Orbital Analysis for matched events on 20210929_032931.717_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 70.60° Bg -1.86° Vg 52.33km/s
mass 0.00549g, abs. mag 1.0
Path Details
------------
start -3.76° 49.79° 106.04km
end   -3.79° 49.83° 97.20km

Orbit Details
-------------
Semimajor axis 0.95A.U., eccentricity 0.79, inclination 174.49°, Period 0.92Y, LA Sun 185.92°, last Perihelion 2020-12-12

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: 2459486.645505988039
Time: 2021-09-29 03:29:31.718936 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0021 and UK0024
 Convergence angle = 6.96975 deg
 R.A. =  65.63888  Dec = +17.96322 deg

Best intersection: Stations UK0021 and UK0024 with Qconv = 6.97 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2300273.41 +/- 693.45 m
 Y =   3507244.76 +/- 703.81 m
 Z =   4928720.20 +/- 82.54 m
 Vx =    17541.12 +/- 4737.65 m/s
 Vy =    46909.09 +/- 6360.52 m/s
 Vz =    18795.41 +/- 3882.80 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.317751e+05, +4.180045e+05, +3.081985e+04, +2.348938e+06, +2.575099e+06, +3.582848e+05
+4.180045e+05, +4.108296e+05, +3.341985e+04, +2.205348e+06, +2.398538e+06, +3.250276e+05
+3.081985e+04, +3.341985e+04, +4.635080e+03, +1.337142e+05, +1.287560e+05, +1.207581e+04
+2.348938e+06, +2.205348e+06, +1.337142e+05, +1.883076e+07, +2.006112e+07, +2.472404e+06
+2.575099e+06, +2.398538e+06, +1.287560e+05, +2.006112e+07, +2.211162e+07, +3.037294e+06
+3.582848e+05, +3.250276e+05, +1.207581e+04, +2.472404e+06, +3.037294e+06, +5.638392e+05

Timing offsets (from input data):
    UK0021: -0.004069 s
    UK0024: 0.000701 s

Reference point on the trajectory:
  Time: 2021-09-29 03:29:31.718936 UTC
  Lon     = +-3.760190 +/- 0.0028 deg
  Lat     = +49.789330 +/- 0.0061 deg
  Lat geo = +49.602596 +/- 0.0061 deg
  Ht      =  106048.43 +/- 678.20 m

