Interpolation Method Research and Precision Analysis of GPS Satellite Position

(整期优先)网络出版时间:2018-03-13
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Accordingtothepreciseephemerishasonlyprovidedsatellitepositionthatisdiscretenotanytime,soproposethatmakeuseofinterpolationmethodtocalculatesatellitepositionatanytime.TheessaytakeadvantageofIGSpreciseephemerisdatatocalculatesatellitepositionatsometimebyusingLagrangeinterpolation,Newtoninterpolation,Hermiteinterpolation,Cubicsplineinterpolationmethod,Chebyshevfittingmethodrespectively,whichhasadeeplyanalysisintheprecisionoffiveinterpolations.TheresultsshowthattheprecisionofCubicsplineinterpolationmethodistheworst,theprecisionofChebyshevfittingisbetterthanHermiteinterpolationmethod.LagrangeinterpolationandNewtoninterpolationarebetterthanothermethodsinprecision.Newtoninterpolationmethodhastheadvantagesofhighspeedandhighprecision.Therefore,Newtoninterpolationmethodhasacertainscientificsignificanceandpracticalvaluetogetthepositionofthesatellitequicklyandaccurately.