Synopsis of the main parameters of the model. The semimajor axis a and the eccentricity e of the cloud are considered constant in the three phases and equal to 300 pc and 0.866, respectively.
. | . | Phase A . | . | . | Phase B . | . | . | Phase C . | . | . |
---|---|---|---|---|---|---|---|---|---|---|
Parameter . | Units . | symbol . | Value . | . | symbol . | Value . | . | symbol . | Value . | Value . |
. | . | . | . | . | . | . | . | . | case (1) . | case (2) . |
Duration | Myr | |$t_{\rm f}^{\rm A}$| | 10 | |$t_{\rm f}^{\rm B}$| | undetermined | |$t_{\rm f}^{\rm C}$| | 10 | 10 | ||
of the phase | ||||||||||
Cloud's velocity | km s−1 | |$V_{0}^{\rm A}$| | 0 | |$V_{0}^{\rm B}$| | 30 | |$V_{0}^{\rm C}$| | 30 | 30 | ||
at the phase's start | ||||||||||
Cloud's velocity | km s−1 | |$V_{\rm f}^{\rm A}$| | 30 | |$V_{\rm f}^{\rm B}$| | 30 | |$V_{\rm f}^{\rm C}$| | 0 | 30 | ||
at the phase's end | ||||||||||
Acceleration of the cloud | km s− 1 Myr− 1 | −αA | 3.0 | −αB | 0 | −αC | −3.0 | 0 | ||
|$= \frac{V_{\rm f}^{\rm A}-V_{0}^{\rm A}}{t_{\rm f}^{\rm A}}$| | |$= \frac{V_{\rm f}^{\rm C}-V_{0}^{\rm C}}{t_{\rm f}^{\rm C}}$| | |||||||||
Cloud's density | atoms cm−3 | |$\rho _{0}^{\rm A}$| | 7 | |$\rho _{0}^{\rm B}$| | 14 | |$\rho _{0}^{\rm C}$| | 14 | 14 | ||
at the phase's start | ||||||||||
Cloud's density | atoms cm−3 | |$\rho _{\rm f}^{\rm A}$| | 14 | |$\rho _{\rm f}^{\rm B}$| | 14 | |$\rho _{\rm f}^{\rm C}$| | 0 | 0 | ||
at the phase's end | ||||||||||
Growth rate of the cloud's density | Myr−1 | λA | 0.1 | λB | 0 | λC | −0.1 | −0.1 | ||
|$= \frac{\rho _{\rm f}^{\rm A}-\rho _{0}^{\rm A}}{\rho _{0}^{\rm A}} \frac{1}{t_{\rm f}^{\rm A}}$| | |$= \frac{\rho _{\rm f}^{\rm C}-\rho _{0}^{\rm C}}{\rho _{0}^{\rm C}} \frac{1}{t_{\rm f}^{\rm C}}$| |
. | . | Phase A . | . | . | Phase B . | . | . | Phase C . | . | . |
---|---|---|---|---|---|---|---|---|---|---|
Parameter . | Units . | symbol . | Value . | . | symbol . | Value . | . | symbol . | Value . | Value . |
. | . | . | . | . | . | . | . | . | case (1) . | case (2) . |
Duration | Myr | |$t_{\rm f}^{\rm A}$| | 10 | |$t_{\rm f}^{\rm B}$| | undetermined | |$t_{\rm f}^{\rm C}$| | 10 | 10 | ||
of the phase | ||||||||||
Cloud's velocity | km s−1 | |$V_{0}^{\rm A}$| | 0 | |$V_{0}^{\rm B}$| | 30 | |$V_{0}^{\rm C}$| | 30 | 30 | ||
at the phase's start | ||||||||||
Cloud's velocity | km s−1 | |$V_{\rm f}^{\rm A}$| | 30 | |$V_{\rm f}^{\rm B}$| | 30 | |$V_{\rm f}^{\rm C}$| | 0 | 30 | ||
at the phase's end | ||||||||||
Acceleration of the cloud | km s− 1 Myr− 1 | −αA | 3.0 | −αB | 0 | −αC | −3.0 | 0 | ||
|$= \frac{V_{\rm f}^{\rm A}-V_{0}^{\rm A}}{t_{\rm f}^{\rm A}}$| | |$= \frac{V_{\rm f}^{\rm C}-V_{0}^{\rm C}}{t_{\rm f}^{\rm C}}$| | |||||||||
Cloud's density | atoms cm−3 | |$\rho _{0}^{\rm A}$| | 7 | |$\rho _{0}^{\rm B}$| | 14 | |$\rho _{0}^{\rm C}$| | 14 | 14 | ||
at the phase's start | ||||||||||
Cloud's density | atoms cm−3 | |$\rho _{\rm f}^{\rm A}$| | 14 | |$\rho _{\rm f}^{\rm B}$| | 14 | |$\rho _{\rm f}^{\rm C}$| | 0 | 0 | ||
at the phase's end | ||||||||||
Growth rate of the cloud's density | Myr−1 | λA | 0.1 | λB | 0 | λC | −0.1 | −0.1 | ||
|$= \frac{\rho _{\rm f}^{\rm A}-\rho _{0}^{\rm A}}{\rho _{0}^{\rm A}} \frac{1}{t_{\rm f}^{\rm A}}$| | |$= \frac{\rho _{\rm f}^{\rm C}-\rho _{0}^{\rm C}}{\rho _{0}^{\rm C}} \frac{1}{t_{\rm f}^{\rm C}}$| |
Synopsis of the main parameters of the model. The semimajor axis a and the eccentricity e of the cloud are considered constant in the three phases and equal to 300 pc and 0.866, respectively.
