Updates

Change Log

The main changes are new Sections 4.6, 5.3, 5.8, and 5.9, which show the progress since 2003. Added 46 new references.

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	Updated progress in detectors. Dropped reference to resonant bars.
	Extended paragraph on the Futamase–Schutz method.
	Added five more references for the BDI approach above. Added four paragraphs on the derivation of the 3PN equations of motion below.
	Added reference to Fujita and Iyer.
	Added paragraph on the rate of change of the Carter constant below.
	Changed original $L$ and $J$ to $ˆ L$ and $ˆ J$ .
	Changed definition accordingly.
	Added $√1-- 2π$ to the right-hand side.
	Definitions of $E$ , $C$ , $lz$ are changed; new variables $ˆℰ$ , $ˆC$ , and $ˆlz$ are introduced. The footnote in the older version is moved to the main text. All of these variables in the text are changed. In the new version, $ℰ$ and $lz$ represent the energy and angular momentum of the particle. On the other hand, $E$ and $Jz$ represent the energy and angular momentum radiated to infinity or horizon.
	Simplifed last line from the original $λ = 1 + (H (ℓ + 1) − H (ℓ) − 1) 2$ .
	Corrected errors in the phase of the asymptotic amplitudes.
	Added new Subsection 4.6.
	Added missing negative sign to last term.
	Added new Subsection 5.3.
	Corrected last term from the original $( 2399- 773 ) 5 − 56 q − 3 π x$ .
	Corrected last term from the original $( ) − 101481134449 + 17161q2 − 2483q − 7865π x5$ .
	Simplified notation from the original $C y = Q2, Q2 = l2z + a2(1 − E2)$ . See note on revision above.
	Added new Subsection 5.8.
	Added new Subsection 5.9.