Utilization of satellite observations to determine the mean orbital elements
Abstract
A special case of the boundaryvalue problem of perturbed Kepler motion is considered; namely, satellite motion in the aspherical gravitational field of the Earth. For this, an analytical solution in the form of mean orbital elements is known. An overview of existing methods for solving this boundaryvalue problem is given. A method for determining the mean orbital elements is presented and their convergence is investigated. Results from test calculations are given, using two types of observed values  combined range and angle measurements and pure direction measurements.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 December 1983
 Bibcode:
 1983STIN...8424627P
 Keywords:

 Boundary Value Problems;
 Orbital Elements;
 Orbital Mechanics;
 Satellite Perturbation;
 Bearing (Direction);
 Convergence;
 Kepler Laws;
 Astrodynamics