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General relativity and satellite orbits
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Rubincam, D. P. |
| Copyright Year | 1975 |
| Description | The general relativistic correction to the position of a satellite is found by retaining Newtonian physics for an observer on the satellite and introducing a potential. The potential is expanded in terms of the Keplerian elements of the orbit and substituted in Lagrange's equations. Integration of the equations shows that a typical earth satellite with small orbital eccentricity is displaced by about 17 cm. from its unperturbed position after a single orbit, while the periodic displacement over the orbit reaches a maximum of about 3 cm. The moon is displaced by about the same amounts. Application of the equations to Mercury gives a total displacement of about 58 km. after one orbit and a maximum periodic displacement of about 12 km. |
| File Size | 790051 |
| Page Count | 41 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19750014277 |
| Archival Resource Key | ark:/13960/t58d4pk06 |
| Language | English |
| Publisher Date | 1975-03-01 |
| Access Restriction | Open |
| Subject Keyword | Astrodynamics Euler-lagrange Equation Orbital Mechanics Orbit Calculation Relativity Newton Theory Equations of Motion Trajectory Analysis Celestial Mechanics Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Article |
