General relativity and satellite orbits

Details General relativity and satellite orbits General relativity and satellite orbits

Mar 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975grso.book.....r&link_type=abstract

General relativity and satellite orbits., by Rubincam, D. P.. Goddard Space Flight Center, Greenbelt, Maryland, GSFC Document X

Physics

2

Equations Of Motion, Newton Theory, Orbit Calculation, Relativity, Trajectory Analysis, Celestial Mechanics, Euler-Lagrange Equation, Orbital Mechanics

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

General relativity and satellite orbits does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with General relativity and satellite orbits, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and General relativity and satellite orbits will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1521194