Applied Orbit Perturbation and Maintenance


Book Description

Since the start of the space age more than 50 years ago, various space technology applications - including communication, navigation, and remote sensing - have advanced significantly. To meet the challenges in each application category, special orbits such as geo-stationary, semi-synchronous, Molniya, sun-synchronous, and frozen have been invented or selected. Although a good number of texts on the principles and applications of astrodynamics have been published, a book is needed to summarize the perturbation theories and control, or station keeping, algorithms for understanding the dynamics, stability, and maintenance of those orbits. Applied Orbit Perturbations and Maintenance was written to meet that need. It summarizes, in appropriate technical and mathematical detail, perturbation theories and station keeping algorithms for various types of mission orbits and constellations. Space mission designers/analysts and systems engineers will put this book to great use.










A Discussion of Halphen's Method for Secular Perturbations and Its Application to the Determination of Long Range Effects in the Motions of Celestial Bodies


Book Description

This paper discusses some applications of Halphen's method for determining the long range (secular) perturbations for planetary and cometary type orbits. This method of treating secular planetary effects has been suggested by Musen for the determination of the long range perturbations due to the moon for artificial satellite orbits. Two FORTRAN II computer programs incorporating this method are described and representative results are presented. The comparison of results obtained here with those obtained by applying other methods demonstrates the adequacy of this method for minor planets and appropriate artificial satellites. It shows also that considerable saving in computer time can be made in the study of artificial satellite orbits when the short period perturbations are not of interest by using a program based on Halphen's method rather than one based on the use of an unaveraged disturbing function. The program for artificial satellites is given.




A Modified Hansen's Theory as Applied to the Motion of Artificial Satellites


Book Description

This report presents a theory of oblateness perturbations of the orbits of artificial satellites based on Hansen's theory, with modification for adaptation to fast machine computation. The theory permits the easy inclusion of any gravitational terms and is suitable for the deduction of geo-physical and geodetic data from orbit observations on artificial satellites. The computations can be carried out to any desired order compatible with the accuracy of the geodetic parameters.