Stability of and motion aboutL4 at three-to-one commensurability

abstract

• The stability of L4 and the motion about L4 in the restricted problem of three bodies is investigated when there is three-to-one commensurability between the long and short periods of motion, that is, when the mass ratio has the value =0.013516.... The two time scale method is used (1) to show that L4 is an unstable equilibrium point when =3, (2) to determine for what initial conditions periodic orbits occur when 3, (3) to determine the stability of the periodic orbits, and (4) to investigate the boundedness of the motions about L4 when 3. 1971 D. Reidel Publishing Company.

authors

• Alfriend, Terry

published proceedings

• Celestial Mechanics and Dynamical Astronomy

author list (cited authors)

• Alfriend, K. T.

citation count

• 15

complete list of authors

• Alfriend, KT

publication date

• September 1971

publisher

• Springer Nature  Publisher

published in

• Celestial Mechanics and Dynamical Astronomy  Journal

Digital Object Identifier (DOI)

• 10.1007/bf01230322

start page

• 60

end page

• 77

volume

• 4

issue

• 1

URL

• http%3A%2F%2Fdx.doi.org%2F10.1007%2Fbf01230322