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

Periodic variations
Above results modify the temporal evolution of the basic angles l
and λ, entering the reactive dynamics
From the definitions of l(t) and λ(t), we can also split these angles in
secular and oscillatory pieces, denoted by ¯ l, ¯ λ, and ˜ l, ˜ λ,
respectively,
l(t) = ¯ l(t) + ˜ l[l; ¯ca(t)] ,
λ(t) = ¯ λ(t) + ˜ λ[l; ¯ca(t)] ,
¯ l(t) ≡
¯λ(t) ≡
t
t0
t
t0
¯n(t)dt + ¯cl(t) ,
[1 + ¯ k(t)]¯n(t)dt + ¯cλ(t) .
Note that ¯cl(t) = ¯cl(t0) and ¯cλ(t) = ¯cλ(t0) are constants.
The oscillatory contributions to l and λ are given by
BRI-IHP06-I – p.143/??