Problem
1.
Orbital
elements.
a.
Draw
the
GEC
with
the
first
point
in
Aries
directed
out
of
the
page
such
that
the
earth
appears
as
a
circle
(shown).
On
the
same
graph.
draw
the
orbits
for
four
geocentric
satellites
that
share
the
following
orbital
parameters:
a=1.5Rz,
e=0;
0
=
0°
but
have
different
inclinations
given
by
i
=
0°,45°,90°
120°.
Draw
arrows
to
mark
the
direction
of
travel
of
the
satellite
at
the
line
of
ascending
nodes
for
each
case.
Explain
why
the
1200
is
called
retrograde.
A
e
>
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v
Qi
b.
Suppose
the
Earth
1s
at
the
summer
solstice.
A
geocentric
spacecraft
has
a
semi-major
axis
of
a
and
an
eccentricity
of
e.
1.
You
are
allowed
to
vary
0,,.and
6
.
What
orbital
elements
will
minimize
the
distance
between
the
spacecraft
and
Sun?
11.
Draw
the
Sun.
Earth.
and
GEC
axes.
Now
draw
your
orbit
from
part
(1)
on
this
figure
and
label
the
point
where
the
spacecraft
will
be
closest
to
the
Sun.
111.
What
1s
the
distance
between
the
spacecraft
and
sun
at
this
minimum
distance?
Express
your
answer
in
terms
of
RE
(distance
from
Sun
to
Earth).
a.
and
e.
c.
A
satellite
is
in
elliptical
orbit
with
the
following
parameters:
e =
0.5,
a
=
8200
km,
i=170°,
6=50°,
0=170°,
and
w=>50°.
What
are the
orbital
parameters
for
a
satellite
located
at
the
same
position
and
with
an
identical
orbit
trajectory
but
in
prograde
(i<90:),
motion?
