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Full-Text Articles in Cosmology, Relativity, and Gravity
Relations Relevant To The One Body Reduction Of The Gravitational Two Body Problem, Eric Addison
Relations Relevant To The One Body Reduction Of The Gravitational Two Body Problem, Eric Addison
Eric Addison
The one body reduction of the two body problem is outlined along with several important relations. It is verified that both masses in a binary system orbit around the common center of mass.
Instantaneous Velocities Of A Two Body Orbit, Eric Addison
Instantaneous Velocities Of A Two Body Orbit, Eric Addison
Eric Addison
This short note will derive expressions for the instantaneous velocity of the components in a two-body elliptical Keplerian orbit.
Derivation Of Initial Velocities For A Two-Body Orbit In The Barycenter Frame, Eric Addison
Derivation Of Initial Velocities For A Two-Body Orbit In The Barycenter Frame, Eric Addison
Eric Addison
The readily available information for two body orbits generally refers to the one dimensional, reduced mass case. Information about initial conditions in the barycenter frame is not easily found. In order to derive the initial velocities required for a two-body orbit in the barycenter frame, the momentum of the reduced mass can be used.
Binary Tidal Disruption Radius, Eric Addison
Binary Tidal Disruption Radius, Eric Addison
Eric Addison
An expression for the tidal disruption radius of a binary system is calculated.