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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
Moon and sun perturbations

Figure 2.

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

Figure 3.

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

Figure 4.

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

Figure 5.

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

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

AxisUnitsΔMinMaxMeanRMS
XmΔ1Δ20.0000.00022.73321.9121.1161.0841.4221.379
YmΔ1Δ20.0000.0008.1788.3610.9070.8741.1701.124
ZmΔ1Δ20.0000.0008.0727.3301.0210.9461.2661.174
Vxm/sΔ1Δ20.00000.00000.01140.01260.00120.00110.00150.0014
Vym/sΔ1Δ20.00000.00000.00970.00970.00090.00080.00120.0010
Vzm/sΔ1Δ20.00000.00000.00900.00850.00090.00090.00120.0011
γxm/s2Δ1Δ2Constant 0Constant 1.02 × 10−6Constant 1.97 × 10−7Constant 2.92 × 10−7
γym/s2Δ1Δ2Constant 0Constant 1.02 × 10−6Constant 1.96 × 10−7Constant 2.91 × 10−7
γzm/s2Δ1Δ2Constant 0Constant 1.02 × 10−6Constant 1.57 × 10−7Constant 2.35 × 10−7

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
DOI: https://doi.org/10.2478/arsa-2025-0001 | Journal eISSN: 2083-6104 | Journal ISSN: 1509-3859
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
Publication frequency: 4 issues per year

© 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.