Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH

Implementation
Consider higher-PN corrections to ¯Gα by computing O(c −9 )
contributions to relevant d¯cα/dt. This is desirable as ¯Gα directly
contributes to the highly important adiabatic evolution of h+
and h×.
Employ as c1 the mean motion n, and as c2 the time
eccentricity et. Employ 3PN accurate expressions for n and et
in terms of E and L derived MGS.
Have to express the 3PN accurate orbital dynamics in terms
of l, n, and et. Derive the evolution equations for dn/dt, det/dt,
dcl/dt, and dcλ/dt in terms of l, n, and et.
Using these expressions, the evolution equations, for ¯n, ēt, ¯cl,
¯cλ, ñ, ˜et, ˜cl, and ˜cλ will be obtained in terms of l, ¯n, and ēt.
2PN - Damour, Gopakumar, Iyer - ADM
3PN - Königsdörffer and Gopakumar - Modified Harmonic
BRI-IHP06-I – p.116/??