ag bg cg

 Element Symbol Value Epoch to 05:54:21.171 UTC December 16, 2007 Inclination i 51o.9970 R.A. of the Ascending Node aW0 251o.0219 Eccentricity e 0.0001492 Argument of Perigee w0 33o.8641 Mean Anomaly at TLE Epoch Mo 326o.2322 Mean Motion n 12.62256095 orbits / solar day Propagation Time Dt 1.7677141 solar days Mean Anomaly at Time t M(t) 1.37777389 radians (78o.940629) True Anomaly at Time t n(t) 78o.95065818 Semi-major Axis a 7791.787473 km Perigee Distance P 7790.624938 km Geocentric Distance r(t) 7791.564499 km Precessed R.A. of Asc. Node aW(t) 245o.6400244 Precessed Arg. of Perigee w(t) 37o.77767416 Argument of Latitude m(t) 116o.7283323 R.A. Difference Da 129o.278845 Geocentric R.A. ag 14o.9188694 Geocentric Declination dg +44o.73125163 Geocentric Cartesian x xg 5348.663965 km Geocentric Cartesian y yg 1425.05581 km Geocentric Cartesian z zg 5483.565179 km Observer Geodetic Longitude q -75o.6883 Observer Geodetic Latitude l +44o.5903 Observer Geocentric Dec. di +44o.5903 Observer Geocentric R.A. ai 15o.419875

We now need to find the distance from the Earth's center to the observing location:

rg = { [ cosdi / RE ]2 + [ sindi / RP ]2 }-1/2 + A

where: RE = the Equatorial Radius of the Earth = 6378.135 km
RP = the Polar Radius of the Earth = 6356.752 km; and
A = the Altitude Above Sea Level of the Observing Location = 0.1 km

rg = 6367.669472 km

The Geocentric Equatorial Cartesian coordinates of the observing location can now be calculated by using the following equations:

ag = rgcosaicosdi
bg = rgsina
icosdi
cg = rgsindi

ag = 4371.468712 km
bg = 1205.734692 km
cg = 4470.310913 km

BACK TO STEP #12

PROCEED TO STEP #14

 SITE MAP Step 13: Location's Cartesian Was Last Modified On April 01, 2014