\documentstyle[11pt]{article} \textheight 22cm \textwidth 16cm \hoffset= -0.6in \voffset= -0.5in \setlength{\parindent}{0cm} \setlength{\parskip}{15pt plus 2pt minus 2pt} \pagenumbering{roman} \setcounter{page}{-9} \newcommand{\be}{\begin{equation}} \newcommand{\ee}{\end{equation}} \newcommand{\bd}{\begin{displaymath}} \newcommand{\ed}{\end{displaymath}} \begin{document} \begin{center} {\Large ASTR450 Homework \# 4 -- Central Force Motion\\ Due Tuesday, March 7} \end{center} Reading: Finish reading Danby's Chapter 6. You can skim sections 6.6 \& 6.7, and skip sections 6.8-6.13. 1. Danby: Page 136, Problem 2. This is a hard problem. The relationships between $\nu$, $E$ and $M$ will be useful as will the discussion and plot on page 133. 2. Danby: Page 136, Problem 6. For what value of q is the time spent inside 1 AU maximum, and what is the maximum time? Give a physical reason for why this value of q is ``reasonable'' (draw a picture). 3. Danby: Page 137, Problem 9. 4. Danby: Page 137, Problem 12. If we increase Earth's orbital eccentricity while leaving its semimajor axis constant, does it receive more sunlight over a year or less? \enddocument{}