Orbital Analysis for matched events on 20211103_025157.965_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 98.06° Bg -15.95° Vg 70.46km/s
mass 0.00954g, abs. mag -0.3
best visual mag 1.1
Path Details
------------
start 0.20° 49.76° 99.92km
end   0.16° 49.85° 89.21km

Orbit Details
-------------
Semimajor axis -1.30A.U., eccentricity 1.39, inclination 144.42°, Period nanY, LA Sun 220.61°, 

Full details below
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Detailed report below graphs

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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: 2459521.619420900941
Time: 2021-11-03 02:51:57.965841 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002N and UK003N
 Convergence angle = 37.89798 deg
 R.A. =  98.34385  Dec =  +7.66609 deg

Best intersection: Stations UK002N and UK003N with Qconv = 37.90 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    308486.68 +/- 63.09 m
 Y =   4180807.34 +/- 296.83 m
 Z =   4922100.59 +/- 72.85 m
 Vx =    -9901.91 +/- 39.24 m/s
 Vy =    70016.42 +/- 2029.69 m/s
 Vz =     9337.47 +/- 909.98 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Timing offsets (from input data):
    UK002N: 0.000000 s
    UK003N: -0.000660 s

Reference point on the trajectory:
  Time: 2021-11-03 02:51:57.965841 UTC
  Lon     = ++0.198138 +/- 0.0011 deg
  Lat     = +49.765774 +/- 0.0023 deg
  Lat geo = +49.578829 +/- 0.0023 deg
  Ht      =   99636.77 +/- 149.63 m

  JD dynamic   = 2459521.620221641846 
  LST apparent = 85.7799986942 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  98.04955 +/- 0.1907 deg
  Dec       =  +7.52223 +/- 0.5277 deg
  Azimuth   = 162.16940 +/- 0.2859 deg
  Elevation = +46.52438 +/- 0.5232 deg
  Vavg      =  68.38305 +/- 1.8769 km/s
  Vinit     =  71.32696 +/- 1.9784 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  98.29136 +/- 0.1907 deg
  Dec       =  +7.51533 +/- 0.5277 deg
  Azimuth   = 161.83030 +/- 0.2859 deg
  Elevation = +46.46937 +/- 0.5232 deg
  Vavg      =  68.44808 +/- 1.8769 km/s
  Vinit     =  71.39199 +/- 1.9784 km/s
Radiant (geocentric, J2000):
  R.A.   =  97.81089 +/- 0.1908 deg
  Dec    =  +7.26578 +/- 0.5174 deg
  Vg     =  70.45733 +/- 2.0021 km/s
  Vinf   =  71.32696 +/- 1.9784 km/s
  Zc     =  43.29768 +/- 0.5232 deg
  Zg     =  43.57665 +/- 0.5125 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  98.06017 +/- 0.2032 deg
  Bg     = -15.95365 +/- 0.5150 deg
  Vh     =  49.68100 +/- 1.9211 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  76.88896 +/- 0.9270 deg
  Bh     = -22.94217 +/- 0.5312 deg
  Vh_x   = -10.37815 +/- 0.4155 km/s
  Vh_y   = -44.55854 +/- 1.7299 km/s
  Vh_z   =  19.36574 +/- 1.1461 km/s
Orbit:
  La Sun = 220.605908 +/- -0.0000 deg
  a      =  -1.304888 +/- 0.3211 AU
  e      =   1.393592 +/- 0.1407
  i      = 144.424484 +/- 0.4070 deg
  peri   =  80.119133 +/- 4.7088 deg
  node   =  40.606166 +/- 0.0000 deg
  Pi     = 120.725299 +/- 4.7088 deg
  q      =   0.513594 +/- 0.0291 AU
  f      = 279.879201 +/- 4.7088 deg
  M      =        nan +/- nan deg
  Q      =  -3.123370 +/- 0.6138 AU
  n      =   0.661218 +/- 0.3074 deg/day
  T      =        nan +/- nan years
  Last perihelion JD = NaN 
  Tj     =  -4.778895 +/- 1.1893
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
q   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
Tp  , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
node, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
peri, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
i   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

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: UK002N
  Avg. res. = 1.158e-05 s
  Stddev    = 3.40e-03 s

