Libration Points of Binary Pulsars: a Contrarian View

摘要

A neutron star and a companion body in a binary pulsar follow trajectories describable as a Restricted Three-Body Problem. Primaries of comparable mass travel in nearly symmetric trajectories, wherein the barycenter is the center of rotation acting as a common focus for the two free trajectories. Moreover, this is also the L_1 Libration point acting as a stable and stationary point with no centrifugal or gravitational forces. A phase space integral equation solution for the Libration points of the three-body problem establishes decaying and growing eigenvalues. Subsequently, if debris exists within the binary pulsar at other Libration Points than L_1, stray mass would trace an elliptical orbit and potentially leave the system. Thus, this discovery may lead to a new class of 'Murad' Stars at L1, possibly consisting of debris, an asteroid, planet or small star in a binary pulsar or a 4-body restricted problem. These three bodies are at equal-spaced co-linear locations. Furthermore, the existence of this body at L_1 can account for orbit energy degradations between the neutron star and its companion. Such unusual effects are worth enhancing our current technology to establish if these celestial bodies exist to satisfy intellectual curiosity for mankind.