As mentioned on page \(13,\) the MCO was lost because of a mix-up in the units
used to calculate the force needed to correct its trajectory. Ground-based
computers generated the force correction file. On September \(29,1999,\) it was
discovered that the forces reported by the ground-based computer for use in
MCO navigation software were low by a factor of \(4.45 .\) The erroneous
trajectory brought the MCO \(56 \mathrm{km}\) above the surface of Mars; the
correct trajectory would have brought the MCO approximately \(250 \mathrm{km}\)
above the surface. At \(250 \mathrm{km},\) the MCO would have successfully
entered the desired elliptic orbit. The data contained in the force correction
file were delivered in lb-sec instead of the required SI units of newton-sec
for the MCO navigation software. The newton is the SI unit of force and is
described in Appendix B. The British Engineering (gravitational) system uses a
pound (lb) as a unit of force and \(\mathrm{ft} / \mathrm{s}^{2}\) as a unit of
acceleration. In turn, the pound is defined as the pull of Earth on a unit of
mass at a location where the acceleration due to gravity is \(32.174
\mathrm{ft} / \mathrm{s}^{2} .\) The unit of mass in this case is the slug,
which is \(14.59 \mathrm{kg}\). Thus, BE unit of force \(=1\) pound \(=(\text {
slug })\left(\mathrm{ft} / \mathrm{s}^{2}\right)\) Use this information to
confirm that BE unit of force \(=4.45 \times\) SI unit of force 1 pound \(=4.45\)
newton