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Journal ArticleDOI

Second-Order Solution of Artificial Satellite Theory without Air Drag.

Yoshihide Kozai
- 01 Jun 1962 - 
- Vol. 67, pp 275
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This article is published in The Astronomical Journal.The article was published on 1962-06-01. It has received 149 citations till now. The article focuses on the topics: Drag.

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The Elimination of the Parallax in Satellite Theory

TL;DR: When the perturbation affecting a Keplerian motion is proportional tor−n (n≥3), a canonical transformation of Lie type will convert the system into one in which the perturbing is proportional Tor−2 as mentioned in this paper.
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Frozen Orbits for Satellites Close to an Earth-Like Planet

TL;DR: In this article, the second order zonal harmonic dominates all other coefficients in the gravity field, and it is shown that a planet is Earth-like if the coefficient of the second-order zonal harmonics dominates all the other coefficients.
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Tesseral harmonics of the gravitational field and geodetic datum shifts derived from camera observations of satellites

TL;DR: Tesseral harmonics of the gravitational field and geodetic datum shifts derived from Baker-Nunn camera observations of satellites were derived from satellite observations of the Earth as discussed by the authors.
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Third-Order Solution to the Main Problem in Satellite Theory

TL;DR: In this article, the main problem in satellite theory can be solved in closed-form to order 3 by constructing a progression of three canonical transformations from state variables to a set of action-angle variables in which the Hamiltonian for the problem is a function of the action variables only.

The role of orbit errors in processing of satellite altimeter data

Ernst Schrama
TL;DR: In this article, the problem of minimizing the crossover differences of profiles measured by the satellite radar has been investigated using either SEASAT observations or simulated data and it was found that the individual solutions resemble a concentration of signal near the signal per revolution frequency in the radial orbit error spectrum.