- #71
baywax
Gold Member
- 2,176
- 1
Orion1 said:
Oldest star age in Milky Way galaxy mass: (HE 1523-0901)
[tex]m_0 = 0.8 \cdot m_{\odot}[/tex]
Third generation stellar formation time with respect to mass.
[tex]\boxed{t_3 = \left( \frac{m_3}{m_0} \right)(t_u - t_0)}[/tex]
Third generation stellar mass equivalent to solar mass:
[tex]\boxed{m_3 = m_{\odot}}[/tex]
Integration by substitution:
[tex]t_f = \left( \frac{m_{\odot}}{0.8 \cdot m_{\odot}} \right)(t_u - t_0) = 1.25 (0.65) \cdot 10^9 \; \text{y} = 0.8125 \cdot 10^9 \; \text{y}[/tex]
Third generation stellar formation time for Sol:
[tex]\boxed{t_f = 0.8125 \cdot 10^9 \; \text{y}}[/tex]
Third generation stellar formation time:
[tex]\boxed{t_3 = \left( \frac{m_3}{m_{\odot}} \right) t_f}[/tex]
What universal effects would you expect the stellar mass and planet mass to have on planetary liquid water formation time and proto-RNA formation time?
Given the exact same solar type system with a more massive star could energetically catalyze liquid water formation and self-replication processes faster and a smaller planet heats and cools faster than a larger planet to produce liquid water, therefore my solution with respect to mass becomes...
Planetary liquid water formation time and proto-RNA formation time with respect to mass:
[tex]\boxed{t_{wp} + t_g = \left( \frac{m_{\odot}}{m_3} \right) \left( \frac{m_p}{m_E} \right) [(t_E - t_z) + (t_z - t_l)]}[/tex]
Maximum main sequence stellar mass limit for habitable zone:
[tex]\boxed{m_s \leq m_{\odot} \left( \frac{\left( \frac{m_3}{m_{\odot}} \right) t_f + \left( \frac{m_p}{m_E} \right) (t_{\odot} - t_E) + \left( \frac{m_{\odot}}{m_3} \right) \left( \frac{m_p}{m_E} \right) [(t_E - t_z) + (t_z - t_l)]}{t_L} \right)^{-0.4}}[/tex]
[tex]m_s \leq m_{\odot} \left( \frac{t_{RNA}}{t_L}} \right)^{-0.4} \leq m_{\odot} \left( \frac{1.3825}{11} \right)^{-0.4} \leq 2.2924 \cdot m_{\odot} \; \; \; (m_3 = m_{\odot}) \; \; \; (m_p = m_E)[/tex]
[tex]\boxed{0.1 \cdot m_{\odot} \leq m_s \leq 2.2924 \cdot m_{\odot}}[/tex]
Totally astounding Orion1!
By all accounts we should be hearing from our neighbours any day now. Or already have!