The following is a partial list of minor planets, running from minor-planet number 148001 through 149000, inclusive. The primary data for this and other partial lists is based on JPL's "Small-Body Orbital Elements" and "Data Available from the Minor Planet Center". A detailed description of the table's columns and additional sources are given on the main page including a complete list of every page in this series, and a statistical break-up on the dynamical classification of minor planets.
Also see the summary list of all named bodies in numerical and alphabetical order, and the corresponding naming citations for the number range of this particular list. Note that new namings may only be added to this list after official publication, as the preannouncement of names is condemned by the Working Group Small Body Nomenclature of the International Astronomical Union.
Homework Statement
Show that Eq. (6.33) follows from Eq. (6.32) by changing variables from t to ##\eta##.
Homework Equations
(6.32) $$\frac{d^2\phi^{(0)}}{dt^2}+3H\frac{d\phi^{(0)}}{dt}+V'=0$$
(6.33) $$\ddot{\phi^{(0)}}+2aH\dot{\phi}^{(0)}+a^2V'=0$$
The Attempt at a Solution
So...
Homework Statement
Show that ##4\pi G(\dot \phi)^2=\epsilon a^2 H^2##
Homework Equations
Over dots mean derivative with respect to ##\eta##.
$$\frac{1}{a}\frac{d}{d\eta}=\frac{d}{dt}$$
$$H=\frac{\dot a}{a^2}$$
$$\epsilon=\frac{-\dot H}{aH^2}$$
$$(\frac{\dot...
Homework Statement
The general goal of the problem is to derive some useful identities involving the slow-roll parameters during inflation.
For part a show that:
$$\frac {d} {d\eta} (\frac {1} {aH})= \epsilon - 1$$
Homework Equations
$$\epsilon \equiv \frac {d} {dt} (\frac {1} {H})= \frac...
Hi guys, I recently started reading/working through Scott Dodelson's Modern Cosmology in preparation for a Masters course I'm taking next year and one of the exercises has stumped me and (arghhh!) its not one of the solved ones in the back!
It is in Chapter 4 (The Boltzmann equations) and is...