On the Stability of Artificial Collinear Points in the Restricted Three Body Problem under a Force Acting between the Primaries

doi:10.21203/rs.3.rs-3124744/v1

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On the Stability of Artificial Collinear Points in the Restricted Three Body Problem under a Force Acting between the Primaries

https://doi.org/10.21203/rs.3.rs-3124744/v1

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In this work, the collinear libration points in the circular ristricted three body problem are studied under the influence of applying a radial force. The problem is formulated with the addition of a force acting in the direction of the line between the two primaries. The positions of the collinear libration points and the stability conditions are found. The points L₁ and L₃ are poved to be always unstable under the existence of of a radial accelration, and the conditions for stability of L₂ are found.

Physical sciences/Astronomy and planetary science/Astronomy and astrophysics

Physical sciences/Astronomy and planetary science/Planetary science

Three body problem

Collinear Libration points

Artificial equilibrium points

Stability of Liberation Points.

No competing interests reported.

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