IF JCR (2020): 0.551

IF SNIP (2020): 0.417

**Publisher:**

Association of Surveyors of Slovenia

Zemljemerska ulica 12, SI-1000 Ljubljana

E-mail: info@geodetski-vestnik.com

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Paper
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##### Uporaba variacij pospeška zaradi vpliva Lune in Sonca pri izračunu tirnic satelitov GLONASS

##### Implementation of the variation of the luni-solar acceleration into GLONASS orbit calculus

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Author(s):
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Sid Ahmed Medjahed, Abdelhalim Niati, Noureddine Kheloufi, Habib Taibi

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Abstract:
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In the differential equation system describes the motion of GLONASS satellites (rus. Globalnaya Navigazionnaya Sputnikovaya Sistema, or Global Navigation Satellite System ), the acceleration caused by the luni-solar traction is often taken as a constant during the period of the integration. In this work-study, we assume that the acceleration due to the luni-solar traction is not constant but varies linearly during the period of integration following this assumption; the linear functions in the three axes of the luni-solar acceleration are computed for an interval of 30 min and then implemented into the differential equations. The use of the numerical integration of Runge-Kutta fourth-order is recommended in the GLONASS-ICD (Interface Control Document) to solve for the differential equation system in order to get an orbit solution. The computation of the position and velocity of a GLONASS satellite in this study is performed by using the Runge-Kutta fourth-order method in forward and backward integration, with initial conditions provided in the broadcast ephemerides file.

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Keywords:
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luni-solar acceleration, satellite, ephemerides, Runge-Kutta method, forward integration, backward integration

**DOI:** 10.15292/geodetski-vestnik.2021.03.459-471

**Citation:**

Sid Ahmed Medjahed, Abdelhalim Niati, Noureddine Kheloufi, Habib Taibi (2021). *Uporaba variacij pospeška zaradi vpliva Lune in Sonca pri izračunu tirnic satelitov GLONASS. | Implementation of the variation of the luni-solar acceleration into GLONASS orbit calculus.* Geodetski vestnik, 65 (3), 459-471. DOI: 10.15292/geodetski-vestnik.2021.03.459-471

**Publisher:**

Association of Surveyors of Slovenia

Zemljemerska ulica 12, SI-1000 Ljubljana

E-mail: info@geodetski-vestnik.com