Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
Spacecraft will take around 49 minute and 92 second to coast from perigee to the apogee.
We use Kepler's third law for which the time period is defined as
[tex]T = 2 \pi \sqrt[]{\frac{a^{3} }{GM} }[/tex]
The Prague's altitude is the shortest distance between the earth's surface and satellite.
The average distance of the perigee and apogee of satellite can be defined as
a = R + [tex]\frac{r_{1} +r_{2} }{2}[/tex]
R is the radius of earth (6374.1km)
r1 is the lower orbit. (500km)
r2 is the higher orbit.(900km)
Using the values in above equation we get:
6374.1+ (500+ 900)/2
a = 7078.1 km
Time taken to fly from perigee to apogee equals to the half of the orbital speed so
t = T/2
[tex]t = \pi \sqrt[]{\frac{a^{3} }{GM} }[/tex]
by using the values we get-
= √[(7078.1)³/6.67 ×10⁻¹¹ × 6×10²⁴]
= 295573.94 * 10⁻²
= 2995.73s
t = 49 mint 92 sec
It will take around 49 minute and 92 second to coast from perigee to the apogee.
To know more about perigee ang apogee :
https://brainly.com/question/28538480
#SPJ4
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.
