Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985rpspr...3...38l&link_type=abstract
In its USSR Rept.: Space (JPRS-USP-85-001) p 38 (SEE N85-22403 13-12) Transl. into ENGLISH from Astronomicheskiy Zh. (USSR),
Astronomy and Astrophysics
Astronomy
Celestial Mechanics, Gravitational Effects, Lagrangian Equilibrium Points, Three Body Problem, Charged Particles, Coulomb Potential
Scientific paper
Lagrangian solutions in the photogravitational restricted circular three-body problem are obtained. The problem is formulated as follows. It is assumed that the main bodies M1 and M2 with the masses 1-mu and mu(mu= 1/2) move under the influence of reciprocal attraction in circles with a unit angular velocity, the distance between them being assumed equal to unity. A study was made of the motion of a body M of small mass caused by the main bodies and characterized by the force function U-(Q1(1-mu)/R sub 1) + ((Q2)mu/R sub 2) where R1 and R2 are the distances between the M body and the main bodies M1 and M2 respectively, Q1 and Q2 are some constant parameters. When Q1 = Q2 = 1 the classical restricted three-body problem is obtained. Depending on the characteristics of the emitting body and the size and mass of the M body the Q1 and Q2 values can assume values in the range - infinity to 1. Investigating the existence of linear and triangular libration points in the restricted photogravitational problem of three bodies for any real Q1 and Q2 values from - infinity to + infinity.
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