A discussion on orbital analysis - Preface

Soon after the first artificial satellites were launched in 1957, it became clear that their orbits were being recognizably altered by air drag and the non-spherical components of the Earth’s gravitational field. By analysing these changes in satellite orbits it has been possible to measure the Earth’s gravitational field and the density and temperature of the upper atmosphere in far greater detail and much more accurately than was ever possible before. At the end of 1965 the British National Committee for Space Research, under the chairmanship of Sir Harrie Massey, F.R.S., decided that a two-day international meeting should be held to discuss the techniques of orbital analysis. The meeting took place in the rooms of the Royal Society at Burlington House, London, on 17 and 18 October 1966, and was attended by over 100 participants from several countries. The papers presented at the meeting are collected in this volume

The structure of theories used in determining the gravitational field from the perturbations of orbits of artificial satellites is discussed and it is shown how it corresponds to the fact that small departures from a Keplerian ellipse are readily observed. Some current problems are mentioned. Statistical problems in the estimation of parameters of the field from orbital data are considered and recent estimates are summarized


The influence of air drag and the geopotential on near-circular satellite orbits, eccentricity e < 0.01, is considered. A model of the atmosphere is adopted that allows for oblateness, and in which the density behaviour approximates to the observed diurnal variation. Differential equations governing the variation in e and the argument of perigee ω are derived by combining the effects of air drag with those of the Earth’s gravitational field. These are solved numerically using initial conditions obtained from a series of computed orbits of the satellite 1963-27 A. The behaviour of the orbital elements predicted by the numerical solution is compared with the observed elements to test the developed theory, and to obtain values of atmospheric parameters at heights near 400 km.


1. Introduction This paper describes some recent results obtained from our analysis at the Royal Aircraft Establishment of the orbits of Sputniks 2 and 3. Three main topics are discussed: (1) irregularities in air density in the upper atmosphere; (2) the changes in the inclination of the orbit to the equator, and what can be learnt from them ; (3) the earth’s gravitational field. In the first two of these subjects the results are rather speculative and are intended to point the way towards future possibilities rather than to provide numerical answers.


The initial determinations of the variations in the lunar gravitational field are appreciably milder than those of the Earth in the sense of stress-implication, indicating a state closer to hydrostatic equilibrium. The variations determined also have a considerable correlation with the lunar topography, indicating a shallower origin than the Earth’s variations. The data are still insufficient to determine firmly the lunar oblateness, and thus help resolve the problem of the Moon’s moment of inertia. This paper is being issued as Publication No. 559 of the Institute of Geophysics and Planetary Physics, University of California, Los Angeles.


2003 ◽  
Vol 68 (10) ◽  
Author(s):  
Johan Hansson ◽  
David Olevik ◽  
Christian Türk ◽  
Hanna Wiklund

1983 ◽  
Vol 26 (2) ◽  
pp. 187-188
Author(s):  
Yu D Bulanzhe ◽  
Yu E Nesterikhin ◽  
N P Pariĭskiĭ

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