Preliminary study on relative motion and rendezvous between spacecraft in the restricted three-body problem

Davide Conte, David Bradley Spencer

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

4 Citations (Scopus)

Abstract

The focus of this paper is to present a preliminary study concerning relative motion and rendezvous in the restricted three-body problem. This paper presents full numerical simulations compared with linearized results of relative motion around well-known Lagrangian orbits such as halo orbits around Earth-Moon L2. Additionally, an initial linearization study is performed and presented to understand the general dynamics of such relative motion. Previous work on this topic relies on simplifications and assumptions that constrain the results to specific spatial domains and geometries. The reason to analyze such motion in linearized form as opposed to purely numerically integrate the equations of motion is to being able to study rendezvous and formation flying maneuvers around multiple families of Lagrangian orbits at once. Additionally, analytical and linearized analyses can provide important physical insight and help to quickly determine optimal solutions when searching through a large tradespace of orbital transfers and rendezvous maneuvers for both control-free and controlled dynamics. Future work is aimed to develop algorithms that, given a nominal Lagrangian orbit of interest, can describe the relative motion of two spacecraft that are operating "close" to each. Thus a more streamlined analytical work will be developed to compute which maneuvers are optimal to reduce Δv consumption, time of flight, or other parameters of interest.

Original languageEnglish (US)
Title of host publicationSpaceflight Mechanics 2016
EditorsMartin T. Ozimek, Renato Zanetti, Angela L. Bowes, Ryan P. Russell, Martin T. Ozimek
PublisherUnivelt Inc.
Pages4445-4463
Number of pages19
ISBN (Print)9780877036333
StatePublished - Jan 1 2016
Event26th AAS/AIAA Space Flight Mechanics Meeting, 2016 - Napa, United States
Duration: Feb 14 2016Feb 18 2016

Publication series

NameAdvances in the Astronautical Sciences
Volume158
ISSN (Print)0065-3438

Other

Other26th AAS/AIAA Space Flight Mechanics Meeting, 2016
CountryUnited States
CityNapa
Period2/14/162/18/16

Fingerprint

Space rendezvous
rendezvous
three body problem
Moon
spacecraft
Orbits
maneuvers
geometry
orbits
simulation
orbital rendezvous
Orbital transfer
transfer orbits
formation flying
Linearization
Equations of motion
Spacecraft
linearization
moon
simplification

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

Cite this

Conte, D., & Spencer, D. B. (2016). Preliminary study on relative motion and rendezvous between spacecraft in the restricted three-body problem. In M. T. Ozimek, R. Zanetti, A. L. Bowes, R. P. Russell, & M. T. Ozimek (Eds.), Spaceflight Mechanics 2016 (pp. 4445-4463). (Advances in the Astronautical Sciences; Vol. 158). Univelt Inc..
Conte, Davide ; Spencer, David Bradley. / Preliminary study on relative motion and rendezvous between spacecraft in the restricted three-body problem. Spaceflight Mechanics 2016. editor / Martin T. Ozimek ; Renato Zanetti ; Angela L. Bowes ; Ryan P. Russell ; Martin T. Ozimek. Univelt Inc., 2016. pp. 4445-4463 (Advances in the Astronautical Sciences).
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abstract = "The focus of this paper is to present a preliminary study concerning relative motion and rendezvous in the restricted three-body problem. This paper presents full numerical simulations compared with linearized results of relative motion around well-known Lagrangian orbits such as halo orbits around Earth-Moon L2. Additionally, an initial linearization study is performed and presented to understand the general dynamics of such relative motion. Previous work on this topic relies on simplifications and assumptions that constrain the results to specific spatial domains and geometries. The reason to analyze such motion in linearized form as opposed to purely numerically integrate the equations of motion is to being able to study rendezvous and formation flying maneuvers around multiple families of Lagrangian orbits at once. Additionally, analytical and linearized analyses can provide important physical insight and help to quickly determine optimal solutions when searching through a large tradespace of orbital transfers and rendezvous maneuvers for both control-free and controlled dynamics. Future work is aimed to develop algorithms that, given a nominal Lagrangian orbit of interest, can describe the relative motion of two spacecraft that are operating {"}close{"} to each. Thus a more streamlined analytical work will be developed to compute which maneuvers are optimal to reduce Δv consumption, time of flight, or other parameters of interest.",
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Conte, D & Spencer, DB 2016, Preliminary study on relative motion and rendezvous between spacecraft in the restricted three-body problem. in MT Ozimek, R Zanetti, AL Bowes, RP Russell & MT Ozimek (eds), Spaceflight Mechanics 2016. Advances in the Astronautical Sciences, vol. 158, Univelt Inc., pp. 4445-4463, 26th AAS/AIAA Space Flight Mechanics Meeting, 2016, Napa, United States, 2/14/16.

Preliminary study on relative motion and rendezvous between spacecraft in the restricted three-body problem. / Conte, Davide; Spencer, David Bradley.

Spaceflight Mechanics 2016. ed. / Martin T. Ozimek; Renato Zanetti; Angela L. Bowes; Ryan P. Russell; Martin T. Ozimek. Univelt Inc., 2016. p. 4445-4463 (Advances in the Astronautical Sciences; Vol. 158).

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

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Conte D, Spencer DB. Preliminary study on relative motion and rendezvous between spacecraft in the restricted three-body problem. In Ozimek MT, Zanetti R, Bowes AL, Russell RP, Ozimek MT, editors, Spaceflight Mechanics 2016. Univelt Inc. 2016. p. 4445-4463. (Advances in the Astronautical Sciences).