Design of distant retrograde orbits based on a higher order analytical solutiont. (August 2019)

• Record Type: Journal Article
• Authors: Lara, Martin
• Is Part Of: Acta astronautica. Volume 161(2019)
• Page Start: 562
• Page End: 578
• Publication Date: 2019-08
• Subjects: Distant retrograde orbits -- Quasi-satellite orbits -- Hill problem -- Perturbation methods -- Lindstedt series -- Periodic orbits -- Special functions; Astronautics -- Periodicals; Outer space -- Exploration -- Periodicals; Astronautics; Periodicals; 629.405
• DOI: 10.1016/j.actaastro.2019.01.039
• Languages: English
• ISSNs: 0094-5765

Abstract

Abstract: Because the distant retrograde orbits dynamics inherently depends on special functions, approximate analytical solutions in the literature are commonly constrained to providing rough approximations of the qualitative behavior. We rely on perturbation methods and succeed in computing a higher order analytical solution that extends the range of applicability of previous solutions to the problem of relative, quasi-satellite orbits with large librations. Besides, the analytical solution provides two design parameters that are effectively used in the computation of periodic, distant retrograde orbits without constraining to the typical 1:1 resonance. Highlights: An analytical solution of the distant retrograde orbits is provided. It comprises a Lindstedt series solution and short-period corrections. The short-period corrections involve special function. The solution provides two design parameters useful in mission design.