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Julian Epoch to Besselian Epoch

Transform position and velocity components from Standard Julian Epoch (J2000) to discontinued Standard Besselian Epoch (B1950)

Library

Utilities/Axes Transformations

Description

The Julian Epoch to Besselian Epoch block transforms two 3-by-1 vectors of Julian Epoch position (r¯J2000), and Julian Epoch velocity (v¯J2000) into Besselian Epoch position (r¯B1950), and Besselian Epoch velocity (v¯B1950). The transformation is calculated using:

[r¯B1950v¯B1950]=[M¯rrM¯vrM¯rvM¯vv]T[r¯J2000v¯J2000]

where

(M¯rr,M¯vr,M¯rv,M¯vv)

are defined as:

M¯rr=[0.9999256782-0.0111820611-0.00485794770.01118206100.9999374784-0.00002717650.0048579479-0.00002714740.9999881997]

M¯vr=[0.000002423950180.000000027106630.000000011776560.000000027106630.000002423978780.000000000065870.000000011776560.000000000065820.00000242410173]

M¯rv=[0.0005510.2385650.4357390.2385140.0026670.0085410.4356230.0122540.002117]

M¯vv=[0.999947040.011182510.004857670.011182510.999958830.000027180.004857670.000027141.00000956]

Inputs and Outputs

InputDimension TypeDescription

First

3-by-1 vectorContains the position in Standard Julian Epoch (J2000).

Second

3-by-1 vectorContains the velocity in Standard Julian Epoch (J2000).

OutputDimension TypeDescription

First

3-by-1 vectorContains the position in Standard Besselian Epoch (B1950).

Second

3-by-1 vectorContains the velocity in Standard Besselian Epoch (B1950).

Reference

"Supplement to Department of Defense World Geodetic System 1984 Technical Report: Part I - Methods, Techniques and Data Used in WGS84 Development," DMA TR8350.2-A.

Introduced before R2006a

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