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Qmechanic ♦
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Extreme Mass Ratio Inspirals and GWs cylcescycles

I was reading through the following paper GRMHD study of accreting massive black hole binaries in astrophysical environment: A review. Therein, we have the following image   

enter image description here

It is not quite clear how long Post-Newtonian (PN) theory remains adequate and what distinguishes between an inspiral and a late inspiral. My questions are as follows:

  • How long does the inspiral phase last before it transitions into a late inspiral phase, rendering PN theory inadequate? In other words, how long do the early to mid-inspiral phases last, and how long does the late inspiral phase run?

  • Specifically, how long does a late inspiral phase last? In the book "Gravitational-Wave Astronomy: Exploring the Dark Side of the Universe," it is stated that

As an example, a $10M\odot$/$10^{6}M\odot$ system will spend the last few years of inspiral in a very tight orbit emitting $10^5$ −$10^6$ gravitational-wave cycles in the LISA band.

  • How do they determine that the late inspiral lasts this long, and how many gravitational wave cycles are emitted during this period?

Extreme Mass Ratio Inspirals and GWs cylces

I was reading through the following paper GRMHD study of accreting massive black hole binaries in astrophysical environment: A review. Therein, we have the following image  enter image description here

It is not quite clear how long Post-Newtonian (PN) theory remains adequate and what distinguishes between an inspiral and a late inspiral. My questions are as follows:

  • How long does the inspiral phase last before it transitions into a late inspiral phase, rendering PN theory inadequate? In other words, how long do the early to mid-inspiral phases last, and how long does the late inspiral phase run?

  • Specifically, how long does a late inspiral phase last? In the book "Gravitational-Wave Astronomy: Exploring the Dark Side of the Universe," it is stated that

As an example, a $10M\odot$/$10^{6}M\odot$ system will spend the last few years of inspiral in a very tight orbit emitting $10^5$ −$10^6$ gravitational-wave cycles in the LISA band.

  • How do they determine that the late inspiral lasts this long, and how many gravitational wave cycles are emitted during this period?

Extreme Mass Ratio Inspirals and GWs cycles

I was reading through the following paper GRMHD study of accreting massive black hole binaries in astrophysical environment: A review. Therein, we have the following image 

enter image description here

It is not quite clear how long Post-Newtonian (PN) theory remains adequate and what distinguishes between an inspiral and a late inspiral. My questions are as follows:

  • How long does the inspiral phase last before it transitions into a late inspiral phase, rendering PN theory inadequate? In other words, how long do the early to mid-inspiral phases last, and how long does the late inspiral phase run?

  • Specifically, how long does a late inspiral phase last? In the book "Gravitational-Wave Astronomy: Exploring the Dark Side of the Universe," it is stated that

As an example, a $10M\odot$/$10^{6}M\odot$ system will spend the last few years of inspiral in a very tight orbit emitting $10^5$ −$10^6$ gravitational-wave cycles in the LISA band.

  • How do they determine that the late inspiral lasts this long, and how many gravitational wave cycles are emitted during this period?
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RKerr
RKerr
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Extreme Mass Ratio Inspirals and GWs cylces

I was reading through the following paper GRMHD study of accreting massive black hole binaries in astrophysical environment: A review. Therein, we have the following image enter image description here

It is not quite clear how long Post-Newtonian (PN) theory remains adequate and what distinguishes between an inspiral and a late inspiral. My questions are as follows:

  • How long does the inspiral phase last before it transitions into a late inspiral phase, rendering PN theory inadequate? In other words, how long do the early to mid-inspiral phases last, and how long does the late inspiral phase run?

  • Specifically, how long does a late inspiral phase last? In the book "Gravitational-Wave Astronomy: Exploring the Dark Side of the Universe," it is stated that

As an example, a $10M\odot$/$10^{6}M\odot$ system will spend the last few years of inspiral in a very tight orbit emitting $10^5$ −$10^6$ gravitational-wave cycles in the LISA band.

  • How do they determine that the late inspiral lasts this long, and how many gravitational wave cycles are emitted during this period?