Approximations of distant retrograde orbits for mission design

Anil Nirmal Hirani, Ryan P. Russell

Research output: Chapter in Book/Report/Conference proceedingConference contribution


Distant retrograde orbits (DROs) are stable periodic orbit solutions of the equations of motion in the circular restricted three body problem. Since no closed form expressions for DROs are known, we present methods for approximating a family of planar DROs for an arbitrary, fixed mass ratio. Furthermore we give methods for computing the first and second derivatives of the position and velocity with respect to the variables that parameterize the family. The approximation and derivative methods described allow a mission designer to target specific DROs or a range of DROs with no regard to phasing in contrast to the more limited case of targeting a six-state only.

Original languageEnglish (US)
Title of host publicationSpaceflight Mechanics 2006 - Proceedings of the AAS/AIAA Space Flight Mechnaics Meeting
Number of pages16
StatePublished - Dec 1 2006
EventSpaceflight Mechanics 2006 - AAS/AIAA Space Flight Mechnaics Meeting - Tampa, FL, United States
Duration: Jan 22 2006Jan 26 2006

Publication series

NameAdvances in the Astronautical Sciences
Volume124 I
ISSN (Print)0065-3438


OtherSpaceflight Mechanics 2006 - AAS/AIAA Space Flight Mechnaics Meeting
CountryUnited States
CityTampa, FL

ASJC Scopus subject areas

  • Aerospace Engineering
  • Space and Planetary Science

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