Key words: celestial navigation ;apparent place ;celestial body in solar system; two body problem

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Based on the fundamental theory of celestial mechanics and the discussion of two body problem under the action of universal gravitation ,the general model which can be continuously used to calculate the apparent place of celestial body in the solar system was derived. Then ,for the specific celestial body ,the material simulating method and the precision verification was given ,and the reason why the error was caused was analyzed and the corresponding method was offered .

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First, according to the hypothesis of two body problem, a series of formula are deduced for analyzing the efforts causing by every restrict conditions and sketchy windows, which are about 2-3 days every month. Then, utilizing the precise orbit model, the precise windows are computed, which are only ~everal minutes.

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The mathematical models of the delay of the GPS signal in the circumstance are put forward respectively. The computation of orbital arc of the two satellite constellations is based on two body problem and perturbations models. An algorithm based on the IRI model and thin layer model is used to simulate the ionospheric delay of the GPS signal. The error models of observation, multipath, relativity and antenna phase center bias are also researched. Under the consideration of the autocorrelation of the electronical measurements, the autoregressive model of time series is introduced into the noise models.

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two body problem：二體問題

扭矩 twisting moment | 二體問題 two body problem | 二維幾何 two dimensional geometry

two body problem：兩體問題

"兩節(jié)曝光","two stops system" | "兩體問題","two-body problem" | "復(fù)圓測向儀","two-circle goniometer"

two body problem：二體課題

扭轉(zhuǎn)項 twisting term | 二體課題 two-body problem | 雙圓測角計 two-circle goniometer