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CHAPTER 17
VISUAL BINARY STARS
17.1 Introduction
Many stars in the sky are seen through a telescope to be two stars apparently close
together. By the use of a filar micrometer it is possible to measure the position of one
star (the fainter of the two, f

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Celestial Mechanics A
Miscellaneous Problems
1. A comet, whose mass m is negligible compared with that of the Sun, is moving around
the Sun in a parabolic orbit. When at an end of its latus rectum it collides with and
coalesces with a stationary object.

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Solutions to Problems
1. Notation:
V1 = speed of comet immediately before collision.
V2 = speed of combined object immediately after collision, =
V1
, because linear
1+ k
momentum is conserved.
q = perihelion distance of original parabolic orbit, so tha

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CHAPTER 8
PLANETARY MOTIONS
8.1 Introduction
The word planet means wanderer ( wandering stars); in
contrast to the fixed stars, the planets wander around on the celestial sphere, sometimes
moving from east to west and sometimes from west to east and of

Quantitative Reasoning Questions
Percentages
A hat is being sold at a new price of 20% less than the original price. If the original price was $15, what is
the new price of the hat?
a)
b)
c)
d)
e)
$6
$8
$10
$12
$14
A car is being sold at a new price of 45

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CHAPTER 18
SPECTROSCOPIC BINARY STARS
18.1 Introduction
There are many binary stars whose angular separation is so small that we cannot
distinguish the two components even with a large telescope but we can detect the fact
that there are two stars fom th

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CHAPTER 13
CALCULATION OF ORBITAL ELEMENTS
13.1 Introduction
We have seen in Chapter 10 how to calculate an ephemeris from the orbital elements.
This chapter deals with the rather more difficult problem of determining the orbital
elements from the obser

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CHAPTER 10
COMPUTATION OF AN EPHEMERIS
10.1 Introduction
The entire enterprise of determining the orbits of planets, asteroids and comets is quite a
large one, involving several stages. New asteroids and comets have to be searched for
and discovered. Kn

th
Paper for the Institute for Small Business and Entrepreneurship Conference, Dublin 7-8 November, 2012
The Role of UK Government Equity Funds in Addressing the Finance Gap facing SMEs with
Growth Potential
Robert Baldock
Principal Researcher
CEEDR, Midd