. | . | Phase A . | . | . | Phase B . | . | . | Phase C . | . | . |
---|---|---|---|---|---|---|---|---|---|---|
Parameter . | Units . | symbol . | Value . | . | symbol . | Value . | . | symbol . | Value . | Value . |
. | . | . | . | . | . | . | . | . | case (1) . | case (2) . |
Duration | Myr | |$t_{\rm f}^{\rm A}$| | 10 | |$t_{\rm f}^{\rm B}$| | undetermined | |$t_{\rm f}^{\rm C}$| | 10 | 10 | ||
of the phase | ||||||||||
Cloud's velocity | km s−1 | |$V_{0}^{\rm A}$| | 0 | |$V_{0}^{\rm B}$| | 30 | |$V_{0}^{\rm C}$| | 30 | 30 | ||
at the phase's start | ||||||||||
Cloud's velocity | km s−1 | |$V_{\rm f}^{\rm A}$| | 30 | |$V_{\rm f}^{\rm B}$| | 30 | |$V_{\rm f}^{\rm C}$| | 0 | 30 | ||
at the phase's end | ||||||||||
Acceleration of the cloud | km s− 1 Myr− 1 | −αA | 3.0 | −αB | 0 | −αC | −3.0 | 0 | ||
|$= \frac{V_{\rm f}^{\rm A}-V_{0}^{\rm A}}{t_{\rm f}^{\rm A}}$| | |$= \frac{V_{\rm f}^{\rm C}-V_{0}^{\rm C}}{t_{\rm f}^{\rm C}}$| | |||||||||
Cloud's density | atoms cm−3 | |$\rho _{0}^{\rm A}$| | 7 | |$\rho _{0}^{\rm B}$| | 14 | |$\rho _{0}^{\rm C}$| | 14 | 14 | ||
at the phase's start | ||||||||||
Cloud's density | atoms cm−3 | |$\rho _{\rm f}^{\rm A}$| | 14 | |$\rho _{\rm f}^{\rm B}$| | 14 | |$\rho _{\rm f}^{\rm C}$| | 0 | 0 | ||
at the phase's end | ||||||||||
Growth rate of the cloud's density | Myr−1 | λA | 0.1 | λB | 0 | λC | −0.1 | −0.1 | ||
|$= \frac{\rho _{\rm f}^{\rm A}-\rho _{0}^{\rm A}}{\rho _{0}^{\rm A}} \frac{1}{t_{\rm f}^{\rm A}}$| | |$= \frac{\rho _{\rm f}^{\rm C}-\rho _{0}^{\rm C}}{\rho _{0}^{\rm C}} \frac{1}{t_{\rm f}^{\rm C}}$| |
. | . | Phase A . | . | . | Phase B . | . | . | Phase C . | . | . |
---|---|---|---|---|---|---|---|---|---|---|
Parameter . | Units . | symbol . | Value . | . | symbol . | Value . | . | symbol . | Value . | Value . |
. | . | . | . | . | . | . | . | . | case (1) . | case (2) . |
Duration | Myr | |$t_{\rm f}^{\rm A}$| | 10 | |$t_{\rm f}^{\rm B}$| | undetermined | |$t_{\rm f}^{\rm C}$| | 10 | 10 | ||
of the phase | ||||||||||
Cloud's velocity | km s−1 | |$V_{0}^{\rm A}$| | 0 | |$V_{0}^{\rm B}$| | 30 | |$V_{0}^{\rm C}$| | 30 | 30 | ||
at the phase's start | ||||||||||
Cloud's velocity | km s−1 | |$V_{\rm f}^{\rm A}$| | 30 | |$V_{\rm f}^{\rm B}$| | 30 | |$V_{\rm f}^{\rm C}$| | 0 | 30 | ||
at the phase's end | ||||||||||
Acceleration of the cloud | km s− 1 Myr− 1 | −αA | 3.0 | −αB | 0 | −αC | −3.0 | 0 | ||
|$= \frac{V_{\rm f}^{\rm A}-V_{0}^{\rm A}}{t_{\rm f}^{\rm A}}$| | |$= \frac{V_{\rm f}^{\rm C}-V_{0}^{\rm C}}{t_{\rm f}^{\rm C}}$| | |||||||||
Cloud's density | atoms cm−3 | |$\rho _{0}^{\rm A}$| | 7 | |$\rho _{0}^{\rm B}$| | 14 | |$\rho _{0}^{\rm C}$| | 14 | 14 | ||
at the phase's start | ||||||||||
Cloud's density | atoms cm−3 | |$\rho _{\rm f}^{\rm A}$| | 14 | |$\rho _{\rm f}^{\rm B}$| | 14 | |$\rho _{\rm f}^{\rm C}$| | 0 | 0 | ||
at the phase's end | ||||||||||
Growth rate of the cloud's density | Myr−1 | λA | 0.1 | λB | 0 | λC | −0.1 | −0.1 | ||
|$= \frac{\rho _{\rm f}^{\rm A}-\rho _{0}^{\rm A}}{\rho _{0}^{\rm A}} \frac{1}{t_{\rm f}^{\rm A}}$| | |$= \frac{\rho _{\rm f}^{\rm C}-\rho _{0}^{\rm C}}{\rho _{0}^{\rm C}} \frac{1}{t_{\rm f}^{\rm C}}$| |
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