TABLE 8

Receiver-Side Algorithm for Obtaining the Navigation Satellite Position and Velocity in the Lunar

Fixed Frame from the Coordinate-Based Parameter Set at Time t

OperationDescription
Embedded ImageNormalize time (t) from reference epoch time (toe) and known validity interval (Δt)
Embedded ImageObtain satellite position in MI frame
Embedded ImageObtain satellite velocity in MI frame
Embedded ImageCalculate Euler angles at t for frame transformation
Embedded Imageψ rotation matrix
Embedded Imageθ rotation matrix
Embedded Imageϕ rotation matrix
Embedded ImageRotation matrix from MI frame to ME frame
Embedded ImageSatellite position in ME frame
Embedded ImageSatellite velocity in ME frame