  JD dynamic   = 2459486.646306747105 
  LST apparent = 56.7405980989 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  69.49729 +/- 2.8615 deg
  Dec       = +20.57095 +/- 1.7233 deg
  Azimuth   = 156.27951 +/- 5.7654 deg
  Elevation = +59.07558 +/- 1.0381 deg
  Vavg      =  51.87251 +/- 6.1582 km/s
  Vinit     =  53.49226 +/- 6.7355 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  69.83810 +/- 2.8615 deg
  Dec       = +20.54523 +/- 1.7233 deg
  Azimuth   = 155.69852 +/- 5.7654 deg
  Elevation = +58.96136 +/- 1.0381 deg
  Vavg      =  51.93657 +/- 6.1582 km/s
  Vinit     =  53.55632 +/- 6.7355 km/s
Radiant (geocentric, J2000):
  R.A.   =  69.28035 +/- 2.9013 deg
  Dec    = +20.19561 +/- 1.6724 deg
  Vg     =  52.32824 +/- 6.8704 km/s
  Vinf   =  53.49226 +/- 6.7355 km/s
  Zc     =  30.75354 +/- 1.0318 deg
  Zg     =  31.10019 +/- 0.9708 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  70.59651 +/- 2.9621 deg
  Bg     =  -1.85733 +/- 1.2412 deg
  Vh     =  28.86147 +/- 7.3531 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  43.43858 +/- 2.1178 deg
  Bh     =  -3.36434 +/- 1.7780 deg
  Vh_x   = -20.92054 +/- 5.0137 km/s
  Vh_y   = -19.81027 +/- 5.3796 km/s
  Vh_z   =   1.69374 +/- 1.4931 km/s
Orbit:
  La Sun = 185.919021 +/- 0.0000 deg
  a      =   0.945699 +/- 5.0112 AU
  e      =   0.792627 +/- 0.1446
  i      = 174.485623 +/- 3.1174 deg
  peri   = 144.980719 +/- 20.5613 deg
  node   =   5.927219 +/- 0.0086 deg
  Pi     = 150.907937 +/- 20.5662 deg
  q      =   0.196113 +/- 0.1001 AU
  f      = 215.025636 +/- 20.5565 deg
  M      = 310.993791 +/- nan deg
  Q      =   1.695285 +/- 10.0065 AU
  n      =   1.071705 +/- 0.5833 deg/day
  T      =   0.919665 +/- 253395488.7534 years
  Last perihelion JD = 2459196.460054 (2020-12-12 23:02:28.662977) +/- 5481.1478 days
  Tj     =   4.985684 +/- 3.0895
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.318534e-03, +8.724977e-04, -1.339164e+02, +1.354802e-06, -3.955710e-03, -1.648249e-04
q   , +8.724977e-04, +7.933504e-03, -1.821551e+02, -8.464173e-06, -2.796682e-02, -3.790319e-03
Tp  , -1.339164e+02, -1.821551e+02, +1.779802e+07, +1.017394e-01, +6.733016e+02, +7.055746e+01
node, +1.354802e-06, -8.464173e-06, +1.017394e-01, +2.523196e-08, +2.988998e-05, +5.996438e-06
peri, -3.955710e-03, -2.796682e-02, +6.733016e+02, +2.988998e-05, +9.924200e-02, +1.368129e-02
i   , -1.648249e-04, -3.790319e-03, +7.055746e+01, +5.996438e-06, +1.368129e-02, +2.533439e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 4.138257
 a2 = 24.262069

Mean time residuals from time vs. length:
  Station with reference time: UK0021
  Avg. res. = 1.252e-05 s
  Stddev    = 3.54e-03 s

