Enni S.'s A 1-(S,T)-edge-connectivity augmentation algorithm PDF

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In other words, the global system has to be rotated around the z-axis with angle λ, then around the y-axis with angle 90° – ϕ, and then change the sign of the x-axis. 12) where Xlocal and Xglobal are the same vector represented in local and global coordinate systems. (ϕ, λ) are the geodetic latitude and longitude of the local point. If the vertical direction is defined as the plump line of the gravitational field at the local point, then such a local coordinate system is called an astronomic horizontal system (its x'-axis is pointed to the north, left-handed system).

2 can be used. 2 Disturbed Satellite Motion Keplerian motion of the satellite is a motion under the assumption that the satellite is only attracted by the central force of the Earth. This is, of course, an approximation. The Earth cannot be considered a mass point or a homogenous sphere for a satellite problem. The total attracting force of the Earth can be considered the central force plus the non-central force. The latter one is called Earth’s disturbing force, which has 31 32 Chapter 3 · Satellite Orbits an order of 10–4 compared with the central force.

It is the angle of the sight line to satellite with respect to the Earth centred radius vector of the station. 75) or where ρ and H are the lengths of lines from the sup-ionospheric point to the sub-ionospheric point in sight and sub-ionospheric point, respectively. 76) ρ = −(r + 50) cos(zsips ) ± (r + 50 + H )2 − (r + 50)2 sin2 (zsips ) . 77) or Because ρ > 0, Eq. 75 has a unique solution: ρ = −(r + 50) cos(zsips ) + (r + 50 + H )2 − (r + 50)2 sin2 (zsips ) . Fig. 3. 78) 53 54 Chapter 5 · Physical Influences of GPS Surveying Comparing Eq.

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A 1-(S,T)-edge-connectivity augmentation algorithm by Enni S.

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