Exact solution to the relative orbital motion in eccentric orbits

Details Exact solution to the relative orbital motion in eccentric orbits Exact solution to the relative orbital motion in eccentric orbits

Feb 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009sosyr..43...41c&link_type=abstract

Solar System Research, Volume 43, Issue 1, pp.41-52

Mathematics

Logic

95.10.Eg, 91.10.Sp, Orbit Determination And Improvement, Satellite Orbits

Scientific paper

This paper studies the relative orbital motion between arbitrary Keplerian trajectories. A closed-form vectorial solution to the nonlinear initial value problem that models this type of motion with respect to a noninertial reference frame is offered. Without imposing any particular conditions on the leader or the deputy satellites trajectories, exact expressions for the relative law of motion and relative velocity are obtained in a closed form. This solution allows the parameterization of the relative motion manifold and offers new methods to study its geometrical and topological properties. The result presented in this paper opens the way to obtain new classes of approximate solutions to the equations of relative motion with time, an eccentric or true anomaly as independent variables.

Affiliated with

Also associated with

No associations

Rating

Exact solution to the relative orbital motion in eccentric 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 Exact solution to the relative orbital motion in eccentric orbits, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact solution to the relative orbital motion in eccentric orbits will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1246488