 2459461.647933020256,  95.58930,  78.83068,               17.19221,  55.17051,        17.18206,       55.17492,     95.58930,     +78.83068,      95.55993,      +78.83507,  3304217.42,  2334838.36,  5041945.64,      51.439585,       -1.490058,   99409.04,  120622.22,   13225.46,            13259.09,  -233.17,  63449.88,           64797.12,    -14.85,     -3.82,          26.23,  +0.47,  +0.06
  6,     UK000S,       0,  0.243064, 2459461.647933489177,  97.75106,  79.37878,               16.45271,  54.63527,        16.45985,       54.63219,     97.75106,     +79.37878,      97.77349,      +79.37552,  3303516.59,  2333262.25,  5040147.81,      51.439922,       -1.502732,   97079.45,  118574.17,   15716.94,            15750.58,  -433.64,  61469.49,           64217.55,     10.32,      2.65,          18.54,  +1.27,  +0.90
  7,     UK000S,       0,  0.283552, 2459461.647933957633,  99.93539,  79.86126,               15.80139,  54.14156,        15.81777,       54.13454,     99.93539,     +79.86126,      99.98700,      +79.85340,  3302898.78,  2331872.86,  5038562.97,      51.440218,       -1.513933,   95025.90,  116782.95,   17913.27,            17946.90,  -926.33,  54246.29,           63145.62,     23.47,      6.03,          42.79,  +3.88,  +3.54
  0,     UK001Z,       0,  0.071898, 2459461.647931647487, 114.74277,  48.83408,               58.73210,  40.48930,        58.72705,       40.49076,    114.74277,     +48.83408,     114.74443,      +48.83807,  3306629.53,  2340262.98,  5048133.36,      51.438417,       -1.446591,  107427.78,  163481.21,       0.00,             4683.97,  -132.21,      0.00,           63836.03,     -4.29,    -10.92,          14.80,  +2.32,  +1.25
  1,     UK001Z,       0,  0.112374, 2459461.647932115942, 115.55626,  48.70063,               58.47008,  39.97424,        58.46708,       39.97511,    115.55626,     +48.70063,     115.55751,      +48.70301,  3305813.12,  2338426.94,  5046039.05,      51.438814,       -1.461292,  104713.59,  161031.65,    2902.37,             7586.34,    81.93,  71705.83,           63836.03,     -2.53,     -6.44,           8.87,  +0.69,  -0.34
  2,     UK001Z,       0,  0.152810, 2459461.647932583932, 116.28913,  48.54663,               58.26585,  39.49079,        58.23121,       39.50079,    116.28913,     +48.54663,     116.30101,      +48.57416,  3305083.79,  2336786.74,  5044168.11,      51.439167,       -1.474454,  102289.02,  158855.56,    5495.16,            10179.14,   -10.84,  64121.01,           63836.03,    -28.87,    -73.68,         102.75,  -0.22,  -1.23
  3,     UK001Z,       0,  0.193202, 2459461.647933051456, 116.95239,  48.44488,               58.03826,  39.07546,        58.02408,       39.07955,    116.95239,     +48.44488,     116.95786,      +48.45619,  3304452.47,  2335366.98,  5042548.62,      51.439472,       -1.485877,  100190.38,  156981.21,    7739.50,            12423.47,  -449.15,  55563.88,           63836.03,    -11.76,    -29.96,          42.30,  +0.34,  -0.64
  4,     UK001Z,       0,  0.233790, 2459461.647933521308, 117.94424,  48.28482,               57.70114,  38.45036,        57.71895,       38.44522,    117.94424,     +48.28482,     117.93871,      +48.27057,  3303531.84,  2333296.56,  5040186.95,      51.439914,       -1.502472,   97130.18,  154269.40,   11012.36,            15696.33,   128.05,  80636.16,           66391.67,     14.66,     37.25,          53.52,  +3.28,  +2.34

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.