Recent content by astrostuart

Yes I would say it would be probable that the worlds would rotate, but still may be synchronized if the system is very old. Your distance is nearly twice the Earth moon distance of 384,400 km, but an Earth mass is roughly a little more than 8 times a moon mass, and since tides are raised to the...

First presentation of the rate of planets migrating into the star: Eureka! I found it! The rate of migration of planets into the star Posted 2014 Mar 05 Here is the first public presentation of the equation giving the rate of...

My mistake, I did not think how P_f for "P falloff" would be confused with "P final", so perhaps P_c for "P change" or "P crossover" since this variable sets where the distribution goes from a steep slope at shorter periods than the "crossover period" to a less steep slope at longer periods...

I have a tentative solution to my question, how fast are planets migrating inwards, posted at https://www.physicsforums.com/showthread.php?p=4240604#post4240604 I've posted my math in the calculus section, because it is hardcore calculus help that I want, but I sure would be grateful if some of...

I think I have an expression on the flow rate, so now my question becomes did I do it right? Is the concept right? Did I keep track of all the terms? I will put the above dP/dt into the distribution equation using the chain rule: First, remove the logarithm from the distribution...

Now, I want P as a function of T using the previous derivation of \frac{\operatorname{d}P}{\operatorname{d}t } (I accidentally put an s subscript for the radius of the star above, should be "*") \operatorname{d}P= \frac{-27}{32 \pi} \frac{ G^{5/3} }{ M_*^{8/3} } %\frac{R_*^5...

I am trying to find the rate of planets flowing past radius of the star, R_*. This would give how many planets flow into the star: \frac{\operatorname{d}f(P)}{\operatorname{d} t } evaluated at the radius of the star, R_*. (In the above equation, there should be R_*^5, the radius of the star...

I just posted a question to ask for help on the Calculus & Analysis section to determine how fast planets go into stars. I should give a little background, in addition to pointing you to my latest two short papers: http://arxiv.org/abs/1301.4229 and http://arxiv.org/abs/1211.1984 I have...

I am an astronomer with a research question: I want to evolve this equation for planet distribution: \frac{{\operatorname{d}}f(P)}{{\operatorname{d} \operatorname{log}}{P}}= k_P P^\beta \left(1-e^{-(P/P_0)^\gamma }\right) as a function of period ``P'', by using an equation for change of P. I...