[net.space] Orbital Mechanics Question

dietz@SLB-DOLL.CSNET (Paul Dietz) (12/18/85)

The minimum velocity change needed to get from Mars orbit to an ellipse
with perihelion at earth orbit is about 2.7 km/sec.  Launched from Mars,
however, this orbit will reach Earth only once every year or so
(if launched at other times it will miss).  My question is: what is the
minimum velocity change needed to get from Mars orbit to an orbit that
intersects Earth, independent of the planets' relative positions?  Ignore
velocity needed to escape from Mars, and assume the vehicle must intersect
the Earth within one orbit.

I don't know the answer to this one; I would really appreciate a
solution or a pointer to a solution.

Paul Dietz
dietz%slb-doll@csnet-relay

dsmith@HPLABSC (David Smith) (12/20/85)

> The minimum velocity change needed to get from Mars orbit to an ellipse
> with perihelion at earth orbit is about 2.7 km/sec.

This could probably be reduced if you're willing to spend more time in
transit.  I believe the Galileo project had a history like this:  funding
was slow in coming, slipping the projected launch date past the favorable
conditions necessary to launch Galileo directly to Jupiter with an IUS.*
So, it was decided to launch the craft into an Earth-crossing orbit, so
that ~12-18 months later (I'm fuzzy on the figure), it would get a
gravitational slingshot to Jupiter.  Unfortunately, that meant an
additional 2 years in space between launch and arrival for something to
fail.  Luckily, DOD decided it needed a higher energy upper stage, and set
about to build the wide-body Centaur.  So Galileo will ride a Centaur.

*IUS = Interim Upper Stage, originally.  But since the space tug did not
get funded, the "I" now stands for Inertial (whatever that means).

<Basenote drift on: switch over to discussion on cheaper launchers>
We may get another such help from the military.  In AW&ST, Dec.16,1985,
p.16 (quoted without permission, and omitting large chunks):

    Cost to transport materials to Earth orbit using the shuttle is about
    $1,500/lb., and this cost must be reduced to $150-200/lb. if a
    ballistic missile defense systems [sic] employing space-based assets is
    to become affordable, Lt. Gen. James A. Abrahamson, SDIO director, has
    said.

    If this cost reduction can be achieved, commercial activities that
    require access to space will realize long-term benefits from the
    program even though the primary purpose of near-term vehicles remains
    military.  Recent Air Force studies have concluded that the nation
    requires short notice, on-call access to space to service and replenish
    the increasing number of military space systems.

    Research in hypersonic propulsion, advanced materials and computational
    fluid dynamics has created a consensus in the scientific community that
    the vehicle may be be feasible even though there is a high degree of
    risk in the program.

    Recent breakthroughs in ramjet/scramjet technology, materials and
    structural cooling techniques, the availability of supercomputers for
    design and simulation, and solid oxide fuel cells with unprecedented
    power-to-weight ratios have contributed to this consensus.

    The present concept envisions a hydrogen-powered aircraft capable of
    horizontal takeoff and landing from conventional runways, thus reducing
    the large support crews now required for shuttle launches.  The
    aerospace plane would operate at Mach 12-25 and altitudes of
    100,000-350,000 ft.

			David Smith