Theoretical Evaluation of Atmospheric Drag Effects in the Motion of an Artificial Satellite, Part II.

Abstract

view Abstract Citations References Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Theoretical Evaluation of Atmospheric Drag Effects in the Motion of an Artificial Satellite, Part II. Brouwer, Dirk ; Hori, Gen-Ichiro Abstract In a previous paper, presented at the Pittsburg meeting, it was shown that the solution of the motion of an artificial satellite with atmospheric drag under the gravitational field of the oblate earth is reduced to that of the equations dL"k = CDAVpk" exp(-ar), dt dl"k F** dt - $CDAVqk" exp(-otr). aL"k The quantities Vpk" exp ( - ar), VOk" exp ( - r) are evaluated from the drag-free theory (Brouwer, Astron. J. 64, 378,1959). The third and the fourth harmonics are included as well as the second. The method of canonical transformation is extensively applied in this evaluation. Short-period terms of the drag-free problem produce secular and long- period terms. This is one important result of the coupling effect between drag and oblateness. The solution contains secular, mixed secular, long-period, and short-period terms. As for the variables Lj" and l " (j# 1), the solution is obtained up to the orders CDk2, k22 for secular and mixed secular terms; up to the order CD for periodic terms. For the variables l ", long-period terms are complete to the order CD/k2. The solution is complete to the order e4 for the variables Lj, 13" and 13"+13". The physical nature of the solution is discussed. Publication: The Astronomical Journal Pub Date: 1961 DOI: 10.1086/108484 Bibcode: 1961AJ.....66Q..39B full text sources ADS |