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Besselian Epoch to Julian Epoch

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

  • Library:
  • Aerospace Blockset / Utilities / Axes Transformations

  • Besselian Epoch to Julian Epoch block

Description

The Besselian Epoch to Julian Epoch block transforms two 3-by-1 vectors of Besselian Epoch position (r¯B1950), and Besselian Epoch velocity (v¯B1950) into Julian Epoch position (r¯J2000), and Julian Epoch velocity (v¯J2000). For more information on the transformation, see Algorithms.

Ports

Input

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Position in Standard Besselian Epoch (B1950), specified as a 3-by-1 vector.

Data Types: double

Velocity in Standard Besselian Epoch (B1950), specified as a 3-by-1 vector.

Data Types: double

Output

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Position in Standard Julian Epoch (J2000), returned as a 3-by-1 vector.

Data Types: double

Velocity in Standard Julian Epoch (J2000), returned as a 3-by-1 vector.

Data Types: double

Algorithms

The transformation is calculated using:

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

where (M¯rr,M¯vr,M¯rv,Mvv) are defined as:

M¯rr[0.99992567820.01118206110.00485794770.01118206100.99993747840.00002717650.00485794790.00002714740.9999881997]

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]

References

[1] "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.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

Introduced before R2006a