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A Simplified–Modified Algorithm for Glonass Broadcast Orbits Computation Cover

A Simplified–Modified Algorithm for Glonass Broadcast Orbits Computation

Open Access
|Apr 2025

Figures & Tables

Figure 1.

Moon and sun perturbations

Figure 2.

Orbits of GLONASS satellite number 01 (March 8, 2024)

Table 1.

Statistics of differences (position, velocity, and L–S acceleration)

AxisUnitsΔMinMaxMeanRMS
XmΔ1
Δ2
0.000
0.000
22.733
21.912
1.116
1.084
1.422
1.379
YmΔ1
Δ2
0.000
0.000
8.178
8.361
0.907
0.874
1.170
1.124
ZmΔ1
Δ2
0.000
0.000
8.072
7.330
1.021
0.946
1.266
1.174
Vxm/sΔ1
Δ2
0.0000
0.0000
0.0114
0.0126
0.0012
0.0011
0.0015
0.0014
Vym/sΔ1
Δ2
0.0000
0.0000
0.0097
0.0097
0.0009
0.0008
0.0012
0.0010
Vzm/sΔ1
Δ2
0.0000
0.0000
0.0090
0.0085
0.0009
0.0009
0.0012
0.0011
γxm/s2Δ1
Δ2
Constant 0Constant 1.02 × 10−6Constant 1.97 × 10−7Constant 2.92 × 10−7
γym/s2Δ1
Δ2
Constant 0Constant 1.02 × 10−6Constant 1.96 × 10−7Constant 2.91 × 10−7
γzm/s2Δ1
Δ2
Constant 0Constant 1.02 × 10−6Constant 1.57 × 10−7Constant 2.35 × 10−7
Figure 3.

Difference (Δ2) in X, Y, and Z (positions)

Figure 4.

Difference (Δ2) in Vx, Vy, and Vz (velocities)

Table 2.

Maximum difference in X, Y, and Z axes between Δ1 and Δ2

AxesPosition (m)Velocity (m/s)L–S acceleration (m/s2)
X1.2280.001927.4506 × 10-9
Y1.2400.001937.4506 × 10-9
Z1.2070.001883.7253 × 10-9
(3D)1.7600.002708.0115 × 10-9
Mean0.45460.000673.0185 × 10-9
Figure 5.

Difference between (Δ1) and (Δ2) of integrate orbits

graphic/j_arsa-2025-0001_ufig_001.jpg
DOI: https://doi.org/10.2478/arsa-2025-0001 | Journal eISSN: 2083-6104 | Journal ISSN: 1509-3859 (formerly 0208-841X)
Language: English
Page range: 1 - 13
Submitted on: Oct 1, 2024
Accepted on: Jan 23, 2025
Published on: Apr 19, 2025
Published by: Polish Academy of Sciences, Space Research Centre
In partnership with: Paradigm Publishing Services

© 2025 Medjahed SID AHMED, published by Polish Academy of Sciences, Space Research Centre
This work is licensed under the Creative Commons Attribution 4.0 License.