ASetofNovelOrbitalElementsModelingApproachUsingQuaternion

doi:10.3780/j.issn.1000-758X.2013.05.010

Chinese Space Science and Technology ›› 2013, Vol. 33 ›› Issue (5): 62-68.doi: 10.3780/j.issn.1000-758X.2013.05.010

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ASetofNovelOrbitalElementsModelingApproachUsingQuaternion

CAO Jing, YUAN Jian-Ping, LUO Jian-Jun

（NationalKeyLaboratoryofAerospaceFlightDynamics，NorthwesternPolytechnicalUniversity，Xi′an710072）

Received:2012-10-10 Revised:2013-01-28 Published:2013-10-25 Online:2013-10-25

Abstract

Abstract: Focusedonthesingular,indeterminationandthecalculationinefficiencyoftraditionalorbitalelementsbasedonEulerangles,asetofnovelorbitalelementsusingquaternionwasproposed.Therelationshipsofthenovelelementsandtheclassicorbitalelements,aswellasthenovelelementsandthepositionandvelocityintheinertialcoordinatewerebuilt.TheGaussperturbationequationswerederivedbasedonthenovelelements.Thevalidityandadvantageswerevalidatedbythepropagationoftheorbitunder J₂rturbation.Theresultsshowthatthenovelelementscannotonlyavoidthesingularandindeterminationincircularandequatorialorbit,butalsowithhighercalculationefficiencyandaccuracyforitsoperationwithouttrigonometricfunction.

Key words: Quaternion, Eulerangle, Orbitalelement, Gaussperturbationequation, Orbitalperturbation

CAO Jing, YUAN Jian-Ping, LUO Jian-Jun. ASetofNovelOrbitalElementsModelingApproachUsingQuaternion[J]. Chinese Space Science and Technology, 2013, 33(5): 62-68.

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ASetofNovelOrbitalElementsModelingApproachUsingQuaternion

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