In orbital mechanics (subfield of celestial mechanics), Gauss's method is used for preliminary orbit determination from at least three observations (more observations increases the accuracy of the determined orbit) of the orbiting body of interest at three different times. The required information are the times of observations, the position vectors of the observation points (in Equatorial Coordinate System), the direction cosine vector of the orbiting body from the observation points (from Topocentric Equatorial Coordinate System) and general physical data.
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| - Gaussen metodoa (eu)
- Gauss's method (en)
- Метод Гаусса (определение орбиты) (ru)
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| - Метод Гаусса в небесной механике и астродинамике используется для первоначального определения параметров орбиты небесного тела по трём наблюдениям. На практике для увеличения точности используется больше наблюдений, но в теории достаточно трёх. Кроме небесных координат объекта, необходимыми сведениями являются моменты наблюдений и земные координаты пунктов наблюдения. (ru)
- In orbital mechanics (subfield of celestial mechanics), Gauss's method is used for preliminary orbit determination from at least three observations (more observations increases the accuracy of the determined orbit) of the orbiting body of interest at three different times. The required information are the times of observations, the position vectors of the observation points (in Equatorial Coordinate System), the direction cosine vector of the orbiting body from the observation points (from Topocentric Equatorial Coordinate System) and general physical data. (en)
- Astrodinamikan (zeruko mekanikaren azpieremua), Gaussen metodoa, erabiltzen da, gutxienez hiru behaketatatik abiatuta (zenbat eta behaketa gehiago egin, orduan eta handiagoa izango da orbita determinatuaren zehaztasuna), hiru une ezberdinetan. Hauek dira eskatutako informazioa: behaketen denborak, behaketa-puntuen posizio-bektoreak, gorputz orbitalaren kosinuaren norabide-bektorea behaketa-puntuetatik abiatuta (Ekuatore Koordenatu Topozentrikoen Sistematik) eta datu fisiko orokorrak. (eu)
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| - Geocentric latitude (en)
- Geodetic latitude (en)
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| - In orbital mechanics (subfield of celestial mechanics), Gauss's method is used for preliminary orbit determination from at least three observations (more observations increases the accuracy of the determined orbit) of the orbiting body of interest at three different times. The required information are the times of observations, the position vectors of the observation points (in Equatorial Coordinate System), the direction cosine vector of the orbiting body from the observation points (from Topocentric Equatorial Coordinate System) and general physical data. Carl Friedrich Gauss developed important mathematical techniques (summed up in Gauss's methods) which were specifically used to determine the orbit of Ceres. The method shown following is the orbit determination of an orbiting body about the focal body where the observations were taken from, whereas the method for determining Ceres' orbit requires a bit more effort because the observations were taken from Earth while Ceres orbits the Sun. (en)
- Astrodinamikan (zeruko mekanikaren azpieremua), Gaussen metodoa, erabiltzen da, gutxienez hiru behaketatatik abiatuta (zenbat eta behaketa gehiago egin, orduan eta handiagoa izango da orbita determinatuaren zehaztasuna), hiru une ezberdinetan. Hauek dira eskatutako informazioa: behaketen denborak, behaketa-puntuen posizio-bektoreak, gorputz orbitalaren kosinuaren norabide-bektorea behaketa-puntuetatik abiatuta (Ekuatore Koordenatu Topozentrikoen Sistematik) eta datu fisiko orokorrak. Carl Friedrich Gaussek teknika matematiko garrantzitsuak garatu zituen (Gaussen metodoetan laburtuak), Zeresen orbita zehazteko erabili zirenak. (eu)
- Метод Гаусса в небесной механике и астродинамике используется для первоначального определения параметров орбиты небесного тела по трём наблюдениям. На практике для увеличения точности используется больше наблюдений, но в теории достаточно трёх. Кроме небесных координат объекта, необходимыми сведениями являются моменты наблюдений и земные координаты пунктов наблюдения. (ru)
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