Begin point on the trajectory:
  Lon =     0.199267 +/- 0.0013 deg
  Lat =    49.763503 +/- 0.0026 deg
  Ht  = 99921.09 +/- 173.72 m
End point on the trajectory:
  Lon =     0.155711 +/- 0.0006 deg
  Lat =    49.849239 +/- 0.0020 deg
  Ht  = 89214.26 +/- 128.34 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
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,    99921.09,    89562.18,          0.014377,     47.63,     16.37,              17.13, 1.0000,    True,    True, {"ff_name": "FF_UK002N_20211103_025148_780_0872192.fits"}
    UK003N,   False,    -0.162561,    51.236425,  112.00,   2.021299,  25.371341,    96879.67,    89214.26,          0.008971,     16.01,     24.82,              16.84, 1.0000,    True,    True, {"ff_name": "FF_UK003N_20211103_025156_853_0877056.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,     UK002N,       0,  0.000000, 2459521.619420900941, 104.24633,  -8.30965,              158.12920,  28.11984,       158.13268,       28.11941,    104.24633,      -8.30965,     104.24342,       -8.31079,   308432.29,  4181191.95,  4922151.88,      49.763503,       +0.199267,   99921.09,  206452.04,       0.00,              391.80,   905.76,      0.00,           70854.09,     -3.64,     10.57,          11.17,  +4.08,  +2.51
  1,     UK002N,       0,  0.080388, 2459521.619421831332, 104.43039,  -8.71853,              158.03832,  27.67953,       158.07080,       27.67555,    104.43039,      -8.71853,     104.40340,       -8.72920,   309182.00,  4175890.71,  4921444.91,      49.794831,       +0.183364,   96003.09,  201285.81,    5400.46,             5008.66,  -211.22,  67179.94,           70854.09,    -33.12,     96.49,         104.54,  +2.80,  +1.28
  2,     UK002N,       0,  0.120628, 2459521.619422296993, 104.48983,  -8.98805,              158.04595,  27.40377,       158.03276,       27.40536,    104.48983,      -8.98805,     104.50147,       -8.98373,   309620.11,  4172792.87,  4921031.78,      49.813155,       +0.174081,   93714.52,  198273.42,    8556.28,             8164.48,    74.41,  78425.00,           70854.09,     13.38,    -38.65,          42.55,  +1.29,  -0.20
  3,     UK002N,       0,  0.160844, 2459521.619422762655, 104.58385,  -9.21795,              158.00581,  27.15842,       157.99869,       27.15928,    104.58385,      -9.21795,     104.59055,       -9.21561,   310007.97,  4170050.31,  4920666.02,      49.829387,       +0.165832,   91689.00,  195609.90,   11350.18,            10958.38,    -0.18,  69472.32,           70854.09,      7.13,    -20.62,          23.01,  +1.12,  -0.34
  4,     UK002N,       0,  0.201076, 2459521.619423228316, 104.68584,  -9.46616,              157.96232,  26.89340,       157.96187,       26.89346,    104.68584,      -9.46616,     104.68706,       -9.46601,   310415.35,  4167169.75,  4920281.87,      49.846447,       +0.157166,   89562.18,  192816.60,   14284.66,            13892.85,    64.67,  72938.84,           71300.24,      0.44,     -1.28,           1.45,  +2.21,  +0.78
  0,     UK003N,       0,  0.054505, 2459521.619421539828,  93.19753,  -8.61630,              171.13207,  29.77061,       171.11882,       29.76586,     93.19753,      -8.61630,      93.20981,       -8.61990,   309014.23,  4177077.00,  4921603.11,      49.787817,       +0.186956,   96879.67,  190652.53,       0.00,             3800.16,   426.42,      0.00,           66517.47,     34.79,    -22.41,          44.78,  +4.69,  +3.29
  1,     UK003N,       0,  0.094697, 2459521.619422005024,  93.15677,  -8.83012,              171.20215,  29.56173,       171.21729,       29.56713,     93.15677,      -8.83012,      93.14338,       -8.82602,   309353.04,  4174681.32,  4921283.62,      49.801983,       +0.179744,   95109.55,  188316.50,    2440.53,             6240.69,     0.18,  60721.77,           66517.47,    -39.29,     25.38,          51.24,  +2.46,  +1.09
  2,     UK003N,       0,  0.134909, 2459521.619422470685,  93.06988,  -9.05494,              171.32513,  29.34622,       171.32578,       29.34645,     93.06988,      -9.05494,      93.06985,       -9.05476,   309719.48,  4172090.19,  4920938.06,      49.817313,       +0.171949,   93195.50,  185793.12,    5080.15,             8880.31,  -228.40,  65642.69,           66517.47,     -1.67,      1.08,           2.20,  +1.12,  -0.23
  3,     UK003N,       0,  0.175153, 2459521.619422936346,  92.97871,  -9.31664,              171.45625,  29.09424,       171.44973,       29.09190,     92.97871,      -9.31664,      92.98542,       -9.31843,   310129.94,  4169187.85,  4920551.01,      49.834494,       +0.163226,   91052.15,  182970.83,    8036.81,            11836.98,  -142.22,  73468.37,           66517.47,     16.55,    -10.65,          22.19,  +1.09,  -0.22
  4,     UK003N,       0,  0.215369, 2459521.619423402008,  92.91190,  -9.55190,              171.55648,  28.86619,       171.55924,       28.86718,     92.91190,      -9.55190,      92.91026,       -9.55114,   310481.99,  4166698.48,  4920219.02,      49.849239,       +0.155711,   89214.26,  180553.38,   10572.79,            14372.95,  -474.73,  63058.83,           66492.02,     -6.93,      4.46,           9.41,  +2.75,  +1.47

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.