Begin point on the trajectory:
  Lon =    -3.760233 +/- 0.0028 deg
  Lat =    49.789394 +/- 0.0062 deg
  Ht  = 106035.26 +/- 682.72 m
End point on the trajectory:
  Lon =    -3.790271 +/- 0.0020 deg
  Lat =    49.832298 +/- 0.0062 deg
  Ht  = 97202.82 +/- 722.23 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
    UK0021,   False,    -3.515726,    50.691998,   17.00,   3.422935,  25.102507,   105991.52,    97202.82,          0.007194,     12.40,     13.13,              19.83, 1.0000,    True,    True, {"ff_name": "FF_UK0021_20210929_032931_967_0805888.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.309039,  41.453199,   106035.26,    98713.56,          0.019138,     41.87,     36.67,              33.18, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20210929_032927_389_0811008.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,     UK0021,       0,  0.000000, 2459486.645506140310,  49.96460,   6.51500,              189.96563,  45.43637,       189.95919,       45.43182,     49.96460,      +6.51500,      49.96866,       +6.50998,  2300251.66,  3507186.58,  4928696.89,      49.789606,       -3.760426,  105991.52,  147591.50,       0.00,               66.34,    -0.37,      0.00,           52724.23,     12.01,     11.34,          23.08,  +1.86,  +1.01
  1,     UK0021,       0,  0.040280, 2459486.645506606437,  49.68686,   6.27595,              190.31741,  45.16784,       190.32909,       45.17604,     49.68686,      +6.27595,      49.67979,       +6.28503,  2299500.05,  3505176.60,  4927891.54,      49.799146,       -3.767070,  104025.38,  145495.15,    2292.05,             2358.39,   137.02,  56902.98,           52724.23,    -21.46,    -20.25,          41.82,  +1.82,  +1.01
  2,     UK0021,       0,  0.080524, 2459486.645507072099,  49.40610,   6.08010,              190.67768,  44.94091,       190.67144,       44.93655,     49.40610,      +6.08010,      49.41038,       +6.07524,  2298818.55,  3503354.11,  4927161.31,      49.807800,       -3.773116,  102242.80,  143599.71,    4370.31,             4436.66,    62.54,  51641.55,           52724.23,     11.31,     10.68,          22.34,  +1.72,  +0.93
  3,     UK0021,       0,  0.120780, 2459486.645507538226,  49.14332,   5.86522,              191.00718,  44.69626,       191.00902,       44.69755,     49.14332,      +5.86522,      49.14272,       +5.86665,  2298158.71,  3501589.54,  4926454.28,      49.816184,       -3.778980,  100517.03,  141769.51,    6382.52,             6448.86,   -78.64,  49985.32,           52724.23,     -3.30,     -3.12,           6.61,  +1.65,  +0.89
  4,     UK0021,       0,  0.161036, 2459486.645508004352,  48.87763,   5.64914,              191.33801,  44.44923,       191.34691,       44.45540,     48.87763,      +5.64914,      48.87279,       +5.65606,  2297509.78,  3499854.14,  4925758.95,      49.824433,       -3.784755,   98819.94,  139974.53,    8361.46,             8427.80,  -253.08,  49158.88,           51701.21,    -15.75,    -14.87,          31.91,  +1.95,  +1.22
  5,     UK0021,       0,  0.201284, 2459486.645508470014,  48.61047,   5.44726,              191.67092,  44.21523,       191.67467,       44.21782,     48.61047,      +5.44726,      48.60902,       +5.45018,  2296891.38,  3498200.39,  4925096.33,      49.832298,       -3.790271,   97202.82,  138268.80,   10247.30,            10313.64,  -520.20,  46855.40,           50716.81,     -6.56,     -6.20,          13.46,  +3.05,  +2.35
  0,     UK0024,       0,  0.002275, 2459486.645506006200,  37.33780,   1.22392,              205.80606,  37.48525,       205.80236,       37.48276,     37.33780,      +1.22392,      37.33995,       +1.22072,  2300268.38,  3507231.29,  4928714.81,      49.789394,       -3.760233,  106035.26,  171762.69,       0.00,               15.35,  -173.07,      0.00,           53383.83,      7.62,      8.68,          13.87,  +4.23,  +3.06
  1,     UK0024,       0,  0.042751, 2459486.645506474655,  36.88071,   0.92680,              206.25454,  37.07318,       206.24525,       37.06697,     36.88071,      +0.92680,      36.88626,       +0.91877,  2299391.93,  3504887.45,  4927775.68,      49.800519,       -3.767955,  103742.55,  169636.47,    2672.78,             2688.13,   334.55,  66033.60,           53383.83,     18.87,     21.52,          34.81,  +2.61,  +1.46
  2,     UK0024,       0,  0.083039, 2459486.645506940782,  36.60547,   0.74125,              206.51996,  36.81789,       206.51341,       36.81352,     36.60547,      +0.74125,      36.60960,       +0.73559,  2298870.77,  3503493.76,  4927217.26,      49.807137,       -3.772618,  102379.39,  168381.30,    4262.05,             4277.41,  -231.27,  39447.85,           53383.83,     13.21,     15.07,          24.55,  +2.05,  +0.92
  3,     UK0024,       0,  0.123483, 2459486.645507409237,  36.16454,   0.48670,              206.95672,  36.44864,       206.91935,       36.42379,     36.16454,      +0.48670,      36.18676,       +0.45429,  2298085.38,  3501393.44,  4926375.71,      49.817116,       -3.779567,  100325.26,  166498.43,    6657.13,             6672.48,     0.37,  59219.64,           53383.83,     74.67,     85.29,         140.43,  +1.73,  +0.62
  4,     UK0024,       0,  0.163843, 2459486.645507876296,  35.83983,   0.23940,              207.25432,  36.11843,       207.24241,       36.11054,     35.83983,      +0.23940,      35.84744,       +0.22907,  2297469.10,  3499745.36,  4925715.36,      49.824951,       -3.785061,   98713.56,  165031.24,    8536.50,             8551.86,  -279.21,  46565.23,           52141.46,     23.63,     26.95,          44.80,  +2.75,  +1.66

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.