By Chao, Chia-Chun
Even if various texts at the ideas and purposes of astrodynamics were released, a publication is required to summarize the perturbation theories and keep an eye on, or station retaining, algorithms for knowing the dynamics, balance, and upkeep of these orbits. This booklet used to be written to satisfy that want. It summarizes, in acceptable technical and mathematical aspect, perturbation theories and station protecting algorithms for numerous kinds of project orbits and constellations. house venture designers/analysts and platforms engineers will positioned this publication to nice use.
- facts and data showing during this publication are for informational reasons basically. AIAA and the writer should not answerable for any harm or harm caused by use or reliance, nor do AIAA and the writer warrant that use or reliance might be unfastened from privately owned rights
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Extra info for Applied Orbit Perturbation and Maintenance
6 4 - 3 6 2 3 2525e3148 + . . 6 4 4 6 2 4 255e412 + . . 6 3 4 6 3 4 889e4124 + . . 6 3 3 6 3 - 3 301e3116 + ... 6 3 2 6 3 - 2 35e214 i133e413i... 6 3 1 6 3 7el2 + 371e3116 + ... 6 3 0 6 3 -1 0 Gl&) -el2 i 31e3/16 i 1 i2 1e2/2 i189e4/4 i. , . 2 F Function for Inclination Series The F function, FImp(ij,is derived in K a ~ l a , and ~ . ~all the terms are expressed in closed-form series in inclinations with Imp values up to 444 (Table 1 on p. l). 5which generates a particular term of F and G functions as specified in input.
J. Settecerri, “An Evaluation of Jacchia 71 and MSIS90 Atmosphere Models with NASA ODERACS Decay Data,” J. AstronauticalSci. 45 (2), 131-141 (April-June 1997). 4 Resonant Tesseral Harmonics in Kaula's Formulations This chapter examines the properties and applications of the commonly used inclination (F,and eccentricity ( G ) series gravity harmonics functions that William Kaula developed in the 1960s. ' he converts the spherical harmonic potential (Eq. [ 2 . 2 ] )to Keplerian elements with the introduction of the F and G functions.
29) indicates that for medium Earth orbits with altitude less than 10,000 km, one of the six angles ( A 1 to A 6 ) may be in resonance as one of the six angular rates (dAlldt to dA6idt) becomes very small. Thus a very long-term motion with sizable amplitude in eccentricity can occur. 29]) at various inclinations and altitudes for circular orbits. 2 shows an example of long-term eccentricity growth that was caused by resonance. The magnitude of each of the five coefficients, C1 to C5, in Eq. 29) is a function of the orbit inclination.