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Applied Orbit Perturbation and Maintenance by Chao, Chia-Chun

By Chao, Chia-Chun

Even supposing loads of texts at the ideas and functions of astrodynamics were released, a booklet is required to summarize the perturbation theories and keep watch over, or station preserving, algorithms for realizing the dynamics, balance, and upkeep of these orbits. This publication used to be written to satisfy that want. It summarizes, in applicable technical and mathematical element, perturbation theories and station preserving algorithms for numerous kinds of venture orbits and constellations. house project designers/analysts and structures engineers will placed this ebook to nice use.
- information and knowledge showing during this ebook are for informational reasons merely. AIAA and the writer should not answerable for any damage or harm due to use or reliance, nor do AIAA and the writer warrant that use or reliance should be unfastened from privately owned rights

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Numbers in the 21 column are the power-of-sine terms, and numbers in the 31 column are the power-of-cosine terms. The other columns (41 through 3J) are not used for this application. 2. 750000000000000E+OO COS 1 11 21 31 41 51 1J 2J 35 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 0 0 0 Fig. 1. Sample input and output of the program KAULAFG. 2. 2. 2. 3 Generalized Equations of Variation in Terms of F and G Functions Substituting the spherical potential function, Vl, (Eq. [4. 6) Zlr,,,, = Sl,,sin[(I- 2 p ) w + ( I - 2p + q ) M + rn(R - 0 ) ] + Cl,,cos[(I- 2 p ) w + ( I - 2p + q ) M + rn( R - 0 ) ] for I - rn =odd number.

Chao and J. M. Baker, “On the Propagation and Control of Geosynchronous Orbits,”J. Astronautical Sci. XXXI (l), 99-1 15 (January-March 1983). Gunning and C. Chao, “A PC Based Tool for Molniya Orbit Analysis,” AIAA 963657, presented at the AIAA/AAS Astrodynamics Specialist Conference (San Diego, CA, 29-3 1 July 1996). 5 Application of Averaged Equations to Orbit Analysis This chapter provides examples of long-term orbit variations caused by perturbing sources such as solar-radiation pressure, lunisolar attractions, and Earth gravity harmonics (zonal only).

Duboshin, “Osnovnyye Zadachi; I Metody,” Nebesnaya Mekhanika, 1963. Translation: “Basic Problems and Methods, Celestial Mechanics,” Celestial Mechanics, Translation Division, Foreign Technology Division, United States Air Force, Wright-Peterson Air Force Base, OH, FTD-HT-23-956-68, 1969. Laplace, Mecanique Celeste, Vol. 1 (Courcier, Paris, 1805). Translation: N. Bowditch, Celestial Mechanics, Vol. 1 (Hilliard, Boston, 1929). S. Newcomb, “Development of the Perturbation Function and Its Derivatives in Series and Cosines of Multiples of the Eccentric Anomaly, and in Powers of the Eccentricities and Inclinations,” Astronomical Papers Prepared for the Use of the American Ephemeris and Nautical Almanac, Vol.

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