Posted by Kendall on Tuesday, January 3, 2012 at 6:17pm.
A deorbit burn has been performed. During this deorbit burn a precalculated Delta V (change in velocity) of 290 ft/s (or 88.4 m/s) will be used to decrease the Shuttle’s altitude from 205 miles to 60 miles at perigee. The Shuttle’s Orbital Maneuvering System (OMS) engines provide a combined thrust of 12,000 forcepounds or 53,000 Newtons. The Shuttle weighs 2.50 x 105 lbs when fully loaded. The Shuttle has a mass of 1.13 x 105 kg when fully loaded.
Calculate how long a deorbit burn must last in minutes and seconds to achieve the Shuttle’s change in altitude from 205 miles to 60 miles at perigee.

Physics  Eric, Tuesday, February 5, 2013 at 12:07am
Method 1
Step 1: Solve for acceleration
From F=ma, rearrange to a=F/m
a=F/m= (53000 N)/(1.13 x 〖10〗^5 kg)= .469026549 〖m/s〗^2
Step 2: Solve for time
t=∆v/a=(88.4 m/s)/(.469026549 〖m/s〗^2 )=188.4754716 seconds
Step 3: Convert seconds to minutes
(188.4754716 seconds)/60=3.141257859 minutes
Step 4: Convert minutes to seconds
.141257859 × 60=8.47547154 seconds
Final answer:
It would require 3 minutes and 8 seconds of burn time to change the Shuttle’s altitude from 205 miles to 60 miles at perigee.
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